Grade 6

Module 1: Ratios and Unit Rates

Eureka MathDesmos Math 6–A1
Topic A Representing and Reasoning About Ratios 
Lesson 1: Ratios
Lesson 2: Ratios
Unit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 3: Rice Ratios
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 7: Mixing Paint, Part 1
Lesson 8 World Records (Print available)
Lesson 11 Community Life (Print available)
Practice Day 1 (Print available)
Lesson 5: Solving Problems by Finding Equivalent Ratios
Lesson 6: Solving Problems by Finding Equivalent Ratios
Unit 2
Lesson 5 Balancing Act
 
Lesson 7: Associated Ratios and the Value of a Ratio
Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio
Unit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Topic B Collections of Equivalent Ratios 
Lesson 9: Tables of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: The Structure of Ratio Tables-Additive and MultiplicativeUnit 2
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 11: Comparing Ratios Using Ratio TablesUnit 2
Lesson 10: Balloons
Lesson 12: From Ratio Tables to Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 8: World Records (Print available)
Lesson 12: Mixing Paint, Part 2
Lesson 14: Lunch Waste (Print available)
Practice Day 2 (Print available)
Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio 
Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane 
Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections 
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 2
Lesson 8: World Records (Print available)
 
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 17: From Rates to Ratios 
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7: More Soft Serve
Lesson 19: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 20: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 21: Getting the Job Done—Speed, Work, and Measurement Units
Lesson 22: Getting the Job Done—Speed, Work, and Measurement Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions.Unit 3
Lesson 13: A Country as a Village
Topic D Percent 
Lesson 24: Percent and Rates per 100Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 25: A Fraction as a Percent 
Lesson 26: Percent of a Quantity.Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 27: Solving Percent Problems
Lesson 28: Solving Percent Problems
Lesson 29: Solving Percent Problems
Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Practice Day 2 (Print available)

Module 2: Arithmetic Operations Including Division of Fractions

Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models.Unit 4
Lesson 2: Making Connections (Print available)
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 1: Cookie Cutter
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 5: Garden Bricks
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 5: Creating Division Stories. 
Lesson 6: More Division Stories. 
Lesson 7: The Relationship Between Visual Fraction Models and Equations 
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap [Free lesson]
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 10: The Distributive Property and the Products of DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 11: Fraction Multiplication and the Products of DecimalsUnit 5
Lesson 7: Multiplication Methods (Print available)
Topic C Dividing Whole Numbers and Decimals
Lesson 12: Estimating Digits in a Quotient 
Lesson 13: Dividing Multi-Digit Numbers Using the AlgorithmUnit 5
Lesson 9: Long Division Launch
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions. 
Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math 
Topic D Number Theory—Thinking Logically About Multiplicative Arithmetic 
Lesson 16: Even and Odd Numbers 
Lesson 17: Divisibility Tests for 3 and 9 
Lesson 18: Least Common Multiple and Greatest Common FactorUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)
Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm 

Module 3: Rational Numbers

Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and ValueUnit 7Lesson 2: Digging Deeper
Lesson 2: Real-World Positive and Negative Numbers and Zero.
Lesson 3: Real-World Positive and Negative Numbers and Zero.
Unit 7 Lesson 4: Sub-Zero
Lesson 4: The Opposite of a Number
Lesson 5: The Opposite of a Number’s Opposite
Lesson 6: Rational Numbers on the Number Line
Unit 7Lesson 2: Digging Deeper
Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers 
Lesson 11: Absolute Value—Magnitude and Distance
Lesson 12: The Relationship Between Absolute Value and Order
Unit 7Lesson 5: Distance on the Number Line
Lesson 13: Statements of Order in the Real World. 
Topic C Rational Numbers and the Coordinate Plane 
Lesson 14: Ordered Pairs
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 16: Symmetry in the Coordinate Plane. 
Lesson 17: Drawing the Coordinate Plane and Points on the PlaneLesson 10: The A-maze-ing Coordinate Plane
Lesson 18: Distance on the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 19: Problem Solving and the Coordinate PlaneUnit 7Lesson 12: Graph Telephone (Print available)Practice Day 2 (Print available)

Module 4: Expressions and Equations

Topic A Relationships of the Operations 
Lesson 1: The Relationship of Addition and Subtraction 
Lesson 2: The Relationship of Multiplication and Division 
Lesson 3: The Relationship of Multiplication and Addition. 
Lesson 4: The Relationship of Division and Subtraction 
Topic B Special Notations of Operations 
Lesson 5: ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Practice Day 2 (Print available)
Lesson 6: The Order of Operations 
Topic C Replacing Letters and Numbers 
Lesson 7: Replacing Letters with Numbers
Lesson 8: Replacing Numbers with Letters
Unit 6Lesson 7: Border TilesLesson 12: Squares and Cubes
Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: Writing Addition and Subtraction ExpressionsUnit 6Lesson 6: Vari-applesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 13: Writing Division Expressions 
Lesson 14: Writing Division Expressions 
Topic E Expressing Operations in Algebraic Form 
Lesson 15: Read Expressions in Which Letters Stand for Numbers
Lesson 16: Write Expressions in Which Letters Stand for Numbers
Lesson 17: Write Expressions in Which Letters Stand for Numbers
Unit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6Lesson 7: Border TilesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and DifferencesLesson 12: Squares and Cubes
Lesson 22: Writing and Evaluating Expressions—ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Lesson 12: Squares and CubesPractice Day 2 (Print available)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6Lesson 1: Weight for It [Free lesson]
Lesson 25: Finding Solutions to Make Equations TrueUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five EquationsLesson 3: Hanging Around
Lesson 27: One-Step Equations—Multiplication and Division
Lesson 28: Two-Step Problems—All Operations
Lesson 29: Multi-Step Problems—All Operations
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve
Topic H Applications of Equations 
Lesson 30: One-Step Problems in the Real World
Lesson 31: Problems in Mathematical TermsLesson Lesson 32: Multi-Step Problems in the Real World
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and SolvePractice Day 1 (Print available)
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1Lesson 3: Exploring Parallelograms (Print available) [Free lesson]Lesson 4: Off the Grid
Lesson 2: The Area of Right Triangles
Lesson 3: The Area of Acute Triangles Using Height and Base
Unit 1Lesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 4: The Area of All Triangles Using Height and BaseUnit 1Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 5: The Area of Polygons Through Composition and DecompositionUnit 1Lesson 2: LettersLesson 8: Pile of PolygonsPractice Day 1 (Print available)
Lesson 6: Area in the Real World 
Topic B Polygons on the Coordinate Plane 
Lesson 7: Distance on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 8: Drawing Polygons in the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 10: Distance, Perimeter, and Area in the Real World 
Topic C Volume of Right Rectangular Prisms 
Lesson 11: Volume with Fractional Edge Lengths and Unit CubesUnit 4Lesson 11: Classroom ComparisonsLesson 12: Puzzling Areas (Print available) [Free lesson]Lesson 13: Volume ChallengesLesson 14: Planter Planner (Print available)
Lesson 12: From Unit Cubes to the Formulas for Volume  
Lesson 13: The Formulas for Volume 
Lesson 14: Volume in the Real WorldUnit 4Lesson 14: Planter Planner (Print available)
Topic D Nets and Surface Area 
Lesson 15: Representing Three-Dimensional Figures Using Nets
Lesson 16: Constructing Nets
Lesson 17: From Nets to Surface Area
Unit 1Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1Lesson 9: Renata´s Stickers [Free lesson]Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)Practice Day 2 (Print available)
Lesson 19: Surface Area and Volume in the Real World 
Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums 
Lesson 3: The Area of Acute Triangles Using Height and BaseUnit 1Lesson 5 Exploring TrianglesLesson 6 Triangles and ParallelogramsLesson 7 Off the Grid, Part 2

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 1: Posing Statistical QuestionsUnit 8 Lesson 1: Screen TimeLesson 2: Dot Plots
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8 Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic B Summarizing a Distribution That Is Approximately Symmetric Using the Mean and Mean Absolute Deviation 
Lesson 6: Describing the Center of a Distribution Using the Mean
Lesson 7: The Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 8: Variability in a Data DistributionUnit 8Lesson 8: Pop It!
Topic 9: The Mean Absolute Deviation (MAD).Unit 8Lesson 9: Hoops
Lesson 10: Describing Distributions Using the Mean and MAD
Lesson 11: Describing Distributions Using the Mean and MAD
Unit 8Lesson 10 Hollywood Part 1Practice Day 1 (Print available)
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 13: Describing Variability Using the Interquartile Range (IQR)Unit 8Lesson 13: Pumpkin Patch
Lesson 14: Summarizing a Distribution Using a Box Plot
Lesson 15: More Practice with Box Plots
Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Understanding Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic D Summarizing and Describing Distributions 
Lesson 17: Developing a Statistical Project 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8Lesson 5: The Plot Thickens [Free lesson]
Lesson 19: Comparing Data DistributionsUnit 8Lesson 15: Hollywood Part 2
Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape
Unit 8Lesson 16: Hollywood Part 3 (Print available)
Lesson 22: Presenting a Summary of a Statistical Project 
Lesson 3: Creating a Dot PlotUnit 8Lesson 2 Dot PlotsLesson 3 Minimum Wage [Free lesson]Lesson 4 Lots More Dots

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathDesmos Math 6–A1
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
 
Unit 4
Lesson 1: Mosaics [Free lesson]
Lesson 2: Peach Cobbler (Print available)
Lesson 2: Proportional RelationshipsUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
 
Unit 4
Lesson 3: Sticker Sizes
Lesson 3: Identifying Proportional and Non-Proportional Relationships in Tables
Lesson 4: Identifying Proportional and Non-Proportional Relationships in Tables
Unit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic B Unit Rate and the Constant of Proportionality 
Lesson 7: Unit Rate as the Constant of ProportionalityUnit 2
Lesson 2: Balloon Float
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two [Free lesson]
Lesson 13: Finding Equivalent Ratios Given the Total QuantityUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 14: Multi-Step Ratio Problems 
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 17: The Unit Rate as the Scale FactorUnit 1
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Practice Day 1 (Print available)
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 20: An Exercise in Creating a Scale Drawing
Lesson 21: An Exercise in Changing Scales
Lesson 22: An Exercise in Changing Scales
Unit 1
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Practice Day 2 (Print available)

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 6: The Distance Between Two Rational Numbers 
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10; Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 8: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Lesson 9: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 12: Division of IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions 
Lesson 14: Converting Rational Numbers to Decimals Using Long DivisionUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers 
Topic C Applying Operations with Rational Numbers to Expressions and Equations 
Lesson 17: Comparing Tape Diagram Solutions to Algebraic SolutionsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Lesson 19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Unit 5
Lesson 9 Expressions
Lesson 20: Investments—Performing Operations with Rational Numbers
Lesson 21: If-Then Moves with Integer Number Cards
Lesson 22: Solving Equations Using Algebra
Lesson 23: Solving Equations Using Algebra
Unit 6
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 6: Balancing Equations
Lesson 7: Keeping It True (Print available)
Lesson 12: Community Day (Print available)
 
Unit 5
Lesson 3: Bumpers

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 1: Generating Equivalent Expressions
Lesson 2: Generating Equivalent Expressions
Unit 5 Lesson 9: Expressions (Print available)Unit 6Lesson 9: Always-Equal MachinesLesson 11: Equation Roundtable (Print available)
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6 Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and ExpandingLesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)
Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions 
Lesson 6: Collecting Rational Number Like Terms 
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 7: Understanding EquationsUnit 6Lesson 2: Smudged ReceiptsLesson 5: Balancing MovesLesson 6: Balancing Equations
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)
Lesson 10: Angle Problems and Solving EquationsUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Lesson 11: Angle Problems and Solving Equations 
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 15: Graphing Solutions to InequalitiesUnit 6Lesson 13: I Saw the SignsPractice Day 2 (Print available)
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 17: The Area of a CircleUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 18: More Problems on Area and CircumferenceUnit 3Lesson 4: Perimeter ChallengesLesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. Square
Lesson 19: Unknown Area Problems on the Coordinate Plane
Lesson 20: Composite Area Problems
Unit 3Lesson 4: Perimeter ChallengesPractice Day 2 (Print available)
Lesson 21: Surface Area
Lesson 22: Surface Area
Lesson 23: The Volume of a Right Prism
Lesson 24: The Volume of a Right Prism
Unit 7Lesson 10: Simple PrismsLesson 11: More Complicated Prisms Lesson 12: Surface Area Strategies (Print Available)Lesson 13: Popcorn PossibilitiesPractice Day 2 (Print available)
Lesson 25: Volume and Surface Area
Lesson 26: Volume and Surface Area
Unit 7Lesson 13: Popcorn PossibilitiesPractice Day 2

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 2: Part of a Whole as a PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)
Lesson 3: Comparing Quantities with PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 4: Percent Increase and DecreaseUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day (Print available)
Topic C Scale Drawings 
Lesson 12: The Scale Factor as a Percent for a Scale Drawing 
Lesson 13: Changing ScalesUnit 1Lesson 1: Scaling Machines [Free lesson]Lesson 2: Scaling RobotsLesson 3: Make It ScaleLesson 4: Scale Factor ChallengesLesson 5: TilesLesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 1 (Print available)Practice Day 2 (Print available) Unit 3Lesson 1 Toothpicks
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available) Unit 3Lesson 1: Toothpicks
Lesson 15: Solving Area Problems Using Scale DrawingsUnit 1Lesson 5: Tiles
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Mixture Problems 
Lesson 18: Counting Problems 

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 2: Estimating Probabilities by Collecting Data
Lesson 3: Chance Experiments with Equally Likely Outcomes
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Unit 8Lesson 3: Mystery BagLesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: Chance Experiments with Outcomes That Are Not Equally LikelyUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 7: Calculating Probabilities of Compound EventsUnit 8Lesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)Practice Day 1 (Print available)
Topic B Estimating Probabilities 
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
Unit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Conducting a Simulation to Estimate the Probability of an EventUnit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 11: Conducting a Simulation to Estimate the Probability of an Event
Lesson 12: Applying Probability to Make Informed Decisions
Unit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Sampling VariabilityUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and Samples
Lesson 18: Sampling Variability and the Effect of Sample Size
Lesson 19: Understanding Variability When Estimating a Population Proportion
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 20: Estimating a Population Proportion 
Topic D Comparing Populations 
Lesson 21: Why Worry About Sampling Variability?Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7Lesson 1: PinwheelsLesson 2: Friendly AnglesLesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic B Constructing Triangles 
Lesson 5: Identical TrianglesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than One
Lesson 6: Drawing Geometric ShapesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)
Lesson 7: Drawing Parallelograms 
Lesson 8: Drawing TrianglesUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included
Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side Angle
Unit 7Lesson 8: Can You Draw It? (Print available)
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle 
Lesson 13: Checking for Identical Triangles
Lesson 14: Checking for Identical Triangles
Unit 7Lesson 6: Is It Enough?Lesson 7: More Than OnePractice Day 1
Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems 
Topic C Slicing Solids 
Lesson 16: Slicing a Right Rectangular Prism with a Plane
Lesson 17: Slicing a Right Rectangular Pyramid with a Plane
Lesson 18: Slicing on an Angle
Unit 7Lesson 9: Slicing Solids
Lesson 19: Understanding Three-Dimensional Figures 
Topic D Problems Involving Area and Surface Area 
Lesson 20: Real-World Area ProblemsUnit 3Lesson 5: Area Strategies
Lesson 21: Mathematical Area ProblemsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)
Lesson 22: Area Problems with Circular RegionsUnit 3Lesson 5: Area StrategiesLesson 8: Area Challenges [Free lesson]
Lesson 23: Surface Area
Lesson 24: Surface Area
Unit 7Lesson 12: Surface Area Strategies (Print available)Lesson 13: Popcorn Possibilities
Topic E Problems Involving Volume 
Lesson 25: Volume of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 13: Popcorn Possibilities
Lesson 26: Volume of Composite Three-Dimensional ObjectsUnit 7Lesson 11: More Complicated Prisms
Lesson 27: Real-World Volume ProblemsUnit 7Lesson 13: Popcorn Possibilities

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathDesmos Math 6–A1
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 Lesson 1 Circles [Free lesson]Lesson 2 Combining Exponents
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 Lesson 2 Combining ExponentsLesson 3 Power Pairs (Print available) [Free lesson]Lesson 4 Rewriting Powers
Lesson 4: Numbers Raised to the Zeroth Power
Lesson 5: Negative Exponents and the Laws of Exponents
Unit 7 Lesson 5 Zero and Negative ExponentsLesson 6 Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: Proofs of Laws of Exponents 
Topic B Magnitude and Scientific Notation 
Lesson 7: MagnitudeUnit 7 Lesson 7 Scales and Weights
Lesson 8: Estimating QuantitiesUnit 7 Lesson 7: Scales and WeightsLesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 11: Efficacy of Scientific NotationUnit 7 Lesson 13: Star Power
Lesson 12: Choice of Unit 
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using TechnologyUnit 7  Lesson 13: Star Power Practice Day 2 (Print available)

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Translating LinesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson] Unit 3Lesson 6: Translations
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Topic B Sequencing the Basic Rigid Motions 
Lesson 7: Sequencing Translations
Lesson 8: Sequencing Reflections and Translations
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]Lesson 13: Tessellate [Free lesson]Practice Day
Topic C Congruence and Angle Relationships 
Lesson 11: Definition of Congruence and Some Basic PropertiesUnit 1 Lesson 7: Are They the Same?Lesson 8: No Bending, No StretchingLesson 9: Are They Congruent?Practice Day
Lesson 12: Angles Associated with Parallel LinesUnit 1 Lesson 10: Transforming Angles  
Lesson 13: Angle Sum of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)
Lesson 14: More on the Angles of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Topic D: The Pythagorean Theorem 
Lesson 15: Informal Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 16: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco TruckPractice Day 2 (Print available)

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane (Print available)
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 6: Dilations on the Coordinate PlaneUnit 8Lesson 4: Dilations on a Plane (Print available)
Lesson 7: Informal Proofs of Properties of Dilations 
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 10: Informal Proof of AA Criterion for SimilarityUnit 2Lesson 7: Are Angles Enough?
Lesson 11: More About Similar TrianglesUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 12: Modeling Using SimilarityUnit 2Lesson 8: ShadowsLesson 9: Water SlideLesson 10: Points on a PlanePractice Day 
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 14: The Converse of the Pythagorean TheoremUnit 8 Lesson 9: Make It Right

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 1: Writing Equations Using Symbols 
Lesson 2: Linear and Nonlinear Expressions in x 
Lesson 3: Linear Equations in xUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 4: Solving a Linear EquationUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 5: Writing and Solving Linear EquationsUnit 3Lesson 1: Turtle Time Trials Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Solutions of a Linear EquationUnit 3Lesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: Classification of SolutionsUnit 4Lesson 7: All, Some, or None?
Lesson 8: Linear Equations in Disguise 
Lesson 9: An Application of Linear Equations 
Topic B Linear Equations in Two Variables and Their GraphsUnit 3Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 7: Water CoolerLesson 8: Landing PlanesLesson 9: Coin Capture
Lesson 11: Constant RateUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day  Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 12: Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: Translations Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: SolutionsLesson 11: Pennies and Quarters
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical LinesUnit 3 Lesson 9: Coin CapturePractice Day  [Free lesson]
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 16: The Computation of the Slope of a Non-Vertical LineUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 17: The Line Joining Two Distinct Points of the Graph 𝑦 = 𝑚x + 𝑏 Has Slope mUnit 3Lesson 7: Water Cooler
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3Lesson 5: Flags [Free lesson]Lesson 7: Water Cooler
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 21: Some Facts About Graphs of Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: TranslationsPractice Day 
Lesson 22: Constant Rates RevisitedUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: Posters
Lesson 23: The Defining Equation of a LineUnit 3Lesson 10: SolutionsLesson 11: Pennies and Quarters
Topic D Systems of Linear Equations and Their Solutions 
Lesson 24: Introduction to Simultaneous EquationsUnit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 26: Characterization of Parallel LinesUnit 3 Lesson 6: Translations
Lesson 27: Nature of Solutions of a System of Linear EquationsUnit 4  Lesson 9: On or Off the Line?
Lesson 28: Another Computational Method of Solving a Linear System 
Lesson 29: Word Problems 
Lesson 30: Conversion Between Celsius and Fahrenheit 
Topic E Pythagorean Theorem 
Lesson 31: System of Equations Leading to Pythagorean Triples 

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Formal Definition of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson] Lesson 3: Function or Not?
Lesson 3: Linear Functions and ProportionalityUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window Frames
Lesson 4: More Examples of FunctionsUnit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 5: Graphs of Functions and EquationsUnit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 7: Comparing Linear Functions and GraphsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Graphs of Simple Nonlinear Functions 
Topic B Volume 
Lesson 9: Examples of Functions from GeometryUnit 8Lesson 1: Tilted SquaresLesson 2: From Squares to Roots
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 11: Volume of a SphereUnit 5 Lesson 15: Spheres Practice Day 2 (Print available)

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 1: Modeling Linear RelationshipsUnit 5 Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking Cups
Lesson 3: Representations of a LineUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing Stories
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Practice Day 1 (Print available) [Free lesson]
Lesson 8: Informally Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 9: Determining the Equation of a Line Fit to Data 
Topic C Linear and Nonlinear Models 
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5 Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesUnit 6 Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 2 (Print available)
Lesson 12: Nonlinear Models in a Data Context 
Topic D Bivariate Categorical Data 
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way TableUnit 6 Lesson 9: Tasty Fruit
Lesson 14: Association Between Categorical VariablesUnit 6 Lesson 10: Finding Associations [Free lesson] Lesson 11: Federal Budgets Practice Day 3

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 2: Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 3: Existence and Uniqueness of Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Lesson 4: Simplifying Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 5: Solving Equations with Radicals 
Topic B Decimal Expansions of Numbers 
Lesson 6: Finite and Infinite Decimals
Lesson 7: Infinite Decimals
Lesson 8: The Long Division Algorithm
Lesson 9: Decimal Expansions of Fractions, Part 1
Lesson 10: Converting Repeating Decimals to Fractions
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 11: The Decimal Expansion of Some Irrational Numbers 
Lesson 12: Decimal Expansions of Fractions, Part 2 
Lesson 13: Comparing Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 14: Decimal Expansion of π 
Topic C The Pythagorean Theorem 
Lesson 15: Pythagorean Theorem, RevisitedUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 16: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 17: Distance on the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Topic D Applications of Radicals and Roots 
Lesson 19: Cones and Spheres 
Lesson 20: Truncated Cones 
Lesson 21: Volume of Composite Solids 
Lesson 22: Average Rate of Change 
Lesson 23: Nonlinear Motion 

Eureka Math-NEW

To view this protected page, enter the password below:



Eureka Math® crosswalk to Amplify Desmos Math free lessons

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathAmplify Classroom
Topic A Representing and Reasoning About Ratios 
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 4: Fruit Lab
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 3
Lesson 6: Soft Serve
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 6: Soft Serve
Lesson 24: Percent and Rates per 100Unit 3
Lesson 9: Lucky Duckies

Module 2: Arithmetic Operations Including Division of Fractions

Topic A Dividing Fractions by Fractions
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 3: Flour Planner
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 6: Fill the Gap
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 6: Fill the Gap
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Rational Numbers

Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 4: Order in the Class

Module 4: Expressions and Equations

Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: The Relationship of Addition and SubtractionUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6
Lesson 1: Weight for It
Lesson 25: Finding Solutions to Make Equations TrueUnit 6
Lesson 1: Weight for It
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6
Lesson 1: Weight for It
Topic H Applications of Equations 
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7
Lesson 7: Tunnel Travels

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Topic D Nets and Surface Area 
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1
Lesson 10: Renata’s Stickers

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8
Lesson 3: Minimum Wage
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8
Lesson 5: The Plot Thickens
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8
Lesson 11: Toy Cars
Topic D Summarizing and Describing Distributions 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Creating a Dot PlotUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathAmplify Classroom
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint
 
Unit 4
Lesson 1: Mosaics
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops
Topic B Unit Rate and the Constant of Proportionality 
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 6: Two and Two
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 6: Two and Two
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 7: Will It Fit?

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10; Integer Puzzles
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 10: Integer Puzzles
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6
Lesson 10: Collect the Squares
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 10: Collect the Squares
Lesson 10: Angle Problems and Solving EquationsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3
Lesson 3: Measuring Around
Lesson 17: The Area of a CircleUnit 3
Lesson 9: Area Challenges
Lesson 18: More Problems on Area and CircumferenceUnit 3
Lesson 9: Area Challenges

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4
Lesson 1: Mosaics
Lesson 2: Part of a Whole as a PercentUnit 4
Lesson 1: Mosaics
Lesson 3: Comparing Quantities with PercentUnit 4
Lesson 1: Mosaics
Lesson 4: Percent Increase and DecreaseUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4
Lesson 12: Posing Percent Problems
(coming soon!)
Topic C Scale Drawings 
Lesson 13: Changing ScalesUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8
Lesson 10: Crab Island

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8
Lesson 10: Crab Island
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8
Lesson 10: Crab Island
Topic D Comparing Populations 
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8
Lesson 10: Crab Island

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7
Lesson 4: Missing Measures
Topic B Constructing Triangles 
Lesson 8: Drawing TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7
Lesson 5: Can You Build It?
Topic D Problems Involving Area and Surface Area 
Lesson 22: Area Problems with Circular RegionsUnit 3
Lesson 9: Area Challenges

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathAmplify Classroom
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 
Lesson 1: Circles
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 
Lesson 3: Power Pairs
Topic B Magnitude and Scientific Notation 
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Translating LinesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic B Sequencing the Basic Rigid Motions 
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1
Lesson 13: Tessellate
Lesson 14: More on the Angles of a TriangleUnit 1 
Lesson 12: Puzzling It Out

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2
Lesson 6: Social Scavenger Hunt
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2
Lesson 6: Social Scavenger Hunt
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 4: Solving a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Writing and Solving Linear EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Solutions of a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Topic B Linear Equations in Two Variables and Their GraphsUnit 3
Lesson 4: Flags
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3
Lesson 1: Turtle Time TrialsLesson 4: Flags
Lesson 11: Constant RateUnit 3
Lesson 4: Flags
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 
Lesson 4: Flags
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3
Lesson 4: Flags
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3
Lesson 4: Flags
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3
Lesson 4: Flags
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3
Lesson 4: Flags
Lesson 22: Constant Rates RevisitedUnit 3
Lesson 1: Turtle Time Trials
Topic D Systems of Linear Equations and Their Solutions 
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Formal Definition of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 3: Linear Functions and ProportionalityUnit 3
Lesson 1: Turtle Time Trials
Lesson 5: Graphs of Functions and EquationsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 3
Lesson 4: Flags
Lesson 7: Comparing Linear Functions and GraphsUnit 5
Lesson 5: The Tortoise and the Hare
Topic B Volume 
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5
Lesson 11: Cylinders

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5
Lesson 1: Turtle CrossingLesson 5: The Tortoise and the Hare
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 
Lesson 3: Robots
Lesson 8: Informally Fitting a LineUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5
Lesson 5: The Tortoise and the Hare
Topic D Bivariate Categorical Data 
Lesson 14: Association Between Categorical VariablesUnit 6
Lesson 11: Finding Associations

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 2: Square RootsUnit 8
Lesson 4: Root Down
Lesson 4: Simplifying Square RootsUnit 8
Lesson 4: Root Down
Topic C The Pythagorean Theorem 
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck

Algebra 1

Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

Topic A: Introduction to Functions Studied this Year—Graphing Stories

Lesson 1: Graphs of Piecewise FunctionsPumpkin Prices
Lesson 2: Graphs of Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns

Topic C: Solving Equations and Inequalities

Lesson 10: True and False EquationsSame Position
Lesson 11: Solution Sets for Equations and InequalitiesWorking Backwards
Solving Strategies
Shelley the Snail
Lesson 19: Rearranging FormulasSubway Seats
Various Variables
Lesson 21: Solution Sets to Inequalities with Two VariablesPizza Delivery
Lesson 22 & Lesson 23: Solution Sets to Simultaneous Equations (and Inequalities)Shape It Up
Lizard Lines
Quilts
Seeking Solutions

Module 2: Descriptive Statistics

Topic D: Numerical Data on Two Variables

Lesson 14: Modeling Relationships with a LineCity Slopes
Residual Fruit
Penguin Populations
Lesson 19: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
Behind the Headlines
City Data

Module 3: Linear and Exponential Functions

Topic A: Linear and Exponential Sequences

Lesson 3: Arithmetic and Geometric SequencesSequence Carnival
More Visual Patterns
Lesson 5: The Power of Exponential GrowthCarlos’s Fish

Topic B: Describing Variability and Comparing Distributions

Lesson 4: Summarizing Deviations from the MeanFinding Desmo
Lesson 13: Interpreting the Graph of a FunctionCraft-a-Graph
Lesson 14: Linear and Exponential Models – Comparing Growth RatesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Topic D: Using Functions and Graphs to Solve Problems

Lesson 21: Comparing Linear and Exponential Models AgainPlane, Train, and Automobile
Lesson 21: Comparing Linear and Exponential Models AgainCarlos’s Fish

Module 4: Polynomial and Quadratic Expressions, Equations, and Functions

Topic A: Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles

Lesson 8: Exploring the Symmetry in Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Robot Launch
Lesson 9: Graphing Quadratic Functions from Factored Form, 𝑓(𝑥)=𝑎(𝑥−𝑚)(𝑥−𝑛)Two for One
Parabola Zapper
Shooting Stars
Lesson 10: Interpreting Quadratic Functions from Graphs and TablesStomp Rockets

Topic B: Using Different Forms for Quadratic Functions

Lessons 11–12: Completing the SquareSquare Tactic
Lesson 15: Using the Quadratic FormulaStomp Rockets in Space

Topic C: Function Transformations and Modeling

Lesson 18: Graphing Cubic, Square Root, and Cube Root FunctionsSorting Relationships
Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different WaysSorting Relationships

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsDesmos Math 6–A1
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane [Free lesson]
Lesson 2: Finding Area by Decomposing and Rearranging
Lesson 3: Reasoning to Find Area
Unit 1
Lesson 2: Letters
Topic 2: Parallelograms
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 8: Area of TrianglesUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 9: Formula for the Area of a Triangle
Lesson 10: Bases and Heights of Triangles
Unit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Topic 4: Polygons
Lesson 11: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons
Practice Day 1 (Print available)
Unit 7
Lesson 11: Polygon Maker
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 9: Renata´s Stickers [Free lesson]
Lesson 13: PolyhedraUnit 1Lesson 10: Plenty of Polyhedra
Lesson 14: Nets and Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 13: Take It To Go
Lesson 15: More Nets, More Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Practice Day 2 (Print available)
Lesson 16: Distinguishing Between Surface Area and Volume
Topic 6: Squares and Cubes 
Lesson 17: Squares and CubesUnit 6
Lesson 12: Squares and Cubes
Lesson 18: Surface Area of a Cube 
Topic 7: Let’s Put It to Work 
Lesson 19: Designing a TentUnit 1
Lesson 13: Take It To Go (Print available)

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)
Lesson 2: Representing Ratios with DiagramsUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)Lesson 3: Rice Ratios (Print available)
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 3: Rice Ratios (Print available)
Lesson 4: Color MixturesUnit 2Lesson 7: Mixing Paint, Part 1Lesson 12: Mixing paint, Part 2
Lesson 5: Defining Equivalent RatiosUnit 2Lesson 3: Rice Ratios (Print available)Lesson 4: Fruit Lab [Free lesson]Lesson 11: Community LifePractice Day 1 (Print available)
Topic 3: Representing Equivalent ratios
Lesson 6: Introducing Double Number Line DiagramsUnit 2Lesson 5: Balancing Act
Lesson 7: Creating Double Line DiagramsUnit 2Lesson 5: Balancing ActLesson 6: Product prices (Print available)
Lesson 8: How Much for One?Unit 2Lesson 6: Product prices (Print available)
Lesson 9: Constant SpeedUnit 2Lesson 8: World Records (Print available)
Lesson 10: Comparing Situations by Examining RatiosUnit 2Lesson 7: Mixing Paint, Part 1 
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2Lesson 9: Disaster Preparation [Free lesson]
Lesson 12: Navigating a Table of Equivalent Ratios
Lesson 13: Tables and Double Line Diagrams
Unit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1
Lesson 14: Solving Equivalent Ratio ProblemsUnit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1Lesson 10: BalloonsLesson 11: Community Life (Print available)
Topic 5: Part-Part-Whole Ratios
Lesson 15: Part-Part-Whole RatiosUnit 2Lesson 12: Mixing paint, Part 2Lesson 13: City Planning
Lesson 16: Solving More Ratio ProblemsUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Topic 6: Let’s Put It to Work 
Lesson 17: A Fermi ProblemUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)Practice Day 2 (Print available)

Unit 3: Rates and Percentages

Topic 1: Units of Measurement 
Lesson 1: The Burj KhalifaUnit 3
Lesson 4: Model Trains
Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements (Print available) [Free lesson]
Lesson 3: Measuring with Different-Sized Units
Lesson 4: Converting Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 8: More About Constant SpeedUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 9: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 11: Percentages and Double Number LinesUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 12: Percentages and Tape DiagramsUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 13: Benchmark percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 14: Solving Percentage Problems
Lesson 15: Finding This Percent of That
Lesson 16: Finding the Percentage
Unit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Topic 5: Let’s Put It to Work 
Lesson 17: Painting a RoomUnit 3
Lesson 13: A Country as a Village
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]

Unit 4: Dividing Fractions

Topic 1: Making Sense of Division 
Lesson 1: Size of Divisor and Size of Quotient
Lesson 2: Meanings of Division
Unit 4Lesson 1: Cookie Cutter
Lesson 3: Interpreting Division SituationsUnit 4Lesson 2: Making Connections (Print available)
Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters 
Lesson 5: How Many Groups (Part 2)Unit 4Lesson 5: Garden Bricks (Print available)
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson]
Lesson 7: What Fraction of a Group?
Lesson 8: How Much in Each Group? (Part 1)
Lesson 9: How Much in Each Group? (Part 2)
Unit 4Lesson 8: Potting Soil
Topic 3: Algorithm for Fraction Division
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges 
Lesson 11: Using an Algorithm to Divide FractionsUnit 4Lesson 9: Division ChallengesPractice Day
Topic 4: Fractions in Lengths, Areas, and Volumes
Lesson 12: Fractional LengthsUnit 4Lesson 11: Classroom Comparisons
Lesson 13: Rectangles with Fractional Side LengthsUnit 4Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 14: Fractional Lengths in Triangles and Prisms
Lesson 15: Volume of PrismsUnit 4Lesson 13: Volume Challenges
Topic 5: Let’s Put It to Work
Lesson 16: Solving Problems with FractionsUnit 4Lesson 10: Swap Meet (Print available)
Lesson 17: Fitting Boxes into BoxesUnit 4Lesson 14: Planter Planner (Print available)

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Topic 2: Adding and Subtracting Decimals
Lesson 2: Using Decimals to Represent Addition and SubtractionUnit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero DigitsUnit 5Lesson 4: Missing Digits
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits 
Topic 3: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5Lesson 6: Multiplying with Areas
Topic 4: Dividing Decimals
Lesson 9: Using the Partial Quotients MethodUnit 5Lesson 8: Division Diagrams
Lesson 10: Using Long DivisionUnit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in Decimals
Lesson 12: Dividing Decimals by Whole Numbers
Lesson 13: Dividing Decimals by Decimals
Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5Lesson 11: Movie Time [Free lesson]
Lesson 15: Making and Measuring Boxes
Lesson 12: Dividing Decimals by Whole Numbers 
Lesson 13: Dividing Decimals by DecimalsUnit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)
Lesson 3: Staying in BalanceUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging Around
Lesson 4: Practice Solving Equations and Representing Situations with EquationsUnit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Lesson 5: A New Way to Interpret a and bUnit 6Lesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Topic 2: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for NumbersUnit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Lesson 7: Revisit PercentagesUnit 3Lesson 10: What’s Missing?Lesson 11: Cost BreakdownLesson 12: More Bicycle Goals
Lesson 8: Equal and EquivalentUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging AroundLesson 6: Vari-apples
Topic 9: The Distributive Property, Part 1Unit 6Lesson 8: Products and Sums [Free lesson]
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences (Print available)
Topic 3: Expressions with Exponents
Lesson 12: Meaning of ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)
Lesson 13: Expressions with Exponents
Lesson 14: Evaluating Expressions with Exponents
Lesson 15: Equivalent Exponential Expressions
Unit 6Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes
Topic 4: Relationships Between Quantities 
Lesson 16: Two Related Quantities, Part 1
Lesson 17: Two Related Quantities, Part 2
Lesson 18: More Relationships
Unit 6Lesson 13: Turtles All the WayLesson 14: Representing RelationshipsLesson 15: Connecting Representations (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6Lesson 16: Subway fares (Print available) [Free lesson]

Unit 7: Rational Numbers

Topic 1: Positive and Negative Numbers
Lesson 1: Positive and Negative NumbersUnit 7Lesson 1: Can You Dig In [Free lesson]Lesson 2: Digging Deeper
Lesson 2: Points on the Number LineUnit 7Lesson 2: Digging Deeper
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 5: Using Negative Numbers to make Sense of ContextsUnit 7 Lesson 4: Sub-Zero
Lesson 6: Absolute Value of Numbers
Lesson 7: Comparing Numbers and Distance from Zero
Unit 7Lesson 5: Distance on the Number Line
Topic 2: Inequalities
Lesson 8: Writing and Graphing InequalitiesUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions
Topic 3: The Coordinate Plane
Lesson 11: Points on the Coordinate Plane
Lesson 12: Constructing the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 13: Interpreting Points on a Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 14: Distances on a Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Lesson 15: Shapes on the Coordinate PlaneUnit 1Lesson 1: Shapes on a Plane [Free lesson]Lesson 2: LettersLesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsUnit 7Lesson 3: Exploring Parallelograms (Print available)Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Topic 4: Common Factors and Common Multiples
Lesson 16: Common FactorsUnit 5Lesson 15: Common factors
Lesson 17: Common MultiplesUnit 5Lesson 14: Common Multiples
Lesson 18: Using Common Multiples and Common FactorsUnit 5Lesson 14: Common MultiplesLesson 15: Common factorsPractice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Drawing on the Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Topic 1: Data, Variability, and Statistical Questions
Lesson 1: Got Data?
Lesson 2: Statistical Questions
Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots
Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic 3: Measures of Center and Variability
Lesson 9: Mean
Lesson 10: Finding and Interpreting the Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 11: Variability and MADUnit 8Lesson 8: Pop It!
Lesson 12: Using Mean and MAD to Make ComparisonsUnit 8Lesson 9: Hoops
Topic 4: Median and IQR
Lesson 13: MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 14: Comparing Mean and MedianUnit 8Lesson 12: In the News
Lesson 15: Quartiles and Interquartile RangeUnit 8Lesson 13: Pumpkin Patch
Lesson 16: Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 17: Using Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 18: Using Data to Solve ProblemsUnit 8Lesson 16: Hollywood Part 3 (Print available)

Unit 9: Putting It All Together

Topic 1: Making Connections
Lesson 1: Fermi Problems
Lesson 2: In Our Class Were the World
Unit 3Lesson 13: A Country as a Village
Lesson 3: Rectangle MadnessUnit 5Lesson 14: Common MultiplesLesson 15: Common factors
Topic 2: Voting
Lesson 4: How Do We Choose?Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Lesson 5: More than Two ChoicesUnit 3Lesson 13: A Country as a Village
Lesson 6: Picking RepresentativesUnit 8Lesson 16: Hollywood Part 3 (Print available)

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Corresponding Parts and Scale FactorsUnit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks
Lesson 3: Making Scaled Copies
Lesson 4: Scaled Relationship
Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes
Lesson 5: The Size and the Scale FactorUnit 1Lesson 4: Scale Factor Challenges
Lesson 6: Scaling and AreaUnit 1Lesson 5: TilesPractice Day 1 (Print available)
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scale Drawings and Maps 
Lesson 9: Creating Scale Drawings
Lesson 10: Changing Scales in Scale Drawings
Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available)
Topic 3: Let’s Put It to Work
Lesson 13: Draw It to ScaleUnit 1Lesson 10: Room Redesign (Print available)

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2Lesson 1: Paint [Free lesson] 
Lesson 2: Introducing Proportional Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 7: Comparing Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 8: Comparing Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency
Lesson 9: Solving Problems About Proportional RelationshipsUnit 2Lesson 12: Water Efficiency
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency
Topic 5: Let’s Put It to Work
Lesson 14: For RepresentationsUnit 2Lesson 11: Four Representations (Print available)
Lesson 15: Using Water EfficiencyUnit 2Lesson 12: Water Efficiency

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3Lesson 1: Toothpicks
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 5: Circumference and Wheels 
Topic 2: Area of a Circle
Lesson 6: Estimating AreasUnit 3Lesson 5: Area Strategies
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 9: Applying Area of CirclesUnit 3Lesson 6: Radius Squares (Print available)
Topic 3: Let’s Put It to Work
Lesson 10: Distinguishing Circumference and AreaUnit 3Lesson 7: Why Pi?
Lesson 11: Stained-Glass WindowsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 5: Say It with Decimals 
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 7: One Hundred percentUnit 4Lesson 6: 100% (Print available)
Lesson 8: Percent Increase and Decrease with EquationsUnit 4Lesson 5: All the Equations
Lesson 9: More and Less than 1% 
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 12: Finding the PercentagesUnit 4Lesson 4: More and Less
Lesson 13: Measurement Error
Lesson 14: Percent Error
Lesson 15: Error Intervals
Unit 4Lesson 11: Bookcase Builder
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5Lesson 1: Floats and Anchors [Free lesson]
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 4: Money and Debts 
Lesson 5: Representing SubtractionUnit 5Lesson 5: Number Puzzles
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Topic 3: Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction
Lesson 9: Multiplying Rational Numbers
Lesson 10: Multiply!
Unit 5Lesson 7: Back in Time
Lesson 11: Dividing Rational NumbersUnit 5Lesson 8: Speeding Turtles
Lesson 12: Negative Rates 
Topic 4: Four Operations with Rational Numbers 
Lesson 13: Expressions with Rational NumbersUnit 5Lesson 9: Expressions (Print available)
Lesson 14: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Topic 5: Solving Equations When There Are Negative Numbers 
Lesson 15: Making and Measuring Boxes 
Lesson 16: Representing Contexts with Equations 
Topic 6: Let’s Put It to Work 
Lesson 17: The Stock market

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r
Lesson 1: Relationships Between Quantities
Unit 2 Lesson 1: Paint [Free lesson] Lesson 2: Balloon Float
Unit 4 Lesson 1: Mosaics [Free lesson] Lesson 2: Peach Cobbler (Print available)
Unit 6 Lesson 1: Toothpicks and Tiles
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Unit 6Lesson 2: Smudged ReceiptsLesson 3: EquationsLesson 4: Seeing Structure (Print available)
Lesson 6: Distinguishing between Two Types of SituationsUnit 6Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)
Topic 2: Solving Equations of the Form px + q and p(+ q) = and Problems That lead to Those Equations 
Lesson 7: Reasoning about Solving Equations (Part 1)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available) 
Lesson 8: Reasoning about Solving Equations (Part 2)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 9: Always-Equal Machines
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6Lesson 7: Keeping It True (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)
Lesson 11: Using Equations to Solve ProblemsUnit 6Lesson 12: Community Day (Print available)
Lesson 12: Solving Problems about Percent Increase or DecreaseUnit 4Lesson 10: Cost of College (Print available)
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6Lesson 13: I Saw the SignsLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15 Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available) 
Lesson 19: Expanding and FactoringUnit 6Lesson 8: Factoring and Expanding (Print available)Lesson 11: Equation Roundtable (Print available)
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Practice Day 1 (Print available)
Topic 5: Let’s Put It to Work
Lesson 23: Applications of ExpressionsUnit 6Lesson 12: Community Day (Print available)

Unit 7: Angles, Triangles, and Prisms

Topic 1: Angle Relationships
Lesson 1:Relationships of Angles
Unit 7 Lesson 1: Pinwheels Lesson 2: Friendly Angles [Free lesson] Lesson 3: Angle Diagrams
Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 4: Solving for Unknown AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available)
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic 2: Drawing Polygons with Given Conditions 
Lesson 6: Building Polygons (Part 1)
Lesson 7: Building Polygons (Part 2)
Unit 7Lesson 6: Is It Enough?
Lesson 8: Triangles with 3 Common MeasuresUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Topic 3: Solid Geometry
Lesson 11: Slicing SolidsUnit 7Lesson 9: Slicing Solids
Lesson 12: Volume of Right PrismsUnit 7Lesson 10: Simple Prisms
Lesson 13: Decomposing Bases for AreasUnit 7Lesson 11: More Complicated Prisms
Lesson 14: Surface Area of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available)
Lesson 15: Distinguishing Volume and Surface Area
Lesson 16: Applying Volume and Surface AreaUnit 7Lesson 13: Popcorn Possibilities
Topic 4: Let’s Put It to Work
Lesson 17: Building Prisms

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8 Lesson 1: How Likely? (Print available) [Free lesson] Lesson 2: Prob-bear-bilities [Free lesson] Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: More Estimating ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Estimating Probabilities Using SimulationUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 2: Probabilities of Multi-step Events
Lesson 7: Simulating Multi-step EventsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Lesson 8: Keeping Track of All Possible OutcomesUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Topic 9: Multi-step experiments
Lesson 10: Designing SimulationsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)
Topic 5: Let’s Put It to Work
Lesson 20: Memory TestUnit 8Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1Lesson 1: Transformers [Free lesson]
Lesson 2: Naming the MovesUnit 1Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Grid MovesUnit 1Lesson 3: Transformation GolfLesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting CoordinatedUnit 3Lesson 6: Translations
Lesson 4: Making the MovesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 5: Coordinate MovesUnit 1Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1Lesson 5: Getting CoordinatedLesson 6: Connecting the Dots [Free lesson]
Topic 2: Properties of Rigid Transformations 
Lesson 7: No Bending or StretchingUnit 1Lesson 7: No Bending, No Stretching
Lesson 8: Rotation PatternsUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 9: Moves in Parallel
Lesson 10: Composing Figures
Unit 1 Lesson 10: Transforming Angles
Topic 3: Congruence 
Lesson 11: What is the Same?
Lesson 12: Congruent Polygons
Lesson 13: Congruence
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?Practice Day (Print available)
Topic 4: Angles in a Triangle
Lesson 14: Alternate Interior Angles
Lesson 15: Adding the Angles in a Triangle
Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 16: Parallel Lines and the Angles in a TriangleUnit 1 Lesson 10: Transforming Angles
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate [Free lesson]

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Similar Polygons 
Lesson 8: Similar Triangles
Lesson 9: Side Length Quotients in Similar Triangles
Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Topic 3: Slope
Lesson 10: Meet SlopeUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day (Print available)Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 11: Writing Equations of LinesUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: SolutionsLesson 11: Pennies and Quarters Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 12: Using Equations of LinesUnit 3Lesson 9: Coin Capture
Topic 4: Let’s Put It to Work
Lesson 13: The Shadow KnowsUnit 2Lesson 8: Shadows

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Graphs of Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Unit 5Lesson 4: Window Frames
Lesson 3: Representing Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window FramesLesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Comparing Proportional RelationshipsUnit 3Lesson 3: Posters
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 4: Stacking CupsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: More Linear RelationshipsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 7: Representations of Linear RelationshipsUnit 3Lesson 5: Flags [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 8: Translating mx + bUnit 3Lesson 3: PostersLesson 6: Translations
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 11: Equations of All Kinds of LinesUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Topic 4: Linear Equations 
Lesson 12: Solutions to Linear EquationsUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: More Solutions to Linear EquationsUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: Solutions
Topic 5: Let’s Put It to Work 
Lesson 14: Using Linear Relations to Solve ProblemsUnit 3 Lesson 11: Pennies and Quarters

Unit 4: Linear Equations and Linear Systems

Topic 1: Puzzle Problems 
Lesson 1: Number PuzzlesUnit 4Lesson 1: Number machines
Topic 2: Linear Equation in One Variable 
Lesson 2: Keeping the Equation BalancedUnit 4Lesson 2: Keep It Balanced
Lesson 3: Balanced MovesUnit 4Lesson 3: Balanced Moves
Lesson 4: More Balanced MovesUnit 4Lesson 4: More Balanced Moves (Print available)
Lesson 5: Solving Any Linear EquationUnit 4Lesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Strategic SolvingUnit 4Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or No Solutions
Lesson 8: How many Solutions?
Unit 4Lesson 7: All, Some, or None?
Lesson 9: When Are They the SameUnit 4Lesson 8: When Are They the Same?
Topic 3: Systems of Linear Equations
Lesson 10: On or Off the Line?Unit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4 Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 14: Solving More Systems 
Lesson 15: Writing Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Problems with Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Introduction to FunctionsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]Lesson 3: Function or Not?
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Even More Graphs of Functions 
Lesson 7: Connecting Representations of FunctionsUnit 5Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: (Print available)Charge!
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 2Lesson 9: Water SlideLesson 10: Points on a PlaneUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 9: Linear ModelsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 10: Piecewise Linear FunctionsUnit 5Lesson 9: Piecing It Together
Topic 4: Cylinder and Cones 
Lesson 11: Filling Containers 
Lesson 12: How Much Will Fit? 
Lesson 13: The Volume of a CylinderUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 14: Missing Dimensions (Print available)
Lesson 15: The Volume of a ConeUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 16: Finding Cone DimensionsUnit 5Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Topic 5: Dimensions and Spheres 
Lesson 17: Scaling One DimensionUnit 5Lesson 12: Scaling Cylinders
Lesson 18: Scaling Two Dimensions 
Lesson 19: Estimating a Hemisphere 
Lesson 20: The Volume of a Sphere
Lesson 21: Cylinders, Cones, and Spheres
Unit 5Lesson 15: SpheresPractice Day 2 (Print available)
Topic 6: Let’s Put It to Work 
Lesson 22: Volume As a Function of …Unit 5Lesson 15: Spheres

Unit 6: Associations in Data

Topic 1: Does This Predict That? 
Lesson 1: Organizing DataUnit 6 Lesson 1: Click Battle
Lesson 2: Plotting DataUnit 6 Lesson 2: Wing Span
Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 4: Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 5: Describing Trends in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City(Print available)Practice Day 1 [Free lesson]
Lesson 6: The Slope of a Fitted LineUnit 6 Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 8: Analyzing Bivariate DataUnit 6Lesson 9: Tasty Fruit
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 11: Federal BudgetsPractice Day 3 (Print available)
Lesson 10: Using Data Displays to Find associationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 9: Tasty Fruit
Topic 4: Let’s Put It to Work
Lesson 11: Gone in 30 SecondsUnit 6Lesson 11: Federal Budgets

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents
Topic 2: Exponent Rules 
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers  
Lesson 5: Negative Exponents with Powers of 10Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: What about Other Bases? 
Lesson 7: Practice with Rational Bases
Lesson 8: Combining Bases 
Topic 3: Scientific Notation 
Lesson 9: Describing Large and Small Numbers using Powers of 10Unit 7 Lesson 7: Scales and Weights
Lesson 10: Representing Large Numbers on the Number Line
Lesson 11: Representing Small Numbers on the Number Line
Unit 7 Lesson 8: Point Zapper
Lesson 12: Applications of Arithmetic with Powers of 10Unit 7  Lesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power
Topic 4: Let’s Put It to Work
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?Lesson 13: Star Power Practice Day 2 (Print available)

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side LengthsUnit 8Lesson 1: Tilted Squares
Lesson 2: Side Lengths and AreasUnit 8Lesson 2: From Squares to RootsLesson 3: Between Squares
Lesson 3: Rational and Irrational Numbers
Lesson 4: Square Roots on the Number Line
Lesson 5: Reasoning about Square RootsUnit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available)
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 7: A Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 8: Finding Unknown Side LengthsUnit 8Lesson 11: Pond Hopper
Lesson 9: The ConverseUnit 8Lesson 9: Make It Right
Lesson 10: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco Truck [Free lesson]
Lesson 11: Finding Distances in the Coordinate PlaneUnit 8Lesson 11: Pond Hopper
Topic 3: Side Lengths and Volumes of Cubes
Lesson 12: Edge Lengths and Volumes
Lesson 13: Cube Roots
Unit 8Lesson 5: Filling Cubes
Topic 4: Decimal Representation of Rational and Irrational Numbers
Lesson 14: Decimal Representation of Rational and Numbers
Lesson 15: Infinite Decimal expansions
Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8Lesson 10: Taco Truck [Free lesson]

Unit 9: Putting It All Together

Topic 1: Tessellations
Lesson 1: Tessellations of the Plane
Lesson 2: Regular Tessellations
Lesson 3: Tessellating Polygons
Topic 2: The Weather
Lesson 4: What Influences Temperature?
Lesson 5: Plotting the Weather
Lesson 6: Using and Interpreting a Mathematical Model

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasAmplify Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasAmplify Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasAmplify Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volumes of ConesUnit 5
Lesson 13: Cones

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple EquationsWorking Backwards
Lesson 1.3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.5: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear FunctionsShelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept FormFive Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 4.5: Analyzing Lines of FitPenguin Populations
Behind the Headlines
City Data
Residual Fruit
Lesson 4.6: Arithmetic SequencesMore Visual Patterns
Sequence Carnival
Lesson 4.7: Piecewise FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.7: Systems of Linear InequalitiesQuilts
Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6: Geometric SequencesMore Visual Patterns
Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by SubstitutionCraft-a-Graph
Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear EquationsOn the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 8.5: Systems of Linear InequalitiesParabola Zapper
Two for One
Shooting Stars
Lesson 8.6: Systems of Linear InequalitiesPlane, Train, and Automobile
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Revisiting Visual Patterns, Part 1
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and VariationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Practice Day 1 (Print available)
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 12: Budget Vehicles (Print available)
Practice Day 2
Lesson 3: Multiply FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 4: Understand Division with FractionsUnit 4
Lesson 1: Cookie Cutter
Lesson 2: Making Connections (Print available)
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Practice Day (Print available)
Lesson 5: Divide Fractions by fractionsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 14: Planter planner (Print available)
Practice Day (Print available)
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 5 Garden Bricks (Print available)
Lesson 6 Fill the Gap [Free lesson]
Lesson 11 Classroom Comparisons
Lesson 7: Solve Problems with Rational NumbersLesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 10: Swap Meet (Print available)

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig it In [Free lesson]
Lesson 4 Sub-Zero
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Practice Day 1
Lesson 3: Absolute Values of Rational NumbersUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 4: Represent Rational Numbers on the Coordinate Plane 
Lesson 5: Find Distances on the Coordinate Plane
Lesson 6: Represent Polygons on the Coordinate Plane
Unit 7
Lesson 11: Polygon Maker

Chapter 3: Numeric and Algebraic Expressions

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It [Free lesson]
Lesson 3: Hanging Around
Lesson 13: Turtles All the Way
Lesson 2: Apply Properties of Equality
Lesson 3: Write and Solve Addition and Subtraction Equations
Lesson 4: Write and Solve Multiplication and Division Equations
Unit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Practice Day 1 (Print Available)
Lesson 5: Write and Solve Equations with Rational NumbersUnit 6
Lesson 4; Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 6: Tunnel Travel [Free lesson]
Lesson 7: Comparing Weights
Lesson 7: Solve InequalitiesUnit 7
Lesson 8: Shira’s Solutions
Lesson 8: Understand Dependent and Independent VariablesUnit 6
Lesson 13: Turtles All the Way
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 16: Subway Fares (Print available) [Free lesson]
Practice Day 2 (Print available)

Chapter 5: Understand and Use Ratio and Rate

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 2: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 13: Grocery Prices (Print available)
Lesson 3: Represent Percents Greater Than 100 or Less than 1 
Lesson 4: Estimate to Find Percent 
Lesson 5: Find the Percent of a Number
Lesson 6: Find the Whole Given a Part and the Percent
Unit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing?
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Practice Day 2 (Print Available)

Chapter 7: Solve Area, Surface Area, and Volume Problems

Chapter 8: Display, Describe, and Summarize data

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Math 6–A1
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Understand Rational NumbersUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 6: Multiply IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 8: Divide IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 10 Solve Problems with Rational NumbersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Chapter 2: Analyze and Use Proportional Relationships

Lesson 1: Connect Ratios, Rates, and Unit Rates 
Lesson 2: Determine Unit Rates with Ratios of Fractions 
Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Three Turtles
Practice Day (Print available)
Unit 3
Lesson 1 Circumference of a Circle
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 6: Apply Proportional Reasoning to Solve ProblemsUnit 2
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency

Chapter 3: Analyze and Solve Percent Problems

Chapter 4: Generate Equivalent Expressions

Chapter 5: Solve Problems Using Equations and Inequalities

Chapter 6: Use Sampling to Draw Inferences About Populations

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1 How Likely? (Print available) [Free lesson]
Lesson 2 Prob-bear-bilities [Free lesson]
Lesson 3 Mystery Bag
Lesson 2: Understand Theoretical Probability
Lesson 3: Understand Experimental Probability
Unit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 4: Use Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 7: Weather or Not
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 5: Determine Outcomes of Compound EventsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Find Probabilities of Compound Events
Lesson 7: Simulate Compound Events
Unit 8
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Practice Day 1 (Print Available)

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines [Free lesson] Lesson 2: Scaling Robots Lesson 3: Make It Scale Lesson 4: Scale Factor Challenges Lesson 5: Tiles Lesson 6: Introducing Scale Lesson 7: Will It Fit? [Free lesson] Lesson 8: Scaling States Lesson 9: Scaling Buildings Lesson 10: Room Redesign Practice Day 1 Practice Day 2   Unit 3 Lesson 1: Toothpicks   Unit 4 Lesson 3: Sticker Sizes
Lesson 2: Draw Geometric FiguresUnit 7
Lesson 6: Is It Enough?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It?
Practice Day 1
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures [Free lesson]
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around [Free lesson]
Lesson 4: Perimeter Challenges
Practice Day 1 (Print available) [Free lesson]
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Practice Day 2
Lesson 7: Describe Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8: Solve Problems Involving Surface AreaUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies
Lesson 13: Popcorn Possibilities
Lesson 9: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Rational Numbers as DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: Understand Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 3: Compare and Order Real Numbers 
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Solve Equations Using Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Practice Day 1 (Print available)
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Practice Day 1 (Print available)
Lesson 7: More Properties of Integer ExponentsUnit 7  
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 8: Use Powers of 10 to Estimate QuotientsUnit 7  
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scales [Free lesson]
Lesson 13: Star Power
Practice Day 2 (Print available)

Chapter 2: Analyze and Solve Linear Equations

Lesson 1: Combine Like Terms to Solve EquationsUnit 4
Lesson 2: Keep It Balanced
Lesson 2: Solve Equations with Variables on Both SidesUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 4: Equations with No Solutions or Infinitely Many SolutionsUnit 4
Lesson 7: All, Some, or None?
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 6: Connect proportional Relationships and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Plane
Practice Day 
 
Unit 3
Lesson 2: Water Tank
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Lesson 7: Analyze Linear Equations: y = mxUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Analyze Linear Equations: y = mx + bUnit 3  
Lesson 6: Translations
Lesson 7: Water Cooler
Practice Day 

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Compare Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 4: Construct Functions to Model Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 6: Graphing Stories
Lesson 6: Sketch Functions from Verbal DescriptionsUnit 5  
Lesson 6: Graphing Stories

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 7: Scatter Plot City
Lesson 3: Use Linear Models to Make PredictionsUnit 6  
Lesson 6: Interpreting Slopes
Lesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 4: Interpret Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets
Practice Day 3

Chapter 5: Analyze and Solve Systems of Linear Equations

Chapter 6: Congruence and Similarity

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 2: Understand the Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Lesson 4: Find Distance in the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 1: Find Surface Area of Three-Dimensional Figures 
Lesson 2: Find Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 4: Find Volume of SpheresUnit 5
Lesson 15: Spheres
Practice Day 2 (Print available)

Grade 6

Unit 1: Numbers

GO Math!Amplify Classroom
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Unit 2: Number Operations

Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 6.2: Rates Unit 3
Lesson 6: Soft Serve
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Unit 3
Lesson 6: Soft Serve
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 9: Lucky Duckies

Unit 4: Equivalent Expressions

Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Unit 5: Equations and Inequalities

Module 11:  Equations and Relationships
Lesson 11.1:  Writing Equations to Represent Situations
Lesson 11.2:  Addition and Subtraction Equations
Lesson 11.3:  Multiplication and Division Equations
Unit 6
Lesson 1:  Weight For It
Lesson 11.4: Writing InequalitiesUnit 7
Lesson 7:  Tunnel Travels
Module 12:  Relationships in Two Variables
Lesson 12.2:  Independent and Dependent Variables in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.3:  Writing Equations from Tables.Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.4:  Representing Algebraic Relationships in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Relationships in Geometry

GO Math!Amplify Classroom
Module 13: Area and Polygons
Lesson 13.1: Area of QuadrilateralsUnit 1
Lesson 1: Shapes on a Plane
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 13.2: Area of TrianglesUnit 1
Lesson 1: Shapes on a Plane
Lesson 13.4: Area of PolygonsUnit 1
Lesson 1: Shapes on a Plane
Module 14:  Distance and Area in the Coordinate Plane
Lesson 14.1: Distance in the Coordinate Plane
Lesson 14.2: Polygons in the Coordinate Plane
Unit 1
Lesson 1: Shapes on a Plane

Unit 7: Measurement and Data

Module 16: Displaying, Analyzing, and
Summarizing Data
Lesson 16.1: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 16.4: Dot Plots and Data DistributionUnit 8
Lesson 3: Minimum Wage
Lesson 16.5: HistogramsUnit 8
Lesson 5: The Plot Thickens

Grade 7

Unit 1: The Number System

GO Math!Amplify Classroom
Module 1:  Adding and Subtracting Integers
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 10: Integer Puzzles
Lesson 2.2: Dividing IntegersUnit 5
Lesson 10: Integer Puzzles
Module 3:  Rational Numbers
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 6: Two and Two
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Lesson 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics
Lesson 5: Percent Machines
Lesson 5.3: Applications of PercentUnit 4
Lesson 12: Posing Percent Problems(coming soon!)

Unit 3: Expressions, Equations, and Inequalities

Module 6: Expressions and Equations
Lesson 6.3: Writing Two-Step EquationsUnit 6
Lesson 10: Collect the Squares
Module 6: Expressions and Equations
Lesson 7.2: Writing Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 7.3: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Unit 7
Lesson 5: Can You Build It?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 7: Will It Fit?
Lesson 8.4: Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 9.2: Area of CirclesUnit 3
Lesson 8: Area Challenges
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 8: Area Challenges

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Module 11: Analyzing and Comparing Data
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Probability

Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Amplify Classroom
Module 1: Real Numbers
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 2: Proportional and Nonproportional Relationships and Functions

Module 3: Proportional Relationships
Lesson 3.1: Representing Proportional Relationships.Unit 3
Lesson 1: Turtle Time Trials
Lesson 3.2: Rate of Change and SlopeUnit 3
Lesson 4: Flags
Lesson 5: The Tortoise and the Hare
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Flags
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 4: Flags
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Flags
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 4: Flags
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 5: The Tortoise and the Hare
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing
Lesson 5: The Tortoise and the Hare

Unit 3: Solving Equations and Systems of Equations

Module 7:  Solving Linear Equations
Lesson 7.1: Equations with the Variable on Both SidesUnit 4
Lesson 5: Equation Roundtable
Lesson 7.2: Equations with Rational Numbers
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 5: Equation Roundtable
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Transformational Geometry

Module 9:  Transformations and Congruence
Lesson 9.1: Properties of Translations
Lesson 9.2: Properties of Reflections
Lesson 9.3:  Properties of Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Module 10: Transformations and Similarity
Lesson 10.1: Properties of DilationsUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Social Scavenger Hunt
Lesson 10.3: Similar FiguresUnit 2
Lesson 1: Sketchy Dilations
Lesson 6: Social Scavenger Hunt

Unit 5: Measurement Geometry

Module 11: Angle Relationships in Parallel Lines and Triangles
Lesson 11.1: Parallel Lines Cut by a Transversal.Unit 1
Lesson 12: Puzzling It Out
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 13.2: Volume of ConesUnit 5
Lesson 13: Cones

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 3: Robots
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 15: Two-Way Tables
Lesson 15.2: Two-Way Relative Frequency TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Chapter 1: Numerical Expressions and Factors

Big IdeasDesmos Math 6–A1
Lesson 1: Powers and ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Practice Day 2 (Print available)
Lesson 2: Order of OperationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 3: Prime Factorization
Lesson 4: Greatest Common FactorUnit 5
Lesson 15: Common factors
Lesson 5: Least Common MultipleUnit 5
Lesson 14: Common Multiples
Practice Day 2 (Print available)

Chapter 2: Fractions and Decimals

Lesson 1: Multiplying FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 2: Dividing FractionsUnit 4
Lesson 1: Cookie Cutter
Lesson 2: Making Connections (Print available)
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Practice Day (Print available)
Lesson 3: Dividing Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 14: Planter Planner (Print available)
Practice Day
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams 
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12: Budget Vehicles (Print available)
Lesson 7: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12:(Print available) Budget Vehicles 
Practice Day 1 (Print available)
Practice Day 2 (Print available)

Chapter 3: Ratios and Rates

Chapter 4: Percents

Chapter 5: Algebraic Expressions and Properties

Chapter 6: Equations

Chapter 7: Area, Surface Area, and Volume

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Chapter 9: Statistical Measures

Chapter 10: Data Displays

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 2: Dividing IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 3: Converting Between Fractions and DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 4: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 5: Dividing Rational NumbersUnit 5
Lesson 8: Speeding Turtles

Chapter 3: Expressions

Chapter 4: Equations and Inequalities

Chapter 5: Ratios and Proportions

Chapter 6: Percents

Chapter 7: Probability

Chapter 8: Statistics

Chapter 9: Geometric Shapes and Angles

Chapter 10: Surface Area and Volume

Lesson 1: Surface Area of Prisms
Lesson 2: Surface Area of Cylinders
Lesson 3: Surface Area of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 4: Volumes of Prisms
Lesson 5: Volumes of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2 (Print available)
Lesson 6: Cross Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids

Grade 8

Chapter 1: Equations

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Chapter 4: Graphing and Writing Linear Equations

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 8: When Are They the Same?
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Practice Day 2 (Print available)
Lesson 2: Solving Systems of Linear Equations by Substitution
Lesson 3: Solving Systems of Linear Equations by Elimination 
Lesson 4: Solving Special Systems of Linear Equations 
Lesson 6: Scale Drawings

Chapter 6: Data Analysis and Displays

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Linear FunctionsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 4: Comparing Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 5: Analyzing and Sketching GraphsUnit 5  
Lesson 6: Graphing Stories

Chapter 8: Exponents and Scientific Notation

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 2: The Pythagorean Theorem
Lesson 3: Finding Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 4: Rational Numbers 
Lesson 5: Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 6: The Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right

Chapter 10: Volume and Similar Solids

Grade 6

Module 1: Ratios and Rates

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3Lesson 8: Lucky Duckies [Free lesson]Lesson 9: Bicycle Goals
Lesson 2: Percents Greater Than 100% and Less Than 1% 
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5Lesson 2: Decimal Diagrams [Free lesson]Lesson 13: Grocery Prices (Print available)
Lesson 4: Find the Percent of a NumberUnit 3Lesson 10: What’s Missing? (Print available)Lesson 11: Cost Breakdown
Lesson 5: Estimate the Percent of a Number 
Lesson 6: Find the WholeUnit 3Lesson 10: What’s Missing? (Print available)

Module 3: Compute with Multi-Digit Numbers and Fractions

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7Lesson 1: Can You Dig It [Free lesson]Lesson 4: Sub-Zero
Lesson 2: Opposites and Absolute ValueUnit 7Lesson 5: Distance on the Number Line
Lesson 3: Compare and Order IntegersUnit 7Lesson 2: Digging DeeperLesson 3: Order in the Class (Print available) [Free lesson]
Lesson 4: Rational NumbersUnit 7Lesson 2: Digging Deeper
Lesson 5: The Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 6: Graph Reflections of Points
Lesson 7: Absolute Value and DistanceUnit 7Lesson 5: Distance on the Number Line

Module 5: Numerical and Algebraic Expressions

Module 6: Relationships in Geometry

Module 7: Relationships Between Two Variables

Module 8: Area

Module 9: Volume and Surface Area

Module 10: Statistical Measures and Displays

Grade 7

Module 1: Proportional Relationships

Module 2: Solve Percent Problems

Module 3: Operations with Integers

Module 4: Operations with Rational Numbers

Module 5: Simplify Algebraic Expressions

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6Lesson 3: EquationsLesson 4: Seeing Structure (Print available)Lesson 14: Unbalanced HangersLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 2: Solve Two-Step Equations: px + q = r
Lesson 3: Write and Solve Two-Step Equations: px + q = r
Lesson 4: Solve Two-Step Equations: p(x + q) = r
Lesson 5: Write and Solve Two-Step Equations: p(x + q) = r
Unit 6Lesson 4: Seeing Structure (Print available)Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)

Module 7: Write and Solve Inequalities

Lesson 1: Solve One-Step Addition and Subtraction Inequalities
Lesson 2: Write and Solve One-Step Addition and Subtraction Inequalities
Lesson 3: Solve One-Step Multiplication and Division Inequalities
Lesson 4: Solve One-Step Multiplication and Division Inequalities with Negative Coefficients
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the SheepLesson 17: Write Them and Solve Them (Print available)
Lesson 5: Write and Solve One-Step Multiplication and Division InequalitiesUnit 6Lesson 15: Budgeting (Print available)
Lesson 6: Write and Solve Two-Step InequalitiesUnit 6Lesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)

Module 8: Geometric Figures

Module 9: Measure Figures

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 4: Compare Probabilities of Simple EventsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?
Lesson 5: Probability of Compound EventsUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It
Lesson 6: Simulate Chance EventsUnit 8Lesson 8: Simulate ItPractice Day 1 (Print available)

Module 11: Sampling and Statistics

Grade 8

Module 1: Exponents and Scientific Notation

Module 2: Real Numbers

Lesson 1: Terminating and Repeating DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 3: Real NumbersUnit 8
Lesson 14: Hit the Target
Lesson 4: Estimate Irrational NumbersUnit 8
Lesson 3: Between Squares
Lesson 5: Compare and Order Real NumbersUnit 8
Lesson 14: Hit the Target

Module 3: Solve Equations with Variables on Each Side

Module 4: Linear Relationships and Slope

Module 5: Functions

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper
Lesson 13: All, Some, or None? Part 2
(Print available)Practice Day 2 
Lesson 2: Determine Number of SolutionsUnit 4 
Lesson 13: All, Some, or None? Part 2
Lesson 3: Solve Systems of Equations by Substitution
Lesson 4: Solve Systems of Equations by Elimination
Lesson 5: Write and Solve Systems of EquationsUnit 4 
Lesson 14: Strategic Solving, Part 2 (Print available)

Module 7: Triangles and the Pythagorean Theorem

Lesson 1: Angle Relationships and Parallel LinesUnit 1 Lesson 10: Transforming Angles
Lesson 2: Angle Relationships and TrianglesUnit 1 Lesson 10: Transforming Angles Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Lesson 3: The Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove It
Lesson 4: Converse of the Pythagorean TheoremUnit 8Lesson 9: Make It Right
Lesson 5: Distance on the Coordinate PlaneUnit 8Lesson 11: Pond HopperPractice day 2 (Print available)

Module 8: Transformations

Module 9: Congruence and Similarity

Lesson 1: Congruence and Transformations
Lesson 2: Congruence and Corresponding Parts
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?
Lesson 3: Similarity and TransformationsUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 4: Similarity and Corresponding PartsUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 5: Indirect MeasurementUnit 2Lesson 8: Shadows

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 2: Volume of ConesUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 3: Volume of SpheresUnit 5Lesson 15: Spheres
Lesson 4: Finding Missing DimensionsUnit 5Lesson 14: Missing Dimensions (Print available)
Lesson 5: Volume of Composite SolidsUnit 5Lesson 15: Spheres

Module 11: Scatter Plots and Two-Way Tables

Reveal Math

To view this protected page, enter the password below:



Grade 6

Unit 1: Area and Surface Area

Amplify MathDesmos Math 6–A1
Unit 1: Area and Surface AreaUnit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: The TangramUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Exploring the TangramUnit 1
Lesson 2: Letters
Sub-Unit 1 : Area of Special Polygons
Lesson 3: Tilting the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Compositing and Rearranging to Determine AreaUnit 1
Lesson 2: Letters
Lesson 5: Reasoning to Determine AreaUnit 1
Lesson 2: Letters
Lesson 6: ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 7: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 8: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 9: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 10: Bases and Heights of TrianglesUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 11: Formula for the Area of a TriangleUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 12: From Triangles to TrapezoidsUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 13: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons Practice Day 1 (Print available)

Unit 7
Lesson 11: Polygon Maker
Sub-Unit 2: Nets and Surface Area
Lesson 14: What is Surface Area?Unit 1
Lesson 9: Renata’s Stickers
Lesson 15: Nets and Surface Area of Rectangular PrismsUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11:Nothing but Nets(Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 16: Nets and Surface Area of PrismsUnit 1
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 17: Constructing a RhombicuboctahedronUnit 1
Lesson 13: Take It To Go (Print available)
Lesson 18: Simplifying Expressions for Squares and CubesUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 19: Simplifying Expressions Even More Using ExponentsUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 20: Designing a Suspended Tent 

Unit 2: Introducing Ratios

Amplify MathDesmos Math 6–A1
Unit 2: Introducing RatiosUnit 2: Introducing Ratios
Lesson 1: Fermi Problems 
Sub-Unit 1: What are Ratios?
Lesson 2: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3:Rice Ratios (Print available)
Lesson 4: A Recipe for Purple Oobleck 
Lesson 5: Kapa Dyes 
Sub-Unit 2:Equivalent Ratios
Lesson 6: Defining Equivalent RatiosUnit 2
Lesson 3: Rice Ratios (Print available)
Lesson 4: Fruit Lab (Print available)
Lesson 11: Community Life (Print available)
Practice Day 1 (Print available)
Lesson 7: Representing Equivalent Ratios with Tables 
Lesson 8: Reasoning with Multiplication and Division (optional) 
Lesson 9: Common Factors 
Lesson 10: Common Multiples 
Lesson 11: Navigating a Table of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 12: Tables and Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 13: Tempo and Double Number LinesUnit 2
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Sub-Unit 3: Solving Ratio Problems 
Lesson 14: Solving Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 15: Part-Part-Whole RatiosUnit 2
Lesson 12 Mixing Paint, Part 2
Lesson 13: City Planning
Lesson 16: Comparing Ratios 
Lesson 17: More Comparing and Solving 
Lesson 18: Measuring with Different-Sized Units 
Lesson 20: More Fermi Problems 

Unit 3: Rates and Percentages

Amplify MathDesmos Math 6–A1
Unit 3: Rates and PercentagesUnit 2: Introducing Ratios
Unit 3: Unit Rates and percentages
Lesson 1: Choosing Representation for Student CouncilLaunch Lesson
Sub-Unit 1: Rates
Lesson 2: How Much for One?Unit 3
Lesson 4: Model Trains
Lesson 3: Constant Speed  
Lesson 4: Comparing SpeedsUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 5: Interpreting RatesUnit 3
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 6: Comparing Rates 
Lesson 7: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Sub-Unit 2: Percentages
Lesson 8: What Are percentages?Unit 3
Lesson 8: Lucky Duckies
Lesson 9: Bicycle Goals
Lesson 9: Determining Percentages 
Lesson 10: Benchmark PercentagesUnit 3
Lesson 7: Lucky Duckies
Lesson 11: Finding This Percent of ThatUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 12: This Percent of What 
Lesson 13: Solving Percentage ProblemsUnit 3
Lesson: 10: What’s Missing (Print available)
Lesson: 11: Cost Breakdown
Lesson: 12: More Bicycle Goals
Lesson: 13: A Country as a Village
Lesson 14: If Our Class Were the World 
Lesson 15: Voting for a School Mascot 

Unit 4: Dividing Fractions

Amplify MathDesmos Math 6–A1
Lesson 1: Seeing Fractions
Sub-Unit 1: Interpreting Division Scenarios
Lesson 3: Relating Multiplication and Division 
Lesson 4: Size of Divisor and Size of QuotientUnit 4
Lesson 1: Cookie Cutter
Sub-Unit 2: Division with Fractions
Lesson 5: How Many GroupsUnit 4
Lesson 3: Flour Planner
Lesson 4: Flower Planters
Lesson 4: Garden Bricks (Print available) 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap
Lesson 7: Dividing with Common DenominatorsUnit 4
Lesson 6: Fill the Gap
Lesson 8: How Much in Each Group? (Part 1)Unit 4
Lesson 8: Potting Soil
Lesson 9: How Much in Each Group? (Part 2)Unit 4
Lesson 8: Potting Soil
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 11: Using an Algorithm to Divide FractionsUnit 4
Lesson 9: Division Challenges Practice Day
Lesson 13: Fractional LengthsUnit 4
Lesson 12: Puzzling 
Lesson 14: Area with Fractional LengthsUnit 4
Lesson 9: Puzzling Area (Print available)
Lesson 15: Volume of PrismsUnit 4
Lesson 13: Volume Challenges (Print available)
Lesson 16: Fish Tanks Inside of Fish TanksUnit 4
Lesson 10: Swap Meet
Lesson 17: Now, Where Was That Bus?Unit 4
Lesson 10: Capstone

Unit 5: Arithmetic in Base Ten

Amplify MathDesmos Math 6–A1
Lesson 1: Precision and World Records 
Sub-Unit 1: Adding and Subtracting Decimals 
Lesson 2: Speaking of Decimals…Unit 5
Lesson 1: Dishing Out Decimals (Print available)
Lesson 3: Adding and Subtracting DecimalsUnit 5
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 4: X Games Medal ResultsUnit 5
Lesson 2: Decimal Diagrams
Sub-Unit 2: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5
Lesson 6: Multiplying with Areas
Sub-Unit 3: Dividing Decimals
Lesson 9: Exploring Division 
Lesson 10: Using Long DivisionUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 12: Using Related Expressions to Divide with Decimals 
Lesson 13: Dividing Multi-Digit DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 14: The So-called World’s Littlest Skyscraper

Unit 6: Expressions and Equations

Amplify MathDesmos Math 6–A1
Unit 6: Expressions and EquationsUnit 6: Expressions and Equations
Lesson 1: Detecting Counterfeit Coins
Sub-Unit 1: Expressions and Equations in One Variable
Lesson 2: Write Expressions Where Letters Stand for Numbers 
Lesson 3: Tape Diagrams and Equations 
Lesson 4: Truth and EquationsUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 5: Staying in BalanceUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Staying in Balance with Variables 
Lesson 7: Practice Solving EquationsUnit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 8: A New Way to Interpret a over bUnit 6
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 9: Revisiting Percentages
Sub-Unit 2: Equivalent Expressions
Lesson 10: Equal and Equivalent (Part 1)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 11: Equal and Equivalent (Part 2)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 12: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 13: The Distributive Property, Part 2Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 14: Meaning of ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 15: Evaluating Expressions with ExponentsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 16: Analyzing Exponential Expressions and EquationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Sub-Unit 3: Relationships Between Quantities
Lesson 17: Two Related Quantities, Part 1Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 18: Two Related Quantitites, Part 2Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 19: Creating a Class Mobile 

Unit 7: Rational Numbers

Amplify MathDesmos Math 6–A1
Unit 7: Rational Numbers
Unit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: How Far? Which Way?
Sub-unit 1: Negative Numbers and Absolute Value
Lesson 2: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig In
Lesson 2: Digging Deeper
Lesson 3: Points on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 4: Comparing IntegersUnit 7
Lesson 3: Order in the Class (Print available)
Lesson 5: Comparing and Ordering Rational NumbersUnit 7 
Lesson 3: Order in the Class (Print available)
Lesson 6: Using Negative Numbers to Make Sense of Contexts>Unit 7
Lesson 4: Sub-Zero
Lesson 7: Absolute Value of NumbersUnit 7
Lesson 5: Distance on the Number Line
Lesson 8: Comparing Numbers and Distance from ZeroUnit 7
Lesson 5: Distance on the Number Line
Sub-Unit 2: Inequalities
Lesson 9: Writing Inequalities 
Lesson 10: Graphing Inequalities 
Lesson 11: Solutions to One or More InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Lesson 12: Interpreting InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Sub-Unit 3: The Coordinate Plane
Lesson 13: Extending the Coordinate Plane 
Lesson 14: Points on the Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 15: Interpreting Points on a Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Lesson 16: Distances on a Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 17: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Letters
Lesson 5: Exploring Triangles (Print available)
Lesson 6: Triangles and Parallelograms

Unit 7
Lesson 3: Exploring Parallelograms (Print available)
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 18: Lost and Found Puzzles 
Lesson 19: Drawing on the Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Amplify MathDesmos Math 6–A1
Unit 8: Data Sets and DistributionsUnit 8: Describing Data
Lesson 1: Plausible Variation or New Species?
Sub-Unit 1: Statistical Questions and Representing Data
Lesson 2: Statistical QuestionsUnit 8
Lesson 1: Screen Time
Lesson 2: Dot Plots
Lesson 3: Interpreting Dot PlotsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 4: USing Dot Plots to Answer Statistical QuestionsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 5: Interpreting HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 6: Using Histograms to Answer Statistical QuestionsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 7: Describing Distributions on HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Sub-Unit 2: Measures of Center
Lesson 8: Mean as a Fair ShareUnit 8
Lesson 7: Snack Time
Lesson 9: Mean as a Balance PointUnit 8
Lesson 7: Snack Time
Lesson 10: MedianUnit 8
Lesson 11: Toy Cars
Lesson 12: In the News
Lesson 11: Comparing Mean and MedianUnit 8
Lesson 12: In the News
Sub-Unit 3: Measures of Variability
Lesson 12: Describing Variability 
Lesson 13: Variability and MAD 
Lesson 14: Variability and IQRUnit 8
Lesson 13: Pumpkin Patch
Lesson 15: Box PlotsUnit 8
Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Comparing MAD and IQR 
Lesson 17: Asian Elephant Populations 

Grade 7

Unit 1: Scale Drawings

Amplify MathDesmos Math 6–A1
Unit 1: Scale DrawingsUnit 1: Scale Drawings
Unit 3: Measuring Circles
Unit 4: Proportional Relationships and Percentages
Lesson 1: Scale-y Shapes 
Sub-Unit 1: Scaled Copies 
Lesson 2: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Lesson 3: Corresponding Parts and Scale FactorsUnit 1
Lesson 2: Scaling Robots 
Unit 3
Lesson 1: Toothpicks
Lesson 4: Making Scaled CopiesUnit 1
Lesson 3: Make It Scale 
Unit 4
Lesson 3: Sticker Sizes
Lesson 5: The Size of the Scale FactorUnit 1
Lesson 4: Tiles
Lesson 6: Scaling and AreaUnit 1
Lesson 5: Tiles Practice Day 1 (Print available)
Sub-Unit 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available)
Lesson 8: Creating Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 9: Scale Drawings and Maps 
Lesson 10: Changing Scale in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)Practice Day (Print available)
Lesson 13: Build Your Brand 

Unit 2: Introducing Proportional Relationships

Amplify MathDesmos Math 6–A1
Unit 2: Introducing Proportional RelationshipsUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Lesson 1: Making Music 
Sub-Unit 1: Representing Proportional Relationships with Tables and Equations
Lesson 2: Introducing Proportional Relationships with TablesUnit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)

Unit 4
Lesson 3: Sticker Sizes
Lesson 4: Comparing Relationships with TablesUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 5: Proportional Relationships and EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 6: Speed and Equations 
Lesson 7: Two Equations for Each RelationshipUnit 2
Lesson 4: Two and Two (Print available)
Lesson 5: Lesson 7: All Kinds of Equations
Lesson 8: Using Equations to Solve ProblemsUnit 2
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 9: Comparing Relationships with EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Lesson 10: Solving Problems About Proportional RelationshipsUnit 2
Lesson 12: Water Efficiency
Sub-Unit 2: Representing Proportional Relationships with Graphs 
Lesson 11: Introducing Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 12: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 13: Using Graphs to Compare RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 14: Two Graphs for Each RelationshipUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 15: Four Ways to Tell One Story (Part 1) 
Lesson 16: Four Ways to Tell One Story (Part 2) 
Lesson 17: Welcoming Committee 

Unit 3: Measuring Circles

Amplify MathDesmos Math 6–A1
Unit 3: Measuring CirclesUnit 3: Measuring Circles
Lesson 1: The Wandering Goat 
Sub-unit 1: Circumference of a Circle 
Lesson 2: Exploring CirclesUnit 3
Lesson 2: Is it a Circle?
Lesson 3: Measuring Around
Lesson 3: How Well Can You Measure? 
Lesson 4: Exploring CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 5: Understanding π 
Lesson 6: Applying CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 7: Circumference and Wheels 
Sub-Unit 2: Area of a Circle
Lesson 8: Exploring the Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 9: Relating Area to CircumferenceUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 10: Applying Area to CirclesUnit 3
Lesson 6:Radius Squares (Print available)
Lesson 11: Distinguishing Circumference and AreaUnit 3
Lesson 7: Why Pi?
Lesson 12: Capturing Space 

Unit 4: Proportional Relationships and Percentages

Amplify MathDesmos Math 6–A1
Unit 4: PercentagesUnit 4: Proportional Relationships and Percentages
Lesson 1: (Re)Presenting the United States 
Lesson 2: Understanding Percentages and Decimals 
Lesson 3: Percent Increase and DecreaseUnit 4Lesson 4: More or Less
Lesson 4: Determining 100%Unit 4Lesson 6: 100% (Print available)
Lesson 5: Determining Percent ChangeUnit 4Lesson 7: Percent Machines
Lesson 6: Percent Increase and Decrease With EquationsUnit 4Lesson 5: All the Equations
Lesson 7: Using Equations to Solve Percent ProblemsUnit 4Lesson 5: All the Equations
Sub-Unit 2: Applying Percentages 
Lesson 8: Tax and TipUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 9: Percent ContextsUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 10: Determining the PercentageUnit 4
Lesson 4: More and Less
Lesson 11: Measurement ErrorUnit 4
Lesson 11: Bookcase Builder
Lesson 12: Error IntervalsUnit 4
Lesson 11: Bookcase Builder
Lesson 13: Writing Better Headlines 

Unit 5: Rational Number Arithmetic

Amplify MathDesmos Math 6–A1
Unit 5: Rational Number ArithmeticUnit 5: Rational Number Artithmetics
Lesson 1: Target: Zero 
Sub-Unit 1: Adding and Subtracting Rational Numbers 
Lesson 2: Interpreting Negative Numbers
Lesson 3: Changing TemperaturesUnit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 4: Adding Rational Numbers 
Lesson 5: Money and Debts 
Lesson 6: Representing SubtractionUnit 5
Lesson 5: Number Puzzles
Lesson 7: Subtracting Rational Numbers (Part 1)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 8: Subtracting Rational Numbers (Part 2)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 9: Adding and Subtracting Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Sub-Unit 2: Multiplying and Dividing Rational Numbers 
Lesson 10: Position, Speed, and TimeUnit 5
Lesson 7: Back in Time
Lesson 11: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 12: Multiply!Unit 5
Lesson 7: Back in Time
Lesson 13: Dividing Rational NumbersUnit 5
Lesson 7: Speeding Turtles
Lesson 14: Negative Rates 
Sub-Unit 3: Four Operations with Rational Numbers 
Lesson 15: Expressions with Rational NumbersUnit 5
Lesson 9: Expressions (Print available)
Lesson 16: Say It With Decimals 
Lesson 17: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Lesson 18: Solving Equations With Rational Numbers 
Lesson 19: Representing Contexts With Equations 
Lesson 20: Summiting Everest 

Unit 6: Expressions, Equations, and Inequalities

Amplify MathDesmos Math 6–A1
Unit 6: Expressions, Equations, and InequalitiesUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Unit 6: Expressions, Equations, and Inequalities
Lesson 1: Keeping the Balance 
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 3: Reasoning About Solving Equations (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 4: Reasoning About Solving Equations (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 8: Factoring and Expanding (Print available)
Lesson 16: Shira the Sheep
Lesson 6: Two Ways to Solve One EquationUnit 6
Lesson 4: Seeing Struction (Print available)
Lesson 7: Practice Solving EquationsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Sub-Unit 2: Solving Real-World Problems Using Two-Step Equations 
Lesson 8: Reasoning With Tape DiagramsUnit 6
Lesson 2: Smudged Receipts
Lesson 9: Reasoning About Equations and Tape Diagrams (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 10: Reasoning About Equations and Tape Diagrams (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 11: Using Equations to Solve ProblemsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available) 
Lesson 12: Solving Percent Problems in New WaysUnit 6
Lesson 4: Seeing Structure (Print available)

Unit 4
Lesson 7: Percent MachinesPractice Day 1 (Print available)
Practice Day 2 (Print available)
Sub-Unit 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 14: Solving InequalitiesUnit 6
Lesson 5: Balancing Moves
Lesson 6: Balancing Equations
Lesson 13: I Saw the Signs
Lesson 15: Finding Solutions to Inequalities in ContextUnit 6
Lesson 13: I Saw the Signs
Practice Day 1 (Print available)
Lesson 16: Efficiently Solving InequalitiesUnit 6
Lesson 10: Collect the Squares
Lesson 17: Interpreting InequalitiesUnit 6
Lesson 13: I Saw the Signs
Lesson 14: Unbalanced Hangers
Lesson 15: Budgeting (Print available)
Lesson 18: Modeling With Inequalities 
Sub-Unit 4: Equivalent Expressions 
Lesson 19: Subtraction in Equivalent Expressions 

Unit 7: Angles, Triangles, and Prisms

Amplify MathDesmos Math 6–A1
Unit 7: Angles, Triangles, and PrismsUnit 7: Angles, Triangles, and Prisms
Lesson 1: Shaping Up 
Sub-Unit 1: Angle Relationships 
Lesson 2: Relationships of AnglesUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 3: Supplementary and Complementary Angles (Part 1) 
Lesson 4: Supplementary and Complementary Angles (Part 2) 
Lesson 5: Vertical AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 6: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 7: Like Clockwork 
Sub-Unit 2: Drawing Polygons with Given Conditions 
Lesson 8: Building Polygons (Part 1)Unit 7
Lesson 6: Is It Enough?
Lesson 9: Building Polygons (Part 2)Unit 7
Lesson 6: Is It Enough?
Lesson 10: Triangles with Three Common MeasuresUnit 7
Lesson 13: Popcorn Possibilities
Lesson 11: Drawing Triangles (Part 1)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Lesson 12: Drawing Triangles (Part 2)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Sub-Unit 3: Solid Geometry
Lesson 13: Slicing SolidsUnit 7
Lesson 9: Slicing Solids
Lesson 14: Volume of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 15: Decomposing Bases for AreasUnit 7
Lesson 11: More Complicated Prisms
Lesson 16: Surface Area of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 17: Distinguishing Volume and Surface Area
Lesson 18: Applying Volume and Surface AreaUnit 7
Lesson 13: Popcorn Possibilities

Unit 8: Probability and Sampling

Amplify MathDesmos Math 6–A1
Unit 8: Probability and SamplingUnit 8: Probability and Sampling
Lesson 1: The Invention of Fairness 
Lesson 2: Chance Experiments 
Lesson 3: What are Probabilities?Unit 8
Lesson 1: How Likely? (Print available)
Lesson 2: Prob-bear-bilities [Free lesson
Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 5: Code Breaking (Part 1)
Lesson 6: Code Breaking (Part 2)
Sub-Unit 2: Probabilities of Multi-Step Events
Lesson 7: Keeping Track of All Possible OutcomesUnit 8
Lesson 4: Spin Class
Lesson 5: Is it Fair?
Lesson 6: Fair Games
Lesson 8: Experiments With Multi-Step Events  
Lesson 9: Simulating Multi-Step Events 
Lesson 10: Designing Simulations 
Sub-Unit 3:Sampling
Lesson 11: Comparing Two PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Larger PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 13: What Makes a Good Sample?Unit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 14: Sampling in a Fair WayUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 15: Estimating Population Measures of CenterUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 16: Estimating Population ProportionsUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 17: Presentation of Findings 

Grade 8

Unit 1: Rigid Transformations and Congruence

Amplify MathDesmos Math 6–A1
Unit 1: Rigid Transformations and CongruenceUnit 1: Rigid Transformations and Congruence
Unit 3: Proportional and Linear Relationships
Lesson 1: Tessellations 
Sub-Unit 1: Rigid Transformations 
Lesson 2: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 3: Symmetry and Reflection 
Lesson 4: Grid MovesUnit 1
Lesson 3: Transformation Golf
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated

Unit 3
Lesson 6: Translations
Lesson 5: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Coordinate Moves (Part 1)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 7: Coordinate Moves (Part 2)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1
Lesson 5: Getting Coordinated
Lesson 6: Connecting the Dots
Sub-Unit 2: Rigid Transformations and Congruence 
Lesson 9: No Bending or StretchingUnit 1
Lesson 7: No Bending, No Stretching
Lesson 10: What is the Same?Unit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Lesson 11: Congruent PolygonsUnit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Sub-Unit 4: Angles in a Triangle 
Lesson 13: Line Moves 
Lesson 14: Rotation Patterns 
Lesson 15: Alternate Interior AnglesUnit 1 
Lesson 11: Tearing It Up (Print available)
Lesson 16: Adding the Angles in a TriangleUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 17: Parallel Lines and the Angles in a TriangleUnit 1 
Lesson 10: Transforming Angles
Lesson 18: Creating a Border Pattern Using Transformations 

Unit 2: Dilations, Similarity, and Introducing Slope

Amplify MathDesmos Math 6–A1
Unit 2: Dilations and SimilarityUnit 2: Dilations and Similarity
Lesson 1: Projecting and Scaling 
Sub-Unit 1: Dilations
Lesson 2: Circular GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 3: Dilations on a Plane 
Lesson 4: Dilations on a Square GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 5: Dilations with CoordinatesUnit 2
Lesson 4: Dilations on a Plane
Sub-Unit 2: Similiarity
Lesson 6: SimilarityUnit 2
Lesson 5: Transformations Golf with Dilations
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 7: Similar PolygonsUnit 2
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 8: Similar TrianglesUnit 2
Lesson 7: Are Angles Enough?
Lesson 8: Shadows
Lesson 9: Ratios of Side Lengths in Similar Triangles
Lesson 12: Optical Illusions 

Unit 3: Linear Relationships

Amplify MathDesmos Math 6–A1
Unit 3: Proportional and Linear RelationshipsUnit 3: Proportional and Linear Relationships
Unit 4: Linear Equations and Linear Systems
Unit 5: Functions and Volume
Lesson 1: Visual Patterns 
Sub-Unit 1: Proportional Relationships 
Lesson 2: Proportional Relationships 
Lesson 3: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Water Tank 

Unit 5
Lesson 4: Window Frames
Lesson 5: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Unit 5
Lesson 4: Window Frames
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 6: Comparing Proportional RelationshipsUnit 3
Lesson 3: Posters
Sub-Unit 2: Linear Relationships
Lesson 7: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Stacking Cups

Unit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Relationships 
Lesson 9: More Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 10: Representations of Linear RelationshipsUnit 3
Lesson 5: Flags
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 11: Writing Equations for Lines Using Two Points 
Lesson 12: Translating mx + bUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 13: Slopes Don’t Have to be PositiveUnit 3
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 14: Writing Equations for Lines Using Two Points, Revisited 
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 3: Posters
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Sub-Unit 3: Linear Equations 
Lesson 16: Solutions to Linear EquationsUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 10: Solutions

 Unit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 17: More Solutions to Linear EquationsUnit 3 
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 10: Solutions
Lesson 18: Coordinating Linear Relationships 
Lesson 19: Rogue Planes 

Unit 4: Linear Equations and Linear Systems

Amplify MathDesmos Math 6–A1
Unit 4: Linear Equations and Systems of Linear EquationsUnit 4: Linear Equations and Systems of Linear Equations
Lesson 1: Number PuzzlesUnit 4
Lesson 1: Number machines
Sub-Unit 1: Linear Equations in One Variable 
Lesson 2: Writing Expressions and Equations
Lesson 3: Keeping the BalanceUnit 4
Lesson 2: Keep It Balanced
Lesson 4: Balanced Moves (Part 1)Unit 4
Lesson 3: Balanced Moves
Lesson 5: Balanced Moves (Part 2)Unit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 6: Solving Any Linear EquationsUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available)
Lesson 6: Strategic Solving (Print available)
Lesson 7: How Many Solutions? (Part 1)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 8: How Many Solutions? (Part 2)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 9: Strategic Solving 
Lesson 10: When Are They the SameUnit 4
Lesson 8: When Are They the Same?
Sub-Unit 2: Systems of Linear Equations
Lesson 11: On or Off the Line?Unit 4
Lesson 9: On or Off the Line?
Lesson 12: On Both of the LinesUnit 4
Lesson 10: On Both Lines
Lesson 13: Systems of Linear EquationsUnit 4
Lesson 11: Make Them Balance
Lesson 14: Solving Systems of Equations (Part 1)Unit 4
Lesson 14: All, Some, or None? Part 2
Lesson 15: Solving Systems of Equations (Part 2)Unit 4
Lesson 12: All, Some, or None? Part 2
Lesson 16: Writing Systems of Linear EquationsUnit 4
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 17: Pay Gaps 

Unit 5: Functions and Volume

Amplify MathDesmos Math 6–A1
Unit 5: Functions and VolumeUnit 2: Dilations, Similarity, and Introducing Slope
Unit 3:
Proportional and Linear Relationships
Unit 5:
Functions and Volume
Lesson 1: Pick a Pitch 
Sub-Unit 1: Representing and Interpreting Functions 
Lesson 2: Introduction to FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 3: Equations of FunctionsUnit 3
Lesson 4: Window Frames
Lesson 4: Graphs of Functions (Part 1)Unit 5
Lesson 3: Function or Not?
Lesson 5: Graphs of Functions (Part 2)Unit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Functions (Part 3)Unit 5
Lesson 6: Graphing Stories
Lesson 7: Connecting Representations of FunctionsUnit 5
Lesson 7: Feel the Burn (Print available)Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Functions 
Lesson 9: Modeling with Linear Functions 
Lesson 10: Piecewise Linear FunctionsUnit 5
Lesson 9: Piecing It Together
Sub-Unit 2: Cylinder, Cones, and Spheres 
Lesson 11: Filling Containers 
Lesson 12: The Volume of a CylinderUnit 5
Lesson 10: Volume LabLesson 11: Cylinders
Lesson 12: Scaling Cylinders
Lesson 13: Determining Dimensions of CylindersUnit 5
Lesson 14: Missing Dimensions (Print available)
Lesson 14: The Volume of a ConeUnit 5
Lesson 10: Volume LabLesson 13: Cones
Lesson 15: Determining Dimensions of ConesUnit 5
Lesson 12: Scaling Cylinders
Lesson 13: Cones
Lesson 14: Missing Dimensions (Print available)
Lesson 16: Estimating a Hemisphere 
Lesson 17: The Volume of a SphereUnit 5
Lesson 15: Spheres
Lesson 18: Cylinders, Cones and SpheresUnit 5
Lesson 15: Practice Day 2 (Print available)
Lesson 19: Scaling One Dimension 
Lesson 20: Scaling Two Dimensions 
Lesson 21: Packing Spheres 

Unit 6: Exponents and Scientific Notation

Amplify MathDesmos Math 6–A1
Unit 6: Exponents and Scientific NotationUnit 7: Exponents and Scienctific Notation
Lesson 1: Create a Sierpinski Triangle 
Sub-Unit 1: Exponent Rules 
Lesson 2: Reviewing ExponentsUnit 7
 Lesson 1: Circles
Lesson 2: Combining Exponents
Lesson 3: Multiplying PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 4: Dividing PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 5: Negative ExponentsUnit 7 
Lesson 5: Zero and Negative Exponents
Lesson 6: Powers of PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 7: Different Bases, Same Exponent 
Lesson 8: Practice with Rational BasesUnit 7
Practice Day 1 (Print available)
Sub-Unit 2: Scientific Notation 
Lesson 9: Representing Large Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 10: Representing Small Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 11: Applications of Arthithmetic with Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 12: Definition of Scientific NotationUnit 7
Lesson 10: Solar System
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 13: Multiplying, Dividing, and Estimating with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 14: Adding and Subtracting with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 12: City Lights
Lesson 13: Star Power
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon? 

Unit 7: Irrationals and the Pythagorean Theorem

Practice Day 2 (Print available)

Amplify MathDesmos Math 6–A1
Unit 7: Irrationals and the Pythagorean TheoremUnit 8: The Pythagorean Theorem and Irrational Numbers
Lesson 1: Sliced Bread
Sub-Unit 1: Rational and Irrational Numbers
Lesson 2: The Square RootUnit 8
Lesson 2: From Squares to Roots
Lesson 3: The Ares of Squares and Their Side LengthsUnit 8
Lesson 1: Tilted Squares
Lesson 3: Between Squares
Lesson 4: Estimating Square RootsUnit 8
Lesson 3: Between Squares
Lesson 4: Root Down
Lesson 5: The Cube RootUnit 8
Lesson 5: Filling Cubes
Lesson 6: Rational and Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 7: Decimal Representations of Rational NumbersUnit 8
Lesson 12: Fractions to Decimals
Lesson 8: Converting Repeating Decimals Into FractionsUnit 8
Lesson 13: Decimals to Fractions
Sub-Unit 2: The Pythagorean Theorem
Lesson 9: Observing the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 10: Proving the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 11: Determining Unknown Side LengthsUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 12: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make it Right
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 14: Distances on the Coordinate Plane (Part 2)Unit 8
Lesson 11: Pond Hopper
Lesson 15: Applications of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Lesson 16: Pythagorean Triples

Unit 8: Pythagorean Theorem and Irrational Numbers

Amplify MathDesmos Math 6–A1
Unit 8: Associations in DataUnit 6: Associations in Data
Lesson 1: Creating a Scatter PlotUnit 6
Lesson 1: Click Battle
Sub-Unit 1: Associations in Data
Lesson 2: Interpreting Points on a Scatter PlotUnit 6
Lesson 3: Robots
Lesson 3: Observing Patterns in a Scatter PlotUnit 6
Lesson 7: Scatter Plot City
Lesson 4: Fitting a Line to DataUnit 6
Lesson 4: Dapper Cats
Lesson 5: Fit Fights
Lesson 5: Using a Linear ModelUnit 6
Lesson 6: Interpreting Slopes
Lesson 6: Interpreting Slope and y-interceptUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Analyzing Bivariate DataUnit 6
Lesson 8: Animal Brains
Lesson 8: Looking for AssociationsUnit 6
Lesson 9: Tasty Fruit
Lesson 9: Using Data Displays to Find AssociationsUnit 6
Lesson 10: Finding Associations
Lesson 11: Federal Budgets

enVision-NEW

To view this protected page, enter the password below:



Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Classroom
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 13: Movie Time
Lesson 4: Understand Division with FractionsUnit 4
Lesson 13: Movie Time
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 6 Fill the Gap
Lesson 7: Solve Problems with Rational NumbersUnit 4
Lesson 3: Flour Planner

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 4: Order in the Class

Chapter 3: Numeric and Algebraic Expressions

Lesson 4: Write Algebraic ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 6: Generate Equivalent Expressions Unit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 7: Tunnel Travels
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 16: Subway FaresTake Away (coming soon!)

Chapter 5: Understand and Use Ratio and Rate

Lesson 1: Understand RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Generate Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 4: Represent and Graph RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Compare Unit RatesUnit 3
Lesson 6: Soft Serve

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 9: Lucky Duckies

Chapter 7: Solve Area, Surface Area, and Volume Problems

Lesson 1: Find Areas of Parallelograms and RhombusesUnit 1
Lesson 3: Exploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Lesson 5: Represent Solid Figures Using NetsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Display, Describe, and Summarize data

Lesson 2: Summarize data Using Mean, Median, and ModeUnit 8 
Lesson 11: Toy Cars
Lesson 4: Display Data in Frequency Tables and HistogramsUnit 8 
Lesson 5: The Plot Thickens
Lesson 7: Summarize Data DistributionsUnit 8 
Lesson 3: Minimum Wage

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Classroom
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 6: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 10: Integer Puzzles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Chapter 2: Analyze and Use Proportional Relationships

Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 6: Two and Two
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 3: Analyze and Solve Percent Problems

Lesson 1: Analyze Percents of Numbers
Lesson 2: Connect Percent and Proportion
Unit 4
Lesson 1: Mosaics
Lesson 4: Solve Percent Change and Percent Error ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Solve Markup and Markdown ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 4: Generate Equivalent Expressions

Lesson 3: Simplify ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 4: Expand ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 6: Add Expressions
Lesson 7: Subtract Expressions
Unit 6
Lesson 10: Collect the Squares

Chapter 5: Solve Problems Using Equations and Inequalities

Lesson 4: Solve Inequalities Using Addition or Subtraction
Lesson 5: Solve Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 6: Solve Two-Step Inequalities
Lesson 7: Solve Multi-Step Problems
Unit 6
Lesson 16: Shira the Sheep

Chapter 6: Use Sampling to Draw Inferences About Populations

Lesson 1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Draw Inferences from DataUnit 8 
Lesson 10: Crab Island
Lesson 3: Make Comparative Inferences About Populations
Lesson 4: Make More Comparative Inferences About Populations
Unit 8
Lesson 10: Crab Island

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines Lesson 7: Will It Fit?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It?
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 7
Lesson 3: Measuring Around
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 9: Area Challenges

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Classroom
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 4: Root Down
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 3: Power Pairs
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 2: Analyze and Solve Linear Equations

Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 6: Connect proportional Relationships and SlopeUnit 3
Lesson 4: Flags
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 4: Flags

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 3: Robots
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6  
Lesson 11: Finding Associations

Chapter 5: Analyze and Solve Systems of Linear Equations

Lesson 2: Solve Systems by GraphingUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Congruence and Similarity

Lesson 1: Analyze TranslationsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 2: Analyze Reflections
Lesson 3: Analyze Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 6: Describe DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 7: Understand Similar FiguresUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 9: Interior and Exterior Angles of TrianglesUnit 1
Lesson 12: Puzzling It Out

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 2: Find Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones

Algebra 1

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Lesson 1-3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1-4: Literal Equations and FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Functions

Lessons 2-1 to 2-3 Forms of Linear EquationsSubway Seats
Five Representations

Topic 3: Linear Functions

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise-Defined FunctionsPumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-2: Exponential FunctionsCarlos’s Fish
Revisiting Visual Patterns, Part 1
Lesson 6-4: Geometric SequencesSequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionQuadratic Visual Patterns
Lesson 8-2: Quadratic Functions in Vertex FormOn the Fence
Plenty of Parabolas
Lesson 8-5: Linear, Exponential and Quadratic ModelsDetroit’s Population, Part 1
Detroit’s Population, Part 2
Sorting Relationships
Lesson 8-3: Quadratic Functions in Standard FormRobot Launch
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets

Topic 9: Solving Quadratic Equations

Lesson 9-2: Solving Quadratic Equations by FactoringTwo for One
Parabola Zapper
Shooting Stars
Lesson 9-5: Completing the SquareSquare Tactic
Lesson 9-6: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root functionPlane, Train, and Automobile
Lesson 10-3: Analyzing Functions GraphicallyCraft-a-Graph
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Big Ideas

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasDesmos Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasDesmos Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasDesmos Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volumes of ConesUnit 5
Lesson 13: Cones

Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

Lesson 1: Compare objects based on their attributes.Connecting Cubes
Lesson 3: Classify objects into two categories and count.Skye’s Style

Topic B: Answer How Many Questions with Up to 5 Objects

Lesson 3: Sort by Same ColorMatching Groups

Topic C: Write Numerals and Create Sets of Up to 5 Objects

Lesson 10: Count out a group of objects to match a numeral.Designing Shoes with Skye

Topic E: Answer How Many Questions with Up to 10 Objects

Lesson 19: Organize, count, and represent a collection of objects.Investigate: Cafeteria Math
Lesson 20: Count objects in 5-group and array configurations and match to a numeral.Fingers as Math Tools
Lesson 23: Conserve number regardless of the order in which objects are counted.Moving and Grooving

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

Lesson 1: Find and describe attributes of flat shapes.So Much Sorting
Lesson 2: Classify shapes as triangles or nontriangles.What’s That Shape Called?
Lesson 3: Classify shapes as circles, hexagons, or neither.What’s That Shape Called?
Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case.Another Shape

Module 3: Comparison

Topic C: Compare Sets Within 10

Lesson 12: Relate more and fewer to length.More, Fewer, or the Same
Forest Friends
Lesson 13: Compare sets by using more than, fewer than, and the same number as.Fingers and Counters
Comparing Words

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

Lesson 1: Compose flat shapes and count the parts.Investigate: Casey’s Town
Lesson 2: Decompose flat shapes and count the parts.How Many Objects?
Lesson 3: Decompose a group to identify parts and total.How Many Objects in Pictures?

Topic B: Record Composition and Decomposition

Lesson 5: Sort to decompose a number in more than one way.How Will You Count?
Lesson 6: Decompose a number in more than one way and record.Harry Explores the Ocean

Module 5: Addition and Subtraction

Topic A: Represent Addition

Lesson 1: Represent add to with result unknown story problems by using drawings and numbers.What Does It Mean to Add?

Topic B: Represent Subtraction

Lesson 8: Understand taking away as a type of subtraction.What Does It Mean to Subtract?

Topic C: Make Sense of Problems

Lesson 15: Identify the action in a problem to represent and solve it.The Bus Depot

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

Lesson 2: Organize and represent data to compare two categories.Shapes Ying Saw

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.Packing for a Picnic
Lesson 3: Subtract 1 or subtract 1 less than the total.What’s the Difference?
Leaping Lily Pads!

Topic B: Relate and Distinguish Addition and Subtraction

Lesson 5: Use the Read–Draw–Write process to solve result unknown problems.Investigate: Let’s Grow!
Lesson 6: Represent and solve related addition and subtraction result unknown problems.Tutu’s Garden in Maui
Lesson 7: Count on or count back to solve related addition and subtraction problems.The Kalo Plants

Topic C: Find an Unknown Part in Change Unknown Problems

Lesson 8: Interpret and find an unknown change.Replanting Huli
Lesson 11: Represent and solve take from with change unknown problems.Helping Others
A Community Working Together

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

Lesson 9: Make ten with either addend.Making 10
Kitten Coaster

Topic D: Reason about Ten as a Unit to Add or Subtract

Lesson 16: Identify ten as a unit.Same Number, Different Ways

Module 5: Place Value Concepts to Compare, Add, and Subtract

Topic A: Grouping Units in Tens and Ones

Lesson 2: Count a collection and record the total in units of tens and ones.Investigate: Game Points
Meeting Yara
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.It’s a Match
Lesson 6: Add 10 or take 10 from a two-digit number.How Many Cubes?

Topic D: Addition and Subtraction of Tens

Lesson 15: Count on and back by tens to add and subtract.Boris’s Thimbles
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.How Many Tens?

Level 2

Module 1: Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Topic A: Representing Data to Solve Problems

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.Exploring Within 10
Ways to Make 10
Lesson 4: Use information presented in a bar graph to solve compare problems.Awesome Aquariums

Topic C: Estimate, Measure, and Compare Lengths

Lesson 12: Model and reason about the difference in length.Lengths of Jungle Animals

Topic D: Solve Compare Problems by Using the Ruler as a Number Line

Lesson 15: Use a measuring tape as a number line to add efficiently.Investigate: Where Am I?
Time to Line Up!
What’s That Number?
Lesson 17: Represent and solve comparison problems by using measurement contexts.Greater Than, Less Than, or Equal to

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

Lesson 1: Reason about addition with four addends.Investigate: Activities at the Block Party

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

Lesson 1: Organize, count, and represent a collection of coins.Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 2: Use the fewest number of coins to make a given value.How Much Money?
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar.The Toy Stand
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.The Craft Stand at the Block Party

Topic B: Use Customary Units to Measure and Estimate Length

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.In Full Bloom

Topic C: Use Measurement and Data to Solve Problems

Lesson 15: Use measurement data to create a line plot.Messy Measurements
“Lesson 16: Create a line plot to represent data and ask and answer questions.
60 min
Bracelets and Wristbands

Level 3

Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model.Arrays of Flavor

Topic D: Two Interpretations of Division

Lesson 15: Model division as an unknown factor problem.It’s Chili in Here

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand.Investigate: Create a Photo Gallery

Topic C: Simplifying Strategies to Find Sums and Differences

Lesson 13: Collect and represent data in a scaled bar graph and solve related problems.Puppy Pile
Lesson 14: Use place value understanding to add and subtract like units.Adding Your Way
Lesson 15: Use the associative property to make the next ten to add.Panda Patterns
Lesson 16: Use compensation to add.How Would You Solve It?

Topic D: Two- and Three-Digit Measurement Addition and Subtraction

Lesson 20: Add measurements using the standard algorithm to compose larger units once.What is an Algorithm?
Using Fewer Digits
Lesson 21: Add measurements using the standard algorithm to compose larger units twice.Determining Sums of 2 or More Addends
Adding Strategically

Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9

Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7

Lesson 11: Use the break apart and distribute strategy to divide with units of 7.Relating Quotients to Familiar Products
Lesson 12: Solve one-step word problems involving multiplication and division.Division and Multiplication Equations

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

Lesson 2: Recognize area as an attribute of polygons.Investigate: Comparing Rugs
Which Covers More Space?
Lesson 3: Tile polygons to find their areas.Tiling Figures
Area Hunt

Topic B: Concepts of Area Measurement

Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area.Rectangles and Arrays
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area.Area Hunt

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs.2, 5, or 10?

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

Lesson 1: Interpret multiplication as multiplicative comparison.How Does It Grow?

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

Lesson 24: Recognize that a number is a multiple of each of its factors.Hamster Homes
Factor or Multiple?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.A Number Game

Module 4: Foundations for Fraction Operations

Lesson 1: Decompose whole numbers into a sum of unit fractions.

Lesson 1: Decompose whole numbers into a sum of unit fractions.Investigate: Building Your Own Number Line
Lesson 3: Decompose fractions into a sum of fractions.Math Pizzeria
Lesson 4: Represent fractions by using various fraction models.Fraction Strips
Chop It
Lesson 5: Rename fractions greater than 1 as mixed numbers.All Kinds of Fractions

Topic D: Add and Subtract Fractions

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.Pizza Problems

Topic F: Repeated Addition of Fractions as Multiplication

Lesson 32: Multiply a fraction by a whole number by using the associative property.Equal Groups of Fractions

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

Lesson 1: Organize, count, and represent a collection of money.Investigate: Different Units
Lesson 3: Represent tenths as a place value unit.A New Way to Write Tenths
Lesson 4: Write mixed numbers in decimal form with tenths.A New Way to Write Tenths

Topic B: Tenths and Hundredths

Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.Are They Equivalent?
Lesson 6: Represent hundredths as a place value unit.A New Way to Write Hundredths
Lesson 7: Write mixed numbers in decimal form with hundredths.A New Way to Write Hundredths

Topic C: Comparison of Decimal Numbers

Lesson 10: Use pictorial representations to compare decimal numbers.How Can You Compare?
Lesson 11: Compare and order decimal numbers.Robot Factory
What’s the Order?

Level 5

Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers

Topic B: Multiplication of Whole Numbers

Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.Partial Products Everywhere
Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.How Do They Compare?

Topic C: Division of Whole Numbers

Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients.Emptying the Water Tank

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

Lesson 1: Interpret a fraction as division.Investigate: Sharing Sandwiches
Sharing More Sandwiches
Dance Breaks
Lesson 3: Represent fractions as division by using models.Making Generalizations
Lesson 4: Solve word problems involving division and fractions.Division Story Problems

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

Lesson 7: Multiply fractions less than 1 by unit fractions pictorially.Investigate: Folding Paper
Lesson 8: Multiply fractions less than 1 pictorially.Parts of Parts
One Part of One Part
Rows and Columns
Lesson 9: Multiply fractions by unit fractions by making simpler problems.Messy Multiplication
Lesson 10: Multiply fractions greater than 1 by fractions.Making Food
Installing Turf
Lesson 11: Multiply fractions.Applying Fraction Multiplication
Chores at Animal Haven
The Re-size-inator

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting.Which is Largest
Lesson 18: Find the volume of right rectangular prisms by packing with improvised units.Packing the Barge

Topic D: Volume and the Operations of Multiplication and Addition

Lesson 25: Find the volumes of solid figures composed of right rectangular prisms.Putting It Together
Figures Made of Prisms

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

Lesson 6: Ratios Tables and Double Number LinesFruit Lab
Lesson 9: Multiplication Patterns in Ratio RelationshipsDisaster Preparation

Topic D: Rates

Lesson 16: SpeedWorld Records
Lesson 17: RatesMany Measurements
Soft Serve
Lesson 18: Comparing RatesWelcome to the Robot Factory
Lesson 19: Unit Rates to Convert UnitsModel Trains
More Soft Serve
Lesson 20: Solving Rate ProblemsLucky Duckies

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

Lesson 6: Dividing a Whole Number by a FractionFlour Planner
Lesson 8: Dividing Fractions by Making Common DenominatorsFill the Gap

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

Lesson 13: Decimal Addition and SubtractionDishing Out Decimals
Lesson 16: Applications of Decimal OperationsDecimal Diagrams and Algorithms

Topic F: Decimal Division

Lesson 21: Dividing a Decimals by a Whole NumberMovie Time
Lesson 22: Dividing a Decimal by a Decimal Greater than 1Movie Time
Lesson 23: Dividing a Decimal by a Decimal Less than 1Movie Time

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

Lesson 1: Positive and Negative NumbersCan You Dig It?
Lesson 3: Rational NumbersOrder in the Class

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

Lesson 9: Addition and Subtraction Expressions from the Real-WorldSubway Fares

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

Lesson 17: Equations and SolutionsFive Equations
Lesson 18: Inequalities and SolutionsHanging It Up
Tunnel Travels
Lesson 19: Solving Equations with Addition and SubtractionWeight for It
Lesson 20: Solving Equations with Multiplication and DivisionHanging Around
Lesson 21: Solving Problems with EquationsSwap and Solve

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

Lesson 1: The Area of a ParallelogramExploring Parallelograms, Part 1
Lesson 2: The Area of a Right TriangleOff the Grid, Part 2
Lesson 3: The Area of a TriangleExploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 4: Areas of Triangles in Real-World SituationsExploring Triangles

Topic B: Problem Solving with Area

Lesson 5: Perimeter and Area in the Coordinate PlaneShapes on a Plane
Lesson 6: Problem Solving with Area in the Coordinate PlaneLetters
Lesson 7: Areas of Trapezoids and Other PolygonsTriangles and Parallelograms
Lesson 8: Areas of Composite Rigures in Real-World SituationsPile of Polygons

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

Lesson 2: Describing a Data DistributionHoops
Lesson 3: Creating a Dot PlotMinimum Wage
Lesson 4: Creating a HistogramThe Plot Thickens

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

Lesson 1: An Experiment with Ratios and RatesPaint
Lesson 2: Exploring Tables and Proportional RelationshipsTwo and Two
Lesson 4: Exploring Graphs of Proportional RelationshipsDinoPops

Topic C: Scale Drawing and Proportional Relationships

Lesson 14: Extreme BicyclesScaling Machines
Lesson 15: Scale DrawingScaling Robots
Lesson 16: Using Scale FactorScale Factor Challenges
Lesson 17: Finding Actual Distances from ScaleMake it Scale
Lesson 18: Relating Areas of Scale DrawingTiles
Will It Fit

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

Lesson 8: Subtracting Integers, Part 1More Floats and Anchors
Lesson 10: Subtracting Rational Numbers, Part 1Draw Your Own

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

Lesson 18: Understanding Inequalities and Their SolutionsI Saw the Signs
Lesson 19: Using Equations to Solve InequalitiesUnbalanced Hangers
Lesson 20: Preserving and ReversingShira the Sheep
Lesson 21: Solving Two-Step InequalitiesBudgeting
Lesson 22: Solving Problems Involving InequalitiesWrite Them and Solve Them

Module 4: Geometry

Topic A: Constructing Geometric Figures

Lesson 3: Side Lengths of a TriangleCan You Build It
Lesson 4: Angles of a TriangleFriendly Angles

Topic C: Circumference and Areas of Circles

Lesson 10: The Outside of a CicleMeasuring Around
Lesson 11: The Inside of a CircleWhy Pi?
Lesson 14: Composite Figures with Circular RegionsArea Challenges

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

Lesson 3: Percent as a Rate per 100Mosaics
Lesson 4: Proportion and PercentMore and Less

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

Lesson 16: Markups and Discount100%
Lesson 18: Simple Interest – Solving for Unknown ValuesPercent Machines

Topic E: Problems Involving Percent

Lesson 20: Making Money, Day 1Back in My Day

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

Lesson 2: Empirical ProbabilityHow Likely
Lesson 4: Theoretical ProbabilityProb-bear-bilities

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

Lesson 2: Comparing Large NumbersSpecific and Scientific (formerly Solar System)
Lesson 4: Adding and Subtracting Numbers Written in Scientific NotationBalance the Scale

Topic B: Properties and Definitions of Exponents

Lesson 6: More Properties of ExponentsCircles
Lesson 7: Making Sense of the Exponent 0Power Pairs

Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem

Lesson 18: The Pythagorean TheoremTriangle Tracing Turtle
Lesson 19: Using the Pythagorean TheoremTaco Truck
Lesson 23: Ordering Irrational NumbersRoot Down

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

Lesson 1: Motions in the PlaneTransformers
Moving Day
Lesson 2: TranslationsSpinning, Flipping, Sliding
Moving Day
Lesson 4: Translations and Reflections on the Coordinate PlaneGetting Coordinated, Part 1
Lesson 6: Rotations on the Coordinate PlaneGetting Coordinated, Part 2

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

Lesson 1: Exploring DilationsSketchy Dilations
Lesson 3: Reductions and More EnlargmentsDilation Mini Golf

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

Lesson 16: Proportional Relationships and SlopeTurtle Time Trials
Lesson 17: Slopes of Rising LinesFlags
Ups and Downs
Lesson 18: Slopes of Falling LinesFlags
Water Cooler
Ups and Downs

Topic E: Different Forms of a Linear Equation

Lesson 20: Slope-Intercept form of the Equation of a LineStacking Cups (Optional)
Lesson 21: Slopes and Parallel LinesTranslations

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

Lesson 1: Solving Problems with Equations and Their GraphsMake Them Balance

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

Lesson 1: Motion and SpeedTurtle Crossing
Lesson 2: Definition of a FunctionGuess My Rule

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

Lesson 11: Scatter PlotsRobots
Dapper Cats
Lesson 12: Patterns in Scatter PlotsInterpreting Scatter Plots
Lesson 13: Informally Fitting a Line to DataFind the Fit (called Fit Fights in Desmos Math)
Lesson 14: Determining an Equation of a Line Fit to DataInterpreting Slopes
Lesson 15: Linear ModelAnimal Brains
Lesson 16: Using the Investigative ProcessScatter Plot City
Lesson 17: Analyzing the ModleScatter Plot City

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

Lesson 22: Volume of a CylinderCylinders
Lesson 23: Volume of ConesCones

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

Lesson 1: The Growing Pattern of DucksMore Visual Patterns
Lesson 8: Solution Sets for Equations and Inequalities in One VariableSame Position
Lesson 9: Solving Linear Equations in One VariableWorking Backwards
Solving Strategies
Lesson 12: Rearranging FormulasSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 13: Solving Linear Inequalities in One VariablePizza Delivery
Lesson 21: Describing Variability in a Univariate Distribution with Standard DeviationFinding Desmo

Module 2: Equations and Inequalities in Two Variables

Lesson 1: Solution Sets of Linear Equations in Two VariablesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 6: Applications of Linear Equations and InequalitiesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Pizza Delivery
Lesson 8: Systems of Linear Equations in Two VariablesShape It Up
Lizard Lines
Lesson 12: Solution Sets of Systems of Linear InequalitiesQuilts
Lesson 13: Graphing Solution Sets of Systems of Linear InequalitiesSeeking Solutions
Lesson 16: Using Lines to Model Bivariate Quantitative DataCity Data
Lesson 17: Modeling Relationships with a LinePenguin Populations
Lesson 18: Calculating and Analyzing ResidualsResidual Fruit
Lesson 20: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 21: Analyzing Bivariate Quantitative DataBehind the Headlines

Module 3: Functions and Their Representations

Lesson 7: Exploring Key Features of a Function and Its GraphCraft-a-Graph
Lesson 17: Piecewise Linear Functions in ContextPumpkin Prices

Module 4: Quadratic Functions

Topic A: Quadratic Functions and Their GraphsRobot Launch
Lesson 1: Falling ObjectsQuadratic Visual Patterns
Lesson 2: Projectile MotionStomp Rockets
Lesson 3: Analyzing Functions That Model Projectile MotionStomp Rockets in Space
Lesson 4: Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Lesson 5: Solving Equations that Contain Factored ExpressionsShooting Stars
Lesson 11: Graphing Quadratic Functions from Factored FormTwo for One
Parabola Zapper
Lesson 14: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 27: Search and Rescue HelicopterCity Data

Module 5: Linear and Exponential Functions

Topic A: Arithmetic and Geometric SequencesMore Visual Patterns
Sequence Carnival
Lesson 8: Exponential FunctionsCarlos’s Fish
Topic A: Arithmetic and Geometric SequencesSequence Carnival
Topic A: Arithmetic and Geometric SequencesRevisiting Visual Patterns, Part 1
Lesson 18: Modeling PopulationsSorting Relationships
Lesson 20: Comparing Growth of FunctionsPlane, Train, and Automobile
Sorting Relationships

Module 6: Modeling with Functions

Topic A: Modeling Bivariate Quantitative DataCity Data
Topic B: Developing Models for ContextsDetroit’s Population, Part 1
Detroit’s Population, Part 2

Grade 6

Unit 1: Numbers

GO Math!Desmos Math 6–A1
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1
Lesson 12: Budget Vehicles
Lesson 13: Grocery Prices

Unit 2: Number Operations

Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day (Print available)
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1 (Print available)
Lesson 12: Budget Vehicles (Print available)
Lesson 13: Grocery Prices (Print available)

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Rice Ratios (Print available)
Lesson 7:  Mixing Paint, Part 1
Lesson 12: Mixing Paint, Part 2
Lesson 6.2: Rates Unit 2
Lesson 8: World Records (Print available)
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory (Print available)
Lesson 7: More Soft Serve
Lesson 13: A County as a Village
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 13:City Planning
Lesson 14: Lunch Waste (Print available)
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Unit 3
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7.2: Solving Problems with Proportions
Lesson 7.3: Converting Within Measurement SystemsUnit 3
Lesson 2: Counting Classrooms
Lesson 7.4: Converting Between Measurement SystemsUnit 3
Lesson 3: Pen Pals
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 8.2: Percents, Fractions, and Decimals.Unit 3
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 8.3: Solving Percent ProblemsUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village

Unit 4: Equivalent Expressions

Module 9: Generating Equivalent Numerical Expressions
Lesson 9.1: ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 9.2: Prime Factorization
Lesson 9.3: Order of Operations
Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 6: Vari-apples
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 7: Border Tiles
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)

Unit 5: Equations and Inequalities

Unit 6: Relationships in Geometry

Unit 7: Measurement and Data

Grade 7

Unit 1: The Number System

GO Math!Desmos Math 6–A1
Module 1:  Adding and Subtracting Integers
Lesson 1.1: Adding Integers With the Same Sign
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 9: Expressions (Print available)
Lesson 10: Integer Puzzles [Free lesson]
Lesson 1.4:  Applying Addition and Subtraction of IntegersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.2: Dividing IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.3: Applying Integer OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 3:  Rational Numbers
Lesson 3.1: Rational Numbers and Decimals
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 3.4: Multiplying Rational NumbersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 3.5: Dividing Rational Numbers Unit 5
Lesson 6: Floating in Groups
Lesson 3.6: Applying Rational Number OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 9: Gallon Challenge
Unit 4
Lesson 2: Peach Cobbler (Print available)
Lesson 3: Sticker Sizes
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4:  Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 8: DinoPops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Unit 4
Lesson 3: Sticker Sizes
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics [Free lesson]
Lesson 4: More and Less
Lesson 5: All the Equations
Lesson 7: Percent Machines [Free lesson]
Lesson 9: Minimum Wage (Print available)
Lesson 13: Decimal Deep Dive (Print available)
Lesson 5.2: Rewriting Percent ExpressionsUnit 4
Lesson 9: Minimum Wage
Lesson 5.3: Applications of PercentUnit 4
Lesson 6: 100% (Print available)
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems [Free lesson]

Unit 3: Expressions, Equations, and Inequalities

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and Scale DrawingsUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 8:  Can You Draw It? (Print available)
Lesson 8.3: Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8.4Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around [Free lesson]
Lesson 9.2: Area of CirclesUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 5: Area Strategies
Lesson 8: Area Challenges [Free lesson]
Lesson 9.4: Solving Surface Area ProblemsUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 9.5: Solving Volume ProblemsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island [Free lesson]
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 13: Plots and Samples
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 10.2: Making Inferences from a Random Sample
Lesson 10.3: Generating Random Samples
Unit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rate (Print available)
Module 11: Analyzing and Comparing Data
Lesson 11.1: Comparing Data Displayed in Dot PlotsUnit 8
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 11.2: Comparing Data Displayed in Box PlotsUnit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rates (Print available)
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Crab Island [Free lesson]
Lesson 15: Asthma Rates (Print available)

Unit 6: Probability

Module 12: Experimental Probability
Lesson 12.1: ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 12.2: Experimental Probability of Simple EventsUnit 8
Lesson 3: Mystery Bag
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 12.3: Experimental Probability of Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 12.4: Making Predictions with Experimental ProbabilityUnit 8
Lesson 3: Mystery Bag
Lesson 5: Is It Fair?
Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 13.2: Theoretical Probability of Compound EventsUnit 8
Lesson 6: Fair Games
Lesson 13.3: Making Predictions with Theoretical ProbabilityUnit 8
Lesson 8: Simulate It! (Print available)
Lesson 13.4: Using Technology to Conduct a SimulationUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Desmos Math 6–A1
Module 1: Real Numbers
Lesson 1.1: Rational and Irrational Numbers
Lesson 1.2: Sets of Real Numbers
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 14: Hit the Target
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down [Free lesson]
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles [Free lesson]
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 2.2: Scientific Notation with Positive Powers of 10Unit 7
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.3: Scientific Notation with Negative Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scale [Free lesson]
Lesson 12: City Lights
Lesson 13: Star Power 

Unit 2: Proportional and Nonproportional Relationships and Functions

Module 3: Proportional Relationships
Lesson 3.1: Representing Proportional Relationships.Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 3.2: Rate of Change and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Line
Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Unit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3.3: Interpreting the Unit Rate as SlopeUnit 3
Lesson 2: Water Tank
Lesson 3: Posters
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 5: Flags [Free lesson]
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 5: Flags [Free lesson]Lesson 9: Coin Capture
Lesson 5.2: Writing Linear Equations from a Table
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 1: Click Bait
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6.2: Describing FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 9: Piecing It Together

Unit 3: Solving Equations and Systems of Equations

Module 7:  Solving Linear Equations
Lesson 7.1: Equations with the Variable on Both SidesUnit 4
Lesson 2: Keep It Balanced
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 8: When Are They the Same?
Lesson 7.2: Equations with Rational NumbersUnit 4
Lesson 6: Strategic Solving (Print available)
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 7.4: Equations with Many Solutions or No SolutionUnit 4
Lesson 7:  All, Some, or None?
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 8.2: Solving Systems by SubstitutionUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 8.3: Solving Systems by Elimination
Lesson 8.4: Solving Systems by Elimination with Multiplication
Lesson 8.5: Solving Special SystemsUnit 4
Lesson 13: All, Some, or None? Part 2

Unit 4: Transformational Geometry

Unit 5: Measurement Geometry

Module 11: Angle Relationships in Parallel Lines and Triangles
Lesson 11.1: Parallel Lines Cut by a Transversal.Unit 1
Lesson 10: Transforming Angles
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 3: Match My Dilation
Lesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Are Angles Enough?
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 10: Taco Truck [Free lesson]
Lesson 12.2: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 12.3: Distance Between Two PointsUnit 8
Lesson 11: Pond Hopper
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 14: Missing Dimensions (Print available)
Lesson 13.2: Volume of ConesUnit 5
Lesson 10: Volume Lab
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 13.3: Volume of SpheresUnit 5
Lesson 10: Volume Lab
Lesson 15: Spheres

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 8: Animal Brains
Module 15: Two-Way Tables
Lesson 15.1: Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 15.2: Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets

Reveal Math

Grade 6

Module 1: Ratios and Rates

Reveal MathDesmos Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathDesmos Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathDesmos Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

Lesson 4-1: Alike and DifferentSo Much Sorting
Lesson 4-2: Sort Objects into GroupsSo Much Sorting
Lesson 4-3: Count Objects in GroupsWhat’s that Shape called?
Another Shape

Unit 5: 2-Dimensional Shapes

Lesson 5-1: TrianglesWhat’s that Shape called?
Lesson 5-2: Squares and RectanglesAnother Shape
Lesson 5-4: CirclesWhat’s that Shape called?

Unit 6: Understand Addition

Lesson 6-1: Represent and Solve Add To ProblemsHow Many Objects?
Lesson 6-2: Represent and Solve More Add to ProblemsWhat does it mean to add?
Lesson 6-3: Represent and Solve Put Together ProblemsWhat does it mean to add?

Unit 7: Understand Subtraction

Lesson 7-1: Represent Take Apart ProblemsWhat does it mean to subtract?
Lesson 7-2: Represent and Take From ProblemsWhat does it mean to subtract?

Unit 8: Addition and Subtraction Strategies

Lesson 8-4: Ways to Decompose 6 and 7Harry Explores the Ocean
Lesson 8-6: Ways to Decompose 8 and 9Harry Explores the Ocean
Lesson 8-7: Ways to Make 10Harry Explores Space
Lesson 8-8: Ways to Decompose 10Showing What We Know About 10

Unit 13: Analyze, Compare and Compose Shapes

Lesson 13-1: Compare and Contrast 2-Dimensional ShapesWhat’s that Shape called?

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

Lesson 2-5: Patterns when Representing Objects in a GroupMeeting Yara

Unit 3: Place Value

Lesson 3-1: Numbers 11 to 19Same Number, Different Ways
Lesson 3-2: Understand 10sBoris’s Thimbles
Lesson 3-4: Represent 2-DigitsSame Number, Different Ways
Lesson 3-5: Represent 2-Digits in Different WaysSame Number, Different Ways

Unit 4: Addition within 20: Facts and Strategies

Lesson 4-1: Relate Counting to AdditionInvestigate: Game Points
Meeting Yara
Lesson 4-5: Make a Ten to AddMaking 10
Lesson 4-9: Find an Unknown Number in an Addition EquationA Community Working Together
Lesson 4-10: Understand The Equal SignKitten Coaster
Lesson 4-11: True Addition EquationsKitten Coaster
Replanting Huli

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

Lesson 7-1: Represent and Solve Add to ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 7-2: Represent and Solve More Add to ProblemsHelping Others

Unit 8: Meanings of Subtraction

Lesson 8-1: Represent and Solve Take From ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 8-2: Represent and Solve More Take From ProblemsHelping Others

Unit 13: Equal Shares

Lesson 13-1: Understand Equal SharesA Bigger Part
Lesson 13-2: Partition Shapes into HalvesFair and Square
Lesson 13-3: Partition Shapes into FourthsFair and Square
Lesson 13-4: Describe the WholeOne of the Parts, All of the Parts
Lesson 13-5: Describe the Halves and Fourths of ShapesOne of the Parts, All of the Parts

Grade 2

Unit 2: Place Value to 1,000

Lesson 2-1: Understand HundredsWhat Makes a Hundred?
Lesson 2-2: Understand 3-digit numbersWhat’s the Value?
Lesson 2-3: Read and Write Numbers to 1000All the Ways!
Lesson 2-4: Decompose 3-digit numbersA New Representation

Unit 3: Patterns within Numbers

Lesson 3-1: Counting PatternsInvestigate: A Mistake in Mom’s Office
Lesson 3-2: Patterns when Skip Counting by 5?What’s that Number?
Lesson 3-3: Patterns when Skip Counting by 10s and 100sLooking for Patterns

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

Lesson 5-9: Add More Than Two NumbersHow Much Money?

Unit 7: Measure and Compare Lengths

Lesson 7-10: Solve Problems using LengthLengths of Jungle Animals

Unit 8: Measurement, Time and Money

Lesson 8-1: Understand the Value of CoinsDiscovering Coins (Part I)
Discovering Coins (Part 2)
Lesson 8-2: Solving Money Problems Using CoinsHow Much Money?

Unit 9: Strategies to Add 3-Digit Numbers

9-2: Represent Addition with 3-Digit NumbersThere’s Something About Berries
9-3: Represent Addition with 3-Digit Numbers With RegroupingBaking with Skunk

Unit 11: Data Analysis

Lesson 11-5: Understand Line PlotsMessy Measurements
Lesson 11-6: Show Data on a Line PlotBracelets and Wristbands

Grade 3

Unit 2: Use Place Value Fluently to Add and Subtract within 1001

Lesson 2-3: Estimate Sums and DifferencesAdding Strategically
Lesson 2-6: Use Partial Sums to AddWhat is an Algorithm
Lesson 2-10: Fluently Add Within 1,000How Would You Solve It?
Determining the Sum of 2 or More Addends

Unit 3: Multiplication and Division

Lesson 3-1: Understand Equal GroupsEqual Groups
Lesson 3-3: Understand the Commutative PropertyArrays of Flavor
Lesson 3-7: Find the UnknownIt’s Chilli In Here!

Unit 4: Use Patterns to Multiply by 0,1, 2, 5 and 11

Lesson 4-6: Solve Problems Using Equal GroupsDivision and Multiplication Equations

Unit 6: Connect Area and Multiplication

Lesson 6-1: Understand AreaTiling Figures
Lesson 6-2: Count Unit Squares to Determine AreaRectangles and Arrays
Unit 2: Lesson 4: Area Hunt

Unit 7: Fractions

Lesson 7-5: Represent Whole Numbers as FractionsCat Crossing
Lesson 7-6: Represent a Greater Than One on a Number LineFractions on the Number Line

Unit 9: Use Multiplication to Divide

Lesson 9-1: Use Multiplication to Solve Division ProblemsRelating Quotients to Familar Products

Unit 12: Measurement and Data

Lesson 12-10: Measure to Halves or Fourths of an InchHow Long Is It?
More Precise Measurements
Lesson 12-11: Show Measurement Data on a Line PlotThe Plot Chickens

Unit 13: Describe and Analyze 2-Dimensional Shapes

Lesson 13-1: Describe and Classify PolygonsPiho’s Shapes
Lesson 13-2: Classify QuadrilateralsRectangles, Squares and Rhombuses

Grade 4

Unit 4: Multiplication as Comparison

Lesson 4-1: Understanding Comparing with MultiplicationRepresenting “Times as Many”
Lesson 4-2: Represent Comparison ProblemsSticker Mania
Lesson 4-3: Solve Comparison Problems Using MultiplicationGoing Swimming

Unit 5: Numbers and Number Patterns

Lesson 5-1: Understand Factors of a NumberHamster Homes
Lesson 5-3: Understand MultiplesFactor or Multiple
Lesson 5-4: Number or Shape PatterrnsHow Does it Grow?
Lesson 5-5: Generate a PatternHow Does it Grow?

Unit 6: Multiplication Strategies with Multi-Digit Numbers

Lesson 6-2: Estimate ProductsA Reasonable Answer
Lesson 6-4: Multiply 2-Digit by 1-Digit FactorsCounting Flowers for Lei
Lesson 6-5: Multiply Multi-Digit 1-Digit FactorsA Lei Making Workshop
Lesson 6-7: Multiply 2-Digit FactorsDouble Decomposition

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

Lesson 9-2: Represent Adding FractionsPizza Problems
Lesson 9-3: Add Fractions with Like DenominatorsPizza Problems
Lesson 9-4: Represent Subtracting FractionsPizza Problems
Lesson 9-5: Subtract Fractions with Like DenominatorsPizza Problems
Lesson 9-6: Solve Problems Using FractionsPizza Problems

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

Lesson 11-1: Represent Multiplication of a Unit Fraction by a Whole NumberEqual Groups of Fractions

Unit 12: Decimal Fractions

Lesson 12-2: Understand Decimal NotationA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-3: Compare DecimalsCan You Compare?

Grade 5

Unit 2: Volume

Lesson 2-2: Use Unit Cubes to Determine VolumePutting It Together
Lesson 2-3: Use Formula to Determine VolumePutting It Together
Lesson 2-4: Determine the Volume of Composite FiguresFigures Made of Prisms

Unit 3: Place Value and Number Relationships

Lesson 3-1: Generalize Place ValuePlace Value Patterns
Lesson 3-4: Compare DecimalsSelling Collectibles
Lesson 3-5: Use Place Value to Round DecimalsWhich Way Down the Mountain?

Unit 5: Multiply Multi-Digit Whole Numbers

Lesson 5-1: Understand Powers and ExponentsMonarch Butterflies
Lesson 5-2: Patterns When Multiplying a Whole Number by Powers of 10All About that Base
Lesson 5-5: Use Partial Products to Multiply Multi-Digit FactorsHow Do They Compare?
Lesson 5-6: Relate Partial Products to an AlgorithmPatrial Products Everywhere
Lesson 5-7: Multiply Multi-Digit Factors FluentlyPatrial Products Everywhere

Unit 6: Multiply Decimals

Lesson 6-1: Patterns when Multiplying Decimals by Powers of 10Powers of 10 Parade

Unit 7: Divide Whole Numbers

Lesson 7-5: Use Partial Quotients to DivideEmptying the Water Tank

Unit 8: Divide Decimals

Lesson 8-1: Division Patterns with Decimals and Patterns of 10Powers of 10 Parade

Unit 10: Multiply Fractions

Lesson 10-3: Represent Multiplication of a Fraction By A FractionMaking Food
Lesson 10-4: Multiply a Fraction By A FractionMaking Food
Lesson 10-5: Determine the Area of Rectanges with Fractional Side LengthsInstalling Turf
Lesson 10-6: Represent Multiplication of Mixed NumbersInstalling Turf
Lesson 10-7: Multiply Mixed NumbersInstalling Turf

Unit 13: Geometry

Lesson 13-2: Plot Ordered Pairs on the Coordinate PlaneBullseye!

Grade 6

Module 1: Ratios and Rates

Reveal MathAmplify Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathAmplify Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathAmplify Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomDesmos Math 6–A1
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 2: Find the Area of Triangles and Other PolygonsUnit 1
Lesson 7: Off the Grid, Part 2
Practice Day 1 (Print available)
Lesson 3: Use Nets to Find Surface AreaUnit 1
Lesson 11: Nothing But Nets (Print available)
Practice Day 2 (Print available)
Lesson 4: Work with Algebraic ExpressionsUnit 6
Lesson 6: Vari-apples
Lesson 5: Write and Evaluate Expressions with ExponentsUnit 6
Lesson 4: Hanging it Up
Lesson 5: Swap and Solve (Print available)
Practice Day 2 (Print available)
Lesson 6: Find Greatest Common Factor and Least Common MultipleUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Unit 4: Ratio Reasoning: Unit Rates and Percent

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It [Free lesson]
Lesson 4: Sub-Zero
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 25: Understand Absolute ValueUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 6: Tunnel Travels [Free lesson]
Lesson 7: Comparing Weights
Lesson 8: Shira’s Solutions
Lesson 27: Understand the Four-Quadrant Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Practice Day 2 (Print available)
Lesson 28: Solve Problems in the Coordinate PlaneUnit 7
Lesson 12: Graph Telephone
Practice Day 2 (Print available)

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 11: Understand Multiplication with Negative IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 12: Multiply and Divide with Negative NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Express Rational Numbers as Terminating or Repeating DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles [Free lesson]
Lesson 13: Solar Panels and More (Print available)
Practice Day 2  (Print available)

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 25: Solve Problems Involving Area and Surface AreaUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 26: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Practice Day 2 (Print available)
Lesson 27: Describe Plane Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids
Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 29: Draw Plane Figures with Given ConditionsUnit 7
Lesson 6: Is It Enough
Lesson 7: More Than One?
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 31: Solve Problems Involving Experimental ProbabilityUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 32: Solve Problems Involving Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 33: Solve Problems Involving Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)
Practice Day 1 (Print available)

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomDesmos Math 6–A1
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers [Free lesson]
Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Transformation Golf
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day (Print available) [Free lesson]
Lesson 8: No Bending, No Stretching
Lesson 9: Are They Congruent?
Practice Day (Print available)
Lesson 3: Work with Sequences of Transformations and CongruenceUnit 1
Lesson 3: Transformation Golf

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 2
Lesson 9: Water Slide

Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Derive and Graph Linear Equations of the Form y = mx + bUnit 3
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 10: Solve Linear Equations in One VariableUnit 4
Lesson 1: Number Machines
Lesson 2: Keep It Balanced
Lesson 11: Determine the Number of Solutions to One-Variable EquationsUnit 4
Lesson 7: All, Some, or None
Lesson 8: When Are They the Same?
Lesson 12: Understand Systems of Linear Equations in Two VariablesUnit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 14: Represent and Solve Problems with Systems of Linear EquationsUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Practice Day 2 (Print available)

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 17: Compare Different Representations of Functions
Lesson 18: Analyze Functional Relationships Qualitatively
Unit 5
Lesson 7: Feel the Burn (Print available) [Free lesson]

Unit 5: Integer Exponents: Properties and Scientific Notation

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Filling Cubes
Lesson 24: Express Rational Numbers as Fractions and DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck [Free lesson]
Lesson 26: Understand the Pythagorean Theorem and its ConverseUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 9: Make It Right
Lesson 11: Pond Hopper
Practice Day 2 (Print available)
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresLesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 15: Spheres

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 5: Fit Fight [Free lesson]
Lesson 30: Write and Analyze an Equation for Fitting a Linear Model to DataUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot CityLesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 31: Understand Two-Way TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 10: Finding Associations [Free lesson]
Lesson 32: Construct and Interpret Two-Way TablesUnit 6
Lesson 11: Federal Budgets
Practice Day 3

GO Math!-NEW

To view this protected page, enter the password below:



Grade 6

Module 1: Composing and Decomposing

Topic 1: Factors and Multiples

MATHbookLesson 1: Taking Apart Numbers and ShapesProducts and Sums
MATHbookLesson 5: Yours IS to Reason Why!Fill the Gap

Topic 2: Area, Volume, and Surface Area

MATHbookLesson 1: All About That Base….and HeightExploring Triangles
Triangles and Parallelograms
MATHbookLesson 2: Slicing and Dicing: Composit FigureShapes on a Plane
Letters

Topic 3: Decimals

MATHbookLesson 1: You Have a PointDishing Out Decimals
MATHbookLesson 2: Get In LineDecimal Diagrams and Algorithms
MATHbookLesson 4: Dividend In the HouseMovie Time

Topic 4: Fraction by Fraction Division

MATHiaLesson 1: Representing Fraction DivisionFlour Planner

Topic 5: Area of Triangles and Quadrilaterals

MATHiaLesson 2: Developing Area FormulasExploring Parallelograms,
Part 1
MATHiaLesson 3: Calculating Areas of Various FiguresExploring Parallelograms,
Part 2

Off the Grid, Part 1
Off the Grid, Part 2

Topic 6: Composite Figures

MATHiaLesson 2: Calculating Area of Composite FiguresPile of Polygons

Topic 8: Surface Area of Regulat Prisms and Pyramids

MATHiaLesson 1: Determing Surface Area Using NetsRenata’s Stickers

Module 2: Relating Quantitites

Topic 1: Ratios

MATHbookLesson 2: Going StrongPizza Maker
MATHbookLesson 3: Different but the SamePizza Maker
MATHbookLesson 4: A trip to the MoonFruit Lab

Topic 2: Percents

MATHbookLesson 2: Warming the BenchLucky Duckies

Topic 3: Using Tables to Represent Equivalent Ratios

MATHbookLesson 1: Many ways to MeasureMany Measurements
Model Trains
MATHbookLesson 2: What is the Best Buy?World Records
MATHbookLesson 3: A Trip to the MoonWelcome to the Robot Factory
MATHiaLesson 2: Using Tables to Determine Equivalent RatiosDisaster Preparation
MATHiaLesson 3: Problem Solving with Equivalent Rations and Rates using TablesDisaster Preparation

Topic 9: Introduction to Unit Rate

MATHiaLesson 2: Determining and Comparing RatesSoft Serve
More Soft Serve

Module 3: Determining Unknown Values

Topic 2: Equations

MATHbookLesson 2: Double TalkWeight for It
MATHbookLesson 3: Play It in ReverseWeight for It
MATHbookLesson 4: One, None, or a TonTunnel Travels
MATHbookLesson 5: Getting RealFive Equations
Swap and Solve

Topic 3: Graphing Quantitative Relationships

MATHbookLesson 3: Planes, Trains, and PaychecksSubway Fares

Topic 6: Solving One-Step Addition and Subtraction Equations

MATHiaLesson 1: Exploring One-Step Equations with Double-Number LinesHanging Around

Topic 7: Solving One-Step Multiplication and Division Equations

MATHiaLesson 1: Using Double Number Lines to Solve One-Step Multiplicaiton EquationsHanging Around

Topic 8: Solving One-Step Equations with Decimals and Fractions

MATHiaLessons 1-4:Hanging Around

Module 4: Moving Beyond Positive Quantities

Topic 1: Signed Numbers

MATHbookLesson 1: Signed NumbersCan You Dig It?

Topic 1: Introduction to Negative Numbers

MATHiaLesson 2: Representing Integers on Number LinesOrder in the Class

Module 5: Describing Variability of Quantities

Topic 1: The Statical Process

MATHbookLesson 3: SkyscrapersThe Plot Thickens

Topic 2: Numerical Summaries of Data

MATHbookLesson 1: In the MiddleToy Cars
MATHbookLesson 3: March MADnessHoops

Topic 2: Analyzing Numeric Data Displays

MATHiaLesson 1: Creating Dot PlotsMinimum Wage

Grade 7

Module 1: Thinking Proportionally

Topic 1: Circles and Ratios

MATHbookLesson 1: Pi: The Ultimate RatioMeasuring Around
MATHbookLesson 2: That’s a Spicy Pizza!Why Pi?
MATHbookLesson 2: Circular ReasoningArea Challenges
MATHbook
Lesson 4: Pound for Pount, Inch for Inch
Scaling Machines
Tiles
Scaling Robots

Topic 2: Proportionality

MATHbookLesson 1: Poultry in MotionPaint
MATHbookLesson 6: Minding Your Ps and QsTwo and Two

Topic 3: Proportional Relationships

MATHbookLesson 1: Markups and MarkdownsAll the Equations
100%
MATHbookLesson 4: More Ups and DownsMosaics
More and Less

Topic 3: Scale and Scale Drawing

MATHiaLesson 1: Critical Attributes of Similar FiguresScale Factor Challenges
MATHiaLesson 3: Calculating Measurements Using ScaleMake it Scale
Will It Fit

Topic 4: Ratio Representations

MATHiaLesson 2: Determining Characteristics of Graphs of Proportional RelationshipsDinoPops

Topic 11: Introducing Proportions to Solve Percent Problems

MATHiaLesson 2: Solving Simple Percent ProblemsBack in My Day

Topic 13: Percent Increase and Percent Decrease

MATHiaLesson 1: Calculating Percent Change and Final AmountsPercent Machines

Module 2: Operating with Signed Numbers

Topic 1: Adding and Subtracting Rational Numbers

MATHbookLesson 1: Math FootballFloats and Anchors
MATHbookLesson 2: Walk the LineMore Floats and Anchors
MATHbookLesson 4: What’s the Difference?More Floats and Anchors

Topic 5: Rewriting Expressions

MATHiaLesson 2: Evaluating Simple Numberic Expressions with IntegersInteger Puzzles

Topic 6: Using Number Properties to Interpret Expressions with Signed Numbers

MATHiaLesson 2: Operating with Signed DecimalsDraw Your Own

Module 3: Reasoning Algebraically

Topic 1: Two-Step Expressions and Equations

MATHbookLesson 4: Formally YoursKeeping it True

Topic 2: Multiple Representations of Equations and Inequalities

MATHbookLesson 3: Solving Inequalities with Inverse OperationsUnbalanced Hangers
MATHbook
Lesson 4: Deep Dive
Budgeting
Write Them and Solve Them

Topic 1: Rewriting Algebraic Expressions

MATHiaLesson 2: Rewriting Algebraic Expressions Involving Integer CoefficientsCollect the Squares

Topic 8: Solving Inequalities with Inverse Operations

MATHiaLesson 3: Solving Two-Step InequalitiesI Saw the Signs
Shira the Sheep

Module 4: Analyzing Populations and Probabilities

Topic 1: Introduction to Probability

MATHbookLesson 1: Rolling, Rolling, Rolling…How Likely
Prob-bear-bilities
MATHbookLesson 2: Give the Model a ChanceIs It Fair?

Topic 3: Drawing Inferences

MATHbookLesson 2: Tiles, Gumballs, and PumpkinsCrab Island

Module 5: Constructing and Measuring

Topic 1: Angles and Triangles

MATHbookLesson 2: Special DeliveryFriendly Angles
MATHbookLesson 3: Consider Every SideCan You Build It

Topic 1: Special Angle Relationships

MATHiaLesson 2: Exploring Angle RelationshipsMissing Measures
MATHiaLesson 3: Solving for Angle MeasuresMissing Measures

Grade 8

Module 1: Transforming Geometric Objects

Topic 1: Rigit Motion Transformaitons

MATHbookLesson 1: Patty Paper, Patty PaperTransformers
MATHbookLesson 2: Slides, Flips, and SpinsSpinning, Flipping, Sliding
MATHbookLesson 3: Lateral MovesGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 4: Mirror, MirrorGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLasson 5: Half Turnsa and Quarter TurnsGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 6: Every Which WayTransformation Golf

Topic 2: Dilations

MATHbookLesson 1: Pinch-Zoom GeometrySketchy Dilations
MATHbookLesson 2: Rising, Running, Stepping, ScalingDilation Mini Golf
MATHbookLesson 3: From Here to ThereSocial Scavenger Hunt

Topic 3: Line and Angle Relationships

MATHbookLesson 2: Crisscrsoss ApplesaucePuzzling It Out

Topic 1: Rigid Motion in the Coordinate Plane

MATHiaLesson 1: Experimenting with Rigid MotionMoving Day

Module 2: Modeling Linear Relationships

Topic 1: From Proportions to Linear Relationships

MATHbookLesson 2: Jack and Jill Went Up the HillTurtle Time Trials
MATHbookLesson 4: Up, Down, and All AroundTranslations

Topic 2: Modeling Linear Relationships

MATHbookLesson 2: Been There, Done That, Got the T-shirtWater Cooler
MATHbookLesson 3: Dining, Dancing, DrivingFlags
Ups and Downs
MATHbookLesson 4: Derby DayStacking Cups (Optional)

Topic 3: Systems of Linear Equations

MATHbookLesson 1: Crossing PathsMake Them Balance
MATHbookLesson 2: The Road Less TraveledLine Zapper

Topic 11: Solving Linear Equations with Variables on Both Sides

MATHiaLesson 3: Solving with Variables on Both Sides with RationalsEquation Roundtable

Module 3: Developing Function Foundations

Topic 1: Introduction to Functions

MATHbookLesson 1: Patterns, Sequences, Rules…Guess My Rule
MATHbookLesson 2: Once Upon a GraphTurtle Crossing
MATHbookLesson 4: Over the River and Through the WoodsThe Tortoise and the Hare
Scatter Plot City
Interpreting Slopes

Topic 2: Patterns in Bivariate Data

MATHbookLesson 1: Pass the SqueezeRobots
MATHbookLesson 2: Off the ChainDapper Cats
MATHbookLesson 3: Mia is Growing Like a WeedFind the FIt (called Fit Fights in Desmos Math)
MATHbookLesson 4: The Stroop TestInterpreting Scatter Plots
MATHbookLesson 5: Would You Rather…?Finding Associations

Topic 4: Drawing Lines of Best Fit

MATHiaLesson 1: Estimating Lines of Best FitInterpreting Slopes
MATHiaLesson 2: Using Lines of Best FitAnimal Brains

Module 4: Expanding Number Systems

Topic 2: Pythagorean Theorem

MATHbookLesson 1: The Right ConnectionTriangle Tracing Turtle
MATHbookLesson 4: Catty CornerTaco Truck

Topic 1: The Real Number System

MATHiaLesson 2: Graphing Real Numbers on the Number LineRoot Down

Module 5: Applying Powers

Topic 1: Exponents and Scientific Notation

MATHbookLesson 1: It’s a Generational ThingCircles
MATHbookLesson 2: Show What You KnowPower Pairs
MATHbookLesson 3: The Big and Small of ItSpecific and Scientific (formerly Solar System)
MATHbook
Lesson 4: How Much Larger?
Balance the Scale

Topic 2: Volume of Curved Figures

MATHbookLesson 1: Drum Roll, Please!Cylinders
MATHbookLesson 2: Conse of SilenceCones

Algebra 1

Module 1: Searching for Patterns

Topic 1: Quantities and Relationships

Lesson 3: f of x, Recognizing Functions and Function FamiliesCraft-a-Graph
Pumpkin Prices

Topic 2: Sequences

Lesson 1: Is there a Pattern Here?Visual Patterns
Revisiting Visual Patterns, Part 1
Lesson 2: The Password is Operations!Sequence Carnival
Revisiting Visual Patterns, Part 2
Lesson 3: Did You Mean: Recursion?More Visual Patterns

Topic 3: Linear Regressions

Lesson 1: Like a GlovePenguin Populations
Lesson 2: Gotta Keep It Correlatin’Correlation Coefficient
How Hot Is It?
Behind the Headlines
City Data
Lesson 3: The Residual EffectResidual Fruit
Lesson 4: To Fit or Not To Fit? That Is the Question!City Slopes

Module 2: Exploring Constant Change

Topic 1: Linear Functions

Lesson 1: Connecting the DotsPlane, Train, and Automobile

Topic 2: Solving Linear Equations and Inequalities

Lesson 1: Strike a BalanceWorking Backwards
Solving Strategies
Same Position
Lesson 2: It’s Literally About Literal EquationsSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 3: Not All Statements Are Made EqualPizza Delivery

Topic 3: Systems of Equations and Inequalities

Lesson 1: Double the FunShape It Up
Lizard Lines
Lesson 3: Throwing ShadeSeeking Solutions
Lesson 4: Working with ConstraintsQuilts

Module 3: Investigating Growth and Decay

Topic 1: Introduction to Exponential Functions

Lesson 2: The Power WithinCarlos’s Fish

Topic 2: Using Exponential Equations

Module 4: Describing Distributions

Topic 1: One-Variable Statistics

Lesson 2: A Skewed RealityFinding Desmo

Module 5: Maximizing and Minimizing

Topic 1: Introduction to Quadratic Functions

Lesson 1: Up and Down or Down and UpQuadratic Visual Patterns
On the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 2: Endless Forms Most BeautifulParabola Zapper
Two for One
Shooting Stars
Lesson 4: You Lose Some, You Lose SomeSorting Relationships

Topic 2: Solving Quadratic Equations

Lesson 4: The Missing LinkSquare Tactic
Lesson 5: The Quadratic FormulaStomp Rockets in Space

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Illustrative Mathematics-NEW

To view this protected page, enter the password below:



i-Ready Classroom-NEW

To view this protected page, enter the password below:



Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsAmplify Classroom
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 10: Renata’s Stickers

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2
Lesson 4: Fruit Lab
Lesson 5: Defining Equivalent RatiosUnit 2
Lesson 1: Pizza Maker
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2
Lesson 10: Disaster Preparation

Unit 3: Rates and Percentages

Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 3
Lesson 6: Soft Serve
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 6: Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 9: Lucky Duckies
Lesson 13: Benchmark percentagesUnit 3
Lesson 9: Lucky Duckies
Topic 5: Let’s Put It to Work 
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 6: Soft Serve

Unit 4: Dividing Fractions

Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4
Lesson 3: Flour Planner 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 6: Fill the Gap

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5
Lesson 1: Dishing Out Decimals
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5
Lesson 13: Movie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6
Lesson 1: Weight for It
Lesson 3: Staying in BalanceUnit 6
Lesson 1: Weight for It
Topic 2: Equal and Equivalent
Lesson 8: Equal and EquivalentUnit 6
Lesson 1: Weight for It
Topic 9: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 7: Rational Numbers

Lesson 1: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7
Lesson 4: Order in the Class
Topic 2: Inequalities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7
Lesson 7: Tunnel Travels
Topic 3: The Coordinate Plane
Lesson 15: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane

Unit 8: Data Sets and Distributions

Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8
Lesson 3: Minimum Wage
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8
Lesson 5: The Plot Thickens
Topic 4: Median and IQR
Lesson 13: MedianUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsAmplify Classroom
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 7: Will It Fit?

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2
Lesson 1: Paint 
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2
Lesson 6: Two and Two
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2
Lesson 6: Two and Two
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 8: Comparing Relationships with EquationsUnit 2
Lesson 6: Two and Two
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2
Lesson 8: Dino Pops

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3
Lesson 8: Toothpicks (coming soon!)
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3
Lesson 3: Measuring Around
Take Away (coming soon!)
Topic 2: Area of a Circle
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3
Lesson 9: Area Challenges
Take Away (coming soon!)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4
Lesson 1: Mosaics
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4
Lesson 12: Posing Percent Problems (coming soon!)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4
Lesson 12: Posing Percent Problems (coming soon!)

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5
Lesson 4: Draw Your Own
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r 
Lesson 1: Relationships Between QuantitiesUnit 2
Lesson 1: Paint
Unit 4
Lesson 1: Mosaics
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6
Lesson 10: Collect the Squares
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6
Lesson 10: Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7
Lesson 2: Friendly Angles
Lesson 4: Solving for Unknown AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 4: Missing Measures
Topic 2: Drawing Polygons with Given Conditions 
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7
Lesson 5: Can You Build It?

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8
Lesson 10: Crab Island
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 
Lesson 10: Crab Island
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8
Lesson 10: Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsAmplify Classroom
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 2: Naming the MovesUnit 1
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Grid MovesUnit 1
Lesson 4: Moving Day
Lesson 4: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 5: Coordinate MovesUnit 1
Lesson 4: Moving Day
Lesson 6: Describing TransformationsUnit 1
Lesson 6: Connecting the Dots (coming soon!)
Topic 2: Properties of Rigid Transformations 
Lesson 8: Rotation PatternsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Topic 3: Slope
Lesson 10: Meet SlopeUnit 3
Lesson 4: Flags

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 3: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 7: Representations of Linear RelationshipsUnit 3
Lesson 4: Flags
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3
Lesson 4: Flags
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 4: Flags
Topic 4: Linear Equations 
Lesson 13: More Solutions to Linear EquationsUnit 3 
Lesson 4: Flags

Unit 4: Linear Equations and Linear Systems

Topic 2: Linear Equation in One Variable 
Lesson 5: Solving Any Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Strategic SolvingUnit 4
Lesson 5: Equation Roundtable
Topic 3: Systems of Linear Equations
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Introduction to FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5
Lesson 5: The Tortoise and the Hare
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 3
Lesson 4: Flags
Lesson 9: Linear ModelsUnit 5
Lesson 5: The Tortoise and the Hare
Topic 4: Cylinder and Cones 
Lesson 13: The Volume of a CylinderUnit 5
Lesson 11: Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5
Lesson 11: Cylinders
Lesson 15: The Volume of a ConeUnit 5
Lesson 13: Cones
Lesson 16: Finding Cone DimensionsUnit 5
Lesson 13: Cones

Unit 6: Associations in Data

Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 
Lesson 3: Robots
Lesson 4: Fitting a LineUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Describing Trends in Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 
Lesson 3: Robots
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6
Lesson 11: Finding Associations
Lesson 10: Using Data Displays to Find associationsUnit 6
Lesson 11: Finding Associations

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 
Lesson 1: Circles
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 
Lesson 3: Power Pairs
Topic 3: Scientific Notation 
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 5: Reasoning about Square RootsUnit 8
Lesson 4: Root Down
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8
Lesson 10: Taco Truck

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Frequently asked questions

Still have questions? We have answers. Check out the following FAQ.

A teacher discusses educational content in front of a whiteboard while students in the classroom raise their hands eagerly.

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California, and a significant number of the Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math, as well as the California English Language Development Standards. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Since Amplify Science California is a blended curriculum, districts who adopt it are outfitted with a variety of print and digital resources as well as hands-on materials kits. To explore the specific components of the program, visit the What’s Included portion of our site.

As our customers will tell you, when you adopt Amplify Science California, you aren’t just buying a science curriculum, you’re joining a family. As such, along with materials, your adoption of Amplify Science California also includes care and support through a variety of staff and resources, including customer support specialists, pedagogical support specialists, implementation specialists, professional learning specialists, educational partnership managers, and more.

Amplify Science California does indeed features some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional cyclical and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

We support both. No one solution works for everyone; therefore, in partnership with the Lawrence Hall of Science, we developed suggested sequences for both the integrated model of instruction and the discipline-specific model. Because it’s our goal to provide districts the maximum amount of flexibility, we’re also happy to support districts interested in implementing a different sequence of instruction.

Yes. Rather than separating Performance Expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain disciplinary core ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and always applied what they’ve learned in a different context.

For example:
In the unit Light Waves, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on disciplinary core ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.
Just as scientists gather evidence from many types of sources, so do students in the Amplify Science California program. Like scientists, students gather evidence from physical models, digital models, texts, videos, photographs, maps, and data sets. By doing do, we provide students more opportunities than any other program to practice using all of the practices called out in the California NGSS Framework.

NGSS 8 Science Practices

  1. Asking questions
  2. Developing and using models
  3. Planning and carrying out investigations
  4. Analyzing and interpreting data
  5. Using mathematics and computational thinking
  6. Constructing explanations
  7. Engaging in arguments from evidence
  8. Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K-5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6-8

Each 6–8 grade features three types of units: Launch, Core, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math—in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Every lesson in Amplify Science California explicitly calls out which CCSS ELA and CCSS Math standards are addressed. That said, this is not a math program, nor an ELA program; therefore, it does not address all of the Common Core standards. But the program does address a significant number of the standards as they pertain to science.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facility with each of the grade-level appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

No. While we do provide suggested sequences for integrated and domain courses, there are other logical ways to sequence the units and we expect that teachers will present the units in a variety of different orders and in any combination. There are a few notable exceptions. For example, students completing the Metabolism Engineering Internship should have completed the Metabolism core unit beforehand, or a unit that provides students with the same information. Amplify Science California specifies prerequisites for each unit in the event that teachers are interested in using an Amplify Science California unit in combination with other materials.

The typical elementary classroom delivers science instruction only two times per week. Yet, most curricula provide 180 days of lessons. Rather than asking teachers to wade through unnecessary content, we designed a program that addresses 100 percent of the NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. With plenty of wiggle room built right into the program, teachers can relax knowing that there’s ample time to get it all done.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, et cetera. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following timeframes:
Grades K-1 lessons are designed for 45 minutes of science instruction.
Grades 2-5 lessons are designed for 60 minutes of science instruction.
Grades 6-8 lessons are designed for 45 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 mins of science instruction every day at K-1, or 60 minutes per day at 2-5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K-2, and 88 lessons to address 100 percent of California NGSS at grades 3-5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Technical questions

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of your digital curriculum products please see Amplify’s customer requirements page.

Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Elk Grove Science K5

To view this protected page, enter the password below:



Getting started with Amplify Science California

Dear Elk Grove K–5 teachers,

Welcome to the Amplify Science California family! Below you’ll find everything you need to successfully kick off your science instruction this year.

– Your California team

Amplify Science - Student reading a book remote & hybrid

Program introduction

Onboarding videos

To start using Amplify Science California quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to quickly start using Amplify Science in your classroom and navigating the digital Teacher’s Reference Guide.

Program pacing

Hands-on materials kit

The following videos give you a quick look into our Amplify Science California classroom kits. For each grade level, you’ll find a “How to unpack your kit” video for the first unit of the program.

Teacher digital resources

Watch this video to understand the basic organization of the digital teacher experience and how to navigate the platform.

Want some practice? Download this exploration guide to practice toggling between teacher view, presentation view, and student view.

Our new digital experience also makes it easy to assign work through our LMS integrations.

Our new digital experience also makes it easy to view student work in real time.

Student digital resources

Watch this video to take a peek at the various student digital resources available to your class.

Use this Student Login Click Path document to support students and families logging in from home.

Essential resources

Your Teacher’s Reference Guide is a tremendously rich resource. It’s also packed! That’s why teachers getting started with Amplify Science love our condensed Unit Guides, lesson planners, and device calendars.

Unit Guides

These short and sweet guides provide a big picture overview of each unit’s phenomenon and storyline, the key questions that guide learning, and how the storyline develops from chapter to chapter. We even spoil the big reveal at the end by pointing out ahead of time what students figure out throughout the unit.

A laptop displays an educational website titled "The Earth System" with lesson modules; a printed Teacher’s Guide with a similar cover design is shown beside it.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Lesson planners

Our lesson planners give you easy access to direct links to key resources within the program.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Teacher-provided materials

Your Amplify Science classroom kit includes a wide variety of consumable and non-consumable items. In fact, each kit contains enough non-consumables to support a class of 36 students working in small groups, and enough consumables to support 72 student uses.

In addition to these provided items, there are some teacher-provided items required in each unit. For a consolidated list of teacher-provided items per unit, download the appropriate PDF below.

Device calendars

Our at-a-glance device calendars make device management and sharing between grade-level colleagues a breeze. With one calendar per unit (beginning in grade 2), you can easily see which lessons utilize devices.

Approach to assessment

The Amplify Science California assessment system is grounded in the principle that students benefit from regular and varied opportunities to demonstrate understanding through performance. In practice this means that conceptual understanding is revealed through engagement in the science and engineering practices.

Assessment types at a glance

In your classroom, you’ll be utilizing a variety of formative (F) and summative (S) assessments:

  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.
  • Pre-Unit Assessments (F): Discussion, modeling, and written explanations to gauge students’ knowledge.
  • On-the-Fly Assessments (OtFA) (F): Multi-dimensional tasks integrated regularly throughout the lessons. OtFA opportunities were designed to help teachers make sense of student activity during a learning experience (e.g., student-to-student talk, writing, and model construction) and to provide evidence of how a student is coming to understand core concepts and developing dexterity with SEPs and CCCs. Three-dimensional assessment opportunities make measuring progress toward NGSS learning goals possible.
  • Self-assessments (F): One per chapter; brief opportunities for students to reflect on their own learning, ask questions, and reveal ongoing wonderings about unit content.
  • Critical Juncture Assessments (F): Variety of multidimensional performance tasks intended to assess student progress, occurring at the end of each chapter. Examples include writing scientific explanations, engaging in argumentation, developing and using models, and designing engineering solutions. Based on student performance on the assessment, teachers have access to recommendations for targeted student interventions, suggested follow-ups, or differentiating classroom instruction.
  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.

Pre-Unit Assessments

Most Pre-Unit assessments are embedded within an activity of the first lesson of a unit. In kindergarten and grade 1, the Pre-Unit assessment (as well as the End-of-Unit assessment) is oral. In grades 2–5 they are typically written. Refer to the Digital Resources area of the Lesson Brief for materials needed for the assessment activity, such as the Clipboard Assessment Tool (K–1 only), copymasters (grades 2–5 only), and an Assessment Guide that will help you interpret and leverage students’ responses.

If you and your students have Interactive Classroom licenses, students can complete their assessment digitally instead of using the copymaster.

When students complete the assessment pages digitally, you’ll be able to review their work on the View Work page.

Critical Juncture Assessments

Critical Juncture assessments typically occur towards the end of each chapter. The Materials and Preparation section will indicate when there is a Critical Juncture to prepare for, but you can also tell when an activity is designed to be a Critical Juncture assessment by the hummingbird icon that will appear within it. Selecting the hummingbird icon will tell you how to assess students’ understanding with the activity, and how to tailor instruction based on what you find. If you need guidance on the “answers” to the assessment activity, refer to the “Possible Responses” tab.

If you are using Classroom Slides or Interactive Classroom, you’ll see a hummingbird or “Critical Juncture” label in the bottom right corner of one of the slides of the activity.

The notes about assessing understanding and tailoring instruction are located in the notes of that slide (on the right-hand side of the Teacher’s Guide tab in the Interactive Classroom experience; underneath the slide in Classroom Slides).

End-of-Unit Assessments

End-of-Unit assessments are typically the last lesson of a unit. In some units, these are two-part assessments that take place over two lessons. The easiest way to find the End-of-Unit assessment is to skim through the lesson titles. Lessons containing End-of-Unit assessments will always have that noted in the title.

Like the Pre-unit assessment, you can find materials for the End-of-unit assessments in the Digital Resources area of the Lesson Brief.

On-the-Fly Assessments

These embedded assessments leverage the formative opportunities in the learning experience students are already engaged in, such as creating models, analyzing data, actively reading, conducting investigations, and more. Refer to the Critical Juncture section above for guidance on finding information about using them.

Unit-level assessment information

You can find overall information about an individual unit’s assessments in the “Assessment System” resource, which is located within the Teacher References section on the Unit Overview page.

The Assessment System resource contains a comprehensive list of all of the assessment opportunities in the unit, including the assessment’s location, a brief indication of what students are doing in that particular activity, what type of assessment it is, which Disciplinary Core Ideas, science and engineering practices, and cross-cutting concepts it specifically addresses, and the kind of evaluation guidance you can expect for it. If you are in a kindergarten or first grade unit, you will also find information on the Clipboard Assessment Tool (used for supporting oral assessment) in this section.

If you’re interested in focusing on information related to the unit’s Critical Juncture and On-the-Fly assessments in particular, check out the “Embedded Formative Assessments” resource, also located within the Teacher References section on the Unit Overview page.

Three-dimensional assessment connections

All assessment opportunities within Amplify Science California include clear labeling around the Disciplinary Core Ideas (DCIs), Crosscutting Concepts (CCCs), and Science and Engineering Practices (SEPs) to help teachers connect formative and summative assessments to specific NGSS dimensions.

Coming soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. In fact, on this page is a list of new features you can look forward to using during the 2023-2024 school year.

FAQs

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California and a significant number of the California English Language Development Standards and Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Amplify Science California does indeed feature some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional, cyclical, and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

Yes. Rather than separating performance expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain Disciplinary Core Ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and applied what they’ve learned in a different context.

For example:
In the Light Waves unit, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on Disciplinary Core Ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.

Just as scientists gather evidence from many types of sources, students in the Amplify Science California program gather evidence not just by making physical models, but also by making and interpreting digital models; reading texts; watching videos; and analyzing photographs, maps, and data sets. By doing do, students are provided with more opportunities than any other program to use all of the practices called out in the California NGSS Framework:

  • Asking questions
  • Developing and using models
  • Planning and carrying out investigations
  • Analyzing and interpreting data
  • Using mathematics and computational thinking
  • Constructing explanations
  • Engaging in arguments from evidence
  • Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K–5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6–8

Each 6–8 grade features three types of units: LaunchCore, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math, in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facilities with each of the grade appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built-in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, etc. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following time frames:
Lessons in grades K–1 are designed for 45 minutes of science instruction.
Lessons in grades 2–5 are designed for 60 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 minutes of science instruction every day at K–1, or 60 minutes per day at 2–5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K–2, and 88 lessons to address 100 percent of California NGSS at grades 3–5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Each lesson of every Amplify Science California unit includes point-of-use differentiation strategies and embedded teacher and student supports for diverse learners, including English learners, students who need more support, and students who are ready for more challenge. These strategies and methods ensure that all students have access to the same content as their peers.

Two notable categories of suggested modifications are:

  • English-learner-specific strategies such as English/Spanish glossaries, native language supports, and provision of cognates and other content-specific language scaffolds are provided in each unit.
  • Relatively small alterations and additional scaffolds that provide students with greater access to the content.
    These types of scaffolds benefit all learners and include suggestions such as providing graphic organizers, practice with multiple-meaning words, etc.

With Amplify Science California, the use of technology is always purposeful.

For example:

  • The curriculum has a strong emphasis on literacy, with students reading and analyzing informational texts, and writing scientific explanations and arguments.
  • Digital elements are gradually introduced to students in grades 2–3, with the greatest use of digital elements taking place in grades 4–5, as the phenomena at these grades become more challenging to observe directly.
  • The curriculum’s readers and interactive notebook pages are available in both print and digital across all K–5 units.

This curriculum addresses a significant number of the standards as they pertain to science. Throughout each unit, students read science texts, engage in science talk and argumentation, and write evidence-based science explanations. The curriculum supports vocabulary, language, and reading comprehension development. Students also use measurement tools with precision, record and analyze data, make sense of scientific phenomena, and develop solutions to problems experienced in the real world.

Digital questions

Teacher Support notes including sample teacher talk, student responses, pedagogical support, and possible student responses are provided within your student-facing slides. Simply click “Teach” and reference your private Teacher Guide tab. Students will only see the lesson slides that you are presenting.

You, the teacher, must “Start class” to launch the presentation tab. (Remember, without the presentation tab, students would be able to see your teacher notes.)

Clicking “Starting class” also brings students to the correct slide, which is particularly important for young students who are learning to navigate.

Teachers can either press the “End class” button in the bottom right corner of the slide navigation, or they can simply close the presentation tab.

Clicking “End class” also enables students to navigate through the lesson on their own. That means they’ll be able to return to slides and books to review content, to the Sims and Modeling Tools to replay them, or to notebook pages to update their work.

You can click on the “Student preview” option in the bottom right corner (within the menu that opens when you click the three dots) to open a new browser tab where you can preview the student view using your teacher account.

Any work you complete in this student preview (or elsewhere in the teacher experience) will be automatically saved to your account.

Looking for help?

For login or technology issues, please submit an EGUSD Heat ticket. For curriculum and pedagogical questions, please refer to the support resources below.

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

To reach our pedagogical team, use our live chat within your program, call (800) 823-1969, or email edsupport@amplify.com

Timely technical and program support

Our technical and program support is included and available from 4 a.m. to 4 p.m. PT, Monday through Friday, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

For your most urgent questions:

  • Use our live chat within your program.
  • Call our toll-free number: (800) 823-1969.

For less urgent questions:

Connect with other teachers

Our Amplify Science Facebook group is a community of Amplify Science educators from across the country. It’s a space to share best practices, ideas, and support on everything from implementation to instruction. Join today.

How we build inclusive, high-quality programs

At Amplify, we support teachers in delivering inspiring, impactful lessons that celebrate and develop the thinking of all their students. We build our inclusive, high-quality programs by partnering with editorial and accessibility experts.

Editorial

Amplify has a dedicated Editorial Team that partners with product teams, subject matter experts, and an internal advisory Editorial Board to ensure that our products meet Amplify’s high standards for quality and embody our purpose and commitment. Through multiple rounds of product review, the Editorial Team coordinates input from internal and external experts and advisors to ensure that Amplify’s materials are engaging, rigorous, and accurate. The Editorial Team also makes certain that all materials are age-appropriate for students and align with current or pending state, district, and other policies.

Our approach to accessibility

Amplify creates products that serve the needs of all learners, including those with disabilities. We refine our practices regularly and incorporate feedback from our users and accessibility experts.

Amplify works with third-party experts in digital accessibility to help ensure that we build and maintain our products in accordance with the latest Web Content Accessibility Guidelines (WCAG) and other relevant legal requirements. How we do it:

  • Integrated accessibility practices: We embed accessibility considerations into our product development lifecycles. We also implement training and vendor management programs that support compliance with applicable standards, guidelines, and best practices.
  • Structured, accessible content: We create well-structured, easily navigable content that meets diverse user needs, including clear, readable text, properly labeled multimedia, and logical organization of information.
  • Development and testing for accessibility: We work with third-party experts to conduct assessments against accessibility standards and develop remediation plans if deficiencies are identified. Our internal quality assurance protocols include scenarios that test functionality for users with disabilities.
  • Comprehensive training and support: We provide continuous training and resources for team members involved in developing our products to help them understand and implement accessibility requirements. This includes training on the latest WCAG guidelines and updates on industry and legal standards.
  • Inclusive design patterns: We prioritize accessible design patterns to create interfaces that are intuitive for users.

In addition, all student-facing print components are available in the National Instructional Materials Access Center (NIMAC) database, and all student-facing PDFs in Amplify curriculum are formatted to be compatible with screen readers.

If you want to provide feedback about the accessibility of Amplify’s products or this website, or if you want to discuss accommodations to help you use our products or this website, please contact help@amplify.com or +1 (800) 823-1969 (hours: 7 a.m.–7 p.m. ET).

Learn more about the impact of our programs.

Amplify’s high-quality programs benefit millions of students every day using methods that are evidence-based, ESSA-aligned, and showing efficacy in a variety of contexts. Read more about our programs in the following case study and report.

Case study: Making an impact with Aldine ISD

Aldine Independent School District serves 62,000 students in Texas. Forty-two percent are English language learners, and more than 90 percent are economically disadvantaged. After two years of using Amplify’s early literacy suite, the number of Aldine ISD elementary students reading at or above grade level rose from 30 percent to 50 percent.

Report: Advancing Spanish literacy with Boost Lectura

Boost Lectura is proven to support Spanish literacy skills critical for reading development. Students who used Boost Lectura for 30–45 minutes a week outperformed their peers on universal screening assessments of Spanish literacy across grades K–2—and were more likely to meet or exceed benchmarks by the middle of the school year.

Alert: Progress in early literacy is slowing.

The latest middle-of-school-year data from Amplify show that throughout the spring and fall of 2023, schools across the country made some progress increasing the number of K–2 students on track for learning to read. But that progress is slowing.

Between 2021–2022 and 2022–2023, the number of K–2 students on track for learning to read increased by four to five percent across all grades; however, between 2022–2023 and 2023–2024, the increase was only two percent in each grade. Yet this is not the time for slow progress, because literacy rates in the United States are already a concern. Only half of K–2 students are on track for learning to read, and three in ten students are far behind.

To address slowing gains, schools and districts need to act now to accelerate literacy outcomes.

Early reading: Why we need to act now

The decline is especially urgent for students in kindergarten through the second grade. That’s because of what comes next: third grade, known to be the make-or-break year for reading and future academic success. To put it bluntly, students who are not proficient in reading before entering fourth grade are much more likely than their peers to struggle in school, and they are much more likely to drop out.

“The data is clear—literacy rates at the earliest and most critical time for student development are slowing. Changing this course requires schools and districts to act now and review their approaches in all grades,” says Susan Lambert, chief academic officer of elementary humanities at Amplify. “Schools that deliver strong outcomes focus on building a solid foundation at the start and intervening quickly when students need extra support, rather than trying to play catch up later, when it can be more difficult.”

The good news: We know what to do.

When students receive science-based reading instructionliteracy outcomes improve.

Changing these outcomes requires that districts and schools review the processes and practices they have in place at all levels. Schools that deliver strong outcomes focus on getting students on track—and often ahead—in the earliest grades, because it’s easier to get students ahead from the beginning than to catch them up later.

Districts should:

  • Administer universal screening assessments three times per year to monitor levels of risk for reading difficulties.
  • Allocate staff to support students who are at risk, spending additional time in literacy instruction beyond grade-level instruction.
  • Regularly monitor progress for students who are at risk, making adjustments as needed.
  • Ensure that instructional staff gain knowledge about science-based reading instruction and implement high-quality core curriculum with fidelity.
  • Instill a love of reading and books during all school-based programs, with the support of caregivers and the community.

“The good news is that when students receive science-based reading instruction, outcomes improve,” Lambert continues. “And, when that instruction takes place in the earliest possible grades, research shows that most students can be taught to read at or approaching grade level.”

Read the full report.

More to explore

Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

With just over half of young readers on track and year-over-year gains flattening, the latest research brief underscores the urgency of data-driven instruction:

  • 57% of K–2 students overall are on track to learn to read.
  • Year-over-year improvement from 2024–25 to 2025–26 ranged from zero to two percentage points across grades K–2; the youngest students made the most progress.
  • Middle-of-year data is uniquely positioned to help schools plan for instructional changes and implement those changes before the following school year. See our recommendations for schools and districts concerned about changing literacy outcomes.
An adult helps a child read a book at a table. The child is writing, and the adult is smiling. The setting resembles a classroom, with windows in the background.

Explore Amplify’s middle-of-year research brief.

Bar chart showing the percent of kindergarten students on track by year, ranging from 38% to 57%, with the highest value at 57% and the lowest at 38%.

Kindergarten at middle-of-year

57% of kindergarten students are on track to learn to read, two percentage points higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 1 students on track, with values 58, 44, 48, 52, 54, 55, and 56 percent, all below 60%.

First grade at middle-of-year

56% of first grade students are on track to learn to read, one percentage point higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 2 students on track, ranging from 52% to 60%, with an upward trend peaking at 58%.

Second grade at middle-of-year

58% of second grade students are on track to learn to read, no change from 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Research briefs by school year

October 2024

BOY: Summer instructional loss highlights the importance of quality core instruction for the youngest grades.

Read the brief

October 2025

BOY: More students start the school year on track for learning to read, though momentum is slow.

Read the brief

February 2025

MOY: Early literacy gains offer hope for COVID recovery, though broader literacy challenges persist nationwide.

Read the brief

February 2026

MOY: Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

Read the brief

July 2025

EOY: Reading scores rise overall; gender disparities present a complex picture.

Read the brief

Read more research and case studies.

Amplify’s high-quality programs benefit millions of students every day using methods that are evidence-based, ESSA-aligned, and showing efficacy in a variety of contexts. Read more research and case studies and see more briefs on early literacy.

How we build our high-quality programs

At Amplify, we support teachers in delivering inspiring, impactful lessons that celebrate and develop the thinking of all their students. We build our high-quality programs by partnering with editorial and accessibility experts.

A group of people sit around a conference table with laptops. A woman stands at the front, presenting information displayed on a large screen.
Decorative image

Editorial

Amplify has a dedicated Editorial Team that partners with product teams, subject matter experts, and an internal advisory Editorial Board to ensure that our products meet Amplify’s high standards for quality and embody our purpose and commitment. Through multiple rounds of product review, the Editorial Team coordinates input from internal and external experts and advisors to ensure that Amplify’s materials are engaging, rigorous, and accurate. The Editorial Team also makes certain that all materials are age-appropriate for students and align with current or pending state, district, and other policies.

Our approach to accessibility

Amplify creates products that serve the needs of all learners, including those with disabilities. We refine our practices regularly and incorporate feedback from our users and accessibility experts.

Amplify works with third-party experts in digital accessibility to help ensure that we build and maintain our products in accordance with the latest Web Content Accessibility Guidelines (WCAG) and other relevant legal requirements. How we do it:

Decorative image
  • Integrated accessibility practices: We embed accessibility considerations into our product development lifecycles. We also implement training and vendor management programs that support compliance with applicable standards, guidelines, and best practices.
  • Structured, accessible content: We create well-structured, easily navigable content that meets diverse user needs, including clear, readable text, properly labeled multimedia, and logical organization of information.
  • Development and testing for accessibility: We work with third-party experts to conduct assessments against accessibility standards and develop remediation plans if deficiencies are identified. Our internal quality assurance protocols include scenarios that test functionality for users with disabilities.
  • Comprehensive training and support: We provide continuous training and resources for team members involved in developing our products to help them understand and implement accessibility requirements. This includes training on the latest WCAG guidelines and updates on industry and legal standards.
  • Inclusive design patterns: We prioritize accessible design patterns to create interfaces that are intuitive for users.
  • Student-facing print components: All student-facing print components are available in the National Instructional Materials Access Center (NIMAC) database, and all student-facing PDFs in Amplify curriculum are formatted to be compatible with screen readers.

To provide feedback about the accessibility of Amplify’s products or this website, or to discuss accommodations to help you use our products or this website, please contact the customer care and support team or +1 (800) 823-1969 (hours: 7 a.m.–7 p.m. ET).

Decorative image

Learn more about the impact of our programs.

Amplify’s high-quality programs benefit millions of students every day using methods that are evidence-based, ESSA-aligned, and showing efficacy in a variety of contexts. Read more about our programs in the following case study and report.

Case study: Making an impact with Aldine ISD

Aldine Independent School District serves 62,000 students in Texas. Forty-two percent are English language learners, and more than 90 percent are economically disadvantaged. After two years of using Amplify’s early literacy suite, the number of Aldine ISD elementary students reading at or above grade level rose from 30 percent to 50 percent.

Children sitting at their desks in a classroom, listening attentively. Open notebooks and pencils are on the desks.
Students in a classroom work on laptops with headphones on, while a teacher stands by their side, smiling and helping them.

Report: Advancing Spanish literacy with Boost Lectura

Boost Lectura is proven to support Spanish literacy skills critical for reading development. Students who used Boost Lectura for 30–45 minutes a week outperformed their peers on universal screening assessments of Spanish literacy across grades K–2—and were more likely to meet or exceed benchmarks by the middle of the school year.

Dyslexia: Early screening for risk

Dyslexia is one of the most common forms of learning disability, with some estimates suggesting that it may affect more than 17 percent of school-age students (Shaywitz, 2004). Although there are many different forms of reading difficulty, dyslexia is primarily characterized by difficulty in word-level reading ability, often due to deficits in automaticity or phonological processing.

Universal screening is an essential practice for identifying reading difficulties in the early grades, including characteristics of dyslexia. According to the International Dyslexia Association (IDA), early identification of reading difficulties helps get students the support they need and prevents further difficulty.

Amplify’s universal and dyslexia screening in one too

Measure what matters 

mCLASS® with DIBELS 8th Edition® provides a formative assessment solution that supports the identification of students at risk for reading difficulties, including difficulty related to dyslexia. DIBELS 8th Edition was developed by the University of Oregon with the primary focus of ensuring that the measures are able to meet state-level dyslexia screening requirements.

How mCLASS identifies students at risk of dyslexia

When screening for risk, nothing can replace the power of listening to a child read—listening to their strengths as a reader AND their struggles. 

With mCLASS, teachers administer predictive one-minute assessment measures that involve listening to students interact with sounds, letters, words, and text while screening for reading difficulties.

They will document all behaviors simultaneously on a mobile device. Accurate, efficient collection of data allows for immediate analysis that results in a clear identification of risk, not only for reading difficulty but also for dyslexia. 

Research and statistics

Identifying at-risk students: What comes next?

“90 percent of students who struggle in third grade will continue to struggle at the end of elementary school if they do not receive intervention.

Research and statistics about dyslexia in early literacy

Identifying at-risk students: What comes next?

“74 percent of students who are poor readers in third grade will be poor readers in ninth grade, and, in general, have a higher risk of academic failure and school dropout. ”

Research and statistics about dyslexia in early literacy

Identifying at-risk students: What comes next?

“According to a 2015 National Assessment of Educational Progress study, only 35 percent of fourth-grade students were proficient in reading. Most of these children will spend the rest of their time in school trying to catch up. ”

Research and statistics about dyslexia in early literacy

Dyslexia toolkit
This toolkit offers answers for educators looking to learn about dyslexia and how to screen for it.

Download the toolkit

mClass solutions

mCLASS Instruction

mCLASS Instruction provides teachers with a single view of the personalized, blended instruction (teacher-led and online) that is available to support individual student or small-group needs in skill areas directly assessed in the mCLASS assessment. 

Employ teacher-led instruction for whole classes, small-groups, and individual students, including activities created by Susan Hall, author of I’ve DIBEL’d, Now What, are provided for skill practice.

Additional instructional resources for comprehension include grade-level passages that provide more practice.

Boost Reading

Get online student instruction and practice with Boost Reading, which places students in a personalized instruction path based on mCLASS assessment data and adapts based on progress in the curriculum. Students engage with skills-based games as well as an eReader.

mCLASS intervention

Receive rigorous, teacher-led intervention with mCLASS Intervention to address students most in need of support.

mCLASS Home Connect

Teachers can download a letter with student assessment results to send home to parents

and guardians, or use as a basis for discussion at conferences. Home Connect letters describe how the measures relate to skills development. Progress bars indicate the student’s performance on each measure.

Home Connect extends reporting to parents and guardians in a way that is easily understood and provides suggestions for positive action.

Request a demo

Simply complete the form to request a demo, and an Amplify sales representative will be in touch.

Early reading data reveal progress overall, with varying outcomes for boys and girls 

BROOKLYN, NY (July 2, 2025) – Amplify, a publisher of next-generation curriculum and assessment programs, today released a research brief on the latest K–2 end-of-school-year literacy data. Findings suggest that overall, more young students are on track to learn to read and fewer are behind than during the pandemic—8 percent more second graders, 14 percent more first graders, and 21 percent more kindergartners are at or above benchmark compared to the 2020-21 school year. 

However, year-over-year improvements have slowed. Since the 2023-24 school year, the percentage of students on track has only improved by 1-2 points in each grade.

The data also show a nuanced picture of gender disparities in early reading. Across K–2, boys score the same or better than girls in reading readiness at the beginning of the year. But as the year progresses, girls show more improvement than boys, narrowing gaps and sometimes outperforming them by the end of the year.

“Five years out from the pandemic, we’re seeing encouraging signs that early literacy recovery is taking hold as more students across all early grades are on track to learn to read, with kindergarteners and first graders leading the recovery,” said Paul Gazzerro, director of customer data at Amplify.

Despite these successes, literacy trends across the United States remain a concern, as year-over-year progress remains slow. 

“Grades K–2 remain critical years for literacy development,” said Susan Lambert, chief academic officer of elementary humanities at Amplify. “To support young readers, educators need data-driven insights into student reading development and instructional practices that are based in the Science of Reading.” 

Amplify encourages districts and schools to analyze end-of-year data by school, grade, and classroom, and create integrated plans that:

  • Administer benchmark assessments three times per year to monitor levels of risk for reading difficulties. 
  • Analyze student data and make informed decisions to support students who are at risk for not learning to read.
  • Allocate additional instructional time and resources for at-risk students.
  • Regularly monitor progress for students, making adjustments as needed.
  • Ensure all students receive instruction that is evidence-based. 
  • Instill a love of reading during school programs, with caregiver and community support.

About Amplify

A pioneer in K–12 education since 2000, Amplify is leading the way in next-generation curriculum and assessment. Our core and supplemental programs in ELA, math and science engage all students in rigorous learning and inspire them to think deeply, creatively and for themselves. Our formative assessment products help teachers identify the targeted instruction students need to build a strong foundation in early reading and math. All of our programs and services provide educators with powerful tools that help them understand and respond to the needs of every student. Today, Amplify serves more than 15 million students in all 50 states and on six continents. For more information, visit Amplify.com.

Media Contact: Kristine Frech; media@amplify.com

Families and caregivers, welcome to Amplify Desmos Math California
6–12!

Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Ilustración de una persona en silla de ruedas con un casco que dirige la colocación de una pieza triangular, rodeada de símbolos matemáticos.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

  • Coming soon!
  • Coming soon!

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
  • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

Unit 6

  • Sub-Unit 1 – Drawing Perpendicular Bisectors
  • Sub-Unit 2 – Determining Coordinates After a Rotation
  • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

Unit 7

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Access Amplify Desmos Math California at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math California? Visit our Help Library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Grade 6

Unit 1: Area and Surface Area

Lesson 2: Finding Area by Decomposing and RearrangingShapes on a Plane
Lesson 3: Reasoning to Find AreaLetters
Lesson 4: ParallelogramsExploring Parallelograms, Part 2
Lesson 5: Bases and Heights of ParallelogramsExploring Parallelograms, Part 1
Lesson 6: Areas of ParallelogramsOff the Grid, Part 1
Lesson 7: From Parallelograms to TrianglesTriangles and Parallelograms
Lesson 8: Areas of TrianlgeExploring Triangles
Lesson 10: Bases and Heights of TrianglesOff the Grid, Part 2
Lesson 11: PolygonsPile of Polygons
Lesson 15: More Nets, More Surface AreaRenata’s Stickers

Unit 2: Introducing Rations

Lesson 3: RecipesPizza Maker
Lesson 5: Defining Equivalent RatiosFruit Lab
Lesson 12: Navagating a Table of Equivalent RationsDisaster Preparation

Unit 3: Unit Rates and Percentages

Lesson 1: Anchoring Units of MeasureMany Measurements
Lesson 4: Comparing Speeds and PriceWorld Records
Lesson 5: Interpreting RatesSoft Serve
Lesson 6: Equivalent Ratios Have the Same Unit RatesWelcome to the Robot Factory
Lesson 8: Solving Rate ProblemsMore Soft Serve
Lesson 9: More about Constant SpeedModel Trains
Lesson 11: Representing Percentages with Double Number Line DiagramsLucky Duckies

Unit 4: Dividing Fractions

Lesson 4: How Many Groups? (Part 1)Flour Planner
Lesson 6: Using Diagrams to Find the Number of GroupsFill the Gap
Lesson 13: Rectangles with Fractional Side LengthsPuzzling Areas

Unit 5: Arithmetic in Base 10

Lesson 1: Using Decimals in Shopping ContextDishing Out Decimals

Unit 5: Arithmetic in Base 11

Lesson 2: Using Diagrams to Represent Addition and SubtractionDecimal Diagrams and Algorithms

Unit 5: Arithmetic in Base 12

Lesson 15: Making and Measuring BoxesMovie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and EquationsFive Equations
Weight for It
Lesson 3: Staying in BalanceHanging Around
Lesson 4: Practice Solving EquationsHanging It Up
Lesson 5: Represent Situations with EquationsSwap and Solve
Lesson 9: The Distributive Property: Part 1Products and Sums
Lesson 17: Two Related Quantaties, Part 2Subway Fares

Unit 7: Rational Numbers

Lesson 3: Comparing Positive and Negative NumbersOrder in the Class
Lesson 5: Using Negative Numbers to Make Sense in ContextMinimum Wage
Lesson 8: Writing and Graphing InequalitiesTunnel Travels

Unit 8: Data Sets and Distributions

Lesson 5: Using Dot Plots to Answer Statistical QuestionsMinimum Wage
Lesson 6: Interpreting HistogramsThe Plot Thickens
Lesson 11: Variability and MADHoops
Lesson 13: MedianToy Cars

Grade 7

Unit 1: Scale Drawing

Lesson 1: What are scaled copies?Scaling Machines
Lesson 2: Correspond Parts and Scale FactorsMake it Scale
Lesson 3: Making Scaled CopiesScaling Robots
Lesson 5: The Size of the Scale FactorScale Factor Challenges
Lesson 6: Scaling AreaTiles
Lesson 6: Scaling AreaWill It Fit

Unit 2: Introducing Proportional Relationships

Lesson 1: One of These Things is Not Like the OtherPaint
Lesson 5: Two Equations for Each RelationshipTwo and Two
Lesson 10: Introducing Graphs of Proportional RelationshipsDinoPops

Unit 3: Measuring Circles

Lesson 2: Exploring CirclesMeasuring Around
Lesson 7: Exploring the Area of a CircleWhy Pi?
Lesson 9: Applying Area of a CircleArea Challenges

Unit 4: Proportional Relationships and Percentages

Lesson 6: Increasing and DecreasingMosaics
100%
Lesson 7: One Hundred PercentMore and Less
Back in My Day
Lesson 8: Percent Increase and Decrease with EquationsAll the Equations
Lesson 11: Percentage ContextsPercent Machines

Unit 5: Rational Number Arithmetic

Lesson 3: Changing ElevationFloats and Anchors
Lesson 5: Representing SubtractionMore Floats and Anchors
Lesson 6: Finding DifferencesDraw Your Own
Lesson 13: Expressions with Rational NumbersInteger Puzzles

Unit 6: Expressions, Equations, and Inequalities

Lesson 9: Dealing with Negative NumbersKeeping it True
Lesson 13: Reintroducing InequalitiesI Saw the Signs
Lesson 14: Finding Solutions to Inequalities in ContextUnbalanced Hangers
Lesson 15: Efficiently Solving InequalitiesShira the Sheep
Lesson 16: Interpreting InequalitiesBudgeting
Lesson 17: Modeling with InequalitiesWrite Them and Solve Them
Lesson 20: Combining Like Terms (Part 1)Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent AnglesFriendly Angles
Lesson 5: Using Equations to Solve For Unknown AnglesMissing Measures
Lesson 7: Building Polygons (Part 2)Can You Build It

Unit 8: Probability and Sampling

Lesson 1: Mystery BagsHow Likely
Lesson 3: What are Probabilities?Prob-bear-bilities
Lesson 4: Estimating Probabilities through Repeated ExperimentsIs It Fair?
Lesson 13: What Make a Good Sample?Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Lesson 1: Moving the PlaneTransformers
Lesson 2: Naming the MovesSpinning, Flipping, Sliding
Lesson 3: Grid MovesMoving Day
Lesson 4: Making MovesTransformation Golf
Lesson 5: Coordinate MovesGetting Coordinated, Part 1
Lesson 6: Describing TransformationsGetting Coordinated, Part 2
Lesson 16: Parallel Lines and Angles in a TrianglePuzzling It Out
Lesson 17: Rotate and TesselateTessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Lesson 1: Projecting and ScalingSketchy Dilations
Lesson 3: Dilations with No GridDilation Mini Golf
Lesson 7: Similar PolygonsSocial Scavenger Hunt

Unit 3: Linear Relationships

Lesson 1: Understanding Proportional RelationshipsTurtle Time Trials
Lesson 5: Introductions to Linear RelationshipsFlags
Lesson 6: More Linear RelationshipsStacking Cups (Optional)
Lesson 8: Translating y=mx+bTranslations
Lesson 9: Slopes Don’t Have to Be PositiveWater Cooler
Lesson 10: Calculating SlopeUps and Downs

Unit 4: Linear Equations and Systems

Lesson 5: Solve Any Linear EquationEquation Roundtable
Lesson 12: Systems of EquationsMake Them Balance
Lesson 13: Solving Systems of EquationsLine Zapper

Unit 5: Functions and Volume

Lesson 1: Inputs and OutputsGuess My Rule
Lesson 5: More graphs of FunctionsTurtle Crossing
Lesson 6: Even More Graphs of FunctionsThe Tortoise and the Hare
Lesson 13: The Volume of a CylinderCylinders
Lesson 15: The Volume of a ConeCones

Unit 6: Associations and Data

Lesson 3: What a Point on a Scatter Plot MeansRobots
Lesson 4: Fitting a Line to DataDapper Cats
Lesson 5: Describing Trends in Scatter PlotsInterpreting Scatter Plots
Lesson 6: Slope of a Fitted LineFind the FIt (called Fit Fights in Desmos Math)
Lesson 7: Observing More Patterns in Scatter PlotsScatter Plot City
Lesson 8: Analyzing Bivariate DataInterpreting Slopes
Lesson 9: Looking for AssociationAnimal Brains
Lesson 10: Using Data Displays to Find AssociationFinding Associations

Unit 7: Exponents and Scientific Notation

Lesson 1: Exponent ReviewCircles
Lesson 6: What about Other Bases?Power Pairs
Lesson 12: Applicatios of Arithmetic with Powers of 10Balance the Scale
Lesson 13: Definition of Scientific NotationSpecific and Scientific (formerly Solar System)

Unit 8: Pythagorean Theorem and Irrational Numbers

Lesson 5: Square Roots on the Number LineRoot Down
Lesson 7: Finding Side Lengths of TrianglesTriangle Tracing Turtle
Lesson 11: Applications of the Pythagorean TheoremTaco Truck

Algebra 1

Intro/Launch

Unit 1: One Variable Statistics

Lesson 12: Standard DeviationFinding Desmo

Unit 2: Linear Equations and Systems

Lesson 4: Equations and Their SolutionsWorking Backwards
Solving Strategies
Same Position
Lesson 5: Equations and Their GraphsShelley the Snail
Five Representations
Lesson 6: Equivalent EquationsSubway Seats
Lesson 7: Explaining Steps for Rewriting EquationsVarious Variables
Lesson 12: Writing and Graphing Systems of Linear EquationsLizard Lines
Lesson 13: Solving Systems by SubstitutionShape It Up

Unit 3: Two Variable Statistics

Lesson 5: Fitting LinesCity Slopes
Penguin Populations
Lesson 6: ResidualsResidual Fruit
Lesson 7: Correlation CoefficientCorrelation Coefficient
City Data
Lesson 8: Using the Correlation CoefficientHow Hot Is It?
Lesson 9: Causal RelationshipsBehind the Headlines

Unit 4: Linear Inequalities and Systems

Lessons 4-6: Graphing Linear Inequalities in Two VariablesPizza Delivery
Lesson 7: Solutions to Systems of Linear Inequalities in Two VariablesQuilts
Seeking Solutions
Lesson 8: Solving Problems with Systems of Linear Inequalities in Two VariablesCarlos’s Fish

Unit 5: Functions

Lesson 1: Describing and Graphing SituationsCraft-a-Graph
Lesson 7: Using Graphs to Find Average Rate of ChangePlane, Train, and Automobile
Lesson 12: Piecewise FunctionsPumpkin Prices
Lesson 15: Inverse FunctionsChip the Robot

Unit 6: Introduction to Exponential Functions

Unit 7: Introduction to Quadratic Functions

Lesson 1: A Different Kind of ChangeRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
Lesson 10: Graphs of Quadratic Functions in Standard and Factored FormsOn the Fence
Stomp Rockets
Plenty of Parabolas
Two for One
Lesson 11: Graphing Quadratics from the Factored FormParabola Zapper
Shooting Stars
Lesson 14: Quadratic Graphs that Represent SituationsRobot Launch

Unit 8: Quadratic Equations

Lesson 2: When and Why Do We Write Quadratic Equations?Sorting Relationships
Lesson 12-14: Completing the SquareSquare Tactic
Lesson 24: Using Quadratic Equations to Model Situation and Solve ProblemsStomp Rockets in Space

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Amplify’s universal and dyslexia screening in one too

Measure what matters 

Table listing literacy skills assessed in the "screening area" and "mclass assessments," with check marks indicating coverage of specific skills like phonological awareness and reading fluency.

mCLASS® with DIBELS 8th Edition® provides a formative assessment solution that supports the identification of students at risk for reading difficulties, including difficulty related to dyslexia. DIBELS 8th Edition was developed by the University of Oregon with the primary focus of ensuring that the measures are able to meet state-level dyslexia screening requirements.

How mCLASS identifies students at risk of dyslexia

When screening for risk, nothing can replace the power of listening to a child read—listening to their strengths as a reader AND their struggles.

With mCLASS, teachers administer predictive one-minute assessment measures that involve listening to students interact with sounds, letters, words, and text while screening for reading difficulties.

Table showing academic performance metrics for grade 1 students at the beginning of the year, highlighted row for student jon bell with various scores.

Identifying at-risk students: What comes next?

Research and statistics about dyslexia in early literacy

90 percent of students who struggle in third grade will continue to struggle at the end of elementary school if they do not receive the intervention.

74 percent of students who are poor readers in third grade will be poor readers in ninth grade, and, in general, have a higher risk of academic failure and school dropout.

According to a 2015 National Assessment of Educational Progress study, only 35 percent of fourth-grade students were proficient in reading. Most of these children will spend the rest of their time in school trying to catch up

mClass solutions

mCLASS Instruction provides teachers with a single view of the personalized, blended instruction (teacher-led and online) that is available to support individual student or small-group needs in skill areas directly assessed in the mCLASS assessment.

Employ teacher-led instruction for whole classes, small-groups, and individual students, including activities created by Susan Hall, author of I’ve DIBEL’d, Now What, are provided for skill practice.

Additional instructional resources for comprehension include grade-level passages that provide more practice.

Get online student instruction and practice with Amplify Reading, which places students in a personalized instruction path based on mCLASS assessment data and adapts based on progress in the curriculum. Students engage with skills-based games as well as an eReader.

Receive rigorous, teacher-led intervention with mCLASS Intervention to address students most in need of support.

Teachers can download a letter with student assessment results to send home to parents and guardians, or use as a basis for discussion at conferences. Home Connect letters describe how the measures relate to skills development. Progress bars indicate the student’s performance on each measure.

Home Connect extends reporting to parents and guardians in a way that is easily understood and provides suggestions for positive action.

Dylexia Resources and Materials

Resources

Dyslexia toolkit

Cover of a "dyslexia toolkit" brochure with images of children engaged in various classroom activities including reading, writing, and working in groups, and a teacher leading a class.

View now

Dyslexia Screening and Dibels 8th edition

View now

Connecting the science of reading to assessment

Recorded on: Tuesday, February 4, 2020 at 2–3 p.m. ET

What exactly does the science of reading say about early literacy assessment? Hear from an expert on how to align assessment to the science of reading.

Register and watch now on demand

Science of Reading toolkit

Illustration of a person holding a book with colorful ribbons flowing out, symbolizing streams of knowledge, alongside text about using science reading insights.

View toolkit

Request a demo

mCLASS with Amplify Reading offers Amplify Reading’s engaging and adaptive instructional layer alongside mCLASS’s best-in-class literacy assessment. Simply complete the form to request a demo, and an Amplify sales representative will be in touch.

S3-04: Using AI and ChatGPT in the science classroom

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In the latest episode of the Science Connections podcast, we explore AI in education and its impact on students. Listen as I sit down with teachers Donnie Piercey and Jennifer Roberts to discuss ChatGPT and how we can use it to build science and literacy skills in K–12 classrooms while preparing students for the real world.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Jennifer Roberts (00:00:00):

If a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world.

Eric Cross (00:00:07):

Welcome to Science Connections. I’m your host, Eric Cross.

Eric Cross (00:00:12):

This season of the podcast, we’re making the case for everyone’s favorite underdog, science. Recently we’ve been highlighting the magic that can come from integrating science and literacy. So if you haven’t checked out those recent episodes, definitely go back in your feed after you’re done with this one. This time around, we’re going to deep dive into what artificial intelligence means for literacy instruction, and how science can be a force for good, in responsibly exposing students to AI. To help me out, I’m joined by two extremely accomplished educators. Jen Roberts, a veteran high-school English teacher from San Diego, who among many things runs the website LitAndTech.com. And I’m also joined by fifth-grade teacher Donnie Piercey. In addition to being Kentucky’s 2021 Teacher of the Year, Donnie also has an upcoming book about bringing AI into the classroom. Whether you’ve never heard of ChatGPT or whether you’re already using it every day, I think you’ll find this a valuable discussion about the intersection of science, English, and technology. Here’s Jen and Donnie.

Eric Cross (00:01:17):

So first off, welcome to the show. It’s good to see you all. What I wanna do is kind of start off by introducing both of you. And so we’ll just go K–12. So <laugh>, Donnie.

Jennifer Roberts (00:01:30):

Donnie goes first.

Eric Cross (00:01:31):

Donnie’s gonna go first. Donnie out in Kentucky. Just a little background. What do you teach; how long you’ve been in the classroom; and what are you having fun with right now?

Donnie Piercey (00:01:38):

Yeah, so my name is Donnie Piercey. I’m a fifth-grade teacher from Kentucky. Live and teach right here in Lexington, Kentucky, right in the center of the state. I’m the 2021 Kentucky Teacher of the Year. But I’ve been teaching elementary school for the past … I think this is year 16 or 17. It’s long enough where I’ve lost count, and I can’t even count on fingers anymore. My friends like to joke that I’ve taught long enough where now I can count down. You know, it’s like, “All right, only so many more years left.” But yeah, teach all subjects. Science definitely is one of the subjects that I don’t just try to squeeze into my day, but make sure that … it’s not even a devoted subject, but one that I definitely try to — don’t just have that set time, but also try to do some cross-curricular stuff with it. So definitely the rise of AI in these past few months, which feels like years by this point, has definitely played quite the role, in not just changing the way that I’ve been teaching science, but really all my subjects. So, excited to chat with y’all about it.

Eric Cross (00:02:47):

Nice. I’m excited that you’re here. And Jen?

Jennifer Roberts (00:02:51):

Hi, I’m Jen Roberts. I teach ninth-grade English at Point Loma High School, and that’s where I usually stop when I introduce myself. But for your sake—

Eric Cross (00:03:00):

I will keep introducing you if you stop there. <laugh>

Jennifer Roberts (00:03:04):

I am nationally board-certified in English Language Arts for early adolescence. I am the co-author of a book called Power Up: Making the Shift to 1:1 Teaching and Learning, from Stenhouse, with my fabulous co-author Diana Neebe. Shout out to Diana. I blog at LitAndTech.com about teaching and technology and literacy and the intersection of those things. And I’m looking forward to talking about how AI is showing up in my classroom and the fun things I’m doing with it.

Donnie Piercey (00:03:31):

And one of us is actually secretly a robot, and you have to guess which one.

Jennifer Roberts (00:03:35):

Have to guess which one. Yes. <laugh>

Eric Cross (00:03:37):

That would be super-meta. And you were the CUE — Computer-Using Educator — outstanding teacher or educator? Whatever. Either one. Of the year.

Jennifer Roberts (00:03:45):

I was the CUE ’22 Outstanding Educator. Yes. And I’ve won a few other things as well.

Eric Cross (00:03:53):

The gaming backpack.

Jennifer Roberts (00:03:54):

I’ve won a gaming backpack recently! Yes. I once won an iPad in a Twitter chat.

Eric Cross (00:03:58):

What?

Donnie Piercey (00:03:58):

What’s a gaming backpack? Hold on. We need to talk about that.

Jennifer Roberts (00:04:01):

We will talk about that. <laugh> And then, I was once a finalist for county Teacher of the Year. That’s as close as I got to Donnie. Donnie was the Kentucky Teacher of the Year. He got to go to the White House and stuff. That was exciting.

Donnie Piercey (00:04:13):

<laugh> I mean, to be fair, there’s only three million people in Kentucky, and about what, 50 million people that live in California? <Laugh> So odds are definitely stacked in my favor, I think.

Jennifer Roberts (00:04:23):

So you’re saying we’re even there? Is that, is that what you’re going for?

Donnie Piercey (00:04:25):

Yeah, evens out. Evens out.

Eric Cross (00:04:27):

So I’ve been looking forward to talking to you both for a while now, and talking about artificial intelligence. It’s like the big thing. And both of you, at different ends of the spectrum and in my life, have contributed to this. Donnie, you’ve been sharing so much great information online about how you’re using AI in elementary. Jen, you are the reason I got into education technology years ago, right when I was becoming a teacher. And so being able to talk with you both about it excites me a lot. So first off, for the listeners who may not have any experience with it — and there’s still a lot of people out there who have not been exposed to it, haven’t got their feet wet with it yet — I’m hoping we could start off maybe with an explanation of … we could do AI, ChatGPT, I know that’s the big one. But simply explaining what it is, just for the new person. And whoever wants to start off can tell us about it. Or maybe we’ll start … we’ll, let’s actually, let’s do this: Let’s continue going like K–12? So Donnie, maybe you could … what’s your pitch to the new person of, “Hey, this is what it is”?

Donnie Piercey (00:05:31):

All right. So, AI, artificial intelligence, probably the way that most people are exposed to it, at least since November when it launched, is through ChatGPT. Where if you Google it, you know it’s made by a company called OpenAI. The best way to describe what it is … when you go there for the first time, make an account, it’s free. You have like a little search window, looks like a Google search bar. And instead of searching for information, you can ask it to create stuff for you. So for example, like on Google search, you might type in a question like, “Who was the 19th president of the United States?” Where on ChatGPT, instead of just searching for information, it creates stuff for you. So you could say, you could ask it to, “Hey, write a poem about the 19th president of the United States.” Or, “Write a short little essay comparing, I don’t know, Frederick Douglass to Martin Luther King Jr.” And it would do that for you. You know, that’s most people’s first exposure to AI, at least in these past few months. Instead of … you know, it’s artificial intelligence, but it’s not just chatbots. There’s lots of other AI that exist out there.

Jennifer Roberts (00:06:47):

And I think that’s the thing: that people don’t realize how much AI is already in their lives.

Donnie Piercey (00:06:51):

For sure. Yeah.

Jennifer Roberts (00:06:52):

You know, they just haven’t seen … the term that I see being used a lot now is “generative AI.” AI that can produce something. It can produce writing, it can produce art, it can produce a script, it can produce a character. But the AI that has been helping you pick what to watch next on Netflix and the AI that’s helping Google help you get where you wanna go on Google Maps faster, those are forms of artificial intelligence as well.

Donnie Piercey (00:07:21):

Yeah. I mean, even those, when you get that that message in Gmail, and instead of having to type out that response that says, “Yeah, that sounds great,” you can just click the little button that says, “Yeah, that sounds great.” I mean, that’s been in Gmail for years, but that’s artificial intelligence too.

Eric Cross (00:07:39):

Absolutely. So why is it important, do you think, for educators to, to be familiar with it? Like, why are we all so excited about it?

Jennifer Roberts (00:07:47):

So, educators need to know what kids are into, and kids are obviously into ChatGPT. And anyone who’s an educator right now has probably already had something cross their desk — or more likely their computer screen — that was written by AI and passed off as a student’s own work. And that is, of course, the great fear among teachers everywhere, that this is what kids are just gonna do these days and they won’t be able to catch it and children won’t be doing their own work and this and this. But I think the big reason teachers need to know what’s going on is because teachers need to be futurists. Our clientele will live in the future. We teach kids, kids will become adults, adults will live in the world. And so if we’re not thinking about and trying to predict on some level what’s gonna happen 5, 10, 15 years from now … we might be wrong, but what if we’re right?

Jennifer Roberts (00:08:38):

And if we’re not at least trying to think about what is their future world gonna look like, then we’re not serving our students well. I did a whole night talk on that. So I think ChatGPT is part of that. I teach seniors. I had this moment of realization I felt a few months ago. I’m like, “This is gonna be the world they graduate into. They need to know what this is before they leave me.” If I don’t teach them how to use this well, and not the way they’re using it — which is to copy and paste the teacher’s assignment and drop it into ChatGPT and take whatever it spits out and turning that in without even looking at it — if I don’t teach ’em how to use it critically, if I don’t teach them how to write effective prompts, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that. And I think the advantage goes to kids who have access and knowledge of what’s in front of them and what’s available, and can use all of the tools at their disposal. Because when you’re writing in school and you write with a collaborator, that could be considered cheating. But when you do that out in the adult world, that’s considered doing a good job. <Laugh> Being a team player. <Laugh> You know, adults don’t work alone for the most part. And adults are expected to churn out beautiful, perfect content no matter how they got there. So if I’m not teaching my kids how to use this, they’re not being ready. They’re not gonna be ready to be the adults that I want them to be.

Donnie Piercey (00:10:07):

A hundred percent agree. And I also believe … as you know, I teach elementary school. I also don’t think anybody is saying that on the first day of kindergarten, you hand a kid a Chromebook and load up an AI chatbot or ChatGPT and say, Hey, this thing’s gonna do all your work for you for the next 12 years; just coast through life. You don’t have to think creatively. You don’t have to learn how to develop a paragraph or learn how to write a speech or develop an idea. Like, I don’t think anybody’s saying that, because as an elementary school teacher, there’s many days when I’m like, “Y’all, we’re just putting the Chromebooks away today and we’re just gonna go old-school. We’re just gonna maybe just jot down five quick ideas and stand up and present those ideas to the class.”

Donnie Piercey (00:10:54):

Because while AI definitely will, like you were saying, Jen, play a significant role in the lives of our students who are, not just graduating, but the 10- and 11-year-olds in my classroom this year. A significant role in their lives. It’s also really important to recognize that we’re not saying that this means that “Hey, kids don’t have to work anymore.” They still have to put forth that effort. There’s still — one of the ways that you become a good writer is by trial and error. And sometimes that trial and error comes through talking to a teacher or talking like you were saying to a peer or collaborating with a peer and saying to them, “Well, this sentence here, this paragraph here, really doesn’t make sense.” And I do believe one of the ways — especially as AI starts to become more fine-tuned and starts to be embedded more and more in tools like Google Docs and Microsoft Word — is it’s almost going to be a tutor to students.

Donnie Piercey (00:11:56):

Mm-hmm. <affirmative> Where I could very easily see in a few years, or maybe a few months, who knows what Google or any of these other big companies has rolling out, where a student could highlight a paragraph that they wrote simply, and then say, “Hey, proofread this for me,” or “Check for coherence.” Or even just ask a simple question: “Does this paragraph make sense?” Because you can already do that. You can copy a paragraph over into a chatbot and say, “Hey, does this make sense?” You know, “Rate my idea from one to 10,” and it’ll do that for ’em.

Jennifer Roberts (00:12:26):

We did that last week <laugh>.

Donnie Piercey (00:12:28):

Yeah. Right. I mean, that’s the thing. That technology exists now. It’s just not totally embedded yet. But based on what I’ve read and what I’ve seen, that’s gonna happen sooner rather than later. And it’s really, really important that we teach our students that, “No, you’re not just gonna use this, this tool to cheat, but you can use this tool to help you become a more creative student.”

Jennifer Roberts (00:12:50):

This is the use case in my classroom. Can I talk about that? You ready for that?

Eric Cross (00:12:53):

Please.

Jennifer Roberts (00:12:54):

OK.

Eric Cross (00:12:54):

Please.

Jennifer Roberts (00:12:55):

So my ninth graders are writing a comparative analysis essay, where I took them to the student art gallery and I made them pick two pieces of completely unknown student art and take notes on it, so they could go back and write this essay. And as soon as we got back to class, I said, can ChatGPT write this for you? And they all kind of froze ’cause I didn’t tell them what ChatGPT was. And they weren’t sure if they were allowed to know or not. And finally one of them kind of bravely raised his hand and said, “No.” And I said, “Why not?” And he said, “Well, the AI hasn’t seen the art. How can it write an essay about art when the art is completely original that we just went and looked at?” I said, “It’s almost like I planned it that way, isn’t it?” And they laughed nervously. And then I said, “Does that mean it can’t help us with this assignment?” And they said, “Well, no — of course it can’t help us, because it has not seen the art.” And I said, “Well. …” And I open ChatGPT, and I typed in what they were trying to do: “I need to write a comparative analysis essay comparing two pieces of student art on these reasons. And I need to choose which one did it better, basically. Can you help me with an outline?” and ChatGPT produced a lovely outline. And I looked at that with my students and we looked at it together and I said, “This is what it gave us. Would this be helpful to you?” And they’re like, “Yeah, that would be helpful to us.” So we — to be clear here, I was the only one using ChatGPT in the room. They were not actually using it. We were using it together. I copied and pasted the outline that it gave us and put it in their learning management system where they could access it so they could use the outline that the robot provided, and then they could use that to make their own writing better. So then I let them write for a little while, and, after they’d written for a little while, I said, “Does anybody wanna let me share your first paragraph with ChatGPT and see what it thinks of how you’re doing?” And a brave student raised his hand and we took his paragraph and we put it in ChatGPT, and it spit back advice. We said, “This is what I have so far for my first paragraph. Do you have any advice for me?” And we gave it the writing, and the first piece of advice it gave back was very generic, you know, “Add a hook,” you know, like kind of thing. But after that, it started to get more specific about things he was actually doing in his writing. And it started to give him some feedback. And we looked at that together as a class. And I said, “Does any of that feedback help you?” And he said, “Oh yeah, absolutely. I’m gonna go add some revisions to my paragraph.” And other students did too. They looked at the feedback he got and used that to improve their writing. And so everybody went and revised. And I said, “Look, if you take what the robot gives you and you copy and paste it, and you turn it in as your own work, it’s gonna get flagged for plagiarism. And that’s not gonna go well. But if it gives you writing advice the same way I would give you writing advice, and you decide that advice is good, and you take that advice and you incorporate it into your own writing yourself, then the robot’s making you better, but you’re still the one doing your own writing.” And the writing they turned in from that assignment was, was better. It wasn’t written by ChatGPT; it was still about the student art that they found in the gallery. But I showed them a path. Like, it can help you with an outline, it can help you with feedback. Right? These are fair ways to use it that’s gonna make you better. And they really liked that. They really liked — no one had shown them that before. The idea that you don’t just take the teacher’s prompt and give it to it … like, these are new uses to students and worked well.

Eric Cross (00:16:17):

So right now, you both just laid out these ways that you’re using it. And I do this with people that I’m trying to introduce to ChatGPT or AI. ‘Cause I get excited. Anyone could write a 500-word persuasive essay on the use of color in The Great Gatsby or The Outsiders, and they can get something back within seconds. But for a lot of educators, it might feel like the sky is falling.

Donnie Piercey (00:16:43):

Oh, understandably! Understandably. I mean, that totally makes sense.

Eric Cross (00:16:49):

What would you say to them? Donnie, go ahead.

Donnie Piercey (00:16:51):

Yeah. Well, I feel like every teacher kind of goes through the same experience when they see like a generative chatbot. I mean, all these major companies are gonna start incorporating AI, the generative AI piece. And a lot of times, when they see it for the first time, two things. First they’ll say “Oh, but I’ll know that that’s not my students’ writing.” Which, frankly, I think is a good thing, because that tells me that the teachers know their students’ writing. They’ve seen them write in person. They’ve conferenced with them one-on-one. And if a student were to turn something in to me, who I know might be a struggling writer, maybe it’s not their strength, and all of a sudden they’re turning in this10-page dissertation-worthy thesis written at a PhD level, I’m like, “All right, man, you’re nine. Can we talk about where this came from?” <laugh> But I also don’t think that at like the heart, I don’t feel like kids want to cheat. I really don’t. I feel like sometimes like kids are in a situation where they’re like, “OK, I’ve got nothing left. I gotta get this assignment done.” And when those kind of things happen, that’s when we as teachers, we have those one-on-one conversations. Even when I showed my students ChatGPT and even some of the AI image-generating stuff for the first time, and I talked to them about, “What do y’all think about this?” Because, you know, they’re under 13. In my district, ChatGPT is blocked for students. Staff, we have access to it. And that’s just because one, it’s so new, and at the same time, we need to figure out, “What’s the best way they can go about using this tool?” But when we were talking about it as a class, you know, I didn’t want to ignore the elephant in the room. So I asked them, I said, “Hey, do you feel like this is something that you all would use to. …” I mean, I used the word. I said “cheat.” And to be honest, the majority of the students in my class, they were taken aback. They’re like, “What? You think we just would cheat all the time?” Right? <Laugh> And I’m like, “Oh, well good. I’m glad to know that integrity is still alive and well.” But yeah, that’s definitely my thoughts on it, as far as not only the student integrity piece — I think that that’s the big thing that you need to just bring up with your students. Because again, I like to think that I’ve seen my students write enough that if they were going to turn something in that wasn’t their voice, or it didn’t sound like them, like I could have that conversation. And don’t be surprised, too, if in the next … I don’t know, one month to a year, there’s lots of AI detectors that exist. A lot of them are these like third-party things. You can go ahead, but I would not be surprised if in the next year or so, like you start to see those AI detectors be built into Google Docs, into Microsoft Word, into even Canva. And honestly, it’s almost like a fail-safe button for teachers, that we could say “All right, this is telling me that this is 99% probably written by AI.” So you can have that conversation with a student that way.

Jennifer Roberts (00:20:03):

I mean, if you’re worried about it, Formative, right now, will even tell you if something is copy-and-pasted into the boxes that they give you for students to write in. I find that kids who cheat are desperate, you know. Especially at the high school level. They’re panic mode. And, and usually their panic comes from, “I have no idea how to even start this assignment.” And so part of what I wanna use ChatGPT for is to lower that barrier for them. Like, you’ve got an assignment, you don’t know where to start. Tell the robot, tell ChatGPT, about the assignment and ask it for a list of steps. You know, ask it for an outline. Ask it for a time management plan. I see so much tremendous potential for this to help many of my students with IEPs who have executive functioning issues.

Donnie Piercey (00:20:49):

Oh, a hundred percent, right?

Jennifer Roberts (00:20:51):

Yes, a hundred percent. This can be their personal assistant who, you know, instead of me sitting with them one-on-one and saying, you know, “This is the task you need to do, let’s break it down into these six discrete chunks,” the artificial intelligence can do that for them. And it can do that for teachers too. <laugh>

Donnie Piercey (00:21:09):

Jen, I was just thinking about, how long until we see like the phrase artificial intelligence written onto a student’s IEP? I could see that happening very, very soon.

Jennifer Roberts (00:21:20):

Right? They should be able to use that. And then, also, of course, all of its amazing beneficials for teachers. I had to completely rewrite a unit of my curriculum. I knew what I wanted to do. I had some ideas of things I wanted to put in there. And I resorted to, I went to EducationCopilot.com and typed in my stuff that I had: You know, what standards I wanted to cover, what outcomes I was hoping for mm-hmm. <affirmative>. And it generated an eight-week unit for me. And I actually told it then to go back and do it as a 12-week unit so that I’d have more stuff in there to go and cherry-pick to decide what I really wanted to do. But it gave me ideas. It gave me places to start. It saved me an hour of just brainstorming. And I don’t think that was cheating. I still got to go in and decide which ideas were valid. And I still got to … you know, I mean, I’m a teacher. Can I get accused of cheating? I don’t think that’s a thing. It’s—

Eric Cross (00:22:18):

That’s collaborating! It’s collaborating!

Donnie Piercey (00:22:20):

Collaborating! It’s a feature! It’s a feature.

Jennifer Roberts (00:22:22):

It’s Tony Stark talking to Jarvis. You know, they’re figuring it out together.

Donnie Piercey (00:22:26):

Oh, when you use the AI, Jennifer, do you call yours Jarvis? In my class we call him Jeeves. ‘Cause remember Ask Jeeves?

Jennifer Roberts (00:22:33):

I think Eric calls it Jarvis.

Eric Cross (00:22:35):

Yeah. Jarvis is gonna be the AI’s name when, when I can get that fully functioning. There are some things that you had said, I just wanna circle back on. Donnie, Jen — so what I heard was like, best intentions. The part you said about integrity and students wanting to cheat … even the mindset that we go in assuming our students, what they would want to do and assuming best intentions, really kind of frames how you look at this kind of technology. And then Jen, you kind of brought up why students cheat, and realizing that either they don’t feel equipped, or maybe it’s time management, or something else. But most people — and I believe this as an educator — most students want to learn, and they want to be able to perform and achieve. And when they cheat, it’s because they didn’t feel like they could, for whatever reason. Whether it’s it’s outside factors, whether it’s something internal, motivation, whatever it is.

Jennifer Roberts (00:23:24):

Or they were very disconnected and just didn’t care.

Eric Cross (00:23:27):

Sure.

Jennifer Roberts (00:23:27):

This is just busy work the teacher’s giving me, so I’m gonna give it very little of my time and energy. But I think, yeah, it can be that. But if the kid cares about it, if they wanna learn, they wanna learn, you know?

Eric Cross (00:23:40):

Right.

Jennifer Roberts (00:23:40):

This is the day of the internet. Any kid can learn anything they really want to learn. And we see that all the time in our classes. The kid who has zero interest in what I’m teaching in English, but he is an expert coder, and that’s what he wants to spend his time learning. He’s like, “Can I read this C++ book as my independent reading book?” And I’m like, “You know, actually, you can. Go ahead.” <Laugh>

Eric Cross (00:24:01):

Yeah. And for both of you, saying that this makes content more accessible … and I think Donnie, or Jen, you said something about IEPs. I actually put in having it write an IEP to see what would happen. I gave it a prompt for a student’s ability level and I asked it to create a plan. And then I asked it to create a rationale. And it did! And it was good! I went through and vetted it. And right now … you know, a lot of it is funny, ’cause the conversation I’m having with different teachers is kind of like the Wikipedia one. Remember when Wikipedia first got out and everyone was like trying to discourage everybody from using it, because, well, it could be changed by anybody? And now everyone’s like, “Oh, check Wikipedia, and then steal the sources, ’cause they’re already done for you.” Like, the mindset has shifted since then. And I was talking to someone and they said, “Well. …” And I said, “We can use AI, it could be a tutor, these other things. …” And they said, “Yeah, but what happens?” And then insert apocalyptic scenario. Like, what happens if you don’t have access to wifi? And it reminded me of, for some reason, cooking classes. So in the 1700s you probably had to be able to farm to be able to generate your food. Right? Like, you had to get it from somewhere. But if you take a culinary class now, you just go to the grocery store. And someone might say, “Well, but you should know how to farm, ’cause what if there was this worldwide apocalypse and nobody could go to the grocery stores?” <Laugh> And you’re like, “Well, balance of probability though.” You know, it’s like we’ve been really been living in these iterations of life, and I think this next step for some folks … like, we don’t even realize, even like something like bank statements, right? So many folks are paperless. And there’s always a what-if scenario. What if you need it and the internet goes down. But we get so used to to to technology advancing and making our lives different. This kind of seems like that next iteration. And I wanna ask you this question: Are we looking at like the next calculator? The next internet, with this tech? Or do you think it’s too early to say?

Donnie Piercey (00:26:01):

Well, I’ve seen a lot of people compare ChatGPT to a calculator. I’ve seen that pop up on social media. There’s, “Oh well, no, this is like when the calculator was invented. Everyone was up in arms about how ‘that’s not what math students should do.’ Math should be pencil and paper, math should be this.’” However, you can give a kid a calculator and you can give ’em a word problem and they can punch in all the numbers, but they could do the wrong operation or they could put the decimal point in the wrong place, ’cause the student is still the one who’s controlling what’s on the calculator. Where with AI, all you gotta do is just copy it and then paste it into the bot and it’ll spit out whatever the question asked it for. Whether it was, you know, a 500-word rationale or proof for something in geometry, or if it’s analyzing data on a chart, it’ll do all that.

Jennifer Roberts (00:27:00):

Yes. But it’s not that magical. It’s back to what Eric did with the IEP. He put in a prompt and then he knew enough to ask for a rationale and then he knew enough about IEPs to critically read the results he got and make sure they actually worked for what he needed. He had to know all that. He was an expert using it to do an expert thing. My husband’s a computer scientist; he got ChatGPT to help him write an app, and it was a new programming language to him, and he could put in the data and he could ask for things that I would’ve never thought to ask for. But because he knows the language of computer science, he knew what to ask for. And when it gave him results that were bad, he could see that, and he could say, “Yes, but do it again, but without this,” or “make this part more efficient.” He, again, knew what to ask for. So I think the generative AI is, as a partner with humans, a powerful thing. But if the human doesn’t know what they’re doing, yeah. You’re still not gonna get great results.

Donnie Piercey (00:28:03):

<laugh> And I think that’s why I’m coming at this from the elementary school perspective, right? Because in K–5 students are still learning, like, “Hey, where does the decimal point go?” They’re still learning, you know, if you’re dividing by a two-digit number, where does the first digit go, if you go in the old long-division algorithm? And so they’re still acquiring that base-level knowledge that … I don’t know, maybe this is similar to in Jurassic Park when Jeff Goldblum says, “It didn’t take any knowledge to attain,” you know, “they stood on the shoulders of geniuses,” that whole thing. Like they had to acquire the knowledge for themselves, was his whole point. And so that’s why I don’t think it’s exactly the same as the calculator. It is definitely going to change things, in a similar way that the calculator did. But to me it’s just a whole new animal. And I don’t know if it’s going to be like the next internet, Eric — if you’re gonna get little devices that have AI built into it, like a Star Wars kind of thing, like a droid or something that follows you around — all that would be kind of cool, not gonna lie. But whether it’s something that you’ll access through the internet, something that’s built into your TV, that part I don’t know. But I do know that there’s a reason why all of these apps and all these companies are investing so much — not just energy, but time and money into it. Because they’re recognizing. “OK, this really has the potential to change things.” But if used well, and used safely, to change people’s lives for the better.

Eric Cross (00:29:41):

So I definitely hear that you both agree with the statement that if AI ChatGPT was used in the classroom, it could be a force for good. And literacy development. And I wanna shift gears a bit and then come back to the AI. So with that said — and we’re gonna get into some best practices in a minute — in Science Connections right now in this season, we’re making the case for how science can do more in classrooms and in schools. And so I’m I’m curious about what both of you think about the role in science fostering a better future when it comes to AI and education. And this season we’re really talking a lot about literacy. You know, in schools, so often it’s taught in a siloed way. And Donnie, you’re doing multi-subject. Jen, you’re single-subject: English. And we’ve really been trying to make this case for how science can actually support literacy, and these skills that students are trying to develop. So we’re going a little old-school, kind of diving into your content specialty, but maybe even pre-AI, or maybe AI has a component in this. But Don, maybe we’ll start with you. How has science been a way that has been helpful for your own literacy instruction? I know you do a lot of science, because I see your Google Earth stuff and the thing you did with the solar systems back in the day. And I think —.

Donnie Piercey (00:30:54):

Oh my gosh! You remember my <laugh> … wow.

Eric Cross (00:30:58):

That was amazing!

Donnie Piercey (00:31:00):

We haven’t done that since the pandemic. But I had my students go out, and using Google Earth, we built a scale model. Each of the students partnered up and they planned out on Google Earth a scale model of the solar system. They picked an object from around their house and we talked about like, “Don’t pick something bigger than a beach ball, or else, you know, your Neptune’s gonna end up like 10 miles away.” But you know, they just picked like a small ball, like a basketball, soccer ball, something like that. Or football, for international friends. And then we calculated the size of every other planet. And then on Google Earth, using their front lawn as where the sun was, then we went and we calculated where other planets would be, and then we actually drove to those locations and like held up the objects that would represent Neptune, Jupiter, Saturn, and all that. But it was a lot of fun.

Eric Cross (00:31:59):

And is that still accessible? ‘Cause I know you have some websites that you put resources out there.

Donnie Piercey (00:32:03):

Yeah. Yeah, I can … I wanna say on my Resources page — Resources.MrPiercey.com — I’ve got a link on there to a couple of student examples that I can share. And if not, when we get off this call, I’m gonna go on and put them on there <laugh> so people can find it. I’ll even throw on there just the assignment itself. So if you wanted to copy that and do that with your students, you could.

Eric Cross (00:32:27):

Donnie, the reason why I brought that up is because I saw that you had posted that or shared it a long time ago, and I just thought it was the coolest thing that you could totally do with middle-school students or high-school students. Jen, when I became a teacher, you said, “We’re all teachers of literacy.”

Jennifer Roberts (00:32:43):

<laugh> Yeah. I think we forgot to tell them that I was one of your professors.

Eric Cross (00:32:47):

Yes. <Jennifer laughs> One of the people who’ve definitely influenced and shaped my teaching. And that statement has never left my mind: that we’re all teachers of literacy. And I want to ask you, at the high-school level, how can science educators, or how can science — how have you seen it, or how does it, support literacy, when it’s done right?

Jennifer Roberts (00:33:09):

Like I said, I think we’re all teachers of literacy, but I think literacy is bigger than just reading and writing. I don’t think someone is literate if they can’t talk somewhat knowledgeably about what’s happening with climate change. I don’t think someone’s literate if they don’t know what’s going on in the world. And I think so much of what’s going on in the world has to do with science. We’re doing that all the time. If I could teach English just by giving kids articles about science, things to read, that would make my day. Right? We would never read another piece of fiction again. It would all be, you know, what’s happening to the ice sheet in Greenland. My students thrive on reading non-fiction. And then whenever that non-fiction touches on science is even more interesting. And whenever I can get them writing about data, particularly their own data that they collected, I think that’s building those science literacy skills as well. So I think science and English blend together very, very well. I think the literacy aspects of that are fantastic. There are more subject-specific vocabulary words, advanced vocabulary words, in science than any other discipline. And I don’t see why those shouldn’t come up in English as well. You know, my seniors will do a unit at the end of the year on the new space race. Unless I replace it with a unit about generative AI, which I’m seriously considering doing, ’cause I think they really need to learn about bias in AI algorithms and things like that. And I would like to have them read a whole bunch about that stuff. And I wanna give them the open letter that all those CEOs signed that said that AI research should slow down, and make them part of that live conversation about what’s happening in that field. So science comes into that. You know, when we read Into the Wild, we start talking about a whole bunch of scientific concepts. And when it rains in Southern California, we pull up weather maps and look at radar and talk about that and how that works.

Donnie Piercey (00:34:59):

That’s like once every 10 years, Jen? <Laugh>

Jennifer Roberts (00:35:02):

Well, actually, this year it rained a lot. It rained a lot in San Diego. Which is actually very high-interest for them. ‘Cause they wanna know, is it gonna be raining at lunchtime?

Eric Cross (00:35:12):

Jen, you said something … you have your students writing about data?

Jennifer Roberts (00:35:16):

Oh yeah.

Eric Cross (00:35:17):

Can you tell me more about that?

Jennifer Roberts (00:35:19):

So, this is something we’ve done with the ninth grade team for a long time now, is writing about their own data. So it started with a unit about stereotypes and stereotype threat. And they would collect data individually and then they would enter that data into a Google form and then we would give them the spreadsheet of the aggregate data from the whole ninth grade. And then we morphed that unit into one about academic honesty, and they filled out a survey at the beginning of the unit about their feelings about academic honesty and about experiences with academic honesty and cheating and homework and things like that. And then we would do the unit. We’d do all the readings in the unit. And they’d have these “aha” moments about things that were happening at other schools. And then at the end of the unit, we would give them back their own aggregate data and ask them to write about whether or not academic honesty was an issue at our school. And then to support that answer with evidence from their own dataset. So they had that spreadsheet to comb through and figure out, you know, where am I gonna stand on this? We give them the multiple-choice questions we gave them as the graphs, in Google Slides, so that they could write about them and talk about them, too. So yeah, getting kids to write about data. And the the sentence frames we gave them were sentence frames out of, They Say, I Say, from the chapter on writing about science. And <laugh> as they write this stuff, they’re like, “I feel so smart writing this way.” And I’m like, “I know, ’cause you’re writing about big important topics!” Right? And writing about their own data come to think of it is another great way to make an assignment both very personal to them, but also make it ChatGPT-proof, you know, if you’re looking for something that kids can’t just hand to the robot, the robot doesn’t have that data set.

Eric Cross (00:37:08):

Absolutely. And Donnie, at the elementary level, do you, do you make connections between science and literacy? In your class? You talked about with math, definitely with the solar system, but now, I’m curious, what are your newer projects? What have you been working on lately?

Jennifer Roberts (00:37:23):

What’s up now, Donnie?

Eric Cross (00:37:24):

Yeah, what are you doing?

Donnie Piercey (00:37:25):

Oh, man. Well, let me think. I’m just trying to think of some fun projects that we’ve done this year. Science that we can tie in Literacy and also some student creation. Just recently we had a … so I’ve wanted to expose my students to famous scientists that weren’t just white dudes from Europe. So for this year, what I did — and I actually used AI for this — I went into ChatGPT and I asked for 64 famous scientists and it listed them all off. And then I asked it, like, how many of these were white? And I think it said like 61 of them. You know, it had like Neil DeGrasse Tyson, and a couple of other … I didn’t know who they were. So I’m like, “All right, so we need to make this more diverse and make this more equitable.” ‘Cause you know, with the student population in my classroom, try to find equal representation to make sure they can see themselves in some of these scientists. So, eventually got it narrowed down to where I had about 64 scientists. Half are women, half are men from all continents except Antarctica. I assigned these scientists to my students. Some got two; some got three. And their assignment was to go and one, do some individual research on this person, find out what they were famous for, what they were most well-known for, turn it actually into a persuasive piece, where I said, “Hey, you’re gonna have one slide.” And I’ll tell you why I gave him one slide in a minute. On that one slide, you’ve gotta convince the person who sees it that this scientist is the most important scientist since the dawn of creation. I said, “You could use images, text — I don’t care if they were famous for something that you didn’t even understand what it was. It’s a persuasive piece. You’re 10. Go all out. Add gifs, do that whole thing.

Eric Cross (00:39:21):

This is awesome.

Jennifer Roberts (00:39:21):

I wanna do this project.

Donnie Piercey (00:39:23):

And if you picked up on the number 64, and I did this in March, so what we did was throughout the weeks of March Madness of the women’s and men’s NCAA tournament, whenever a game was going on, we had another round of voting. I just paired ’em up. I was gonna like seed them, like 1 to 64 — that’s just way too much work for me <laugh>. So I just kind of did random kind of thing. But all the students had to do — they just saw the slides side-by-side, and the only question they had was, “Based on what you see here, who is the most important scientist? This person or this person?” And it eventually came down to Carl Sagan going up against Marie Curie.

Eric Cross (00:40:04):

OK, that’s a good matchup.

Donnie Piercey (00:40:06):

Yeah, well, the Marie Curie slide, they just liked the radium piece. So they added like some green glowing gifs. And I said, “Guys, it doesn’t always grow glow green.” But whatever. Anyway, eventually Carl Sagan, in case you wanted to know, according to the 10-year-olds in my classroom, is the most important scientist in the history of the world. So I don’t know if I agree with that per se — I think maybe Newton or somebody else might have had something else to say about it — but fun assignment. It was a unique way to expose my students to a bunch of ideas. I remember the student that I assigned Newton, the only thing that that she knew about Isaac Newton was “Didn’t he get hit in the head with an apple?” And I said, “Well, not exactly, I think you might have read or maybe seen too many like old-school cartoons or whatever.” But she ended up doing some research. She’s like, “Oh, I’ve heard of that before! That equal and opposite reaction thing.” Didn’t know what it meant. I had another student that just got really … you know, if you’ve ever been on one of those YouTube kicks where it’s just, you go like nine levels deep onto like, “What does this theorem mean?” Student sits in back of my classroom, I walked by one day and he’s just watching something on like the fifth dimension and what it might be. And I said, “Oh, your scientist got you started on that.” So definitely was a lot of fun. Unique way to combine reading, writing, but also expose my students to some ideas. And we’re definitely gonna do it again. I’ve actually done this assignment before. I picked 64 random elements on the periodic table. But their only slide that they have to make is “What’s your element? What is it used for? And then, why is this the most important element since the dawn of creation?” <Laugh> And, you know, there’s always that student that gets hydrogen. They’re just like “Sweet!” Right? They get excited about that one. <laugh>

Eric Cross (00:41:59):

Explosions.

Donnie Piercey (00:42:00):

Yeah. But then, for that kid who likes a challenge, or that student with the “gifted” label, you give them, like, einsteinium or palladium. Some of the more challenging ones. And they go all out with this. I didn’t use AI for that one, but it was kind of fun, and I figured it’d be neat to share an idea that another teacher could try.

Eric Cross (00:42:20):

Well you probably have at least two teachers right now that are gonna go and try that. And we’re both looking at you. So.

Donnie Piercey (00:42:24):

Go for it.

Eric Cross (00:42:25):

Thanks for that idea. I’m imagining my students coming in with jerseys with “neon.”

Donnie Piercey (00:42:29):

Oh yeah. <laugh>

Eric Cross (00:42:30):

“Neon” on it. Just all ’80s out.

Donnie Piercey (00:42:33):

The game behind it, too, is you tell kids — again, this is just so the 10-year-olds in my class don’t get their feelings hurt — but I say, “Hey, and if your element gets knocked out, you just have to start cheering for whoever beats you in the tournament.” So by the end, you kind of got half the class cheering for one and half the class cheering for whatever.

Jennifer Roberts (00:42:53):

So the only thing I got outta that whole story that I’ve got for you is, as a child I met Carl Sagan. That’s all I got.

Donnie Piercey (00:43:02):

For real?

Jennifer Roberts (00:43:02):

For real.

Donnie Piercey (00:43:03):

So did he talk with that cadence and tone?

Jennifer Roberts (00:43:06):

Yes.

Donnie Piercey (00:43:06):

Like in real life? Wow.

Jennifer Roberts (00:43:07):

Yes. My father was one of the cinematographers on the original Cosmos. And I got to go to the set a few times.

Donnie Piercey (00:43:14):

That’s incredible!

Jennifer Roberts (00:43:15):

I did not appreciate what I was seeing as a child. But as an adult, I’m like, “That was cool. I was there.”

Donnie Piercey (00:43:20):

“You can see my shadow off in the distance.”

Jennifer Roberts (00:43:23):

I mean, maybe that’s part of why I’ve always had an interest in science. I’ve always had fantastic science teachers. Every science teacher I ever had was amazing.

Donnie Piercey (00:43:31):

I credit mine to Mr. Wizard. I don’t know if you ever watched Mr. Wizard and Beakman’s World?

Eric Cross (00:43:35):

I remember Mr. Wizard. Yep. Yep. I definitely remember Mr. Wizard, Beakman’s World, all those. That was on Nickelodeon back in the day. I had to get up early to watch that one. But there’s a YouTube video—

Donnie Piercey (00:43:44):

Six am!

Eric Cross (00:43:44):

<laugh> It was! It was super-early! But there was one, Don, I don’t know if you’ve seen this on YouTube, but it said “Mr. Wizard Is Mean,” and it’s just clips of when he’s—

Donnie Piercey (00:43:56):

Yelling at kids!

Eric Cross (00:43:56):

Chastising. Or being really direct. It’s just one after another.

Donnie Piercey (00:44:02):

He always asked ’em a question and if the kid, you know, didn’t answer it right, he’d be like, “Well, you’re not right, but you’re wrong.” You know, whatever. <Laugh>

Eric Cross (00:44:14):

I have to make sure I’m not subconsciously saying Mr. Wizard quotes when I’m talking in the classroom, when things are happening. But yeah, that video’s hilarious. So I just want to bring us back to AI, and ask this question: Do you think science has a special role to play when it comes to teaching kids about AI responsibly? Does science have a special role in that?

Jennifer Roberts (00:44:36):

I think the responsible piece of AI I wanna teach my students about is the part about the bias in the algorithms and the bias in the training. And I want them to understand how it works, well enough to make informed decisions about how it impacts their lives.

Donnie Piercey (00:44:56):

Hmm.

Jennifer Roberts (00:44:57):

Because I do have concerns about a tool that was trained on the internet. And the answers it gives you is the average of the internet. And do we trust the internet? And the answer from kids is always, “Well sorta, no.” <Laugh> So I want them to understand the social science behind that.

Donnie Piercey (00:45:18):

Yeah. And just along that same point, having the students recognize that just because, you know, you copy-and-paste a question in, the answer it spits out might not always be correct. So, teaching them that just like you would with a source that you find about a topic that you’re researching, you’ve gotta fact-check.

Jennifer Roberts (00:45:44):

It’s just like being a good scientist. A good scientist wouldn’t always accept a single result or the first result. You know, you would look at multiple angles. You would try things different ways. Last week I took the article my seniors were reading about victim compensation after 9-11, and in front of them, I gave ChatGPT, I said, “Are you familiar with this article by Amanda Ripley? And ChatGPT came back and said, “Oh yes, this was written in the Atlantic in 2020 and it’s about these things, blah, blah blah.” And my students looked at that and went, “That’s not the article we read.” And I said, “I know. It got it wrong. That’s amazing!” Yeah. And I was so happy that it got it wrong! ‘Cause I wanted them to see that happen.

Donnie Piercey (00:46:21):

And I guess one of the big science questions there, or one of the big science components there, is that idea of inquiry. Right? It’s almost like you have to teach students how to ask those deep questions about what AI spits out.

Eric Cross (00:46:35):

All of those tips are great. And it leads me to this last question I want to ask. New teachers that are out there — it actually doesn’t even matter; new teachers, experienced teachers, all of us are kind of new at different levels of this race. We’re all kind of starting it together. I mean, it hit mainstream. We’re all getting exposed to it. You all really dive into it. When tech comes out, I know you two really like, “OK, how can we use this to transform education and do awesome things for kids?”

Donnie Piercey (00:47:04):

Usually, when new tech comes out, “How can this make my life easier?” is usually the question. Yeah.

Jennifer Roberts (00:47:09):

“How can I save myself time with this?” Yes.

Donnie Piercey (00:47:11):

“How can this result in me watching more TV and you know, less grading,” sometimes.

Eric Cross (00:47:16):

And I start there like you, but then I end up more time that I fill with another project. And I need to learn how to stop doing that. I’m like, “Oh! I got more free time! … to go take on this other task.”

Jennifer Roberts (00:47:28):

Oh, all of my tech adoption is driven by “how can I work less?”

Eric Cross (00:47:32):

So you’re you’re talking to a new teacher, teacher’s getting exposed to this, they’re starting the school year or they’re just getting their feet wet with it. What advice would you give them about AI, incorporated into content or even just best practices? Where you’re at right now in your own journey, and someone’s asking you about it —what would you share with ’em? And Jen, I want to start with you.

Jennifer Roberts (00:47:53):

So, the first thing I did is I was in the middle of grading, you know, 62 essays from my seniors about Into the Wild, when ChatGPT became a thing last November. And I wanted to see what would happen. So the first thing I did was take the prompt that I had given my students and gave it to ChatGPT, ’cause I had just graded a whole bunch of those essays and my brain was very attuned to what my rubric was doing and what I was expecting as the outcome. So I could take what ChatGPT gave me as that quote unquote “essay” and evaluate it critically. And I was ready to do that. So my first advice is take something you’re already asking students to do and ask ChatGPT to do the same thing. So that as you look at the student results, you can compare that to what ChatGPTgives you. If what you’re finding is that ChatGPT can generate something that would earn a decent grade from you, you might need to change that assignment. And it doesn’t need to be a big change, but it might need a tweak or something, so that it, it does rely on the student voice, the students to do something more personal. I’m finding very helpful in my classroom is having my kids do projects where they are recording themselves on — I like Flip. So they’re writing a scene together and they’re having to record the scene together. And I’m emphasizing more of the speaking roles than the writing roles necessarily. So yes, first, take something you’re already doing, paste in to ChatGPT, see what the results are, see how that fits with what your students are doing, and then do that for every assignment you give and just sort of see what comes out of that, and see which assignments are failing and which assignments are working. ‘Cause that’s gonna give you a sense, when you do see one of those results from your students, you’ll be able to recognize it. But it’ll also help you tweak your assignments and decide, “How can I make this a little more original or a little bit more authentic for my students?” And if the robot, if the AI, can’t generate a response, what could the AI do that would be helpful to your students? Would be my next question. So can you use the AI to help them generate an outline? Can you use the AI to help them generate a list of steps to help them get started? And when you’re comfortable enough doing that by yourself, then don’t be afraid to open it in front of your class. If it’s not blocked at your school site, which I hope it’s not. Because I think the advantage goes to kids who have access to this in the long run, or at least see what it is and know what it is. Right? Because if a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world. So give them a chance to see you using it. Model effectively using it. I have a blog post about that. I just wrote it. LitAndTech.com. You can check that out. “Introducing 9th graders to ChatGPT.” How it went, right? There’s a chart there you can have. It’s my very first draft of this, but it seems to be very popular. So, you know, show students how it can be used as their mentor. If I can’t come read your paragraph because I have 36 kids in my classroom and I cannot stop and read everybody’s first paragraph, can you, if you want to, give your first paragraph to ChatGPT and ask for advice? And will that advice be helpful to you? So showing students how it can be used responsibly is, I think, something every teacher should be doing right now. And don’t hold back just because you’re afraid you’re gonna be teaching them what this is. They know what this is. Right?

Donnie Piercey (00:51:13):

They know what it is.

Jennifer Roberts (00:51:13):

Especially if you teach high school. They know what it is. I’ve had parents thank me for showing them how to use it responsibly. You know, this can actually be a really useful tool, but if you’re trying to make it do your work for you, it will probably fail you. If you’re trying to use it to help you do your work, it will probably be helpful. Sort of the way I’m breaking it down for them at this point. You want the great metaphor? The great metaphor is if you build a robot and send it to the top of a mountain, did you climb that mountain? No. If you build a robot and ask it to help you get to the top of the mountain, and you and the robot go together, did you climb that mountain? Yes.

Eric Cross (00:51:53):

I like that. I’m thinking through this. I’m processing that now.

Donnie Piercey (00:51:57):

Me too.

Eric Cross (00:51:59):

Yeah. I just imagine a robot holding my hand climbing Mount Everest and I’m like, “Yeah, I did it.”

Donnie Piercey (00:52:04):

If I got a robot though, like I would have to dress it like Arnold Schwarzenegger in Terminator 2. Like I would just have to.

Eric Cross (00:52:10):

Of course.

Donnie Piercey (00:52:10):

Of course.

Eric Cross (00:52:13):

Donnie, same question. Advice. Teachers getting immersed into it. Tips. What would you say?

Donnie Piercey (00:52:20):

So, I would definitely agree with everything that Jen said. Just, if anything else, to familiarize yourself with it. Almost like pretend like it’s a student in your classroom and it’s answering questions, just so that way you can see what it can do. And you’re kind of training yourself, like, “Oh, well, if I ever need examples, exemplars.” If you’re in a writing piece and you don’t wanna sit there and write out four different types of student responses — you know, advanced writer, beginning writer, whatever — great way to to do that is you just—

Jennifer Roberts (00:52:48):

Oh yeah. We did that.

Donnie Piercey (00:52:48):

—copy the prompt in and give a beautifully written piece that a fifth grader would be impressed with. Boom. It’ll do it for you. In my classroom, the way that I approach it is I kinda look at AI as almost like this butler that I don’t have to pay. That if I need it to do something for me, it’s just bookmarked. I can click it. And I mean, sometimes I just talk to it like it’s a person. And it’s almost like, in the chat window, I’m just rambling at it, what I’m trying to do. And it’s almost like I’m talking to a coworker, and I’m trying to hedge out some ideas for a lesson. Simple example: For a science lesson, if you’re trying to come up with … let’s say you’re a fifth-grade — or, sorry, I teach fifth grade. Say you’re a seventh-grade science teacher. And you’re trying to teach the students in your class about Newton’s third law of motion. You know, every action [has an ] equal and opposite reaction. Look around your room. See what you have. Maybe look around and you’re like, “All right, I got a whiteboard, microscope, I’ve got magnets, a cylinder. …” And you just copy all this stuff into ChatGPT. Say, like, “Hey, I have all of these items. Cotton balls, peanut butter, whatever.” And say, “I’m trying to teach students Newton’s third law of motion. Give me some ideas of some ways I could teach it using some of these materials.” And it’ll do it! It’ll give you like five to 10 ideas!

Jennifer Roberts (00:54:15):

And then tell it what your students are into. Like, my students are really into basketball. Can you work that into this lesson?

Donnie Piercey (00:54:21):

Yeah! They’re into the Avengers! Hey, find some way to tie Spider-Man into this. You know, that was a pun that didn’t go so well. But, you know <laugh> figure out some way that you could incorporate this and it’ll do it. And Eric, like you said, it won’t be perfect. Right? But if anything else, if you’re a starting teacher and you’re trying to brainstorm ideas — try it.

Eric Cross (00:54:44):

And Donnie, as you were saying that, I was thinking — first, I imagined Spider-Man shooting cotton balls with peanut butter all over them — and then my mind went to having students have these items, like you were saying. And then they create labs, working alongside AI. To do inquiry. To create a lab about something, and then going and performing and collecting data. OK, that’s — now I wanna go do that tomorrow!

Donnie Piercey (00:55:10):

Listen, it is so easy to do. If you have an extra computer in your classroom. … We were talking about Jarvis and Iron Man and Tony Stark earlier. Make a new chat in ChatGPT. Tell it, “I want you to pretend that you are Tony Stark. Only answer questions as if you are Tony Stark.” Or “Pretend you’re Jarvis.” Whatever. “Stay in character the whole time. I’m going to have sixth grade students come up to you and ask you questions about science or forces of nature, and only answer questions like you’re Iron Man.” And guess what? You keep that station in your classroom. Students are working on a project — you know, in elementary school, a lot of times we’ll have that, “ask three before me” — you’re supposed to ask three friends before you go and bug the teacher. Well, maybe one of those “three before me” can be that little computer station, where they go up and ask Tony Stark a question, and then it answers them as Jarvis or Iron Man. I mean, we’re really just scratching the surface with all this AI stuff. And as more and more companies and more and more creatives are gonna start to realize everything that it can do, we’re gonna start to see it more and more. And hopefully we as teachers can really figure out how to use this tool to, of course, help students, but also help them be creative and explore and learn on their own.

Eric Cross (00:56:35):

That’s amazing. And just both of you are just dropping gems right now. And I wanna wrap up by saying — and I’ve said this before on earlier podcasts I’ve done — but at this phase in my life, the people that I’m the biggest fans of are teachers. And it’s true. I don’t mean that in a cliche way. When I watch celebrities and things like that, when I watch professional sports, that doesn’t fill me the way it used to when I was a kid. At this point, as a professional, I get inspired by other educators who are just doing awesome things. And when I think about educators who are doing that, you two are on that list of people that make me better. And when I get better, I can do better things for my kids. And so, one, I want to thank you for staying in the classroom and continue to support students. They’re so lucky to have you both. The second thing I wanted to say is, Jen, I wanna start with you. Where can people — and I know we said at the beginning — but where can people find the stuff that you put out? You got blogs, your social, your book.

Jennifer Roberts (00:57:28):

I got lots of social. Twitter, I’m JenRoberts1 on Twitter. And then my blog is LitAndTech.com. And then I’m on lots of the new social too, the Mastodons, the Spoutables, the Posts — those kinds of things — as just Jen Roberts, because I got in early and I got my real name without a 1. And there was some other one I’m on recently that I’ve forgotten about. But there’s lots of ’em. They’re fun. And I’m Jen Roberts. You can find me there.

Donnie Piercey (00:57:56):

And I’m SergeantPepperD on AOL, if anyone’s interested.

Eric Cross (00:58:00):

If you wanna hit Donnie up on AIM. <Laugh>

Donnie Piercey (00:58:03):

SergeantPepperD.

Jennifer Roberts (00:58:04):

You know, speaking of rock stars and people who do amazing things, I did write a blog post about using ChatGPT in the classroom, but I hear Donnie wrote a whole book.

Eric Cross (00:58:13):

Oh yeah. So, Donnie! Donnie, that’s a great segue. Thanks Jen. Donnie, how do people find out more? And can you tell us about this book you wrote, that’s coming out in the summer?

Donnie Piercey (00:58:22):

Yeah, so the book I wrote is called 50 Strategies for Integrating AI Into the Classroom. It’s published by Teacher Created Materials. They reached out to me. They had seen some of the stuff that I was doing, not just with ChatGPT, but also some image-generating AI stuff. You know, I got featured on Good Morning America, which was kind of cool. And they saw that and they said, ‘Hey, that looks really neat.” Reached out to me and asked me to write a book. And the idea behind the book, that launches this summer, it’s just 50 ideas, 50 prompts, different things that, as a classroom teacher, that you can do. So, you know, I think there’s so many AI books that are out there now. A lot of them are big ideas, which I think are important. Definitely important discussions that need to be, have around, the ethics of AI. What’s the role that AI should play in the classroom. But I just wanted to write a book, kind of like the discussion that, that Jen and I were just having, which is like, “Can we just share a whole bunch of ideas, different things that we could try with our students?” So definitely check it out. And I appreciate you giving me a shout-out too. That was cool, Eric. Thank you.

Eric Cross (00:59:35):

Of course. Definitely. And Donnie, your Twitter is again. …

Donnie Piercey (00:59:39):

Oh, @MrPiercey, M R P I E R C E Y.

Eric Cross (00:59:44):

Follow Donnie. Follow Jen. Tons of stuff on there. Both of you, thank you so much. For your time, for talking about students and how we can take care of them, science, literacy, AI. I hope we can talk about this again. I feel like even if in just six months, we might be saying different things. In a year, the landscape might completely change. And that makes it really fun. But thank you both for being on the show.

Jennifer Roberts (01:00:04):

Thank you for having us, Eric.

Donnie Piercey (01:00:05):

Thank you so much, Eric. We appreciate it, bud.

Eric Cross (01:00:10):

Thanks so much for listening to my conversation with Jen Roberts and Donnie Piercey. Jen Roberts is a veteran English teacher at San Diego’s Point Loma High School and author of the book Power Up: Making the Shift to 1:1 Teaching and Learning. You can keep up with her at LitAndTech.com. And Donnie Piercey is a fifth-grade teacher from Lexington, Kentucky. He hosts the podcast Teachers Passing Notes. Stay up-to-date with him at Resources.MrPiercey.com. And let us know what you think of this episode in our Facebook discussion group, Science Connections: The Community. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And as always, we’d really appreciate it if you can leave us a review. It’ll help more people and AI robots find the show. You can find more information on all of Amplify’s shows on our podcast hub, Amplify.com/hub. Thanks again for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Jennifer Roberts says about science

“If I’m not teaching my students how to use this, then they’re not going to turn into the adults we need them to be… If we’re not at least trying to think about what our future world is going to look like, then we’re not serving our students well.”

– Jennifer Roberts

High School English Teacher

Meet the guests

Jen Roberts is a Nationally Board Certified high school English teacher with 25+ years of experience teaching Social Science and English Language Arts in grades 7-12. She has had 1:1 laptops for her students since 2008 and is the co-author of Power Up: Making the Shift to 1:1 Teaching and Learning. A Google for Education Certified Innovator since 2011, Jen was named the CUE Outstanding Educator in 2022. Her interests include literacy instruction, standards based grading, and leveraging Google tools to make her teaching more efficient and effective.

A woman with light skin and blond hair stands outdoors, framed by illustrated graphics including a blue flask and curved lines. Green foliage is visible in the background.

Donnie Piercey, the 2021 Kentucky Teacher of the Year, is a fifth-grade teacher in Lexington, Kentucky.  With a passion for utilizing technology to promote student inquiry, learning, and engagement, he has been teaching since 2007. In addition to being in the classroom, he runs a podcast, Teachers Passing Notes that is produced by the Peabody Award winning GZMShows, and holds several recognitions, including a National Geographic Fellowship to Antarctica in 2018. His most recent work in Artificial Intelligence has not gone unnoticed, earning him multiple appearances on Good Morning America, the Associated Press, and PBS. His upcoming book, “50 Strategies for Integrating AI in the Classroom” published by Teacher Created Materials, is written for educators looking for practical classroom approaches to using AI. All told, Donnie has been invited to keynote and present at schools in thirty-three states and on five continents.

A man with short brown hair and a beard smiles at the camera, wearing a red shirt, framed by a circular graphic with a blue flask icon.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

K-2 early literacy improvements offer hope, but persistent challenges remain

BROOKLYN, NY (February 26, 2024) – Amplify, a publisher of next-generation curriculum and assessment programs, today released a research brief on the latest K-2 middle-of-school-year literacy data. Findings reveal that while this year’s kindergarten cohort has returned to pre-pandemic literacy readiness levels, overall progress remains slow. Only 56 percent of students are on track for learning to read, and 29 percent of students are far behind.

“The return of our youngest students to pre-pandemic reading levels is encouraging—but that said, broad literacy trends in the United States are still concerning,” said Susan Lambert, chief academic officer, elementary humanities, at Amplify. “This is a moment to celebrate, but also a call to action: To prepare students for life-long success, we need all students exceeding pre-pandemic early reading levels. By regularly monitoring student progress via tools like middle-of-year data, educators can respond earlier when their students need support.”

The research brief outlines how middle-of-year data is uniquely positioned to help schools plan for instructional changes and implement those changes before the following school year.

Progress monitoring—identifying, supporting, and tracking outcomes—is one strategy schools can engage in when working with students who are the most at-risk for not learning to read. Using that data, they can provide differentiated support, developing foundational reading skills based on each student’s progress and proficiency.

Amplify encourages districts and schools to analyze middle-of-year data by school, grade, and classroom and create plans that:

  • Ensure all students receive quality instruction grounded in the Science of Reading
  • Identify students that need additional support and develop a plan for addressing their needs
  • Allocate resources for additional support and implement those plans
  • Regularly monitor progress for students and make adjustments as needed

About Amplify
A pioneer in K–12 education since 2000, Amplify is leading the way in next-generation curriculum and assessment. Our core and supplemental programs in ELA, math and science engage all students in rigorous learning and inspire them to think deeply, creatively and for themselves. Our formative assessment products help teachers identify the targeted instruction students need to build a strong foundation in early reading and math. All of our programs and services provide educators with powerful tools that help them understand and respond to the needs of every student. Today, Amplify serves more than 15 million students in all 50 states and on six continents. For more information, visit Amplify.com.

Media Contact: Kristine Frech; media@amplify.com

S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

A woman with straight, shoulder-length light brown hair smiles at the camera, framed by a circular graphic with geometric accents on a white background—perfect for a math teacher lounge or sharing math teacher resources.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

The early reading gender gap may be smaller than it seems.

Bar chart with three groups showing two bars each; values for young learners increase from beginning to end of year, reaching the highest literacy benchmarks at the end.

Amplify’s 2024–25 research brief on the latest end-of-year literacy data showed improvement in early literacy across grades K–2, with more young learners on track to learn to read and fewer far behind than at any time since the pandemic.

Compared to 2020–21, 8% more second graders, 14% more first graders, and 21% more kindergarteners were at or above benchmark.

We also found that while boys in grades K–2 score the same or better than girls of the same age in reading readiness at the beginning of the year, girls improved more during the school year, narrowing gaps and sometimes outperforming boys by end of year.

A complex picture of early readers

The data present a nuanced picture of gender disparities in early literacy.

Among K–2 students who were on track to learn to read at the end of the 2024–25 school year, boys began the year with the same or better early reading scores than girls.

Bar chart showing percent of male and female young learners in Grades K–2 on track for reading readiness in 2024–25, with scores increasing from beginning to end of year across all groups.

But in spite of this slim advantage, girls were ahead of boys by the end of kindergarten and first grade. Girls again narrowed the gap in second grade, but boys were still slightly ahead at the end of the year.

Similarities below the literacy benchmark

The story was similar for K–2 students at risk of not learning to read.

Across K–2, girls scored the same or better than boys, and the same trend emerged with students who were on track: During the year, girls showed more improvement than boys.

As a result, by the end of the year, fewer girls were at risk of not learning to read than boys.

Bar chart showing the percent of young learners in grades K–2 at risk of not learning to read at three points in the 2024–25 year, grouped by grade and gender, based on reading assessments.

Toward reading readiness

The latest end-of-year data show that student performance in early reading is at the highest levels since the lows of the pandemic five years ago. More students are on track for learning to read and fewer are far behind in grades K–2. But despite these successes, broad literacy trends across the United States remain a concern, as year-over-year progress across all early grades has slowed. As schools and districts align on priorities ahead of the new school year, they must take into account students who are learning to read. It’s important that schools and districts invest in a reliable universal screener, high-quality core curriculum, evidence-based interventions, and professional development.

“Grades K–2 remain critical years for literacy development,” said Susan Lambert, Chief Academic Officer of elementary humanities at Amplify and the host of Science of Reading: The Podcast. “To support young readers, educators need data-driven insights into student reading development and instructional practices that are based in the Science of Reading.”

Teachers and administrators can best support all students with data-driven strategies and tools for reaching literary benchmarks, including:

  • Administering elementary reading assessments three times a year to monitor student risk level for reading challenges.
  • Supporting students at risk for not learning to read by analyzing data from reading assessments and making informed decisions.
  • Allocating extra classroom time and resources to help students who aren’t on track.
  • Monitoring progress and making adjustments as needed.
  • Ensuring that evidence-based reading instruction is offered at every grade level.
  • Instilling a love of reading in and out of school, in partnership with caregivers and community.

How we gather data

Amplify mCLASS, our teacher-administered literary assessment and intervention suite for grades K–6, is powered by Dynamic Indicators of Basic Early Literacy Skills (DIBELS) 8th Edition—an observational assessment collected by teachers interacting with students one on one, either live or over video, typically administered three times a year (beginning, middle, and end of year).

At the end of the school year, our report highlights reading scores by comparing Amplify mCLASS with DIBELS benchmark data from the preceding six school years (2019–20 through 2024–25).

Our data represent approximately 250,000 students in a matched set of 1,400 schools in 43 states. The schools in the source data are slightly more likely to be in large urban metropolitan areas than the nation overall, but perform comparably to the much larger mCLASS national population.

Additional resources

Let’s keep the conversation going! Join the discussion in our Amplify learning communities.

Dive into the findings in our End-of-Year Report.

More to explore

Science of Reading: The Podcast

Beyond My Years podcast

Science of Reading

Science of Reading: A New Teacher’s Guide ebook

Desmos Math 6–A1 correlations with Carnegie Math Texas

To view this protected page, enter the password below:



Families and caregivers, welcome to Amplify Desmos Math 6–12!

Welcome to the Amplify Desmos Math Grade 6–Algebra 2 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey. 

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Person wearing a construction hat and safety vest in a wheelchair, discussing with a phone and controlling the placement of a large triangular piece in a construction setting, with math symbols around.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources are available in both English and Spanish, as well as a glossary of key terms in both languages.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Decimal Arithmetic

Unit 6: Expressions and Equations

Unit 7: Positive and Negative Numbers

Unit 8: Describing Data

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Proportional Relationships and Percentages

Unit 5: Operations With Positive and Negative Numbers

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Slope

Unit 3: Proportional and Linear Relationships

Unit 4: Linear Equations and Linear Systems

Unit 5: Functions and Volume

Unit 6: Associations in Data

Unit 7: Exponents and Scientific Notation

Unit 8: The Pythagorean Theorem and Irrational Numbers

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios and Rates

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Data Sets and Distributions

Course Glossary

Unit 1: Rigid Transformations and Congruence

Unit 2: Scale Drawings, Dilations, and Similarity

Unit 3: Equations and Inequalities

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponents and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers

Course Glossary

Unit 1: Patterns and Sequences

Unit 2: Linear Equations and Inequalities

Unit 3: Describing Data

Unit 4: Describing Functions

Unit 5: Systems of Linear Equations and Inequalities

Unit 6: Exponential Functions

Unit 7: Quadratic Functions

Unit 8: Quadratic Equations

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Access Amplify Desmos Math at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure they’re right.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Students take on the role of a scientist or engineer every day.

Amplify Science is a blended curriculum developed to align with the New York City PK–8 Science Scope and Sequence that meets the New York State Science Learning Standards.

Amplify Science for grades K–8 has been rated all-green by EdReports.

Read the review on EdReports.

Check out the New York City Resource Site for supporting resources designed for the New York City Department of Education Amplify Science adoption for grades K–8.

An illustration of a whale with jellyfish and turtles from Amplify Science

Begin your review

What sets Amplify Science apart?

  • Aligned to the New York City PK–8 Science Scope and Sequence, and meets New York State Science Learning Standards.
  • State-of-the-art, highly-engaging curriculum that invites students to take on the role of a scientist or engineer in every unit to solve relevant real-world problems.
  • Flexible, truly blended program that combines comprehensive print components and compelling online content with hands-on learning in every unit.
  • Robust teacher support for ease of use by a wide range of teachers in diverse classroom contexts, with carefully crafted lessons, standards alignment, differentiation strategies, and ELL supports throughout the program.
  • Embedded assessments throughout the program, including both formative and summative assessments for every grade level.
  • Authored by the industry-leading science curriculum team at U.C. Berkeley’s Lawrence Hall of Science, who have 50 years of experience in K–12 science education and who will continue to enhance and update the program for years to come. To learn more about how the Lawrence Hall of Science collected research, designed the curriculum, and field tested the program with teachers, download our research base document.

The Amplify Science approach

The scope and sequence of the program is designed to show that scientific concepts are interconnected and multifaceted. Each unit focuses on a specific learning goal in the form of an overarching unit question. Rather than following linear steps in an experiment, the program leaves room for students to make connections across concepts and make their own discoveries. In this way, Amplify Science replicates the realities and ambiguities of scientific research and thinking.

Each course in Amplify Science K–5 consists of 3–4 units, with each unit containing 22 lessons. Each lesson in grades K and 1 is written for a 45-minute session, while lessons in grades 2–5 are written for 60-minute sessions. Teachers can always expand or contract the timing to fit their needs.

Each course in Amplify Science 6–8 consists of 7-9 units, with each core unit containing 19 lessons, each launch unit containing 11 lessons, and each engineering internship containing 10 lessons. Each lesson in grades 6–8 is written for a 45-minute session. Teachers can always expand or contract the timing to fit their needs..

Download the K–5 unit sequence

Download the 6–8 unit sequence

Components overview

Amplify Science blends physical materials with a suite of digital tools, presenting students with the resources they need to investigate real-world problems, and empowering and supporting teachers as they lead instruction and gain insight into student growth and progress.

Grades K–5

  • Student Investigation Notebooks (K–2) for every unit allow students to interact with content while taking notes, answering questions, and conducting investigations. Review a sample from the Grade 2 Plant and Animal Relationships unit.
  • Student Books enhance science topics and allow students to practice reading within the science content area.
  • Instructional materials for teachers. The Amplify Science curriculum website hosts all lesson content, media, digital simulations, and more, and is the primary tool “open” for teachers during class time. Print Teacher’s Guides are included. You can view complete unit samples by accessing the curriculum at the bottom of this page.
  • Robust digital simulations and digital applications, developed exclusively for the Amplify Science program. Supported devices include: iPad 3+, Chromebook, Windows PC, and MacBook.
  • Unit Kits for each unit in the program including consumable and nonconsumable hands-on materials, printed classroom display materials, and the students books.
  • Embedded formative and summative assessments are meant to support and guide student instruction.
  • Pacing guides have been developed for teachers to support the implementation of the program.

Grades 6–8

  • New York City Student Editions enhance science topics and allow students to practice reading within the science content area.
  • Special “NYC Companion Lessons” directly target the additional standards in NYSSLS not found in the NGSS.
  • Instructional materials for teachers. The Amplify Science curriculum website hosts all lesson content, media, digital simulations, and more, and is the primary tool “open” for teachers during class time. Print Teacher’s Guides are included. You can view complete unit samples by accessing the curriculum at the bottom of this page.
  • Robust digital simulations and digital applications, developed exclusively for the Amplify Science program. Supported devices include: iPad 3+, Chromebook, Windows PC, and MacBook.
  • Unit Kits for each unit in the program including consumable and nonconsumable hands-on materials and printed classroom display materials for 5 uses of a class of 40 students.
  • Embedded formative and summative assessments are meant to support and guide student instruction.
  • Pacing guides have been developed for teachers to support the implementation of the program.

Review grades K–5

Amplify Science K-5 is an elementary science curriculum that provides teachers with the tools and practices necessary to meet the expectations of the NYSED P–12 Science Learning Standards. The program also aligns to the new NYCDOE PK–8 Science Scope and Sequence. Learn more about Amplify Science K-5 by reviewing the following::

Click the orange button below to access the digital Teacher’s Guide and begin your review.

Review grades 6–8

Amplify Science 6–8 New York City Edition is a new blended curriculum developed to align to 100 percent of the New York City PK–8 Science Scope and Sequence 2018 that meets 100 percent of the New York State Science Learning Standards. Learn more about Amplify Science 6-8 New York City Edition by reviewing the following:

Click the orange button below to access the digital Teacher’s Guide and begin your review.

Watch an overview

Watch curriculum experts walk through the Amplify Science K–5 and 6–8 programs and share information on how you can start to make the shifts to the NGSS with a literacy-rich approach to science instruction.

Ready to order?

When you are ready to place an order for Amplify Science, please reference the ordering checklist on the Core Curriculum Ordering Guide, and then head to:

Inspiring the next generation of California scientists, engineers, and curious citizens

Amplify Science California is an immersive and engaging core curriculum authored by UC Berkeley’s Lawrence Hall of Science and built specifically for the California NGSS.

An illustration of a whale with jellyfish and turtles from Amplify Science

Program overview

Amplify Science California is a brand-new blended science curriculum for grades TK–8 that meets 100 percent of the Next Generation Science Standards and the California Science Framework. With Amplify Science California, students learn to talk, read, write, think, and argue like real scientists and engineers through investigations of real-world problems and scientific phenomena, gaining the skills needed to master the California NGSS.

In Amplify Science, students take on the role of a scientist or engineer and are introduced to a relevant, real-world problem. They engage in investigations using hands-on materials, reading selections, rich media, and more to draft, strengthen, and defend their claims about the unit anchor phenomenon and how to solve the problem.

The Amplify Science assessment system is grounded in the principle that students benefit from regular and varied opportunities to demonstrate understanding through performance. Read more about Amplify assessments in Grades K-5 and 6-8.

A powerful partnership

Amplify Science California was developed by the science education experts at the University of California, Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.

The logo for The Lawrence Hall of Science, University of California, Berkeley, features blue text on a light background and is recognized by educators using Amplify Science for middle school science programs.

The University of California, Berkeley’s Lawrence Hall of Science is a recognized leader in PreK-12 science education, producing groundbreaking curriculum products for more than 40 years, including the international award-winning Seeds of Science/Roots of Reading®. The Hall’s curriculum materials are used in one in four classrooms across the nation.

Read more about The Hall’s research-proven Do, Talk, Read, Write, Visualize multimodal learning model.

The word "Amplify." is written in large, orange serif font on a light gray background.

Amplify has been pioneering digital education products for more than 15 years, empowering teachers across the country to offer more personalized instruction and accelerate the potential of their students to become more active, engaged learners. Amplify has supported more than 200,000 educators and three million students in all 50 states.

Designed in California for California

Since their release in 2013, the Next Generation Science Standards (NGSS) have raised the bar for science education. Moving the focus of instruction away from memorization and toward active engagement and critical thinking, the standards teach students to think like scientists and engineers and grapple with core scientific principles, in addition to supporting deep learning of concepts that cut across science domains. Amplify Science has been designed from the ground up to meet 100 percent of the Next Generation Science Standards and respond to the instructional shifts called for by the National Research Council’s Framework for K–12 science education (2012).

Classroom Slides (grades K–8)

Digital collage of various devices displaying educational content about earth’s energy system, including graphs and text explanations.

Science time just got a whole lot easier. With our new Classroom Slides, you can put down the Teacher’s Guide and focus on what matters most—your students. Plus, with Classroom Slides, lesson prep is as quick as a click!

Classroom Slides are:

  • Available for back to school 2020–2021, for grades 6–8. Classroom slides are already rolling out for grades K–5.
  • Downloadable for offline use, which means no more sweating unreliable internet connections.
  • Streamlined for easy lesson delivery, including lesson visuals, activity instructions and transitions, animations, investigation setup videos, technology support, and more.
  • Fully editable, allowing you to incorporate your own flavor, flair, and favorite resources.

Classroom Slides are available as downloadable PowerPoint files to help guide you and your students through the lesson with images, videos, questions, and instructions. Slides for grades 6–8 will be released on a rolling basis over the course of the 2020-2021 school year. Below you’ll find a prototype from the Earth’s Changing Climate unit.

A brochure on K–5 slides can be downloaded here.
A flyer on 6–8 slides can be downloaded here.

Transitional Kindergarten

Amplify Science TK includes three units, one for each science domain: Earth science, life science, and physical science. The physical science unit includes an engineering design challenge.

Three circular icons representing Earth Science (sun over horizon), Life Science (butterfly and leaf), and Physical Science (book and magnet), each labeled below with its respective field.

Units are structured to allow you to make decisions about how best to teach your students and include options for whole-group, small-group, and center-based instruction.

Learn more about the program.

Start your review

If you have received Amplify Science California materials for review, fill out the form and select the course model you are interested in to access the digital Program Guide and supporting materials. For technical questions regarding your review, contact support at (844) 505-4621 or CAreviewersupport@amplify.com.

Personalized learning grounded in the Science of Reading

Surveying the landscape

Recent data shows that far fewer young students are on target for reading proficiency than in previous years. In fall 2020, kindergarteners were 6 percent less likely to be on track in reading than they were in the 2019–20 school year.

How do we reverse these trends? A personalized learning program steeped in research-based literacy practices can be your first step. In this blog, we introduce personalized learning programs for early literacy, discuss why they should be aligned with the Science of Reading, and outline the key features that all effective personalized learning programs should have to support ALL students.

What is personalized learning?

“Personalized learning in literacy education is an approach in which teaching and other learning experiences build on each student’s strengths, address each student’s needs, spur student motivation and agency, and help all students meet grade-level standards and, ultimately, achieve college and career readiness.” 

— Student Achievement Partners

Achieve the Core outlines a set of key components every personalized program should include to accelerate literacy:

— Achieve the Core, 2020

How can I bring the Science of Reading into personalized learning?

Not all personalized learning programs should be treated equally. Programs should provide explicit, systematic foundational skills, continue to build background knowledge, and support core Science of Reading instruction. Focusing on the things we do while we’re reading that allow us to make sense of text — also known as comprehension processes — is a key component of supporting beginning readers.

How will I know if a personalized learning program is based on research about how children learn to read?

We’ve provided a checklist of key features to look for when selecting a personalized learning program grounded in the Science of Reading.

1) Look for a program that complements your Science of Reading instructional practices.

The content of a personalized program should support your core Science of Reading instruction.

Look for research-based instruction aligned to Scarborough’s Reading Rope, a focus on comprehension processes and language structures in addition to foundational skills, and personalization that adapts based on student needs.

2) Look for a program that employs a whole-child approach.

A whole-child approach focuses on students’ individual strengths and needs.

Look for targeting of skill practice at the just-right level in ALL areas, a focus on students’ individual strengths as well as their needs, and more opportunities for success, all of which build student confidence.

3) Look for a program that uses an adaptive scope and sequence.

In an adaptive model, students progress along a unique pathway through a learning map that adapts based on their performance.

Look for full adaptivity — where students progress along a pathway that adapts on multiple dimensions, not just one. The program should offer data to place students into personalized pathways and continue to analyze student performance data to determine the skills they practice and when.

4) Look for a program that acts as a digital tutor to save teachers time.

A program that aims to save you time provides students with differentiated instruction and pathways when they’re really struggling.

Look for a program that provides scaffolding and differentiated pathways to students when they’re struggling, and offers precursor and ancillary skill development and advancement opportunities before revisiting challenging content. Programs should alert teachers with targeted resources to support students and keep them moving.

5) Look for a program that motivates students intrinsically.

Programs that focus on intrinsic motivation leverage a growth mindset theory to ensure that students have fun while they learn.

Look for a program that rewards persistence as much as performance and ensures students have fun while they learn.

Personalized learning supplemental tool: Amplify Reading

Amplify Reading is a personalized learning program powered by the Science of Reading. The program blends compelling storytelling with research-based instructional practices to offer:

  • Personalized instruction across 13 different critical skill areas that adapt to each student’s needs while building on their strengths.
  • Explicit practice in comprehension processes, phonics, and vocabulary.
  • Extra support and scaffolds for struggling readers and English learners.
  • An immersive game-play design that motivates students and makes learning to read fun.

To learn how this program can accelerate reading growth in your district, request a personalized walkthrough below.

Request a walkthrough

Amplify Reading – Amplify Reading

Proven to boost critical reading skills and captivate students Based on the science of reading, Amplify Reading…readingsuccess.amplify.com

Work cited

Liben, Meredith, et al. “What Principles Must Underlie Successful Personalized Learning?” Peers and Pedagogy, 27 Oct. 2020

New study provides evidence that assessing multilingual students in their home languages can improve educational outcomes

new Amplify study of K–3 Spanish-speaking multilingual learners (MLs) shows that more of these students were identified as at risk for not learning to read when their early literacy skills were measured only in English.

Read the research brief. Findings reveal that using only English-language assessments for early literacy can lead to a higher rate of misidentifying Spanish-speaking MLs as at-risk for reading difficulties, underscoring the importance of comprehensive dual-language assessments that help educators better understand their students’ early literacy skills.

For the study, Amplify analyzed data from an intact group of Spanish-speaking MLs in grades K–3 who have Spanish literacy data from mCLASS® Lectura assessments and English literacy data from mCLASS DIBELS® 8th Edition assessments at the beginning, middle, and end of the 2023–2024 school year.

Responding to changing demographics

Changing demographics in the United States public school population necessitate the availability of reliable and valid universal screening assessments for literacy in languages other than English. In 2020, for example, approximately 5 million public school students—10 percent of all students—identified as MLs. For the majority of these students (75 percent), Spanish is one of the top five languages spoken in their state. Unfortunately, an English-only approach to screening bilingual students may underestimate their knowledge and skills, given that limited English proficiency can adversely affect a student’s performance on English measures. Moreover, an English-only approach to assessment fails to capture the knowledge and skills MLs have in their home language that can be leveraged to support their English literacy development through processes of cross-linguistic transfer.

The importance of bilingual assessment

When MLs are assessed in English only, the skills students have from another language may go unrecognized. Educators may see these students as generally struggling readers simply because they are not able to demonstrate fully their literacy skills in English. However, these students likely have knowledge and skills in Spanish and may need support transferring those skills from Spanish to English. Assessing students in their home languages enables educators to identify areas of strength and areas that require further support, ensuring a more comprehensive assessment of their overall language and literacy abilities.

A dual-language approach to early literacy assessment has powerful implications, including:

  • Providing more accurate information about whether students need intervention.
  • Giving educators a more complete understanding of students’ literacy skills, including which skills they possess in each language.
  • Helping educators support students’ language development needs with more precision.

“Although the availability of universal screening assessments for Spanish-speaking MLs has increased in recent years, it’s still not where it needs to be,” said Kajal Patel Below, vice president of biliteracy at Amplify. “Our hope is that this study will shed light on the extent to which the identification of reading intervention support varies for MLs when assessed in both their home language and in English.”

Supporting student literacy development in both languages

A dual-language approach to literacy assessment for Spanish-speaking multilingual learners provides educators with a more comprehensive understanding of students’ literacy development in both languages, highlighting student strengths and bringing to light opportunities for improvement. As the data included in this brief indicate, significantly greater percentages of Spanish-speaking MLs were identified as needing intervention when assessed only in English, providing further evidence that a monolingual approach to assessment fails to capture students’ true range of literacy skills.

Read the full report for more insights and recommendations.

More about the study

The goals for this study were to better understand the extent to which the identification of reading intervention support varies for Spanish-speaking MLs when they are assessed in Spanish and English. Amplify analyzed data from an intact group of Spanish-speaking MLs in grades K–3 who have Spanish literacy data from mCLASS Lectura assessments and English literacy data from mCLASS DIBELS 8th Edition assessments at the beginning, middle, and end of the 2023–2024 school year.

During the 2023–2024 school year, more than 212,000 students in grades K–6 were assessed at least once with mCLASS Lectura. These students were enrolled in schools located across 30 states and the District of Columbia (representing four census regions and all nine census divisions) and one country outside of the United States. Of these, the data for this study were from students who had assessment scores from beginning, middle, and end-of-year in both Spanish and English. Our sample includes more than 21,000 Spanish-speaking MLs in grades K–3 who have data on both assessments at all three times of year.

S3-03: Instructional strategies for integrating science and literacy

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

We’re continuing our investigations around science and literacy with Doug Fisher, Ph.D., professor and chair of educational leadership at San Diego State University. We talk about the importance of integrating science and literacy, as well as practical guidance for teachers who want to unite the two disciplines in their own classrooms.

Listen as we discuss how science and literacy can be powerful allies and specific strategy areas to focus on when integrating the two disciplines. And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Douglas Fisher (00:00):

It’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. This season, we’re making the case for our favorite underdog, which of course is science. Each episode we’re showing how science can be better utilized in the classroom, and making the case for why it’s so important to do so. In our last episode, we examined the evidence showing that science and English instruction can support each other. And now on this episode, we want to give you some more strategies for really making that a reality in your own home or classroom or community. So to help me, I’m joined on this episode by Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Dr. Fisher is actually someone who has conducted literacy training at my own school, so I’m excited to be able to share some of his wisdom with all of you. Oh, and just a heads up, Dr. Fisher dropped some gems about the ways teachers can integrate literacy and science in their classrooms. So you may want to have a notepad. Ready. And now here’s my conversation with Dr. Douglas Fisher.

Eric Cross (01:12):

Well, Doug, thank you for your time and for being willing to come and talk about literacy and science. I know you’re busy, all over the place, and so I was super-excited that we were able to lock you in and talk about this. And, on this episode, we’re gonna talk about the ways that science and literacy can support each other. And one of the reasons why I’m really excited for you is because you said some really key things for me as a science teacher, when you talked about literacy and supporting students. That just resonated so deeply in me. And I was like, “I need more Doug!” Because we’re on that same frequency. And I know it’s a subject that you’ve spent a lot of time writing about. So can you tell us a little bit about how this became an area of interest or a passion for you? Just literacy, and all of the work that you’ve put into it?

Douglas Fisher (01:54):

Yeah. So I’ve wanted to be a teacher for a really long time. And I went to San Diego State as an undergraduate, and I was taking English class and we were assigned topics. You know, like, you’ll do an assignment, you’ll write a paper for this English class. And I got the topic “illiteracy,” and I was a freshman at San Diego State reading all of these things about adults who don’t read very well or not at all. And I ended up writing my very first college essay on illiteracy — at the time, you know, called illiteracy, at the time. And so I got super interested in this. And so as I moved through college and into my teaching career, literacy became a really important thing for me to think about, because it’s the gatekeeper. You know, you can be taken advantage of, if you’re not very literate. People can use vocabulary against you, if you’re not very literate. We know that people who have higher levels of literacy have better health outcomes. They have better lifespans, longer lifespans. I mean, there’s just — literacy impacts so much more than “Are you reading your fourth-grade textbook?” It really has lifelong implications.

Eric Cross (03:01):

That part that you said about being taken advantage of … I just got a flyer in the mail yesterday. It was one of these mailers that looked like it was an authentic debt-reduction type of thing, but it was really just like a marketing email. If you read the fine print at the very bottom, it had all of this jargon about “This is a paid, you know, for-profit company.” But when you look at it, it had official stamps all over it. And I could imagine if someone’s receiving that, that probably fools a lot of people. Is that kinda like what you’re talking about, like being taken advantage of?

Douglas Fisher (03:28):

Yes. I had a student turn 18, got a letter from a “credit card company” that was offering her daily compounding interest. And if you don’t know what that means — at 23 percent! — if you dunno what that means, you are gonna be a victim. Literacy really influences a lot of our life. It’s also how our brain works. We have a language-based system in our brain. We read, write, speak, listen, and view. And the things we learn, we learn through speaking, reading, writing, listening, and viewing. From what we know, we are the only species that has an external storage mechanism. Like, we have the ability to store complex information outside of our body, in the form of notes. We can type them. We can write them. And we can then go back and retrieve that information, that complex orthographic information later. And it means the same thing. We can say we have a storage system and we’ve been doing this for a really long time. Way back to, you know, hieroglyphics and messages on cave walls. And throughout the ages of humans learning, how to store information that they can re-access again later. That’s become a super-complicated system. It’s how computers operate. And we send messages to each other and we text each other and we write things down, and we’re really good at putting ideas, information out there. Now, if it’s just speaking and listening, then we can forget it. We can say, “No, you said this,” or “I said that.” But when it’s written, and it’s print literacy, you know, it’s the orthographics there, you can go back to the same message and over and over again. Now, you might change the interpretation of it, but the message is still there.

Eric Cross (05:16):

Right. And that is such a key element, at least of modern education, is this written element of it. It’s what many schools live and die by. They’re quantitatively and qualitatively analyzed by it. It’s public. They can see it. And so there’s this heavy emphasis. And why do you think science and literacy can be powerful allies together?

Douglas Fisher (05:38):

Awesome. Well, it’s hard to learn science if you’re not literate.

Eric Cross (05:42):

This is true.

Douglas Fisher (05:42):

But that’s a one-way direction. And yes, science teachers and scientists do a lot of reading, writing, speaking, and listening and viewing. They use the five literacy processes all the time. When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences, you know. So a huge part of the work of a scientist is not just at a bench conducting experiments. But even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment. So that’s a one-way direction. And I do think literacy has an influence on science. But since science goes the other way, it influences literacy. As you learn more and you understand more about the world, your background knowledge grows, your vocabulary grows, you become more literate in those different areas. And how you think. So if I’m learning about life science; I’m learning how the world works in a more, biologic physical world. And that knowledge helps me think about when I’m reading a novel, and there’s an appeal to some science knowledge or a concept that gets played with, you know, perhaps time-space continuums … well, if I don’t have the science knowledge of how I think the world works, it’s hard for me to understand what this author is doing. So it does go both ways. They feed each other. And the more literate we become, the more complex science information we can understand. ‘Cause our background knowledge and our vocabulary influence how much we understand about what we read. And as we access more complex science information, it starts to change the way we think about other things in our world.

Eric Cross (07:23):

There was a couple of things that you said in that, but one of the first things that kind of perked my ears is when you said grant proposals. Because I have friends that are scientists — and this is one of the things that when I was in school, they don’t talk about — but how much of their research is reliant upon getting funding —

Douglas Fisher (07:37):

Mm-hmm. <affirmative>,

Eric Cross (07:38):

— which you don’t think about if you’re becoming a chemist or a physicist or a biologist or working in the field, is that that funding, coming from the NSF or anywhere else. And sometimes students ask in class like, “Why am I writing so much? Like, I want to go into science!” Or “I wanna do this!” And this is a real-life example of how the writing could actually apply, in addition to all of the things of collecting data and conclusions and results. But that grant proposal thing just really perked my ears, yeah.

Douglas Fisher (08:01):

And if you can’t write a grant proposal, your ideas and experiments are not gonna get funded. And if you can’t write a strong proposal, that compellingly convinces your readers to fund you, you’re not gonna get funded. But then once you get the grant, you have to write publications. You have to share your work with other people. Make PowerPoint presentations and write journal articles or books or whatever. So it’s a cycle that literacy influences the things we do, including the things we do in science.

Eric Cross (08:31):

Now to get in maybe some data, if you were trying to convince someone that like this happy marriage can exist, what would be like your number one piece of evidence to support this, this back and forth of supporting each other?

Douglas Fisher (08:44):

Awesome. So the quote I’ll often say — and this is from studies from more than two decades ago now — but in general, in high school science, students are introduced to 3000 unfamiliar words, 3000. Each year! Because there are words that are used in a scientific way that are used commonly in other places. And there are discipline-specific words. So 3000 words a year in high school science. The Spanish 1 textbook only has 1500 words in it. So science teachers have double the academic-language vocabulary demand that a typical introductory world-language class has. So just the vocabulary alone should say to us, literacy is gonna be important if you’re gonna learn science. And if you don’t understand these technical words, and you don’t understand the way science uses this particular word in this particular way… . When you say the word “process,” it means something very specific In science. “Division” — cellular division is not the way we think about it in mathematics; there’s a similar concept, but cellular division is different than dividing numbers. And those are words that get used in multiple areas. Then you have all these technical terms that you have to be able to use, to understand the concepts. To share the concepts. To talk to other people. Whether you’re in, you know, fifth grade and talking science, or you’re a university professor, there’s a shared language, appropriate for our grade level, that we have shared meanings of.

Eric Cross (10:22):

And we’re essentially … what I’m hearing you say is … most of the people that are listening to this are science teachers. We’re we’re also language teachers. In a sense.

Douglas Fisher (10:29):

So my frustration is when people say, “Every teacher’s a teacher of reading.” And I don’t like that. I’ve written against that phrase. I don’t think all teachers are teachers of reading, any more than all teachers are teachers of chemistry. Or all teachers are teachers of algebra. But what I will say is the human brain learns through language. And all of us — every teacher that I’ve ever met understands that language is important in my class. If my students don’t have strong listening skills and speaking skills; reading, writing, and viewing skills; I’m gonna have a hard time getting them to learn things. If I can help them grow their speaking, listening, reading, writing, and viewing in my content area, I’m gonna do a service for my learning of my subject and also their more broad literacy development.

Eric Cross (11:16):

  1. So, at a high level, what does it look like to integrate science and literacy? We’ve done education for the last, what, hundred years?

Douglas Fisher (11:24):

Mm-hmm. <affirmative>

Eric Cross (11:25):

—kind of pretty similarly, right? Kind of siloed way. What does this look like at the 30,000-foot level? You’re a professor, department chair. Run schools. Speak everywhere. Like, when you think about this from that high level, what does it look like?

Douglas Fisher (11:39):

A high level? Every time I meet with students in a science class, you know, biology or fifth grade or whatever? They should be reading, they should be writing, they should be speaking and listening. Every class. So what print do you want them to access? And it can be a primary source document, it can be an article, it can be from a textbook. Are they reading something? Are they writing to you? Because writing is thinking. If they are writing, they are thinking. As soon as their brain goes somewhere else, they stop writing. The pen won’t move or the fingers don’t type. And then speaking and listening, of course, is the dynamic of our classes. So every day we should see some amount of reading, writing, speaking, and listening, viewing in our classes. That’s at a high level. There are some generic things that seem to work across the literacy. So, learning how to take notes. Focusing on vocabulary. Using graphic organizers. These are generic things that as educators we can use in our classes. Then there’s more specialized things. So, scientists and science teachers think differently than historians and literary critics and art critics. So scientists, if you look at the disciplinary literacy work, there’s a whole body of research where they interview and study high-end experts in their field: chemistry, physics, biology, et cetera. And there are some characteristics that were more disciplined, specific. Scientists like cause and effect relationships. They look for them when they’re reading. They like sourcing information. “Where this come from?” “What’s the history of this idea?” Scientists have a long view in terms of time. Historians have a shorter view of time. English teachers have even shorter view of time. Scientists tend to think in long periods of time. And so all of that influences how a scientist reads and how we should apprentice young people after they get past the generic “I know how to take notes. I know how to study my vocabulary. I know how to do summary writing for my teacher in my notebooks and things,” there’s some generic tools. Once we get past those, we need to be looking at specifically how do people in science use literacy.

Eric Cross (13:52):

I’ve never had my thought process of reading deconstructed just now, but we just described how scientists read. I was like, “Yeah, that’s pretty much how I read, right there.” I also like how you said how we should apprentice young people. And I feel like you as the literacy guy, you chose that word very specifically, as far as apprenticing young people. That is a view, I think, that’s really important to hold. ‘Cause that’s what we’re doing essentially … is, if we’re doing what we should be doing, we are apprenticing these young people.

Douglas Fisher (14:18):

Yes.

Eric Cross (14:18):

And helping them develop. Now, let’s imagine there’s a listener out there and they’re interested in getting better at integrating science and literacy instruction. They want to start somewhere. Before we dive in, do you have any initial words of encouragement for the person who’s like, “Everything is like a priority right now,” in their classroom or in their world?

Douglas Fisher (14:37):

Yeah. So I’ll talk about elementary for just a moment. When we’re reading informational texts in our literacy block, we should be reading information that is aligned to what kids need to learn in science and history in, in that grade level. Why are we reading things that are gonna be in conflict with what they’re gonna learn in science later that day in fourth grade, for example? So when we look at our standards, our expectations, what is it that third graders need to know in history, science, mathematics, language arts? And when we’re reading text and we’re learning to apply our reading strategies during our literacy block, why aren’t we reading topics that build our background knowledge for our science time? So we’re seeing some synergy there. We should be looking at life cycles in grades that are appropriate for life cycles and knowing there’s more to life cycles than the frog and the plant or the seed. There are all kinds of life cycles. And we call ’em life cycles for a reason. That’s a general concept. Now in science, we’re looking at this particular lifecycle right now. And so that’s a high level. If we could get more connection to the content standards during our literacy blocks, it would be very good. When we talk about the time at which we call “science” in the day, in more of the K–8 continuum, the science needs to include some primary source documents. Some real things that students are reading. Read about a scientist; read about a scientist’s discovery; read about what they discovered. So that we’re building our background knowledge. So when we go to do things, activities, labs, simulations, we have background knowledge and we understand what we’re experiencing. It can’t be like—I watched this awesome lesson on lenses and the teacher had all these different lenses in the room and the students came in and they were brand new. They don’t know anything. They were picking ’em up. They’re exploring them. They’re trying to figure out, and they’re trying to come up with theories about what this is and how it works. And then the teacher gave them a reading, a short reading, on refraction of light. And they read this thing. And the clarity that they had about what these lenses must do, well! All of a sudden they’re putting them up to the lights! They’re asking if they can go get the lights out of the storage unit! ‘Cause there’s — and they’re shining different lights through the lenses to see what happens to the light. Because that little bit of reading turned some focus on for the students. And it allowed them to take what I’m thinking about, what I’m trying to figure out, how this thing works in another direction. That’s the power of using literacy in our classes.

Eric Cross (17:20):

And what I’m hearing essentially is transfer across disciplines, across content areas, ultimately. And in an elementary school classroom, would it be fair to say, probably the teacher has more autonomy to be able to do that, since they’re teaching all the subjects? But secondary, logistically, planning and those types of things … from what you’ve seen, is it fair to say this kind of needs to be like a top-down, full vertical alignment, to teach like this?

Douglas Fisher (17:45):

I think that would be awesome to do that. But if I’m a sixth grade English Language Arts teacher and I’m working with my sixth grade science teacher, the conversation should be, “What units are you teaching?” Because I’m choosing informational text. My job is to teach them how to find central ideas. My job is to teach them how to find the details in the text. My job is to have them make a claim and support that claim with evidence. The stuff I use is generic. Yes, we do read some literature and some narratives, but we also read about 50% of the text in English around informational text. So if I can help you and accomplish my standards as well, fantastic. So let’s have this conversation and say, “Oh, this is what you’re teaching in science in the next three weeks? I’m gonna choose some texts and we’re gonna analyze ’em for central idea. We’re gonna analyze ’em for details. We’re gonna, for mood or tone or whatever that we’re teaching. And by the way, I’m building background knowledge. So when they come to you, they know some stuff about what you’re going to be teaching next.” So I don’t think it’s impossible to say teams of teachers could come together and say, “What do we believe that our students need to know and learn and be able to do? And then how do we choose things that are gonna help them accomplish exactly that?”

Eric Cross (19:01):

And that’s empowering. Because that’s one thing that we can control maybe is this East-West, peer-to-peer, different content areas. A system may not be able to change as quickly, but I can definitely go talk to my English team or math team and check in and kind of see, “Hey, where do we have overlap in that?” And I know the times that I’ve accidentally had overlap with the teams, it’s super-exciting. And the students have been more bought in! Because it’s like, we’ve done something on the human microbiome and we’ve talked about genetics and all these different things, and then when they read The Giver, or they read some book about genetics, they have all this knowledge. And they’re excited. And they talk about colorblindness or they come to my class and they’re like, “Hey, we read about this!” It’s almost like they saw a magic trick, the fact that these things linked up. And the engagement has been so much higher when it’s the same content in different classes, but through different lenses. At least, that’s what I’ve seen in my years of teaching.

Douglas Fisher (19:54):

I saw a lesson on space junk that was so cool. Middle-school students learning space junk. And the history teacher had a part of it, science teacher had a part of it, English Language Arts teacher had a part of it. And these students, I mean, you watch them look up all the time, ’cause there’s space junk up there. Where’d it come from? Why is it there? What are the politics of this? How do we clean it up? I mean, it was just so interesting to watch them when the teachers came together. And the teachers met their standards in this couple-week-long space-junk exploration. Investigation was met. Politics was met. All these different things. Economy. You know, how much does it cost to clean up this problem? So there’s really cool opportunities when teachers come together and realize we can work together and improve the literacy and learning of our students.

Eric Cross (20:50):

Absolutely. So before this recording, we picked your brain a bit. And I know that there were three specific strategy areas that you wanted to touch on. And one of those — which is kind of coming back to the 3000-words language teachers — was vocabulary. So what are the opportunities that you see, as far as the way of educators to approach vocabulary? Because, you know, there’s a lot. We got a lot of it. The 3000 words.

Douglas Fisher (21:14):

Yeah. There’s a lot of it. So the worry is, we make a vocabulary list and have students look up the words in definitional kinds of things. That’s not really gonna help. Students need to be using the words. They need to be using the words in their conversations, in their writing, in how they think about your content in science. So vocabulary is a huge predictor of whether or not you understand things. Vocabulary is also a pretty good predictor if you can read on grade level. So when we think about vocabulary, there’s something called word solving. You show students a piece of text and you’re reading it, you’re sharing your thinking, and you say, “Oh, here’s a context clue!” Or “I know this prefix or suffix or root!” And in science, a lot of the words are prefixed, suffixed, or root words. We tend to add things together with a lot of prefixes and suffixes and have roots and bases in science. So we can help students think about, “Oh, what does geo- mean? We already know what geo- means here. It means the same thing in this word. Let’s apply that knowledge.” So word solving is part of it, showing students how we think about words that we might not know. The second is more direct instruction of vocabulary. As students encounter the words, we work on what it means, how we say it. We practice it a few times. The process is called orthographic mapping. It’s kind of a scientific idea here. But you have the sound and the recognition of by-the-word, by sight, and what it means. And your brain starts to automatically recognize that word in the future. So I don’t have to slow down, disrupt my fluency, and try to figure out what the word is saying. ‘Cause I’ve seen it enough. I’ve heard it pronounced enough, I’ve pronounced it enough, and I know what it means. So teachers should be saying, “What words in sixth grade science, what words in third grade science, do my students really need to know?” And I’m gonna have them encounter those words over and over. I’m gonna have them use the words. I’m gonna have them see the words. I’m gonna have them say the words. I’m gonna say the word and we’re gonna be over and over with these terms, so that students incorporate them into their normal view of, “These are the things I know about the world.” By the way, when they go to read that next thing, and they understand “geology,” you know, for sixth graders, for example, they know how to say it. They don’t stumble on it. And it activates a whole bunch of memories in their brains. “This is what geology is.” There are branches of geology, there’s physical geology, there’s all this thinking that activates as they read.

Eric Cross (23:35):

There was a practice that I participated in and am trying to incorporate — I don’t know what the name of it is. But essentially what happened was we were dissecting a flower. And the instructor had us name parts of the flower. But we got to come up with our own names for it.

Douglas Fisher (23:49):

Ah.

Eric Cross (23:50):

So, for instance, the stamen we call “the fuzzy Cheeto.” And we all used our own words and then everything was legitimized. And so we went through and learned the whole activity using our own vocab words. But then, in the end, after we presented and talked about it, then the words, the actual academic language was attached to our word. And we were able to say, “OK, the fuzzy Cheeto is the stamen,” and this, this, this, and this. But it was such an interesting practice, because it kind of legitimized all of our definitions. But we weren’t stumbling on these long Latin terms and things like that. Is there a name for that? Or. … ?

Douglas Fisher (24:29):

Yes. I don’t know the name for that. I think it’s really smart. So here’s what I would say about that, is: we don’t learn words, we learn concepts. Words are labels for our concepts. So what that teacher did for you was allow you to develop concept, a concept knowledge. “There’s a part of this plant, it goes like this, we’re gonna call it fuzzy Cheeto. Now I have this concept. And look, it occurred in all these plants. And those people called it that and that other group called it that. We called it a fuzzy Cheeto. Here’s the part of it.” And then the concept is in your brains. And the teacher said, “It’s really called stamen.” And it’s an instant transfer, because you already had the concept. What we often see is students are trying to learn a really hard academic word and the concept for the word at the same time. And so it slows down the whole process. And there’s higher levels of forgetting. Because human beings, we don’t learn words; we learn concepts. If you don’t have the concept, if I gave you a word out of the blue that you’ve never seen, never heard, and a week from now I asked you to remember it, you probably would not, because it didn’t register. It wasn’t part of your schema. You didn’t have a way to organize the information. You don’t have a concept. So that teacher? It’s a great idea. Got you to develop concept knowledge. And then said, “Here’s a real label for it: What some other people called it when they had the chance to come up with their own names.”

Eric Cross (25:50):

Shout out to my teacher, who was—

Douglas Fisher (25:51):

Right.

Eric Cross (25:52):

It was learned then. It was a great practice. And the fact that you’re right, like, I just mean from my own personal experience, I agree that learning concepts versus complicated words. And it’s interesting that you said higher levels of forgetfulness, you know. And you often hear that complaint about it: “Students forget! Students forget!” But this complex topic and this complex word that’s new to me, and I have to remember both of those things.

Douglas Fisher (26:12):

That’s right.

Eric Cross (26:13):

And the other neat thing that it did, is it actually honored the background and like the founts of knowledge of all the different groups in the classroom. You just said something about “this group called it this and this group called it this,” and so by letting different groups share all of those names, now we’re starting to build these kind of interesting connections. That’s at least what I remember experiencing. And so this, even this practice of this approach is very layered, beyond just kind of generating new knowledge of things. So I appreciate that aspect of it. Now another area that you mentioned was complex text.

Douglas Fisher (26:41):

Yeah.

Eric Cross (26:42):

And how we can get students into complex text. So what can we do there?

Douglas Fisher (26:46):

I think science is an ideal place to get students reading things that are hard for them. And I do believe that some parts of school should be a struggle. Not all day, every day. But there should be doses of struggle, which are good for our brains. And these complex pieces of texts that don’t give up their meanings easily allow students to go back and reread the text and maybe mark the text and talk to peers about the text and answer questions with their groups. And the whole point of complex text is to say, “We persevere through it. We may not understand it fully on our first read. But we go back and we might underline, we might highlight. We might write some margin notes. Our teacher might say, ‘What did this author mean here?’ And we go back and look at that part and we take it apart. What do we think about that? And we talk to each other. It’s showing that when we read things, we work to understand. We work through our thinking, often in the presence of other people. And our understanding grows as we go into the text over and over and over again.” So I said geology earlier. There’s about a two-page article on “what is geology” that sixth graders often read. And some kids find it super boring. It’s a once-read, “OK, geology, I don’t really understand it. There’s a bunch of words in here that I don’t understand.” But if you go back to it a few times and you start taking apart, “What are the branches of geology? Oh, I’m gonna go reread that.” How are these two branches related to each other?” “What are the subtypes of each branch of geology?” “How do geologists do their work?” You start asking questions where students are going back into the text. You spend a little bit of time. Now, the introduction to geology, the students know so much more. So whatever you do next— video experiments, whatever—they have a frame of reference, because of that deep, complex read. It’s probably better than simply telling them, “Here’s the information.”

Eric Cross (28:45):

Right. And I even feel like as an educator, when I reflect on my own learning in the classroom, and then looking at it through the perspective of an educator <laugh>, you find this difference between how you were taught and then what the data says good teaching is.

Douglas Fisher (28:59):

Mm-hmm. <affirmative> mm-hmm. <affirmative>.

Eric Cross (29:00):

It’s so easy to slide back into how you were taught!

Douglas Fisher (29:02):

Yeah.

Eric Cross (29:02):

Even though, you know, you mentally assent to, “This is the best way. This is the data shows.” And you find yourself kind of sliding back at times.

Douglas Fisher (29:10):

Yep. And there’s good evidence to support what you just said, that most people teach the way they experienced school. And it is very hard to change that. And people have studied this. And it’s very hard to change that. Because it worked for us. And we have an n of 1, and it worked for us. Now, remember, there were a whole bunch of other kids in the class that it may not have worked for. And we chose to be in school the rest of our lives, and some of your peers did not choose to be in school the rest of their lives. In fact, some of them hated school and found no redeeming qualities of their experience. So just because it worked for us in a case of one, n of 1, doesn’t mean it worked for all of the kids, or even the majority of them.

Eric Cross (29:57):

Very well said. It’s that, what is that, the survivor bias? Survivorship bias? Where you were the one that made it. But you don’t think about all the other folks. ‘Cause we’re thinking about ourselves.

Douglas Fisher (30:05):

That’s right.

Eric Cross (30:06):

Great case for empathy too, is thinking about the people left and right. Because my friends are like, “I hated science.” And I say, “Who hurt you? Like, what did they do? It’s so amazing, so much fun!”

Douglas Fisher (30:16):

“What happened to you? Science is the coolest. Right? It’s so amazing!”

Eric Cross (30:21):

But I also had a unique experience in seventh grade with my teacher who did some of these things, and made it accessible for so many of us, in opening opportunities that I wouldn’t have had otherwise. But you’re absolutely right. That was my story. That wasn’t the story of everybody that was around me. And I think that’s really important. Now, I know this is also a big one for you, but I wanna talk about writing. What are the opportunities that you see in terms of writing specifically?

Douglas Fisher (30:51):

So would love it if science teachers had short and longer writing tasks in the science time. Of course, you can integrate some of the science writing, the longer ones, in the English language arts time, especially if you’re the elementary teacher and you can have control of the whole day. But I said this earlier; I’ll say it again. Writing is thinking. While you are writing, there’s nothing else you can do but think about what you are writing. Your brain cannot do something else. So if a science teacher wants to know, do their students really understand the concepts? Have them write. Now some of the shorter ones, I like something called “given word” or “generative sentences”: “I’m gonna give you a word: CELL. C-e-l-l. We’re in science. I want you to write the word ‘cell,’ c-e-l-l, in the third position of a sentence. So it’s gonna go word, word, cell, and then more words.” You could also say, “I want the sentence longer than seven words,” or whatever. But the key is, I’m telling you where I want the word. You will know instantly if your students have a sense of what the word “cell” means in the context of science. If they write “my cell phone,” they don’t get it. If they write about spreadsheet cells or jail cells or whatever, they didn’t get it. But if they talk to you about plant cells and animal cells and the components of those cells, and then once they have that sentence down, you can say to them, “Now write three or four more sentences that connect to that sentence.” It’s super simple. So whatever concepts you’re teaching, put ’em in a specific position. Now you don’t have to only put it in the third position. You can say the first position, the fifth position, the fourth position. But it forces them to think about what they know about the word and then how to construct a sentence for you. That’s a very simple way to get some writing from your students that helps you think about what they understand. Other kinds of writing, you can have quick writes, you can have exit-slip writes. There’s something in the research space called the muddiest part, where halfway through the lesson you have them write so far what has been the least understood or the most confusing part of this lesson. And they do a quick write, right there, at the muddiest part. And as a teacher, you flip through these and you start to say, “Oh, these are the points that are confusing to my students.” So if 80% of them all have the same thing, I gotta reteach that. If these five got, “This is the muddiest part,” If these five thought, “This is the muddiest part,” these seven, “I thought this was the muddiest part,” what do I need to do? Because it’s gonna be hard to move forward if this is their area of confusion. There are also all kinds of writing prompts that have a little bit longer. My favorite one is RAFT. What’s your Role? Who’s your Audience? What’s the Format? And what’s the Topic we’re writing about? Super flexible writing prompt. When you teach something, we don’t want students to only think they write to their teacher. So your role is an atom. You are writing to the other atoms. What do you wanna write about? What’s the topic? What’s the format of it? Is it a love letter? Is it a text message? Is it … so we, we mix it up with students in saying, how do they show some knowledge through a prompt that we give them? And then of course, longer pieces as they get older. More opinion pieces through fifth grade. More claims and arguments starting in sixth grade. So that they’re starting to see, “I have to use the evidence from things I’ve learned, read, listened to, watched, and construct something: an opinion, an argument where I back it up with reasons or evidence.” And those longer pieces, you know, less frequently. The shorter pieces, pretty regularly. So the teacher sees the thinking of the students.

Eric Cross (34:29):

When you were speaking about these really creative writing prompts, there were specific students coming into mind, that were coming into mind … they’re, they’re great science students, but they also have this really strong artsy side drawing, creative writing, and things like that. And when you said something about atoms talking to each other, it elicited, in my brain, certain students that would really love this aspect of creativity in the sciences. And it’s not how we’re typically trained as science teachers, to kind of incorporate this, like you said. A book of props. But I’m imagining, like, as a science teacher, if I took this, this would be a great way to reach more students to be able to show what they know, in a way that might resonate with their own intrinsic “Oh, I get to write creatively!” So I was kind of writing furiously as you were sharing all that information there.

Douglas Fisher (35:12):

So here, I’ll give you another example for elementary people. Again, with RAFT. There’s a book called Water Dance. It’s a pretty popular book for elementary teachers. It’s really about the life cycle of water. For example, you are a single drop of water. You are writing to the land. The format is a letter. And you’re explaining your journey. Now, if they can do this, they’re essentially explaining to you the cycle of water. But you got it in a way that people are now, “Oh, I’m a drop of water. So it’s me. My perspective. Where do I go from? Where do I start?” Because you can start anywhere in the cycle, right? My drop could have started in the clouds. My drop could have started in the ground. My drop could have started in the lake. But it has to show you the journey. So there are many ways of showing you the right answers.

Eric Cross (36:02):

And that’s using the RAFT protocol.

Douglas Fisher (36:04):

That’s RAFT: Role, Audience, Format, Topic. It’s been around 20 or 30 years.

Eric Cross (36:09):

You just gave the name to something a teacher shared in our podcast community, Science Connections: The Community, on Facebook. Teacher shared a Google slide deck and on it were just three slides. And the role that the student had to have is they had to show, then tell, the story of a journey of a piece of salmon being eaten, a piece of starch from pasta being eaten, and then an air molecule in a child’s bedroom. And they had to give the path of travel and the experience from the mouth and then breaking down into protein and all those kinds of things. And this teacher shared it and I wish I knew the teacher’s name because I wanna give ’em credit, but they shared it. And so I used it with my students and then had ’em read aloud their stories and dramatize it. And they were so into it!

Douglas Fisher (36:49):

So cool.

Eric Cross (36:50):

But through it, I was able to see that they understood different parts of the body. They understood cell respiration. The whole thing. And it was fun! To watch them get so into this creative writing. And now I know the name of it. That’s been 30 years they were using RAFT. So you just talked a bit about complex texts and writing. And before we go, I wanted to circle back to something that you said, because I think it’s important, and if you could elaborate on it a little bit, about the value of struggle. Can you talk more about that?

Douglas Fisher (37:21):

Sure. I do believe in a lot of the U.S. we’re in an anti-struggle era of education. And it predates Covid. I think it made it worse during Covid. We front load too much. We pre-teach too much. We reduce struggle. We quote, “over-differentiate” for students. And there’s value in struggle. The phrase, “productive struggle” — if you haven’t heard it, Google productive struggle — it’s an interesting concept, that we actually learn more when we engage in this productive struggle. Now, productive struggle originally came from the math world, and it was this idea that it’s worth struggling through things to learn from it, that you’re likely to get it wrong, and then there was productive success. And there are times when we want students to experience success and we make sure we put things in place for productive success. But there are times where we want them to struggle through a concept. ‘Cause it feels pretty amazing when you get on the other side, when you know you struggled and you get to the other side. If you think about the things, listeners, think about the things in your life where you struggled through it and you are most proud of what you accomplished. I want students to have that. I don’t wanna eliminate scaffolding, eliminate differentiation. But I do want some regular doses of struggle. So if you look at the scaffolding, we have a couple choices. We have front-end scaffolds, distributed scaffolds, and back-end scaffolds. Right now we mostly use front-end scaffolds: We pre-teach, we tell students words in advance, that kind of stuff. But what if we refrained from only using front-end scaffolds, and we use more distributed scaffolds, when they encounter. So there’s a difference between “just in case” and “just in time” support for students. So we tend to plan on the “in advance, here are all the things we’re gonna do to remove the struggle before students encounter the struggle.” What if instead we said, “Let them encounter some struggle. Here’s the supports we’re gonna provide. We’re gonna watch; we’re gonna remove those scaffolds, and allow them to have an experience of success, where they realize, ‘I did it. I got it.’” Every science teacher I’ve ever worked with, when they do an experiment or a lab or simulation, they are looking for productive struggle. They don’t tell the answers in advance. They don’t tell if the answers are right. That’s your data. What does your data tell you? I mean, this is what you do. But then the other part of your day when you move into, like, reading, you don’t do that. You fall into the trap of removing struggle. And so allow them to grapple with ideas. Allow them to wonder what words mean. Allow them to say, “I’m not getting this, teacher! It’s really frustrating!” And you say, “Yeah, this is really hard. This is why we’re doing it at school. ‘Cause it’s really hard. If it was easy, I’d have you do it at home. But we’re doing it here, ’cause it’s really hard and it’s OK not to get it at first.” And create a place where errors are seen as opportunities to learn, and struggling through ideas and clarifying your own thinking and arguing with other people to reach an agreement or reach a place where we agree to disagree is part of the power of learning.

Eric Cross (40:38):

There’s a teacher, who I took this from. My master teacher when I was student teaching. And she said that there’s no such thing as failure in science, just data. And I took that same mantra. And I resonate with what you said about how science teachers, all of us, hold onto that productive struggle, because it’s part of being a scientist. It’s part of the experiments. That genuine “aha” moment. Or it didn’t work out? That’s great! That’s totally fine! Let’s write about it and let’s take photos and let’s publish it and let’s be scientists. That’s totally true. As we wrap up, Dr. Fisher, is there any final message that you have to listeners about bringing science and literacy together? I know you speak everywhere, but for everyone that’s listening, if you can put out your encouragement or message or suggestion … you’ve given so many great tips and practical applications. But, any final thoughts on the subject?

Douglas Fisher (41:32):

I think many science teachers are intimidated because they think they have to be reading teachers. And there’s a knowledge base to reading. And some teachers are reading teachers and science teachers, and I don’t wanna dismiss that. But it’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work. And so as you think about the way in which you are learning and the ways in which you want your students to learn, what role does language play? What role does speaking, listening, reading, writing, viewing, play in your class? And then provide opportunities for students to do those five things each time you meet with them.

Eric Cross (42:12):

Dr. Fisher, thank you so much for being here and for your encouragement, and sharing your wisdom and experience. And then personally serving my city, here in San Diego, and my students, when they make it to your high school and ultimately the alma mater of San Diego State University.

Douglas Fisher (42:30):

That’s right.

Eric Cross (42:31):

Yeah. We really, really appreciate you in serving all kids and lifting the bar and making things more equitable for all students. And encouraging teachers. So thank you.

Douglas Fisher (42:39):

Thank you very much.

Eric Cross (42:42):

Thanks so much for listening to my conversation with Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Check out the show notes for links to some of Doug’s work, including the book he co-authored titled Reading and Writing in Science: Tools to Develop Disciplinary Literacy. Please remember to subscribe to Science Connections so that you can catch every episode in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. Also, if you haven’t already, please be sure to join our Facebook group, Science Connections: The Community. Next time on the show, we’re going to continue exploring the happy marriage between science and literacy instruction.

Speaker  (43:26):

I had this moment of realization I felt a few months ago: I’m like, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that.

Eric Cross (43:39):

That’s next time on Science Connections. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Dr. Douglas Fisher says about science

“There are really cool opportunities when teachers come together and realize we can work together to improve the literacy and learning of all our students.”

– Dr. Doug Fisher

Professor and Chair of Educational Leadership, San Diego State University

Meet the guest

Douglas Fisher, Ph.D., is professor and chair of Educational Leadership at San Diego State University and a leader at Health Sciences High & Middle College having been an early intervention teacher and elementary school educator. He is the recipient of an International Reading Association William S. Grey citation of merit, an Exemplary Leader award from the Conference on English Leadership of NCTE, as well as a Christa McAuliffe award for excellence in teacher education. He has published numerous articles on reading and literacy, differentiated instruction, and curriculum design as well as books, such as The Restorative Practices PlaybookPLC+: Better Decisions and Greater Impact by DesignBuilding Equity, and Better Learning Through Structured Teaching.

A middle-aged man with short light brown hair and glasses, wearing a white shirt and dark blazer, in a circular frame with a green accent and simple graphic elements.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S1-05: How does coding fit in the science classroom? A conversation with Aryanna Trejo of Code.org

Podcast cover titled "Science Connections" featuring Aryanna Trejo, Season 1, Episode 5. It includes abstract illustrations of a globe and telescope, discussing coding in the science classroom.

In this episode, Eric sits down with Aryanna Trejo, a professional learning specialist of Code.org. Aryanna shares her journey from working as an elementary teacher in New York City and Los Angeles to teaching other educators at Code.org. Eric and Aryanna chat about computer literacy within the science classroom, problem-solving skills, and ways to model productive struggle for students. Aryanna also shares ways to teach coding and computer literacy in schools, no matter the classroom’s technology level. Explore more from Science Connections by visiting our main page.

Download Transcript

Aryanna Trejo (00:00):

I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.”

Eric Cross (00:19):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Aryanna Trejo. Aryanna is a member of the professional learning team at Code.org. Before joining Code.org, Aryanna led computer science professional development for elementary school teachers, and served as an instructional coach for new educators. She also taught fourth and fifth grade in both New York City and in Los Angeles. In this episode, we discuss Aryanna’s journey to Code.org, where she helps educators connect coding to real life, how to use a rubber duck to solve problems, and how coding and computer science principles can be taught to students in areas without access to the internet…or even a computer. I hope you enjoy my conversation with Aryanna Trejo. So I was born and raised here, and I saw that you went to UC San Diego.

Aryanna Trejo (01:11):

I did, I did. I actually just put a deposit down on an apartment in University Heights, ’cause I’m moving back.

Eric Cross (01:16):

You’re coming back?

Aryanna Trejo (01:17):

I’m coming back. Yeah.

Eric Cross (01:19):

So if you need a classroom to visit….

Aryanna Trejo (01:21):

I would love to do more classroom observations!

Eric Cross (01:24):

Are we doing this? Let’s do—we’re making this happen.

Aryanna Trejo (01:26):

We are. Yeah. So I’ll be there. I’m moving there in April. I actually grew up in Orange County too, so I’m like a very diehard SoCal person.

Eric Cross (01:35):

So I feel like I know the answer to, hopefully—Tupac or Biggie? ‘Cause you’re on the East Coast, and you’re on the West Coast.

Aryanna Trejo (01:40):

Yeah. I like Tupac, but I have more Biggie songs committed to memory. Which is not a lot. I have “Juicy” and “Hypnotized” memorized.

Eric Cross (01:53):

All right. So you’re just memorizing, and you have the Biggie songs memorized, but not the Tupac ones.

Aryanna Trejo (01:58):

No, but I do love Tupac songs. You know, it’s like, Biggie has the flow, but Tupac has the lyrics. Nobody’s—they both have something really amazing about them.

Eric Cross (02:06):

You know, I can respect that you broke it down into both of their strengths.

Aryanna Trejo (02:11):

Thanks for buttering me up before this interview. And not….

Eric Cross (02:15):

<laugh> Oh, we already started.

Aryanna Trejo (02:16):

Huh? We already started?

Eric Cross (02:17):

We’re already started. Yeah. We’re already into this.

Aryanna Trejo (02:19):

We’re into it.

Eric Cross (02:21):

You were in the classroom, fourth and fifth grade, and you were doing TFA.

Aryanna Trejo (02:26):

I did. I did Teach For America. I was 2012, New York City Corps. Right after graduation. ‘Cause I graduated UC San Diego in 2012. So graduation was on June 17th, and I touched down at JFK on June 19th.

Eric Cross (02:40):

Even though I wasn’t in TFA, I know a lot of the fellows that are in it. And there’s just some phenomenal teachers in there. How long were you doing elementary school when you were teaching?

Aryanna Trejo (02:49):

Yeah, I taught for—well, I did, three years of teaching fourth grade. Then there happened to be an instructional coach opening in my fourth year. I took that, did some instructional coaching within the same network, and then I moved back to LA and I taught fifth grade for a year.

Eric Cross (03:11):

  1. And what was it like now? Did you go to Code.org right after the classroom?

Aryanna Trejo (03:17):

No, I didn’t. No. I transitioned after teaching fifth grade for a year in downtown Los Angeles, in the Pico-Union neighborhood. I ended up getting this email out of the blue from someone who had actually found me through the Teach for America job site. ‘Cause I was hitting the pavement; I was really looking to transition out of the classroom. And she invited me to interview with this company called 9 Dots. And they taught computer science to kids K–6 throughout Los Angeles and Compton. And I was like, “Sure, no problem. Let’s do it.” So I interviewed, I got the job, and yeah, that’s how I transitioned to 9 Dots. And then after almost four years there, I transitioned to Code.org, with the same person. Actually, she moved over to Code.org first, and then she helped me get this job.

Eric Cross (04:07):

Oh, that’s happened a lot—like, that relationship kinda carries over.

Aryanna Trejo (04:11):

Yeah. We’re meant to be coworkers.

Eric Cross (04:13):

Yeah. Are you still? Is she still there? Are you both still together?

Aryanna Trejo (04:17):

Yeah, we’re on the same team and it’s nice. I saw her last night for Happy Hour, with another coworker who’s in LA. So we’re tight. And she’s a wonderful, wonderful mentor to me.

Eric Cross (04:28):

That’s great. Did you have computer-science background, when you were doing elementary school teaching? Did you have—

Aryanna Trejo (04:34):

No. <laugh> Not at all. When I was teaching in New York City, I had like four desktop computers in my classroom, and we rarely used them. Which was such a shame. And then when I moved to Los Angeles and taught fifth grade there, we were a one-to-one school, and the joys of that are just amazing. It was just really wonderful to, you know, get the students used to typing on the computer, using different software to submit their assignments. Getting creative—as creative as you can get—with Google Slides. You know, to show off what they know. And stuff like that. That’s all I had, though. And you know, when I transitioned to 9 Dots I was like, “Sure, why not? Let’s give a shot.” And I learned a lot. It was really interesting, yeah.

Eric Cross (05:26):

And so now at Code.org you are…well, so my journey with Code.org, I’ve been in the classroom for eight years. Still in the classroom as of…an hour ago, I was there. <Laugh> And I use Code.org, and I feel like I’ve checked it periodically, and I feel like it’s evolved over the gaps. And I’ve seen it. It’s become more robust in the things that they offer, over the years I’ve been an educator. Just to kind of…could you give a thumbnail sketch? Like, what is Code.org? Who’s it for? Who’s the target audience? What resources are there?

Aryanna Trejo (06:00):

Yeah. So it’s for everyone. It is a nonprofit that provides curriculum and training and a platform for teachers and students. We provide curriculum for K through 12. It’s completely free. And it comes with lesson plans, slideshows, all that. We focus specifically on underrepresented groups. So we have targeted measures for Black students, for Native American students, for students who identify as female. That’s a huge part of our mission. But we’re really working to expand access to computer science to as many students as we can.

Eric Cross (06:41):

One of the things I’m hearing in your story is you were teaching in Compton; you were in Bronx, New York. One of the reasons why I got into the classroom is because of educators, and the impact they made on me in exposing me to science and technologies I’d never had access to. And that intentionality, that you’re going about it…are there…not just the code, but how you bring that across to different groups…are there strategies, or are there ways to connect this idea of coding to diverse groups and diverse audiences? Or is it kind of, the curriculum applies for everyone? ‘Cause in science, when I’m teaching, I’m always trying to make what I’m doing relevant to the backgrounds of my students.

Aryanna Trejo (07:28):

Sure.

Eric Cross (07:28):

So I’m teaching biology, and I’m trying to make this kind of connection. Sometimes it’s more organic; sometimes it feels kind of forced. Because it’s just not always a nice fit. But it sounds like Code.org is really about inclusion. And in the numbers that I’ve seen for representation, in especially computer science software engineers, the groups that you’re focusing on are not necessarily represented in the professional workforce. At least disproportionately.

Aryanna Trejo (07:54):

Yeah, absolutely. Yeah, that’s correct.

Eric Cross (07:57):

And so how do you go about being intentional about reaching groups that we don’t see in, you know, the Silicon Valley software engineers? How do you start that? Like, at a young age, do you look for specific schools in specific areas to say, “We are going to bring this to the school. We’re going out to these populations of the cities”? Because we’re just not seeing…you know, on the map, we’re not seeing anybody really doing anything with coding here. Or we’re not seeing the numbers come out of these areas, out of these cities, of students who are going into STEM or going into computer science fields.

Aryanna Trejo (08:41):

Yeah. I don’t necessarily work on the recruitment side of it, is the issue, in my position. But I do work on the professional learning, that is brought out to teachers. And we have a huge focus on equity throughout the workshops that we create from K–12. It’s something we’re really passionate about. We definitely aim to prepare teachers to teach computer science. That’s a huge part of it. Knowing the content, but also thinking through, “What does recruitment look like at your school to make sure that the demographics of your classroom match the demographics of your entire school?” Also, thinking through, “How can we make sure that female students feel included in your classroom? How can we make sure that we are, giving students creativity to think about, or we are setting students up to be creative and think about the problems that are in their community, and how they can use computer science to solve them, or at least work towards them?”

Eric Cross (09:39):

So solving real-world problems and that inclusion aspect…are there things like…you were saying “female or students who identify as female”…are there things that teachers can do to ensure that they’re being more inclusive? Or to recruit, or encourage more female students to take part? One of the things I was thinking of, that I’ve seen, is I’ve seen coding kind of camps.

Aryanna Trejo (10:06):

Sure.

Eric Cross (10:08):

That were specifically for a female audience. And that seemed to help with recruitment. Is that something that you see on your side?

Aryanna Trejo (10:16):

That’s not something that we set up, no. But the curriculum that I work with is CS Principles. And it’s offered as an Advanced Placement course, as well as an AP class. So that’s a curriculum that’s designed for students who are in grades 10 through 12. And so at that point, we can really talk to teachers and ask them what the recruitment strategy is. But in terms of strategies that teachers can use to recruit those students…I mean, I’ve heard over and over from lots of different teachers who identify as female that they didn’t think that computer science was for them, until they saw a role model in that position. And so just being a role model for those students is really wonderful.

Eric Cross (11:00):

And I see it too, with—like, we do “Draw a Scientist” activity, which is like a popular science thing—

Aryanna Trejo (11:05):

Sure, yeah, I’m familiar.

Eric Cross (11:05):

But it’s the same thing, right? Like, it fleshes out. My students don’t draw themselves as scientists. They draw what they perceive, based on what television says. I imagine with computer science, it’s probably really similar, when you think about “What’s a software engineer look like?” Do students tend to draw themselves? Or is it even a mystery? Because I don’t even know what a software engineer looks like.

Aryanna Trejo (11:28):

Yeah, absolutely. Well, one of the things we love to do with our professional learning workshops is talk about understanding yourself, your identities, how they show up in the classroom as biases. And, you know, things like stereotype threat. We see that as really important to understand, and think through, and consider, before you step into the classroom. So that you’re not, you know, coddling certain groups of students because you don’t believe that they are able to be successful in computer science. Holding all the students to the same expectations and believing that they can succeed. And computer science, I think a lot of the times people have this conception of it being this utopian, bias-less, technocratic field. When in reality, everything has bias. And people talk about algorithmic bias and facial recognition, but also the people who created computers and computer languages have their own bias that comes through. And I think it’s really important to show students that. So that they can, one, know what they’re working with, and two, make sure that they can create products that reduce that bias.

Eric Cross (12:50):

It’s like…it’s not objective, just because we’re creating software. Like, once it gets to a point of being so sophisticated…I think, like, AI software, right? With facial recognition? And we’re seeing more and more articles come out about, you know, predicting trends based on historical data.

Aryanna Trejo (13:12):

Sure.

Eric Cross (13:13):

But then, the trends and things that they’re seeing tend to target things that have happened in the past. But it also doesn’t take into consideration a lot of other factors that can lead to certain groups or populations being identified. And I’ve seen some articles lately about how your code is really just representation of what you put into it. And like you just said, your bias—if you have that, conscious or unconscious—you’re gonna put that into your code. And the input is gonna be an impact, is gonna impact the output.

Aryanna Trejo (13:44):

Yeah, absolutely. Or even just—and I’m ashamed to say this, ’cause this is an idea that came to me just recently, through an article that I read—but computers themselves have bias. The hardware assumes that you have vision, that you can see the screen, that you are able-bodied, that you can use your hands to work the keyboard, the mouse, et cetera, and that you don’t have to use assistive technology. You know, there are small things like that, where we think that technology, like I said, is this utopian, futuristic science…but there are biases throughout.

Eric Cross (14:19):

You’re absolutely right. I’ve never even—I’ve never even considered that. Even though I do use assistive tech, and figure it out, I’ve never thought from the ground up, the process is built for an able-bodied, sighted, hearing person.

Aryanna Trejo (14:31):

Exactly.

Eric Cross (14:32):

To be able to engage with the hardware. And then these other things, these tertiary things that we kind of add on, so that you can do this, but it’s not designed from the ground up for people who are, you know, different audiences, physically. So I’m glad you brought that up, though. Now I’ve seen—and I haven’t done this—but I know Hour of Code is a big thing. And this is something that’s ongoing. Can you talk a little bit about what Hour of Code is? I know it’s, it’s a big thing for the classroom teachers.

Aryanna Trejo (15:08):

Yeah. So Hour of Code is really exciting, and it’s just blossomed from something small to something tremendous. This year is gonna be the 10th Hour of Code. So what it is, is it happens during CS Education Week in December, during Grace Hopper’s—or to honor Grace Hopper’s birthday. She was a computer scientist and Navy Admiral. And basically the aim of it is to get as many students on the computer doing an hour of code, and demystify what coding is. You know, to do seed-planting. To show teachers that this is something that you can facilitate for your students. And also to show students like, “Hey, computer science is something you can absolutely do. Not just for an hour, but more if you want.” So, yeah. Now it’s worldwide, and it’s really exciting.

Eric Cross (15:58):

That’s awesome. And I think about teachers and I still hear the apologetic—when I’m helping teachers in the classroom with education technology—the self-deprecating “I’m a dinosaur; I’m not good with tech,” which is never true. Like, they’re better than they even realize. And I feel like sometimes there’s still a stigma, too. It’s like <laugh> The Simpsons’ Comic Book Store Guy. The condescending tech support person—

Aryanna Trejo (16:27):

Sure.

Eric Cross (16:28):

—who has that tone. And so I feel like some people have been so negatively impacted by that person. So I know when I’m helping people, I actually try to go full-spectrum the other side. But I’m thinking about teachers’ barrier to entry. Sometimes code is like, “Whoa.” And I don’t teach computer science. Do you see those barriers to entry, or at least the perception of them? And then, what’s the reality for like someone listening, and going, “I’m a fourth grade teacher,” or “I’m a humanities teacher in ninth grade.” What’s the perception that you see, versus reality, with the teachers that you train? Is it much more accessible than we think? Or is there a level of sophistication that you have to have coming into it?

Aryanna Trejo (17:10):

No, not at all. I know computer science, and that says a lot! <Laugh> You know, I know my own corner of computer science. And you know, that’s me being self-deprecating, too. But I think learning computer science has helped me in so many different ways that I wasn’t expecting. I recently took the GRE in hopes of, you know, getting back into grad school. And I think just the way that computer science teaches you to search for bugs in your code, or errors, and kind of tirelessly look at a problem from multiple different angles, I was able to carry that into the math that I was doing. And I noticed just a huge difference in the way that I approached it, and the way that I was open to it. But you asked a great question, in regards to the barriers to technology. In my position at 9 Dots, I was working directly with teachers to lead professional development with them. Sometimes it would be a full day; sometimes it would be an hour after school. And the one thing that I always had in my back pocket that was really useful is that I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.” You know, it takes some patience and nobody’s gonna get it perfect 100 percent of the time. Have I banged my head against the wall trying to solve one tiny little syntax error in my code? Absolutely! But it feels absolutely phenomenal to fix that. And I was an English major in undergrad, and I had never done computer science before. So it’s something that becomes really satisfying.

Eric Cross (19:07):

Yeah, I imagine. I had someone—a trainer or a presenter—one time bring up the fact that our students rarely get to see us learn in real time.

Aryanna Trejo (19:19):

Yeah.

Eric Cross (19:19):

So we don’t get to ever really model failure. I mean, unless we’re in a classroom situation <laughs> in our failures, with classroom management. Then they see it, they see it! But they don’t get to see us model learning failure. And I don’t mean like failure—and yes, I know, “first attempt is learning,” and “no such thing as failure”—that’s not what I’m talking about. But just when we’re not successful with our code, and then we experience real-time frustration.

Aryanna Trejo (19:42):

Yep.

Eric Cross (19:42):

And they said that is actually a great learning experience for your students to watch you go through productive struggle. And that was really liberating for me. Because now I’m in the classroom, and I’m trying to go through it with my students, and the beautiful thing was, they started helping me. We were all trying to solve the problem. And then we had this authentic problem-solving experience. I think it was like a Scratch program, where we were trying to solve, trying to embed it somewhere, or something. And then, in the background of the class: “Mr. Cross! I got it! I figured it out!” And it was this really neat bonding experience. And I felt that—your ears get red, and you get hot, ’cause you’re not—

Aryanna Trejo (20:19):

Oh yeah.

Eric Cross (20:20):

You don’t know it! And you’re in front of 36 kids! And I said, “OK, I need to tell them how I feel.”

Aryanna Trejo (20:25):

Yeah.

Eric Cross (20:26):

So I said, “Now I feel really frustrated.” Like, “I want to go through this, and here’s my thoughts.” ‘Cause I knew that it would be helpful if they saw and would hear my thoughts. So I just did a quick think-aloud and I said, “In my head, <laugh> I want to just quit,” I said, “But I realize that this is the part where my learning’s happening. So I just want you all to hear what’s going on in my brain.” And now I feel like when I’m doing coding with my students, and it’s just basic coding, I feel much more comfortable, like, not knowing. But I needed someone to release me from that “I have to be the expert in everything” to do it.

Aryanna Trejo (21:06):

And teachers are used to being the experts. Right? And they should be. And coding is just such a different landscape. But I think once you kind of give over to the power of tinkering, I think it’s really gratifying. I love being able to…you can revise a sentence, and then read your paragraph back to yourself in English, and say, “OK, I get it.” But there’s something so gratifying about changing a line of code or a block and then being able to hit play and watch your program come to life, and say, “Hmm, that’s not quite what I wanted. Let’s try something different.”

Eric Cross (21:39):

I love your connection to tinkering. ‘Cause—I had never thought about it—’cause I love tinkering with my hands. But I always think about physical things. But coding is exactly that. It’s tinkering.

Aryanna Trejo (21:47):

It’s exactly that.

Eric Cross (21:47):

That’s exactly what it is.

Aryanna Trejo (21:49):

And a lot of it is, for me, especially when I’m trying something new, it’s guess-and-check. It’s like, “OK, that didn’t work. What if I add a semicolon here? Will it finally work? Or what if I add a ‘for’ loop? Will this get me what I want?” And it’s wonderful because you have that with students as well. Like, you have that record of their thinking, and you can ask them to go step-by-step and tell you, you know, “First, I added this, because I wanted the program to do this,” and so on and so forth. And so you have that record, but you can always get rid of it. Students often wanna get completely get rid of it. That’s something that I’ve noticed a lot as I’ve taught computer science. But, once you can get them to target the specific parts of the program, tinker with that, and continue, that’s a really wonderful learning space. There was also something you said about modeling failure. I love the fact that in computer science you can model failure for your students. You said to your students, “I’m getting frustrated.” I love that, because I never got that in math. Nobody ever showed me what it was like to be frustrated with graphing a parabola. Right? Like, my math teachers were always like, “Doot, doot, doot, here you go, you’re done!” <Laugh> And I would get so frustrated, because it didn’t come that easily to me. And I think there’s two parts to that. So there’s modeling the learning and the thinking and the productive struggle, but also there’s the identity of being a computer scientist and modeling what that looks like. So for me, when I get really frustrated with a program, I walk away. I take five minutes. I take a deep breath. I say, “I’m not gonna think about it in these five minutes.” And I come back to it. And I think once you start teaching computer science, you can facilitate that for students. And there’s so many different strategies that they can pick up. They can pick up rubber ducking, which is where they pick up a rubber duck or a similar object, and they talk to it as if they were a partner and talk through their code. And oftentimes, as you’re rubber ducking, you’re gonna find that error, because you’re explaining it to someone who’s a stand-in for a novice. And rubber ducking is a well-known strategy for computer scientists who make it their career. You know, there’s pair programming. Some students love pair programming; some students hate it. But the students start to build this identity about how they problem-solve. And how they approach failure. And I just love that.

Eric Cross (24:31):

I’m writing this down. Because the rubber-ducking strategy, I love. I just imagine my seventh graders, a bunch of 13-year-olds with, like, rubber on the desk. And not necessarily in coding, but I was thinking in my science class. And they’re working through a challenge, and they’re all looking at this duck, and they’re talking to it. But I just love the the idea of externalizing your thought process and talking through it yourself so that you can hopefully arrive at a conclusion. But it’s such a great practice, and this is something that’s been around for a long time, apparently. So.

Aryanna Trejo (24:59):

Yeah. Yeah. It’s a real thing. And you know, you can go low-fi. It doesn’t have to be a rubber duck. You can have students talk to their pencils or their imaginary friends. That’s not the issue; the issue is, you know, talking to somebody.

Eric Cross (25:10):

I know you support teachers. But I just wanted to…I was just curious about your typical day, what that’s like. And then what you do, how you support ’em.

Aryanna Trejo (25:15):

So, at my previous job at 9 Dots, I was in there with the teachers in the classrooms. I was coaching our internal staff who went out to co-teach with teachers. And I loved that. And I had such a great impact on a local scale. But now at Code.org, I have a much broader impact. But I don’t get to interface with—that’s such a tech-y word!—I don’t get to interact with—

Eric Cross (25:42):

You work at Code.org! You get to—

Aryanna Trejo (25:42):

I know! But I’m a teacher at heart, forever, right? That’s my identity that I forged when I was 22 years old. And a typical day looks like opening up my computer, taking a look at my calendar. I often have meetings to talk about, different things that we’re doing to support our facilitators who go out to our teachers and lead their workshops for them. I recently worked on a product that was designed for CS principles, teachers, to onboard to the course if they weren’t able to get into an in-person workshop. And it’s completely self-paced, so it gives teachers an on-ramp into the course. And now I’m working on some in-person workshop agendas. So I feel really wonderful that my work is going out to thousands of teachers. But at the same time, I really, really miss talking to teachers. Because that’s something that energizes me so much.

Eric Cross (26:46):

When should students start learning computer science? I feel like we see it in this kind of narrow lane. Like, this is computer science if you make an app. Can it be more than that? As far as like the benefit of computer science? And—I guess two-part question—when should students, one, start being exposed to it? And then two, what are some of the benefits beyond just, “I wanna just make an app”?

Aryanna Trejo (27:08):

I taught coding to kindergartners. It can start as early as you as you want it to. And it doesn’t necessarily need to be on the computer. A lot of students that I worked with didn’t have computers at home, were interacting with computers for the first time. And that’s a huge barrier, of course, to a lot of teachers. But there are so many unplugged lessons that you can do to start to start to have students think about algorithms, which is just a series of steps to complete to solve a problem. As long as a student can use a computer, I think they can do computer science. There are products out there like codeSpark, where students—and Code.org has these products too—where students are moving an avatar around a board, kind of like a quadrant to…you know, they feed the directions to a computer and then the computer enacts it for them. And with that, they can learn algorithms. You know, that is computer science. And a lot of people don’t see it that way, but it really is. And it starts to set students up for more complex thinking as they move on.

Eric Cross (28:13):

One of the biggest underserved communities, geographically, are students in rural areas.

Aryanna Trejo (28:20):

Yep.

Eric Cross (28:21):

They can be reservations; they can be places just not an urban area. Is there a way to serve our communities of students and bring these skills in an unplugged way?

Aryanna Trejo (28:32):

Yeah. Yeah. If you typed in “unplugged computer science lessons” to Google, you’ll have a ton of hits. And there are so many students out there—not just in rural areas. But there’s incarcerated students. It hurts my heart to even say those words, but in urban areas too. Like in my classroom, where I only had four desktop computers. Access is a real struggle. And there’s things, like I said, instead of moving an avatar around a grid on the computer, I used to have an actual mat that I would take out to my kindergarten classrooms, lay it out, and it would have a grid on it. And we’d have one of the students act as the avatar and the rest of the students would give them directions to get to a different point on the grid. And there, you’re building an algorithm or just a series of steps. Like I said, it’s not some fancy term to solve a problem. And there’s multiple ways to solve that problem, too. And I think investigating that can be a really good way to stretch those lessons.

Eric Cross (29:32):

It almost sounds like an oxymoron, but this low-tech computer science strategy. Develop these skills and then transfer that once you have access to the tools.

Aryanna Trejo (29:39):

Yeah. Yeah. Absolutely. And I think it’s a good way for students who need kinesthetic means to start to understand something, or just different learning styles, to start transferring that over.

Eric Cross (29:53):

I probably have students in the classroom where those kinesthetic moving things would help be a great way—or WILL be a great way—for them to learn the principles and the fundamentals of coding. Instead of only giving the option to just do the computer, actually giving them some choice. Or giving them a way to be able to manipulate things. We’re still in the system of education that’s still very siloed. It’s been the same way for a hundred years. We got math and then we got science and we got English. I’m wondering, how can a teacher fit this into their daily lessons? And then, do you have any experiences or stories or things that you’ve seen, just really creative ways that you’ve seen teachers incorporate this? Outside the norm of, “This is a computer science class; we’re just gonna code.” But have you seen it branch out? In the trainings that you’ve done?

Aryanna Trejo (30:40):

I’ve seen examples of that. I’ve seen a teacher use Scratch to demonstrate different climates of California, and show the different climates. This past year for Hour of Code, my friend Amy—the one who helped me move to 9 Dots and at Code.org—she created this incredible tutorial called Poetry Bot. And it was a way to get students to match the mood of the poem to some of the elements that were happening in the stage. So they would have different backgrounds show up at different parts of the poem. When the words would show up, they would have different sprites show up. They would have, sometimes, sounds. Or the text would show up with different animations. So there are cross-curricular opportunities everywhere, if you can be creative enough to find them, or if you beg, borrow, steal from other educators who are doing this incredible work out there.

Eric Cross (31:36):

Yeah. I say this all the time, but I’m an educational DJ, not an MC.

Aryanna Trejo (31:44):

Oh yeah.

Eric Cross (31:45):

So MCs write their lyrics and DJs remix with things that other people have done.

Aryanna Trejo (31:48):

Absolutely.

Eric Cross (31:48):

I was like, I’m a DJ. I was like, all day. Sometimes I’ll write a lyric, once or twice, but most of the time I’m remixing things. So teachers, if you’ve been out there and you got an awesome interdisciplinary thing, or you’ve incorporated coding and it’s something that’s traditionally not seen, please send it to us. Share it with us.

Aryanna Trejo (32:03):

Yeah. And there are so many different places where you can find that. We have a forum for Code.org, but there’s also CSTA, the Computer Science Teachers Association. You can join your local chapter and get to know other computer science teachers out there.

Eric Cross (32:19):

I guess…to wrap up, I’ve been using Scratch programming, the MIT website. My students do the basic animated name, CS First, stuff. But over the years, I’ve noticed that my students are coming in with a higher level of sophistication in Scratch to where now the differentiation…some of my students are just doing very basic…and then I have other students who’ve created full-on video games with complex…like, you look at their Scratch page and it’s just an amazing amount of blocks and integrations and things that they have. Is there anything on Code.org that could be a next step? That takes them beyond, maybe like the visuals? And if so, what would be a good next step, to take students to advance them to another platform? There’s so many coding languages out there, I feel like. Or I might not even be thinking about that the right way.

Aryanna Trejo (33:20):

No, I think you are. You know, we have three different curricula out on our website right now. We have CS Fundamentals, which is probably more in line with what you’re talking about. We have a free CS Discoveries curriculum, and that is designed for, grades, I believe, 6 through 10. And that would be a really good entry point, for both teachers and for students.

Eric Cross (33:44):

There’s a lot of new stuff that I hadn’t seen yet, a few years ago.

Aryanna Trejo (33:49):

Yeah.

Eric Cross (33:49):

So I was really excited.

Aryanna Trejo (33:50):

One thing that I do know is that CS Discovery has just added an artificial intelligence slash machine-learning unit, that you can just pick up and give to your students. You don’t have to go in order with CS Discoveries, like you do with CS Principles. And I’ve gone through some of those lessons. They are really rad. And I would’ve loved to have learned that when I was in middle school or high school. So yeah, we’re constantly thinking of how we can make things one, relevant to our students, and two relevant to what’s going on in the world.

Eric Cross (34:20):

So would I be overselling it if I said, “If you go through this, you’ll be able to create an AI or a neural net to do all your homework”?

Aryanna Trejo (34:26):

You would be overselling it.

Eric Cross (34:27):

I would be? OK. So what I’ll do is, I’ll wait until the end of the school year, and then introduce it, and then by the time they’ve realized it’s not true, they’ll be eighth graders.

Aryanna Trejo (34:35):

There you go. Good old bait-and-switch.

Eric Cross (34:37):

You’re amazing. Thank you for serving teachers, and for being part of such a great organization that puts out great stuff. So much free curricula for teachers to be able to use. Especially nowadays we hunt and scour the internet for those types of things. And to be able to bring computer literacy into the classroom, and with your focus of serving communities of underrepresented groups, it feels good to know that not only is it high-quality material, but it’s also trying to raise everyone up. Because ultimately when we have more people trying to solve a common problem, we come up with better solutions. And I was talking to somebody who was a materials engineer somewhere in Europe, and he said one of the things about the U.S., As he was critiquing me on this flight, critiquing the U.S., He said, “One of the things about your country is that you have a heterogeneous group of people who, in a group, when you have multiple perspectives attacking a problem, you come up with more novel solutions.” He says, “That’s one of the great things, is that there’s not necessarily just a hive mind.” And I think that that’s one of the great things. We uplift different communities, and we uplift women, people of color, people who, have backgrounds that parents didn’t go to college but have these amazing qualities and strengths. And we put everybody focusing on the same issue. We come up with novel solutions that we wouldn’t have come up with if only select groups were trying to look at it and solve it. And so—.

Aryanna Trejo (36:22):

Yeah.

Eric Cross (36:23):

And we couldn’t do that without organizations like yours, that help empower teachers. So.

Aryanna Trejo (36:27):

Yeah! You really said it.

Eric Cross (36:29):

You’re coming to my classroom when you’re back in San Diego?

Aryanna Trejo (36:31):

Yeah! I totally will. Yeah. Let’s make it happen.

Eric Cross (36:34):

Last question. If you think back in your schooling, your own schooling, K through college, is there a person or a teacher that had a big impact on you? Or a learning experience that had an impact on you? And it could be, you know, positive or negative. But something that impacted you, even to this day, that stands out to you, that you remember?

Aryanna Trejo (36:56):

This is a big diversion from the topics that we’re talking about. But in grades 10 through 12, my drama teacher, Mr. Byler, who I still talk with, was such a huge impression on me. Really wonderful. And I couldn’t tell you the teaching moves that he did that were wonderful. I don’t know much about his management. But I can tell you that he gave me space to be confident, and grow into myself, through drama productions. They were high school productions, so they weren’t amazing. But I just really came into myself in high school, because I had the confidence to get on stage. And he was just such a wonderful mentor to all of us. So, props to Mr. Byler.

Eric Cross (37:39):

Shout out to Mr. Byler for creating space for Aryanna to fly! Thanks for making time, after your workday, to talk with us and to share Code.org with teachers.

Aryanna Trejo (37:54):

Of course. Happy to.

Eric Cross (37:59):

Thanks so much for joining me and Aryanna today. We want to hear more about you. If you have any great lessons or ways to keep student engagement high, please email us at stem@amplify.com. Make sure to click subscribe wherever you listen to podcasts. And join our brand new Facebook group, Science Connections: The Community for some extra content.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Aryanna Trejo says about science

“I would hear teachers saying things like, ‘Well I just can’t do coding, it’s just too hard for me.’ And I would ask them…Would you say that to your student about math or English? Be as kind to yourself as you would be to your student.”

– Aryanna Trejo

Professional Learning Specialist, Code.org

Meet the guest

Aryanna is a member of the Code.org Professional Learning Team. Before joining Code.org, Aryanna led computer science professional development for K-6 teachers and served as an instructional coach for new educators. She also taught fourth and fifth grade in New York City and Los Angeles. In her spare time, Aryanna loves taking advantage of the California sunshine, creating wheel-thrown pottery, and hanging out with her dog Lola.

Person with curly hair smiling, standing in front of a brick wall. Circular frame with decorative star in the corner.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Dyslexia and the Science of Reading: Finding kids at risk and helping them read

The Science of Reading is also the science of reading struggles. Research helps us identify kids with challenges or at risk for learning disabilities, and helps us offer effective interventions that will make a difference.

Amplify understands the power of early assessment and early intervention. mCLASS®, built on the Science of Reading, offers an evidence-based solution that can flag reading risk and difficulties associated with dyslexia. Getting students on the right track early is crucial to unlocking the potential of all students to read at their best.

A teacher and a young student sit across from each other at a desk, talking, with a tablet on the table in a classroom setting.

What is dyslexia?

Here’s the definition of dyslexia developed by the International Dyslexia Association (IDA) and adopted by many state education codes: 

“Dyslexia is a specific learning disability characterized by difficulties in word reading and/or spelling that involve accuracy, speed, or both and vary depending on the orthography. These difficulties occur along a continuum of severity and persist even with instruction that is effective for the individual’s peers.”

A graphic titled "Dyslexia: Fact vs. Fiction" with a grid of random letters in colored and white squares below the title.

Key signs of dyslexia

Difficulties with phonological processing—such as phonemic awareness and decoding skills—are hallmark characteristics of dyslexia.

Three colored squares display lowercase letters: "a" on an orange square, "c" on a blue square, and "g" on a yellow square—dyslexia-friendly design features each letter clearly arranged in a row with slight tilts.

Key signs also include difficulty with: 

  • Understanding the sounds in words
  • Reading fluently
  • Spelling, rhyming, and sequencing information
  • Finding the right words when speaking

Prevalence of dyslexia

According to the IDA, between 15 and 20 percent of the U.S. population exhibits characteristics of dyslexia. With this in mind, it’s crucial educators have dyslexia resources that help all of their students be successful.

A 3x3 grid of colored squares with the letters c, e, t, a, n, t, b, o, g in a typewriter font, each on a different colored background.

Importance of early identification and early intervention

Research shows that students who struggle to read in third grade are at high risk of continued struggle … and academic failure. And according to the National Assessment of Educational Progress (NAEP), only 33 percent of U.S. fourth graders are proficient in reading. We need to help students with dyslexia,  and we need to start early.

Dyslexia can’t be “cured,” but it can be identified and successfully addressed, starting as early as kindergarten. Students with dyslexia do have the potential to read at grade level when they have access to early intervention, targeted supports, and a structured curriculum. A University of Washington study found that only eight weeks of specialized instruction strengthened students’ neural circuitry—and improved reading performance.

Students establish reading trajectories early. Without intervention, readers on a low trajectory tend to stay on that trajectory or fall further behind. Being on grade level by the third grade is widely considered the most important predictor of high school graduation and college and career readiness. (Good, Guba, & Kaminski, 2001Morgan, Farkas, & Wu, 2011Shaywitz, Escobar, Shaywitz, Fletcher, & Makuch, 1992).

The later the onset of intervention, the lower the odds that struggling readers will become proficient readers (Torgesen, 2000). Response to intervention (RTI) and Multi-Tiered Systems of Support (MTSS) are built on research in prevention and early intervention and designed to help educators implement strong literacy systems. The screening and progress-monitoring data they provide enable educators to design instruction and intervention that prevent difficulties and close skill gaps for students.

Without early, intensive intervention, struggling readers won’t catch up to their average-performing peers. In fact, the gap between good and poor readers widens over time. (Adams, 1990Good et al., 2001National Research Council, 1998Stanovich, 1986).

What dyslexia looks like

Signs of dyslexia may emerge before children start school, but they become more apparent in the classroom.

Two young students sitting at desks in a classroom, focused on writing in notebooks with pencils. Other students are visible in the background.

They may include the following:

  • Delay in learning tasks such as tying shoes and telling time
  • Difficulty expressing oneself
  • Inattentiveness, distractibility
  • Difficulty with following directions
  • Left-right confusion
  • Difficulty learning alphabet, times tables, song lyrics
  • Difficulty with rhyming
  • Poor playground skills
  • Difficulty learning to read
  • Mixing orders of letters or numbers when writing
  • Reversing letters or numbers

Dyslexia legislation across the United States

A map of the United States showing states with universal screening laws, dyslexia laws, both, or neither, using different shades of green and gray for each category.

Recent efforts to increase awareness of and protections for those with dyslexia and other reading difficulties have triggered major shifts in state-level educational legislation. According to the National Center on Improving Literacy, 49 states have passed laws addressing dyslexia in public schools. Common themes in the legislation:

  • Increased emphasis on intervention
  • Dyslexia screening procedures
  • Adoption of multi-tiered systems of support (MTSS)
  • The use of explicit instruction
  • Changes to teacher preparation and training
  • Establishing rights for individuals with dyslexia (e.g., creating state task forces to study educational issues/needs)
  • Preventing the use of dyslexia screening requirements to supplant or postpone IDEA or Section 504 eligibility determination process.

How does mCLASS help you screen for students at risk?

Amplify’s mCLASS system includes DIBELS® 8th Edition’s teacher-administered one-minute measures and other built-in dyslexia screeners, as well as intervention and robust reports for teachers and administrators. It’s all you need to monitor and support every student in your classroom.

DIBELS 8th Edition logo with University of Oregon College of Education text and a yellow arc above the letters.

The most critical early reading skills—including phonemic awareness, the alphabetic principle, and oral reading fluency (Good, Simmons, & Kame’enui, 2001National Reading Panel, 2000Torgesen, 2002)—are best measured through direct observation. This is a key feature of mCLASS’s content validity. Early literacy skills, defined as the  ability to translate letters to sounds and combine sounds to read and comprehend, are directly measured in mCLASS through a student’s active production of sounds and words, ultimately followed by reading and demonstrating comprehension

Groups driving change

The following organizations advocate for dyslexia legislation, supports, and other early literacy efforts:

Decoding Dyslexia is a national network of parent-led grassroots groups across the country, organized around the issue of equity and concerned about limited access to educational opportunities for all students, including those at risk for dyslexia in the public education system. Through Decoding Dyslexia’s 50 state chapters, tireless parent leaders work to share dyslexia resources, raise awareness, remediate and support students with dyslexia, inform policy makers on best practices to identify at-risk students, advocate for the drafting and passage of state policies, and empower families to support equity for all children.

The International Dyslexia Association (IDA) is a non-profit education and advocacy organization devoted to issues surrounding dyslexia. Serving individuals with dyslexia, their families, and professionals in the field, the IDA provides information about dyslexia on its website, publishes a peer-reviewed scientific journal called Annals of Dyslexia, and provides referral services to individuals and professionals who use the federal legislative systems to advocate for individuals with dyslexia. 

The University of Oregon Center on Teaching and Learning—a UO College of Education research and outreach center that develops educational interventions and assessment tools—developed DIBELS (Dynamic Indicators of Basic Early Literacy Skills). DIBELS is a research-backed instrument for evaluating reading in kindergarten through eighth grade classrooms. In developing DIBELS 8th Edition (University of Oregon, 2018), the Center on Teaching and Learning made significant efforts to ensure that the measures meet state-level dyslexia screening requirements and help maximize testing efficiencies for schools.

The National Center on Improving Literacy (NCIL) is a partnership among literacy experts, university researchers, and technical assistance providers, with funding from the United States Department of Education. Its mission is to increase access to, and use of, evidence-based approaches to screen, identify, and teach students with literacy-related disabilities, including dyslexia.

Amid ongoing national literacy crisis, Boost Reading demonstrates strong outcomes for academically vulnerable students

BROOKLYN, NY (November 29, 2023) — Amplify, a publisher of next-generation curriculum and assessment programs, released the results of a second year-long study on the impact of Boost Reading, a personalized learning program for elementary grades powered by the Science of Reading. Students in grades K–5—including English/multilingual learners—who used Boost Reading for 30 minutes a week significantly outperformed their peers. Students at risk for reading difficulty who used Boost Reading were 26 percent more likely than students not using Boost Reading to meet or exceed grade-level benchmarks by the end of the school year.

The study compared more than 43,000 K–5 students who used Boost Reading for at least 30 minutes a week with a group of more than 130,000 students who did not use Boost Reading, matched on key student and school characteristics. Educators measured student reading skills using DIBELS® 8th Edition, the gold-standard early reading assessment developed by the University of Oregon.

A digital, student-driven program for grades K–5, Boost Reading enables educators to support every reader in their classrooms through its adaptive technology and powerful storytelling. Boost Reading aligns with Amplify’s other early literacy programs and pairs with Boost Lectura to provide personalized English and Spanish instructional parity.

“Seeing such clear and compelling outcomes for two years in a row is just the kind of promising data we could all use as we continue to navigate a post-COVID world,” said Melissa Ulan, senior vice president of the literacy suite at Amplify. “When educators have research-backed tools to personalize instruction, they are able to meet the needs of every student and drive significant growth in reading skills. The data confirm it.”

The research is rigorous: This national study from the 2021–22 school year meets the Every Student Succeeds Act’s (ESSA) Tier 2 Moderate Evidence criteria, showing significant and positive effects on student outcomes. Notably, 62 percent of at-risk English/multilingual kindergarten students in the Boost Reading group finished the year at benchmark or above, compared to 47 percent of students in the comparison group.

About Amplify
A pioneer in K–12 education since 2000, Amplify is leading the way in next-generation curriculum and assessment. Our core and supplemental programs in literacy, math, and science engage all students in rigorous learning and inspire them to think deeply, creatively, and for themselves. Our formative assessment products turn data into practical instructional support to help all students build a strong foundation in early reading and math. All of our programs and services provide educators with powerful tools that help them understand and respond to the needs of every student. Today, Amplify serves more than 15 million students in all 50 states. For more information, visit amplify.com.

Media Contact
Kristine Frech
media@amplify.com

New data: early literacy readiness reaches post-pandemic high, but slowing momentum requires urgent focus on foundational skills

Brooklyn, NY (October 16, 2025) – Amplify, a publisher of next-generation curriculum and assessment programs, today released a research brief on the latest K–2 beginning-of-school-year literacy data. Findings reveal that at the beginning of the 2025–2026 school year, 48 percent of K–2 students were on track to learn to read, marking the highest literacy readiness level since the start of the pandemic. However, year-over-year progress has plateaued, and students have not yet reached pre-pandemic levels, highlighting the ongoing need for strong foundational skills instruction and support for struggling readers in the early grades.

The data also underscore the importance of early intervention. Longitudinal analysis shows that K-2 students who began the school year behind in reading readiness but managed to catch up by the end of the year were likely to remain on track through the end of third grade. The findings highlight how critical it is to intervene as early as possible to get students on track, as the likelihood of students achieving reading proficiency by third grade increases the earlier it happens.

“It’s encouraging to see nearly half of our youngest students ready for core instruction. This is a testament to the hard work of educators and the impact of evidence-based practices in the classroom,” said Susan Lambert, chief academic officer, elementary humanities, at Amplify. “However, the data point to a worrisome stall in year-over-year progress. This is a critical moment for a renewed, laser focus on early intervention. Our longitudinal findings make it abundantly clear: the earlier we get a student on track in K–2, the greater their likelihood of achieving reading success by the end of third grade.”

Amplify recommends that districts and schools consider administering a universal screener three times a year to follow student progress in early reading. With that information in hand, educators can make more informed decisions related to:

  • Identifying students who need additional support;
  • Ensuring all students receive quality instruction grounded in evidence-based practices, such as the Science of Reading;
  • Developing plans for addressing student needs and allocating resources to implement those plans; and
  • Regularly monitoring student progress and making adjustments as needed.

About Amplify

A pioneer in K–12 education since 2000, Amplify delivers next-generation curriculum and assessment on an intuitive, integrated platform that includes thousands of free lessons. Our high-quality programs in ELA, math, and science engage students in rigorous learning that inspires them to think deeply, creatively, and independently. Our formative assessment tools help teachers identify the instruction each student needs to build a strong foundation in reading and math. Across all programs and services, we equip educators with powerful tools to understand and respond to the needs of every learner. Today, Amplify serves more than 18 million students and teachers across all 50 states and in 6 continents worldwide. For more information, visit Amplify.com.

Media Contact: Kristine Frech; media@amplify.com

Welcome, Tennessee educators!

Amplify Core Knowledge Language Arts (CKLA) is the Tennessee program built on the Science of Reading research. Using a fundamentally different approach to language arts, CKLA sequences deep content knowledge with research-based foundational skills.

Children attentively watch something; one child wears a blue shirt and others are visible in the background. Illustrations include reading, a city with a bridge, and a figure resembling Poseidon.

High quality instructional materials

Amplify Core Knowledge Language Arts (CKLA) has been approved by the state of Tennessee.

Outline map of tennessee with the state name superimposed in a simple font.

All-green on EdReports

EdReports, an independent curriculum review nonprofit, rates curriculum on three gateways: Text Quality, Building Knowledge, and Usability. Amplify CKLA earned a green rating in all three.

Read the review on EdReports.

Illustration of a child dressed as a superhero surrounded by three colorful children's books titled "the green fern zoo," "CKLA fables," and an educational game interface.

Science of Reading

Tennessee has an initiative to get 75 percent of the state’s third graders proficient by 2025. This Science of Reading toolkit will provide some insight into the research behind the Science of Reading and tools to help you support your students as they become proficient readers.

Program overview

Amplify CKLA inspires curiosity and drives results, empowering all students with rich background knowledge. See what schools are saying about our knowledge-based curriculum.

Background Knowledge drives results for Tennessee students

Our approach to building background knowledge is based on three pillars often overlooked in other curricula. It is:

  • Content-specific.
    Clearly-outlined content objectives are specific and support the development of knowledge in history, science, literature, culture, and the arts.
  • Cumulative.
    Topics and vocabulary connect within and across grades, allowing students to extend knowledge and revisit topics in increasing depth in later grades.
  • Coherent.
    When curriculum is fragmentary and disconnected, students face repetitions as well as gaps that can hinder learning. An intentional
    design ensures the curriculum fits together as a whole.

Foundational skills instruction that makes a difference

Amplify CKLA’s second design principle is a research-based approach to foundational skills that gets real results.

  • Explicit.
    Learning isn’t left to chance. All 44 sounds and their 150 spellings in the English language are taught, practiced, and mastered, with ample opportunity to encounter each sound-spelling in diverse settings.
  • Sequential.
    By moving in a sequence from easier to more complex in phonics and foundational reading skills, students master concepts before moving forward and gradually become more independent
  • Rewarding.
    Learning to read should be fun. Decodabe chapter-books that feature dynamic plots and characters make kids want to read more. Engaging stories include children who discover fossils and a grandmother who flies hang gliders.
Illustration of two strands: one for language comprehension with components like knowledge and vocabulary, and another for word recognition with elements like sounds and letters, intertwining.

Materials

The program provides engaging print and multimedia materials designed to provide a robust literacy-rich foundation in every classroom.

Teacher Materials

Research-based lessons integrate foundational literacy skills and cross-curricular content knowledge.

  • Teacher Guides
  • Projectable lesson components
  • Quests for the Core for Grades 3–5 (immersive, problem-based learning)
Grade 6 Unit 4 Eureka! Teacher Guide
Cover of a Grade 3 activity book titled "Unit 9: Early Explorations of North America" featuring a map and a sailing ship.

Student materials

Engaging student resources include dynamic decodable chapter books and content-rich, cross-curricular Readers.

  • Student Readers
  • Activity Books
  • Formative Assessments
  • Poet’s Journal and Writer’s Journal (write-in Readers for Grades 4–5)

Multimedia resources

Access the program’s online resources anywhere, anytime, from any device.

  • Teacher and student materials
  • Knowledge Builder animated videos
  • Sound Library songs and videos
  • Differentiation and enrichment guides
  • Real-time program support via email, live chat, and phone
  • Professional learning videos, webinars, and self-driven modules
A laptop screen displays the Amplify CKLA website with options to select grades Pre-K to 3.
Illustration of educational items including a notebook, pencil, basketball, trophy, school bus, magnifying glass, graduation cap, light bulb, ribbon, globe, pencils, and laptop.

Hands-on phonics materials

Multisensory phonics and foundational skills resources give students the opportunity to practice key skills using diverse, fun approaches that build independence.

  • Big Books
  • Large and Small Letter Cards
  • Spelling Cards
  • Vowel and Consonant Code Flip Books
  • Chaining Folders
“This has been the single most powerful curriculum implementation I have seen in my 16 years of education. ”

Deanna Zarichansky

Assistant Principal, Trousdale County Elementary School, Hartsville, TN

Amplify CKLA In Action

Take a peek inside a classroom, spotlight experiences on knowledge and foundational skills and hear fellow educators and students discuss the power of Amplify CKLA

Contacts

A smiling woman with shoulder-length blonde hair, wearing an orange blouse and gold earrings, against a light background.

Chasity O’Quinn
Account Executive for East Tennessee
coquinn@amplify.com
(865) 599-5101

Portrait of a smiling woman with short brown hair, wearing glasses, a black blouse, and a pearl necklace against a maroon background.

Ann Patterson
Account Executive for West Tennessee
apatterson@amplify.com
(704) 813-7757

High-impact, evidence-based programs that help students make gap-closing gains in reading and math

Amplify Tutoring engages students and drives measurable academic gains. We partner with districts to ensure that children become confident, proficient readers and mathematical thinkers.

A student and an adult sit at a table, both looking at a laptop screen. The background features blue and yellow geometric shapes with a star icon.

About Amplify Tutoring

Grounded in evidence-based practices and taught by caring, consistent tutors, our high-impact tutoring programs use high-quality instructional materials and data-driven mCLASS® products to support and engage students.

  • Personalized, data-driven instruction
  • Research-backed solutions tailored to support your Multi-Tiered System of Supports (MTSS) framework
  • Customizable—before, during, or after school; year-long, semester-long, and summer programming
  • Comprehensive, hands-on program management and staffing support

Amplify Literacy Tutoring supports K–6 readers through engaging, systematic instruction aligned to the Science of Reading and driven by mCLASS DIBELS® data.

Amplify Math Tutoring accelerates student achievement in grades 3–5 and builds students’ confidence in speaking, writing, and thinking mathematically.

More than a program: a true partner

Hear directly from district leaders and educators who’ve experienced the Amplify Tutoring difference. In these candid conversations, they share how we partner to deliver solutions for schools, gains for students, and support for teachers.

What district leaders and teachers are saying

“Students’ enthusiasm for Amplify Tutoring is evident! From the moment they sit down for their session, you can see how motivated and engaged they are while working with their tutor and peers. … It is very helpful that the tutors provide real-time feedback to students, and it has allowed them to be more confident and committed to their own learning paths.”

—Jennifer Quartano, Teacher, NYC Public Schools

What district leaders and teachers are saying

“There has been an increase in many students’ scores. The students are always excited to participate and the small group instruction truly is making a difference … I am passionate about reaching students who require support. This initiative was very much needed in our school. Thank you, Amplify Tutoring!”

—Denise Bishop, Assistant Principal, Prince George’s County Public Schools

What district leaders and teachers are saying

“I appreciate the support and quick response we have received from Amplify Tutoring this year. We have seen lots of growth with our fourth graders with phonics, decoding, vocabulary, and comprehension that we likely would not have seen without the program!”

—Heather Wasburn, Instructional Coach, Springfield City Schools

Bar chart showing that students with 2–3 literacy tutoring sessions per week outperform national growth norms across grades K–5, compared to students not in tutoring.
Bar chart showing percent correct in performing multi-digit arithmetic for Grades 3, 4, and 5 before and after Amplify Math Tutoring; scores improved in Grades 4 and 5 after tutoring.

Our impact

Amplify Tutoring accelerates learning for students who need it most. Students in Amplify Tutoring are more likely to achieve outsized academic gains than similarly at-risk peers in the same schools who are not enrolled in the program.

A hexagonal badge labeled "National Student Support Accelerator Tutoring Program Design, Amplify Tutoring 2024-2027," recognizing high impact tutoring programs that boost reading competency.

Amplify Tutoring has been awarded the National Student Support Accelerator (NSSA) Tutoring Program Design Badge by Stanford University!

Learn more

Reliable, easy-to-read data

With valid and reliable mCLASS assessments and real-time reporting always within reach, everyone involved in a child’s learning journey—from teachers and tutors to school leaders and families—can support student growth.

  • Teachers have visibility into students’ data and all tutoring lesson content.
  • School and district administrators receive regular tutoring attendance and progress-monitoring reports.
  • Caregivers receive Home Connect letters and activities to help their child practice foundational skills at home.
Screenshot of mCLASS Home Connect dashboard displaying reading assessment data, scores, and activity details with charts and text descriptions.

High-quality instructional materials that power Amplify Literacy Tutoring

Amplify Literacy Tutoring includes high-quality resources to support students’ growth.

Targeted lessons generated by precise data

mCLASS Intervention is a research-backed, ESSA rated program that targets instruction based on students’ mCLASS DIBELS 8th Edition assessment results. With engaging lessons aligned to the Science of Reading that adapt based on students’ progress monitoring results, mCLASS Intervention streamlines time-consuming data analysis for teachers and makes sure that tutoring focuses on the literacy skills students need.

A line graph displays students' letter-sound fluency scores from June to May, showing progress toward a custom goal of 90, with benchmark and performance data points.
A screenshot of the mCLASS Reading assessment dashboard showing student scores, benchmarks, and assessment categories for Bolton Grade 1.

Transparency into student performance

mCLASS DIBELS 8th Edition is our nationally normed benchmarking and progress monitoring assessment tool to measure students’ foundational literacy skills. Students take the benchmark assessment three times a year and progress monitoring occurs every 7–10 lessons in between.

Proven impact for students who need it most

Boost Reading delivers targeted, adaptive practice that meets students where they are, while teachers get simple and meaningful insights into student progress. The program consistently moves students toward grade-level proficiency with just 30 minutes of use per week. Students can continue learning through Boost Reading between tutoring sessions or at home.

High-quality instructional materials that power Amplify Math Tutoring

Amplify Math Tutoring includes high-quality resources to support students’ growth.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Mini-Lessons provide targeted intervention for students who require additional support or need more time. These lessons are aligned to the most critical topics throughout a unit; they enhance conceptual understanding while improving procedural fluency and application.

Two overlapping math worksheets on a white background with blue and orange squares; worksheets show graphs, equations, and instructional text about graph rotations.

Valuable insights into student mathematical thinking

mCLASS Math is our benchmarking and progress monitoring assessment tool. Students take the benchmark assessment three times a year; progress monitoring occurs every 7–10 lessons in between.

Personalized practice—anytime and at home

Fact fluency practice provides students with regular practice beyond rote memorization. The program is used during tutoring sessions and is available on non-tutoring days. Students also have access to Boost Math’s independent learning activities, to continue practicing between tutoring sessions or at home.

A woman and a boy sit at a table, looking at a tablet together. The background includes blue and orange graphic elements with a clipboard icon.

Consultation and collaboration

Amplify Tutoring tailors our support for educators, schools, districts, caregivers, and state-level leaders, helping to realize the promise of high-impact tutoring programs. Through collaborative partnerships at every level, Amplify Tutoring engages communities in driving academic improvement and boosting attendance.

Our services can include:

Program design consultation: Amplify Tutoring offers expert program design consultation services to help schools and districts create effective and scalable high-impact tutoring programs.

Tailored onboarding: We provide customized training sessions for school, district, and state leaders, ensuring that Amplify Tutoring services are integrated smoothly into existing systems.

Ongoing professional development and coaching: Our program management includes continuous training, coaching support, and office hours with pedagogical experts to fortify the program’s success and adaptability.

Caregiver engagement: We offer resources and support for families and caregivers, including tips for at-home support, helping them stay informed and involved in their child’s progress.

Seamless communication and support: We provide transparent communication and engage all stakeholders—district and school leaders, teachers, caregivers, and students—to keep everyone aligned and informed.

Data reporting: We provide detailed reports and analytics to district and school leaders, giving them the power to monitor progress, make data-driven decisions, and celebrate successes.

Amplify Tutoring is part of a connected early literacy and math suite.

Our literacy and math suite programs are designed to support and complement each other in a Multi-Tiered System of Supports (MTSS). Learn more about our related programs.

The promise of Next Generation Science Standards

The Next Generation Science Standards (NGSS), and other state standards like them, represent more than just new expectations—they embody a transformative vision for science education. Instead of asking students to memorize isolated facts, NGSS calls for students to think like scientists and engineers while grappling with real-world phenomena that matter to them and their communities.

This shift from learning about to figuring out develops the critical-thinking skills and problem-solving mindset students need to tackle complex challenges throughout their lives.

Two children wearing safety goggles conduct an NGSS-inspired science experiment at a table, mixing substances in clear plastic cups with plastic spoons.

Three-dimensional (3D) learning that engages and inspires

Two girls conduct a science experiment in a classroom, holding a clear cup with water and a straw, while observing and taking notes at their desks.

At the heart of NGSS lies three-dimensional learning, where Science and Engineering Practices (SEPs), Crosscutting Concepts (CCCs), and Disciplinary Core Ideas (DCIs) work together to create rich, meaningful learning experiences.

Science and Engineering Practices are the approaches and habits of real scientists and engineers: asking questions, developing models, planning investigations, and constructing evidence-based explanations and arguments. Working with these practices awakens student curiosity, drives student-centered learning, encourages deep and critical thinking, and creates opportunities for students to articulate their understanding in a variety of meaningful ways. 

Crosscutting Concepts are the big-picture thinking tools that scientists use every day. When students use Crosscutting Concepts as a lens to examine common themes in science such as patterns, cause and effect, systems, and energy, they begin to identify and connect science ideas across disciplines.

Disciplinary Core Ideas represent the essential knowledge of science. Students figure out these science ideas through their investigation of real-world scientific phenomena, and consequently develop deep understandings of science ideas.

The student experience: from passive to passionate

Four children sit at a classroom table examining a small object together, surrounded by open notebooks and colorful classroom decorations.

In three-dimensional science learning, students become active investigators, gathering evidence from multiple sources and constructing increasingly sophisticated scientific arguments and models about real-world phenomena. They engage in evidence-based debates, collaborate on engineering challenges, and make connections between their investigations and their own communities, as well as the world beyond. See it in action.

An adult and a child sit cross-legged on the floor in a classroom, reading a book together. The classroom setting includes chairs, tables, and colorful decorations.

The literacy-rich nature of NGSS instruction means students read, write, speak, and listen like real scientists and engineers, actively questioning, analyzing, and communicating findings. This integrated approach develops both scientific understanding and communication skills—skills that transfer across all subjects and even beyond the classroom.

How Amplify Science delivers as an HQIM curriculum

Amplify Science was built from the ground up to fulfill the NGSS vision and is an HQIM (high-quality instructional materials) curriculum, characterized by the following:

  • All green on EdReports. Amplify Science has been evaluated by EdReports, an independent K–12 curriculum review organization, and received the esteemed all-green rating (“meets expectations”) across all three of its gateways: Alignment to the NGSS, Coherence and Scope, and Usability. Learn more about our all-green rating.
A circular badge with the text "Read the Report" at the top, "EdReports" logo in the center, and "Review Year 2021" at the bottom.
  • The real-world anchor phenomenon is deeply woven throughout each unit as the central thread. In Amplify Science, students assume the role of a real scientist or engineer to investigate a compelling phenomena in K–5 and grades 6–8. Over the course of the unit, they gather and make sense of a variety of evidence sources and develop increasingly sophisticated explanations and models as their understanding deepens. Whether investigating a mysterious fossil discovery as geologists or designing emergency supply delivery pods as mechanical engineers, students experience the kind of work done by real scientists and engineers.  
Two boys wearing safety glasses sit at a classroom table. One holds a cup with a white liquid; the other holds a pencil and notebook. Bulletin boards with colorful labels are in the background.
  • All three dimensions of the NGSS are intentionally and thoughtfully integrated throughout every unit and across all grades. As they built Amplify Science as an HQIM curriculum, the experts at UC Berkeley’s Lawrence Hall of Science deliberately crafted each unit, chapter, and lesson with the following guiding questions in mind:
    • What do we want students to figure out (specifically, what Disciplinary Core Idea or part of a DCI)? 
    • How do we want them to figure it out (i.e., what Scientific and Engineering Practice will they engage in to reach understanding)? 
    • What Crosscutting Concept can scaffold students’ understanding and connect it to other ideas about the natural world that they have learned? 

This systematic approach ensures that every learning experience is purposefully designed to engage students in authentic scientific thinking while building connections across concepts and grades.

A teacher observes and assists a group of four students working on a science activity at a classroom table.
  • Educators receive comprehensive implementation support. Through lesson-planning resources, science background materials, built-in assessments, and expert coaching—all provided directly through Amplify—teachers are able to confidently implement the program’s NGSS-aligned, high-quality instructional curriculum with greater ease and success. 
Two women sitting at a table looking down at documents, appearing focused and engaged in discussion or review.
  • Multimodal learning experiences support all learners. Amplify Science ensures that everyone can access scientific concepts through the Do, Talk, Read, Write, Visualize multimodal approach that includes hands-on investigations, digital simulations, collaborative discussions, and literacy-rich activities. 
Two boys work together at a desk with a laptop and notebooks, while other students sit and work in the background.
Bar chart comparing percent growth in three skills—reading comprehension, science vocabulary, and science content knowledge—for “Business as usual” vs. “Amplify Science,” aligned with NGSS standards.

Ready to transform your science instruction with an HQIM curriculum?

Please contact your sales representative today, or download a sample unit to experience three-dimensional learning firsthand. Your future scientists, engineers, and citizens of the world are waiting!

Explore a unit

New York

To view this protected page, enter the password below:



Amplify CKLA for Georgia

To view this protected page, enter the password below:



Welcome, New York City reviewers

On this site, you will find the following information to assist you as you review Amplify Science: a guided tour to help you navigate both our K–5 and 6–8 programs, an overview video of our 6–8 program, a Getting Started guide, a program guide, unit maps and correlations to New York State standards for each of the units Amplify is submitting to the New York City Department of Education for review.

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.

Getting started

Welcome to Amplify Science, a breakthrough curriculum designed from the ground up for new science standards and three-dimensional learning. Amplify is pleased to submit our next-generation K–8 science curriculum for review as a core instructional resource to the New York City Department of Education. We recommend watching the below video and walking through the Guided Tour for the level you are reviewing to get started.

Watch the video

View the guided tour

Learn how to navigate our online curriculum by clicking through the guided tour for the level(s) you’re reviewing:

Elementary school program
Middle school program

Units for review

Amplify Science has kindergarten through eighth grade units available for review.

Please note: for the K–5 units, the teacher accesses the digital curriculum for daily instruction (or a printed version of the teacher guide), while students use a variety of print and hands-on materials. When lessons call for students to access simulations and other digital tools (about once a week in grades 2–5), they will share devices and be logged-in via teacher credentials.

For the 6–8 program, both teachers and students access the digital curriculum, with students requiring devices for about 50 percent of lessons (either on shared devices or 1:1). Printed teacher guides and student notebooks are also available as downloadable PDFs in the program, or printed and bound from Amplify.

To access the digital curriculum, simply click on the link below to access the unit(s) you will be reviewing and related materials. View Technology Requirements.

Amplify Science California parents

Authored by UC Berkeley’s Lawrence Hall of Science, Amplify Science was designed from the ground up for the Next Generation Science Standards to teach students to think, read, write, and argue like real scientists and engineers.

  • Four students work together to perform a scientific experiment
  • Amplify Science Student Book What My Sister Taught Me About Magnets
  • Two middle school girls conduct a science experiment
  • Ocean, Atmosphere, and Climate digital simulation

Introducing Amplify Science

The program combines literacy-rich activities with hands-on learning and digital tools to engage students in exploring a compelling real-world phenomenon in every unit.

Amplify Science K-5

Our complete program for Grades K-5 recognizes the importance of students’ engagement with hands-on experiences, and amplifies those with literacy-rich activities, closely aligned digital materials and award-winning, informational books.

Watch now

Four middle school students around a table in a classroom, engaged in a group science project with Amplify Science materials spread out in front of them.
Two girls in elementary school are using Amplify Science on a laptop

Amplify Science 6-8

Our complete program for grades 6-8, available now, was designed to meet 100 percent of the NGSS, and features curriculum units that make use of a rich collection of evidence sources, including digital simulations, engaging media, physical models and more.

Watch now

Parent letters

Help your child experience success with science by reviewing the parent letters about the content covered in each grade.

Four middle school science students gather around a desk, engaged in an interactive group project, investigating an object together in a colorful classroom setting.

Oregon Math State Review for 9–12

To view this protected page, enter the password below:



Oregon Math State Review for 6–8

To view this protected page, enter the password below:



Use stimulus funding to drive Rhode Island transformation

Rhode Island districts have significant flexibility in how to use the ESSER money, with ESSER II and III specifying that some of the funds should be used to address unfinished learning. Given the enormous influx of resources flowing into K-12, now is the time to drive important, sustainable change in your district.

Rhode Island recognizes how imperative it is to provide high-quality curriculum to prepare students for college and career readiness. We’ve assembled resources so you can explore how to support your district or school in adopting a high-quality program.

All K-12 Amplify programs and services meet the criteria for funding. Contact Ali Weis, account executive to learn more. 

Amplify Science K–8

Amplify Science K–8 is a hands-on, phenomena-based curriculum that helps students make the shift from learning about to figuring out scientific concepts. With demonstrated unparalleled effectiveness across all student groups, Amplify Science empowers students to think, read, write, and argue like real scientists and engineers each and every day.

Developed by UC Berkeley’s Lawrence Hall of Science, our program features:

  • phenomena-based approach where students construct a more complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Newly crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.

Hear what these educators have to say about the program, then click the orange button below to learn more.

Amplify Math K–12

amplify math middle schoolers in classroom

Amplify Math K–12 is a brand new program designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. Powered by Desmos technology, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.

Additional Amplify programs and resources

A pioneer in K–12 education since 2000, Amplify programs provide Rhode Island teachers with powerful tools that help them understand and respond to the needs of every student. View our entire suite of K-12 core and supplemental curriculum, assessment, and intervention solutions. Ready to learn even more? Contact Ali Weis, Account Executive.

Meet Ali

Hi, I’m Ali! I partner with Rhode Island school districts because I believe every student should have the opportunity for a rigorous, engaging, and impactful learning experience. For more information, please fill out the form below, and I’ll be in touch soon!

Ali Weis

Account Executive

aweis@amplify.com

(480) 510-6703

A smiling person with short blonde hair is wearing a blue top and a large, circular-link necklace, standing outdoors with trees and grass in the background.

To view this protected page, enter the password below:



Inspiring the next generation of Florida scientists, engineers, and curious citizens

Amplify Science Florida is a brand-new blended science curriculum for grades 6-8 that meets 100 percent of the Next Generation Sunshine State Standards for Science.

The national edition of Amplify Science for middle school was recently rated all green by EdReports. Read the review on EdReports.

  • Un rover robótico está colocado en un terreno arenoso y lleno de rocas bajo un cielo brumoso, dejando huellas de neumáticos tras él.
  • Dos niños con gafas de seguridad participan en una actividad científica; uno sostiene una taza de líquido y hace gestos mientras el otro toma notas con un lápiz.
  • Dos niños están sentados en una mesa redonda en un salón de clases, mirando juntos la pantalla de una computadora portátil. Ambos parecen comprometidos y están sonriendo.
  • Una ilustración digital de una araña muestra el proceso de producción de veneno dentro de una célula de glándula venenosa. El diagrama del cuerpo de la araña está a la izquierda, con una vista celular detallada a la derecha, resaltando los componentes celulares.

Grounded in research and proven effective

UC Berkeley’s Lawrence Hall of Science, the authors behind Amplify Science Florida, developed the Do, Talk, Read, Write, Visualize approach, and gold standard research shows that it works. Our own efficacy research is pretty exciting, too.

What educators say

“Just looking through the Amplify Science curriculum, I’m wishing I could go back in time and learn these concepts with these resources! I love that Amplify is more focused on diving deeper into fewer concepts over the year, rather than grazing the surface of more topics.”

Lizzie

Middle school teacher, KIPP charter network

What educators say

“In using this program, I have seen that my students are completely engaged and are able to visualize models of concepts using the simulations that they otherwise would not be able to visualize. The program is not about rote memory of facts—rather, it addresses the bigger picture and assesses a deeper understanding of science concepts.”

Julie

Science teacher, Georgia

What educators say

“The engineering units are engaging and really helped me better understand the new standards. I love being able to walk around and talk to students as they explore solutions, make claims, and reason with their peers.”

Karla

Science teacher, California

A powerful partnership

Amplify Science Florida was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify. As the Hall’s first curriculum designed to address the Next Generation Sunshine State Standards for Science, Amplify Science Florida reflects state-of-the-art practices in science teaching and learning.

Our approach

Each unit of Amplify Science Florida engages students in a relevant, real-world problem where they investigate scientific phenomena, engage in collaboration and discussion, and develop models or explanations in order to arrive at solutions.

Rooted in research

Amplify Science Florida is rooted in the Lawrence Hall of Science’s Do, Talk, Read, Write, Visualize model of learning. This research-based approach presents students with multiple modalities through which to explore the curriculum.

Four middle school science students gather around a desk, engaged in an interactive group project, investigating an object together in a colorful classroom setting.
Two middle school girls conduct a science experiment

A flexible, blended program

Amplify Science Florida includes hands-on activities, print materials, and powerful digital tools to support online and offline teaching and learning. Highly adaptable and user-friendly, the program gives schools and individual teachers flexibility based on their technology resources and preferences.

Students take on the roles of scientists and engineers.

In each unit, students take on the role of a scientist or engineer to investigate a real-world problem. These problems provide relevant contexts through which students investigate phenomena.

Two middle school girls use a Student Investigation Notebook to take on the role of scientists and engineers

Phenomena-based teaching and learning

Download the “What’s so phenomenal about phenomena?” e-book

Download a free e-book

What’s included

Flexible resources that work seamlessly together

Science articles

The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

Student Investigation Notebooks

Available for every unit, the Student Investigation Notebooks provide space for students to:

  • record data
  • reflect on ideas from texts and investigations
  • construct explanations and arguments

Available with full-color article compilations for middle school units

Digital student experience

Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

  • conduct hands-on investigations
  • engage in active reading and writing activities
  • participate in discussions
  • record observations
  • craft end-of-unit scientific arguments

Teacher’s Guides

Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

  • detailed lesson plans
  • unit and chapter overview documentation
  • differentiation strategies
  • standards alignments
  • in-context professional development

Hands-on materials kits

Hands-on learning is at the heart of Amplify Science Florida. Each unit kit contains:

  • consumable and non-consumable hands-on materials
  • print classroom display materials
  • premium print materials for student use (sorting cards, maps, etc.)

Explore more programs.

Our programs are designed to support and complement one another. Learn more about our related programs.

Welcome, Amplify Tutoring caregivers!

Welcome to Amplify Tutoring! We’re excited to support your student with high-impact tutoring in both reading and/or math. Our program is grounded in research and designed to build confidence, strengthen foundational skills, and accelerate learning. We also provide tools and resources to help teachers and caregivers work together to create a strong culture of learning at home and at school. Para la versión en español, haga clic  aquí.

An adult and a child wearing blue headphones smile and give each other a high five while sitting at a table with a laptop.

What is high impact tutoring?

High-impact tutoring is small-group, targeted instruction that can lead to significant learning gains. Amplify Tutoring achieves these gains through the following best practices:

High-quality
materials

Tutors use high-quality reading and math lessons that are proven to work. You’ll see real progress and growth through your child’s individual data.

Frequent and consistent high-impact
tutoring sessions

Tutors provide personalized attention in small groups. Our program is designed for students to participate in three or more 30-minute sessions per week.

Supportive relationships and training

Consistent tutor-student pairings support relationship-building and higher achievement. Tutors receive ongoing professional development.

Amplify Tutoring provides your student with engaging and effective tutoring programming throughout the year.

Minutes matter

Every minute counts in helping your child learn and grow. To get the most out of tutoring, it’s important they come on time and attend regularly. Here are a few quick reminders:

How you can help your child get the most from tutoring

  1. Communicate with your child’s teacher. If your child can’t make it to tutoring, just let the teacher or coordinator know so they can support them.
  2. Make tutoring days a priority. Try your best to make sure your child is at school on tutoring days. Every session helps them grow!
  3. Ask for the tutoring schedule. Reach out to your child’s teacher or the tutoring coordinator to find out the days and times for tutoring.
  4. Plan around tutoring time. If you can, schedule appointments and other activities at different times so your child doesn’t miss a session.

Talking to your student about their Amplify Tutoring sessions

Discuss tutoring with your student at home or while getting ready for the day. To support their learning, you may consider:

Celebrating progress

Ask:

  • What new reading skills or strategies have you learned?
  • How has your reading improved since starting tutoring?
  • Do you have any favorite books or activities in tutoring?

Setting goals together

Ask:

  • What reading skills would you like to improve in tutoring?
  • What goal would you like to achieve by the end of the tutoring program?
  • What steps can you take to help achieve those goals?
  • How can I help support your goals?

Sharing your support

Ask:

  • How can I help you with your reading or math?
  • Can we set aside time each day for you to practice your skills?
  • What was the most interesting part of your tutoring session? 
  • What do you feel proud of achieving in this week’s sessions? 
  • When did you feel really excited about what you were learning?

Amplify Tutoring literacy support materials and resources

Caregivers, please find materials and resources below that may be helpful to you and your student.

mCLASS:

  • Schools participating in Amplify Tutoring use mCLASS assessment and mCLASS Intervention.
  • mCLASS assessment identifies reading risks and helps address student needs through targeted interventions such as high-impact tutoring.
  • Check the Understanding mCLASS guide for reading assessments, caregiver resources, and growth.
  • Explore the mCLASS caregiver hub in English and Spanish.
  • View the sample HomeConnect letter that highlights your student’s strengths and growth areas.
  • Visit the HomeConnect site which offers activities for your family to practice important literacy skills with your child. 

Boost Reading:

  • Boost Reading provides personalized instruction based on the Science of Reading.
  • It complements your student’s high-impact tutoring, giving them a place to practice the same skills.
  • Explore Boost Reading caregiver resources.

Note: All schools participating in Amplify Tutoring use mCLASS Intervention. Ask your student or their teacher about the implementation of Boost Reading.

Amplify Tutoring math support materials and resources

Caregivers, please find materials and resources below that may be helpful to you and your student. 

Amplify Math Tutoring materials:

Learn more about the mCLASS Math Assessment your student will take.

  • Schools participating in Amplify Math Tutoring use Amplify’s mCLASS math assessment, Amplify Desmos Math Mini-Lessons, and Amplify’s Fluency by Heart.
    • mCLASS assessment provides valuable insights into student math thinking. It shows how students think about grade-level math and what they already understand.
    • Amplify Desmos Math Mini-Lessons are the lessons tutors use to help guide your student through grade-level math concepts.
    • Amplify’s Fluency by Heart is the fact fluency program your student will use during tutoring. Students are encouraged to continue to practice their fact fluency through this program outside of tutoring, too!
  • Explore the Math Caregiver Hub in English and Spanish to learn more about Amplify Desmos Math!

Tutoring impacts

Amplify Tutoring works for students who need it most! In one large study of Amplify Tutoring in action, 70 percent of students who scored below benchmark and participated regularly in Amplify Tutoring made above-average growth. Tutored students were 22 percentage points more likely to make outsized growth than peers with a similar profile who did not receive high-impact tutoring at their school.

By providing targeted support tailored to individual needs, Amplify Tutoring enables students to receive the assistance they need and deserve.

See how Amplify Tutoring accelerates learning.

Looking for help or more information?

Visit amplify.com/tutoring to learn more about Amplify Tutoring.

For additional support, please contact your student’s teacher.

Thank you for everything you do to support your student’s learning!

Welcome, reviewers!

Thank you for taking the time to review Amplify ELA for grades 6–8. With Amplify ELA, we enable teachers to foster skills through texts and develop their students’ ability to build meaning through reading. Students dive into complex texts to make observations, grapple with interesting ideas, and find relevance for themselves.

Amplify ELA offers middle school teachers rich texts, opportunities to form better connections with their students through powerful differentiation and assessment tools, and step-by-step instructional guides and resources that save them time and simplify their days.

Illustration of a woman with long hair and earrings, eyes closed in a serene pose, surrounded by plants and butterflies.

Overview

This site will allow you to experience our blended program, with access to the Amplify ELA print materials, digital curriculum, and resources to support your review. Our blended model enables teachers to design instruction based on their classroom needs and resources. Our engaging print edition highlights the many digital experiences teachers can share with students through classroom projections. Teachers can make choices about when their students use devices while providing 100-percent standards coverage and without compromising learning.

Amplify ELA’s embedded, easy-to-find features include:

  • Full standards coverage. Standards are clearly labeled in each lesson overview, so teachers can save time planning and get back to what they love—teaching.
  • Six levels of differentiation. Based on each student’s needs and the performance measures within Amplify ELA reports, a teacher can choose the differentiation level that’s right for everyone.
  • Assessments. Teachers benefit from uninterrupted instructional time and a continuously updated picture of each student’s progress with key skills and standards.
  • Powerful feedback tools. Comprehensive tools help teachers maximize both the quantity and quality of feedback.
  • Robust reporting. Our reporting app offers information on student progress to help inform instructional decisions.

Digital program

The content and instruction in Amplify ELA’s digital program mirror the content provided in the print Teacher Edition and Student Edition, though the digital program offers more opportunity to engage students through the use of multimedia and a variety of learning apps. Teachers will find embedded apps to help with scoring, providing student feedback, and reporting on the digital platform, accessible whether students or working with devices or in print.

Visit learning.amplify.com/ela-trial to review Amplify ELA’s digital program.

Grade 6 print samples

Three stacked educational book covers titled "Amplify ELA: Mysteries & Investigations" with illustrations of detective-themed elements and characters.

6B: Mysteries & Investigations:

Educational material cover for "the titanic collection" featuring a collage of the titanic, an iceberg, a ship's captain, and various themed illustrations.

6F: The Titanic Collection

Grade 7 print samples

Grade 8 print samples

Collage of illustrations featuring a mix of science fiction and historical figures, including a central image of a man with pointed ears and high hair. text labels include "amplify ela" and "science & science fiction".

8C: Science & Science Fiction

Collage of illustrations depicting various aspects of the space race, including an astronaut, a rocket in space, and mission control personnel.

8F: The Space Race Collection

Resources

Welcome, K–5 EdReports reviewers!

Authored by UC Berkeley’s Lawrence Hall of Science, Amplify Science was designed from the ground up for the Next Generation Science Standards to teach students to think, read, write, and argue like real scientists and engineers. The program invites students to take on the roles of scientists and engineers every day.

On this site, you will find easy-to-follow instructions and resources to support your review.

Four images: Two girls using a laptop, a Rube Goldberg machine, a gecko catching a bug at night, and two girls conducting a science experiment with liquids.

Program structure

Amplify Science is a blended curriculum for grades K–8 that meets 100 percent of the Next Generation Science Standards. A rich blend of physical materials and digital learning tools, the multimodal program includes: detailed lesson plans, hands-on activities, scientific texts, robust simulations, engaging media, physical and digital models, formative assessments, and a variety of embedded teacher supports and professional development options.

Learn more about the course structure, unit types, and multimodal approach to instruction before reviewing the program:

Program access

The first time you access the curriculum you’ll be taken on a short guided tour of the digital Teacher’s Guide. If you’d like to watch a program expert navigate the digital Teacher’s Guide, click here.

Click below for a full standards alignment:

Need help? Email scihelp@amplify.com or use the chat function inside the digital Teacher’s Guide.

Frequently asked questions

The following FAQ contains the answers to some of the most common questions that we receive from pilot teachers like you.

Still have questions? Your dedicated pilot support coordinator would be happy to help. His or her contact information can be found in the pilot support brochure you received during your pilot implementation training. If you prefer, request that your pilot support coordinator gets in touch with you by completing this form.

A teacher discusses educational content in front of a whiteboard while students in the classroom raise their hands eagerly.

Program questions

It’s true. Our teacher’s guide does not look like the typical guide that comes with a traditional textbook. Here’s why: we aren’t a traditional textbook program. Rather, we’re a next generation curriculum designed to support a shift to a whole new way of teaching science.

With this shift, your district will be faced with supporting a wide-variety of needs from a wide-variety of teachers. For that reason, the resources required to successfully implement a new program will vary considerably from teacher to teacher. That’s precisely why our Teacher’s Reference Guide is chock full of so many rich and varied resources. From scientific background knowledge to suggested teacher talk, standards maps to materials lists, and lesson preparation notes and classroom management tips to strategies for differentiating instruction, this guide is truly meant to serve as an instructional reference.

For everyday instructional use, we recommend that busy classroom teachers use Classroom Slides, which are now available for most K–5 units and will be coming soon for grades 6–8.

Also known as our hands-free TG, Classroom Slides are a brand-new teaching resource that makes delivering daily instruction easy and fun. With a fully customizable PPT available for every lesson of the program, teachers can put down the Teacher’s Guide and focus on what matters most—their students.

Classroom Slides are:

  • Available offline, which means no more sweating unreliable internet connections.
  • Streamlined for easy lesson delivery, including lesson visuals, activity instructions and transitions, animations, investigation setup videos, technology support, and more.
  • Fully editable, allowing teachers to incorporate their own flavor, flair, and favorite resources.

Our development team is working as quickly as possible to make Classroom Slides available to all teachers. That said, at this time they are only available for the first and second units of each grade K–5, with the remaining units being released over the next few months. Due to the popularity of Classroom Slides at the elementary level, development for grades 6–8 is now underway, with all units scheduled for completion by the 2020-2021 school year.

Not to worry. Amplify Science California was developed with plenty of wiggle room built right into the program. This means that you can relax knowing that there’s ample time to get it all done.
 
Most curricula provide 180 days of lessons despite knowing that the typical classroom can’t possibly complete everything in a given school year. Rather than asking you to wade through unnecessary content, we designed a program that addresses 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5, and 146 days at grades 6–8.

While we took great care in ensuring cohesiveness across units and grade levels, we also know that the ability level of your students changes from year to year. As a result, you need a program that provides adaptable and flexible pacing, and that empowers you to make instructional decisions in the moment.

As you evaluate how well Amplify Science California can accommodate your pacing needs, consider the following:

Progress Builds: Our Progress Builds describe the way in which students’ understanding of the central phenomenon should develop and deepen over the course of a unit. Each Progress Build defines several levels of understanding, with each level integrating and building upon the knowledge and skills from lower levels. Because these Progress Builds are directly tied to the program’s system of assessments, teachers are armed with the data they need to make informed decisions about when to move on, when to slow down, and when to revisit a concept and dive deeper.

A chart titled Animal and Plant Defenses Progress Build outlines three levels of understanding about survival strategies in animals and plants.

Multiple at-bats: Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons”. This intentional cyclical and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program. 

Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Extension activities: When some students are ready to move on and others are not, our unit extension activities can be a big help. Found in the Lesson Brief section of both the digital and printed Teacher’s Guide, these activities ensure that advanced learners remain engaged and challenged while teachers help the rest of the class build the foundational knowledge they need to be successful later in the unit.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning. 

Just as scientists gather evidence from many types of sources, so do students in the Amplify Science California program. Like scientists, students gather evidence from physical models, digital models, texts, videos, photographs, maps, and data sets. By doing so, we provide students more opportunities than any other program to practice using all of the practices called out in the California NGSS Framework.

NGSS 8 Science Practices

  1. Asking questions
  2. Developing and using models
  3. Planning and carrying out investigations
  4. Analyzing and interpreting data
  5. Using mathematics and computational thinking
  6. Constructing explanations
  7. Engaging in arguments from evidence
  8. Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K–5
In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6–8
Each 6–8 grade features three types of units: LaunchCore, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who wish to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

As a blended curriculum, districts who adopt Amplify Science California are outfitted with a variety of print and digital resources as well as hands-on materials kits. To explore the specific components of the program, visit our What’s Included page.

As our customers will tell you, when you adopt Amplify Science California, you aren’t just buying a science curriculum, you’re joining a family. As such, along with materials, your adoption of Amplify Science California also includes care and support through a variety of staff and resources, including: customer support specialists, pedagogical support specialist, implementation specialists, professional learning specialists, educational partnership managers, and more.

Technical questions

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of your digital curriculum products please see Amplify’s customer requirements page.

Absolutely! While 1:1 scenarios are great, they aren’t required. That’s because all Amplify Science California lessons were designed with device sharing in mind, and never assume that every student has a separate device. 

When the use of practice apps is called for in a lesson, you have several options:

  • If internet access is unavailable—“Preload” the digital tool on your device or devices for use offline.
  • If limited student devices are available—Have students do the activities in pairs or small groups.
  • If no student devices are available—Project the digital tool to the class and either “drive” the digital tool yourself or invite students to “drive” by using your device.

learning.amplify.com gives you access to the digital Teacher’s Guide and also gives your students (grades 68) access to the digital student experience.

apps.learning.amplify.com/elementary gives your students (grades 25) access to any practice apps referenced in the instruction. The teacher will either need to log in using their credentials, or have student accounts set up.

Tech headaches are never fun. However, implementing the following tips can help you keep the tech gremlins away.

  • Display the student URLs near the classroom display materials.
  • Before you start a unit, download all unit and lesson resources using the Offline Guide found in the Unit Guide of your digital Teacher’s Guide. In the event that connectivity issues strike, you will still be able to conduct your lessons without interruption.
  • Use Chrome or Safari if possible as these are our preferred browsers.
  • Disable pop-up blockers on all devices being used to support lessons.
  • Be prepared for some webpages to open in a new tab and for PDF files to download automatically.
  • Check and test your connections to any projection devices that you might be using throughout the lesson.
  • Display the student URLs near the classroom display materials.

What does problem-based math learning unlock for students? Part 1

Webinar series recap, part 1 of 3

Problem-based math learning helps teachers set the stage for memorable learning experiences and transfer the responsibility for the learning to students, which has been shown to help develop students’ problem-solving and math reasoning skills.

Our webinar series explores how this type of instruction engages all students in grade-level math every day, and how instructors can go about implementing problem-based learning in the classroom. In part 1 of the webinar series, award-winning teacher Kristin Gray asks—and answers—the question: What does problem-based learning unlock for students?

Experience and explanation form a learning cycle

Imagine you’ve just gotten a new piece of technology: a phone, a TV, a computer. How do you learn to use it? Do you read the entire user guide first? Jump in and never touch the guide? Or turn it on and try some things, referencing the guide as needed? 

If the last option sounds like you, that’s very common—and it’s an example of learning through problem-solving. 

“It’s something we naturally do,” says Gray.  “We’ve had a phone before so we would pick up this new phone and try doing things that we know worked on our last phone, and then we would experiment: Does it work the same on this phone? This bouncing between experience and explanation is really the foundation of how we learn through problem-solving.”

What learning through problem-solving looks like in the math classroom

If we think of instructional methods in the math classroom along a spectrum, on one end we might have a classroom where students are left to solve a problem and discover the relevant math on their own. On the other end, the instructional method might be to show students how to get the answer and then practice doing similar problems. 

The methods at both extremes are challenging, and it’s hard for instructors to go from one to the other, says Gray. “We need to install a soft landing space in the middle of these extremes—and we can think of that space as learning through problem-solving, or problem-based learning.” 

What does that look like in the math classroom? 

Students will tackle interesting problems, raise questions about the math required, receive an explanation, and apply it back to the problem—as with the example of learning new technology. 

“When we show students how to get the answer, we send the message that math is solely about answer-getting and learning processes. Answers are important, but we want to use problems to teach the math, not just teach students to get the answer,” says Gray. 

Practice is also key, she adds: “This place in the middle pulls the best from both extremes and puts them into a structure that supports teachers in teaching and students in learning.”

Why students should learn through problem-solving

Learning through problem-solving has the potential to engage all learners in math, says Gray. It influences the way teachers and students think of themselves as mathematicians and what it means to know and do math. 

In the 2000 NAEP survey, 70 percent of fourth and eighth graders reported that they enjoy activities that challenge their thinking, and enjoy thinking about problems in new ways. 

“Students are already naturally curious and like solving challenges and trying things in new ways, so that’s a great start,” says Gray. 

“No matter how kindly, clearly, patiently, or slowly teachers explain, they cannot make students understand,” says Gray. “Understanding takes place in the student’s mind as they connect new information with previously developed ideas. Teachers can help, but understanding is a by-product of solving problems.” 

Add understanding is motivating. It inspires perseverance and confidence. It supports making connections, not learning concepts in isolation. 

When students are given a new problem and are able to use prior knowledge to help solve it, that “promotes the development of autonomous learners,” says Gray. 

How Amplify Math supports problem-based learning

Amplify Math supports teachers in the planning and delivery of problem-based lessons. It also enables teachers to monitor student progress and differentiate instruction based on real-time data. 

Lessons start with warm-ups that tap into prior knowledge and move into problems that require collaboration to solve. Teachers monitor, engage, and ultimately synthesize student work into the main idea. There are also ample opportunities for practice and reflection. 

Learn more about Amplify Desmos Math.

Register to watch the rest of the series here

Visit Gray’s site, Math Minds, here.

How teachers can address math anxiety

How teachers can address math anxiety

No one is born knowing the quadratic formula, or how to measure a triangle—math needs to be taught.

Likewise, no one is born a “math person”—or not a math person. And no one is born with math anxiety.

“Children don’t come with math anxiety,” says Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop and a guest on Math Teacher Lounge. “Math anxiety is learned.” That’s actually good news because it means math anxiety can be unlearned, too. We can teach students (and even teachers) how to overcome it. In this post, we’ll cover some helpful learning strategies, teacher tips, and supports for caregivers.

Anxiety in—and beyond—the math classroom

First, let’s review what math anxiety is and is not.

Math anxiety is more than just finding math challenging, or feeling like you’re not a math person. Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University, defines it as “a fear or apprehension in situations that might involve math or situations that you perceive as involving math. Anything from tests to homework to paying a tip at a restaurant.” Here’s what else we know:

  • Causes: Math anxiety is not correlated with high or low skill or performance. For students who’ve been pressured to excel, math anxiety comes with the fear of not meeting expectations. For students who historically haven’t done well in math, the anxiety comes with the assumption they’ll do poorly every time. Other triggers include a mismatch between learning and teaching styles that can lead to struggle, or false cultural messages like “girls aren’t good at math.”
  • Consequences: People who suffer from math anxiety may deliberately avoid math, the consequences of which are obvious and far-reaching: not learning math at all, thus limiting academic success, career options, and even social experiences and connections. (This webinar mentions real-life—and relatable—examples of adults affected by math anxiety.)
  • Prevalence: Math anxiety affects at least 20 percent of students, and parents and teachers can suffer from math anxiety, too. In fact, some research suggests that when teachers have math anxiety, it’s more likely that some of their students will as well. Luckily, those teachers and parents can also play a key role in helping students (and maybe even themselves) get more comfortable with math.

Addressing math anxiety in the classroom

Math anxiety can arise from the contexts and cultures in which students encounter math, so it makes sense that we can also create conditions that can help reduce it—and even prevent it from taking hold. Here are some key strategies for helping even the most math-anxious students thrive:

  • Invite explicit conversation about math anxiety. In this webinarMath Teacher Lounge podcast co-host Bethany Lockhart Jones recommends having open and direct conversations with all students about how doing math makes them feel. “The more you know about your students’ ‘math stories,’ the more you can help them,” she says.
  • Build a positive, supportive, and collaborative math community where different learning styles and incorrect answers—often fuel for math anxiety—are considered part of the learning process. Embracing and working from wrong answers encourages students to focus on the “how” of math. Students feel more comfortable asking questions, taking risks, and making mistakes (as well as learning from them).

How do you build a supportive environment in your math classroom?

  • Cultivate a growth mindset. Create a culture where mistakes are not just acceptable, but inevitable—even welcomed. Encourage perseverance and persistence. Emphasize that being challenged by a math concept doesn’t mean a student is inherently bad at math or just can’t do it.  It means only that they can’t do it yet.
  • Encourage collaboration. Promote a culture of cooperation and teamwork by incorporating group activities, peer support, and class discussions into your lessons.
  • Play. Game-ifying problems and introducing friendly competition builds camaraderie and helps students find shared joy in math—a win-win!
  • Give students plenty of time. Alleviating the pressure of time constraints allows students to think more deeply, take brain breaks, make fewer rushed errors, and develop a sense of control and confidence. Here are some ways to build time into your math lessons:
    • Allow students ample time to think when you ask them questions.
    • Allow students to work on assignments in class with support and take them home to finish if they need more time.
    • Consider giving tests and quizzes in two parts and allowing students to complete them over multiple days.
  • Create a culture of revisions. Allowing students to revise homework assignments and tests/quizzes for partial credit will remind them that learning math is a process, not a mandate to get everything right the first time. This will help them deepen their understanding by learning from and correcting their errors—and remind them that mistakes are part of growth.
  • Use intentional language. The phrase “This is easy” might sound encouraging, but anxious students may hear it as “You should be able to do this.” Instead, use supportive, objective language such as “This problem is similar to when we…” or “Try using this strategy.”

Addressing math anxiety at home

Caregivers may be accustomed to reading to students at home, but sitting together and doing math? Probably less so. Some caregivers may even inadvertently perpetuate math anxiety—or the ideas that feed it—by repeating some of the associated stereotypes and misconceptions. (“Sorry, kiddo, grandpa’s not a math person.”)

Teachers can address this by sending materials home to support caregivers in engaging kids in math. Math games, for example, offer a fun, accessible opportunity for home practice—and they can even be played at bedtime, along with story time.

In general, teachers can also encourage caregivers to:

  • Use and point out their use of math in the real world wherever possible.
  • Help with math homework as much as possible.
  • Use intentional, positive phrasing about math—including about their own use of it.

Teachers have the ability to reduce math anxiety and help students unlearn the stereotypes associated with it by building a positive math ecosystem. They can build a positive community in their math classroom, set caregivers up for success in supporting students at home, and even shine a light on their own relationship to math.

To learn more, tune in to Season 5 of Math Teacher Lounge, dive into our math webinars, and read the rest of our math blog.

Welcome, Idaho K-8 Science Reviewers!

Thank you for taking the time to review Amplify Science. On this site, you’ll find all the resources you need to learn more about this engaging and robust NGSS program. Below, you will also have the opportunity experience our program firsthand with a demo account to access the digital platform.

Amplify Science for grades K–8 has been rated all-green by EdReports. Read the review on EdReports.

Collage of educational settings: top left, two young girls using laptop in library; bottom right, middle school science project display on tablet; bottom left, two boys with tablet discussing.

Overview

With Amplify Science, students don’t just passively learn about science concepts. Instead, they take on the roles of scientists and engineers to actively investigate and make sense of real-world phenomena. They do this through a blend of cohesive and compelling storylines, hands-on investigations, collaborative discussions, literacy-rich activities, and interactive digital tools.

Listen to these educators share how the program empowers students to think, read, write, and argue like real scientists and engineers every day.

Grades K–5

Grades 6–8

Amplify Science Grades K-5 Tour for Idaho Educators

Amplify Science Grades 6-8 Tour for Idaho Evaluators

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon. It’s this proven program structure and lesson design that enables Amplify Science to teach less, but achieve more.

Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the NGSS and Idaho Standards in fewer days than other programs:

  • In just 120 lessons at grades 6–8
  • In just 66 lessons at grades K–2
  • In just 88 lessons at grades 3–5
A four-step process diagram with icons: spark a real-world problem, explore sources, explain and elaborate, and evaluate claims, all linking to engage with cohesive storylines.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

A laptop and two screens display educational content about ecosystems, featuring illustrated plants, animals, and experiments with colorful liquids.
Two young students sit at a classroom table, one holding up a clear cup of water while the other observes closely. Papers and pencils are spread out on the table.

Investigation units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Two children play an educational board game at a table with worksheets, plastic cubes, and small containers of colored items.

Modeling units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Two children sitting at a table with laptops are talking to each other in a classroom setting, with books and baskets in the background.

Engineering Design units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Several open textbooks and notebooks are spread out on a table as a person writes in one of the notebooks with a pencil.

Argumentation units

Argumentation units are introduced at grade 3 and provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

A person points to a photo in a textbook about coral reefs, with a laptop and notebook open on the desk.

Launch units

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Three students at a classroom table examine a sealed plastic bag with food inside, while one looks surprised; another student stands in the background.

Core units

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Four students sit at a table using laptops, focused on their screens in a classroom setting with one student in the background.

Engineering Internship units

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Idaho Science Standards Alignment

Amplify Science was built from the ground up to fully embrace the instructional shifts outlined in A Framework for K-12 Science Education (2012), the same framework on which Idaho Science Content Standards were founded. Most grade levels’ respective set of Amplify Science units therefore fully address the necessary Idaho Science Content Standards (see correlation). Grade 1 teachers should plan to also use the companion mini-lesson provided below to achieve full standards coverage for their grade.

Grade 1 Companion

Standard: 1-LS-1.3 Use classification supported by evidence to differentiate between living and non-living things.

Recommended placement: Following Lesson 1.1 of the Animal and Plant Defenses unit.

Resources: Classroom Slides

Science (K-2) Evaluation Form

Science (3-5) Evaluation Form

Science (Middle School Physical Science) Evaluation Form

Science (Middle School Life Science) Evaluation Form

Science Evaluation Form Middle School Earth and Space Science

A boy sits on the floor reading a book to a girl beside him in a classroom setting.
A butterfly flies above potted plants next to a watering can and a caterpillar on a milkweed plant under sunlight in a grassy field.

Needs of Plants and Animals

Domains: Life Science, Earth and Space Science, Engineering Design

Unit type: Investigation

Student role: Scientists

Phenomenon: There are no monarch caterpillars in the Mariposa Grove community garden since vegetables were planted.  

A hand pulls a white string attached to a pegboard with rubber bands and a white ball hanging from the center.

Pushes and Pulls

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Pinball engineers

Phenomenon: Pinball machines allow people to control the direction and strength of forces on a ball.  

Silhouette of a playground structure and toy train against a blue sky with clouds and two large yellow suns.

Sunlight and Weather

Domains: Earth and Space Science, Life Science, Engineering Design

Unit type: Modeling

Student role: Weather scientists

Phenomenon: Students at Carver Elementary School are too cold during morning recess, while students at Woodland Elementary School are too hot during afternoon recess.  

Illustration of sea turtles swimming among underwater plants, with a shark and another turtle visible in the background.

Animal and Plant Defenses

Domain: Life Science

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Spruce the Sea Turtle lives in an aquarium and will soon be released back into the ocean, where she will survive despite ocean predators.  

A hand holds a flashlight and shines it through a transparent sheet with an image, projecting the image onto a wall in a dark room.

Light and Sound

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Light and sound engineers

Phenomenon: A puppet show company uses light and sound to depict realistic scenes in puppet shows.  

A split illustration shows a cityscape at night with a crescent moon and stars on the left, and a cityscape during the day with the sun, clouds, and an airplane on the right.

Spinning Earth

Domain: Earth and Space Science

Unit type: Investigation

Student role: Sky scientists

Phenomenon: The sky looks different to Sai and his grandma when they talk on the phone.  

A grey elephant uses its trunk to pick apples from a tree, with a few apples still hanging on the branches and a small sprout growing nearby.

Plant and Animal Relationships

Domains: Life Science, Engineering Design

Unit type: Investigation

Student role: Plant scientists

Phenomenon: No new chalta trees are growing in the fictional Bengal Tiger Reserve in India.  

A hand picks up a red bean from a table scattered with more red beans, spilled white liquid, a cup, and a wooden stick.

Properties of Materials

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Glue engineers

Phenomenon: Different glue recipes result in glues that have different properties.  

A building labeled "Recreation Center" stands near a cliff edge with a blue flag, surrounded by trees and overlooking a beach and water.

Changing Landforms

Domain: Earth and Space Science

Unit type: Modeling

Student role: Geologists

Phenomenon: The cliff that Oceanside Recreation Center is situated on appears to be receding over time.  

Illustration of a high-speed train traveling on an elevated track with a green landscape and blue sky in the background.

Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

A group of wolves stands in the foreground, with a bear, elk, and several birds visible in a grassy, hilly landscape with scattered trees.

Inheritance and Traits

strong>Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

A small bird stands on soil, looking closely at a yellow snail, with green blades of grass on the left and a blue sky background.

Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

An orangutan hangs from a vine in a dense green forest with the sun visible in the background.

Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Illustration of city buildings at night with illuminated windows, a full moon, visible stars, and a silhouetted figure in one window.

Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

A streetlamp illuminates a cricket, which is watched by a gecko. Yellow arrows indicate the flow of light from the lamp to the cricket and then to the gecko’s eye.

Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Two dolphins swimming underwater, facing each other against a blue background.

Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Earth orbits the Sun in space, with dotted blue lines showing the orbital path and a white arrow indicating Earth's rotation direction.

Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Illustration of layered red and brown rocky cliffs beside a flowing blue river under a partly cloudy sky.

Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Red blood cells scattered across a dynamic, abstract red and white background.

Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Illustration of wind carrying airborne particles over a coastal hill, with arrows indicating the movement up and over the hill toward the sea.

The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not. 

Illustration of a cheetah standing near plants, looking at a sloth hanging from a tree branch, with various foliage and mushrooms in the scene.

Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

A rover stands on a rocky, reddish terrain with visible tire tracks leading to it; distant hills are seen under a hazy sky.

Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.  

Illustration of a city skyline at night with a large full moon, a few stars in the sky, and a bridge on the left side.

Earth, Moon, and Sun

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.  

Illustration of a person wearing a red hat and winter coat with fur hood, eyes closed and arms crossed, surrounded by large orange circles.

Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school.  

Abstract digital artwork featuring a large yellow sun with blue and orange rays over a colorful landscape with green hills and red horizon.

Ocean, Atmosphere, and Climate

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.  

Illustration of clouds above a small town with fields and mountains, showing wind patterns and atmospheric movement in the sky.

Weather Patterns

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.  

An underwater scene with a large whale, several turtles, jellyfish, and fish swimming surrounded by shafts of light.

Populations and Resources

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased.  

Low-poly illustration of a forest with trees, mushrooms, a rabbit, and a fox catching another animal under a blue sky with mountains and the sun in the background.

Matter and Energy in Ecosystems

Domains: Life Science, Earth and Space Science, Physical Science

Unit type: Core

Student role: Ecologists

Phenomenon: The biodome ecosystem has collapsed.

Illustration of six spiders with different colored bodies and legs arranged in a chart-like formation on a dark background.

Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.  

Abstract digital artwork featuring vibrant colors, geometric shapes, a yellow human silhouette, and various patterns layered together.

Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.  

Illustration of a person receiving an oral examination with a tongue depressor and light, featuring abstract colorful shapes and an eye chart in the background.

Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time. 

A spacecraft approaches a large modular space station with blue solar panels, orbiting in outer space against a black background.

Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.

Green geometric background with a hexagonal badge displaying a parachute, ruler, letter A, stacked layers, bandage, and a folded paper icon.

Force and Motion Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents.  

Two prehistoric aquatic reptiles with long snouts swim near the shore of a tropical landscape with rocks, plants, and an island in the distance.

Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.  

Illustration of a volcanic landscape with mountains, trees, an ocean, and a cross-section showing tectonic plates beneath the surface.

Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.  

Four low-poly dinosaurs, three green and one yellow, are walking in a row on grass with rocks and red spots on their bodies under a blue sky.

Natural Selection

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.  

Two large tortoises are near a river; one is on the riverbank reaching for leaves on a tree, while the other is on the opposite bank among grass and trees.

Evolutionary History

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Two people stand atop rocky terrain littered with electronic devices; inset illustrations show a boot, a person with electronics in a vest, and a radio.

Harnessing Human Energy

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.  

An orange popsicle melting in four stages from solid to almost fully liquid, set against a plain background.

Phase Change

Domains: Physical Science, Earth and Space Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart.  

Green graphic with icons showing a swaddled baby, a thermometer, layers of blankets, a medical symbol, and a heat source within a hexagonal frame.

Phase Change Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.  

Digital illustration showing red and blue molecule-like circles on a blue background, with a boundary dividing two differently shaded sides.

Chemical Reactions

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.  

Illustration of people riding a roller coaster on a blue day, with arms raised as the car descends a tall loop against a sky with clouds.

Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.  

Illustration of the Earth with arrows representing radiation or energy entering the atmosphere from space over the Asia-Pacific region.

Light Waves

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.  

An illustrated polar bear stands on a small piece of floating ice in the ocean, with icebergs and an orange sun in the background.

Earth’s Changing Climate

Domains: Earth and Space Science, Life Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.

Hexagonal badge with icons including a wrench, building, sun, molecules, construction materials, screwdriver, paint bucket, and a letter T, all on a geometric blue background.

Earth’s Changing Climate Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.  

Access program

In addition to the grade-level sample boxes that we provided, we’ve also created custom demo accounts just for Idaho reviewers.

To access the digital portion of the program, click the link below, select “Log In with Amplify,” and then refer to the Start here digital access flyer for your personalized login credentials.

A spiral-bound teacher’s guide and a laptop displaying a digital curriculum, both titled “Balancing Forces: Investigating Floating Trains” from Amplify Science.

Resources

Welcome, Washington County!

To view this protected page, enter the password below:



Welcome, Indiana!

To view this protected page, enter the password below:



Amplify Desmos Math for San Diego

Hello San Diego math educators,

Welcome to Amplify Desmos Math! We’re confident you’ll find this to be a powerful and effective program for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in learning more about what Amplify Desmos Math has to offer. 

A laptop displays a math activity showing a dinosaur-shaped car on a grid and a tunnel with a height restriction sign and a tree.

Figuring out Problem-Based Learning

Figuring out how to implement a problem-based learning approach to mathematics can be fun and challenging. Rest assured that you will not be alone on this journey. Amplify will be by your side every step of the way.

In the short videos below, Fawn Nguyen (Amplify Math Specialist, Former Math Coach and Teacher) and John Hoogestraat (Desmos Product Specialist, Former Math Coach and Teacher) share their thoughts about the power of Amplify Desmos Math.

Promotional graphic with the text “Figure it out with Fawn and John” and photos of a smiling man and woman in circular frames.

Amplify Desmos Math: Supporting Math Practices

Amplify Desmos Math: Teacher Time-Saving Tools

Amplify Desmos Math: Capturing Student Thinking

Amplify Desmos Math: What a Classroom Looks and Sounds Like

About Amplify Desmos Math

Amplify Desmos Math, based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™, is designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day.

By joining forces with Desmos Classroom, Amplify is changing the conversation around math instruction—for both students and teachers.

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, collaborative problem-solving experiences both online and off.
  • Real-time insights that make student thinking more transparent.
amplify math middle schoolers in classroom

Program highlights

Taking the IM content further

Planning for instruction

To start using Amplify Desmos Math quickly in your classroom, check out the following onboarding videos, guide, and planning resources. They cover what you need to know to get started fast.

Onboarding videos and guides

Standards Correlation

Screenshot of an educational website's dashboard, displaying colorful banners for math 6, math 7, math 8, and algebra 1 courses under the featured collections section.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that is teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A desktop screen displaying various educational graphs and charts, including trajectory and bar graphs, with icons and text details related to Desmos math lessons.

Additional features

Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings their brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students will be taught that they themselves are mathematicians, that today’s math was largely shaped by a diverse range of mathematicians who deserve to be learned about, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning—assessments. Amplify Desmos Math will feature a robust variety of formative and summative assessments, including: readiness checks, exit tickets, quizzes, end-of-unit tests, benchmarks, and CAASPP practice.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Reporting

Not only will our reports show progress toward standards mastery, they will include detail on how students performed against the standard in the past and how many more encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Featuring Desmos Math 6–A1

Desmos Math 6–8 is based on the highly rated IM K–12™ curricula from Illustrative Mathematics. It has also earned a perfect all-green rating by EdReports.

Read the review on EdReports.

Unlike other IM-based lessons, ours require less prep and are easier to teach. Plus, our more visually rich activities and engaging on-ramps to learning make our lessons accessible to all students.

Digital educational slide adhering to the core curriculum, showcasing a fishbowl on a table, clock on the wall at 8:00, and window with curtains, next to a math problem about

Desmos Classroom digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve joined forces with Desmos Classroom to bring this vision to life with a complete library of interactive, collaborative lessons.

Screenshot of an educational module titled "Balloon Float" on Desmos Classroom. It focuses on proportional relationships with tables and lists goals related to quantities, patterns, and numerical relationships.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real-time allows students to see that communicating their ideas and learning from each other are important parts of math class.

A screenshot of an educational software showing a turtle race. Users write equations for four turtles to determine their speed. Lane 4 is empty, waiting for an equation to be written. Graph and table included.


Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With our collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

Laptop screen displaying an illustrative mathematics pattern on a grid in a graphics editing software interface, with annotations and tool icons visible.

Ready-to-teach lessons

Each grade-level includes 150 ready-to-teach lessons complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can also control what slides students see, giving teachers the ability to control the pace of the lesson to suite the needs of the class.

A screenshot displays a Pizza Maker educational tool. Four pizzas are shown, and a question about oven temperature for multiple pizzas is posed. Various student responses are visible below.


Looking for help?

Our chat agents are standing by to assist you!
Simply log in at learning.amplify.com and click the orange button in the bottom right corner to chat live with our support team.

Important to Note
Our support hours are Monday through Friday, 4 a.m. to 4 p.m. PT.

Don’t have a login yet?
Email us: help@amplify.com
Call us: +1 (800) 823-1969

A laptop screen displays a curriculum dashboard with a list of core units and colorful thumbnails for a sixth-grade ELA program.

State-approved | Grades 6–8 and Algebra 1

Amplify Math for Oregon

Dear Oregon math educators,

We’re honored that you’re reviewing Amplify Math for use with your middle school students.

We’re confident you’ll find this Oregon-approved program to be a powerful tool for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in your review, including demo account access. We look forward to meeting you and showing you what makes this program so unique.

Kristen Rockstroh
Oregon Account Executive

A miniature model of a yellow bus with a

Virtual Caravan Stop

Amplify Math isn’t your traditional core math program. It’s different to make a difference—and the results are simply undeniable. Watch our virtual caravan presentations to the right and learn about the research-based approaches built right into this high-quality solution. Plus, see how Amplify Math brings student-centered learning to life for students in grades 6–8.

What it is

Amplify Math is a brand-new program based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™️.

It’s designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. To that end, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.
amplify math middle schoolers in classroom

How it works

Amplify Math delivers the instructional power of student-centered learning packaged in a lesson format that is easy and manageable. With easy-to-follow instructional supports, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with our digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A laptop displays geometric shapes in a teaching demo. Nearby, a separate document with text and diagrams is visible.

Featuring Desmos and more

Laptop screen displaying an educational graphic about "relationships of angles" on the Mathematics Curriculum platform named Amplify Math by Desmos.

Desmos digital lessons

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With Amplify Math’s collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen shows a student response interface, displaying a comment explaining why a square is a type of rectangle.

Engaging student experience

Power-ups provide just-in-time support to help student strengthen pre-requisite skills before engaging in whole-class activities. Power-ups ensure all students have a chance to experience success in the day’s lesson even if they might be several years behind. Not teaching online? They’re available in the Teacher Edition, too.

A laptop screen displays a grid of class members' names with checkmarks and X symbols, indicating progress or completion status in an online learning platform.

Ready-to-teach lesson slides

Every lesson of Amplify Math includes ready-to-teach lesson slides complete with step-by-step teaching notes, suggested student and teacher responses, options for differentiating instruction, links to useful resources, and tips for supporting students through common trouble-spots. Teacher can also customize their lesson slides, adding their own flavor, flair, and favorite problems—enabling them to truly make the lesson their own.

A laptop screen displays an educational interface with a colorful geometric shape, shape options to choose from, and instructional text on the right side.

Presentation sync and student pacing

Being able to control what slides students see and when gives teachers the ability to control the pace of the lesson to suite the needs of the class. When Presentation Sync is turned on, students can access all the slides in the lesson. When it’s off, it ensures students’ screens follow the teacher’s. Teachers can also set a range of slides, which allows students to work at their own pace within the unlocked slides only.

A laptop displays an educational interface with a decimal lesson, pop-up notification, and navigation bar showing multiple open slides at the bottom.

Access demo

Ready to explore the program? Follow these simple instructions to access our program digitally.

  • Watch the video to the right or use this document to learn how to navigate our print and digital components.
  • Click the Access demo button.
  • Select Log in with Amplify.
  • Enter this username: t.ormath@tryamplify.net
  • Enter this password: AmplifyNumber1
  • Select your grade level.
  • Explore any of the six units.

Contact us

Support is always within reach. Our team is dedicated to supporting districts across Oregon and can be reached at any time by emailing HelloOregon@amplify.com or by calling us directly.

Kristen Rockstroh, M.Ed.

Account Executive

Districts under 4,700 students

(480) 639-8367

krockstroh@amplify.com

Fawn Nguyen

Math Specialist

(805) 328-1115

fnguyen@amplify.com

Lynne Kraus

Educational Consultant

(503) 989-3533

lkraus@amplify.com

A woman with shoulder-length brown hair smiles in front of a tree, wearing a white top.

Gregg Ritchie

STEM Specialist

(503) 312-7013

gritchie@amplify.com

Cassondra Kauppi

STEM Specialist

(503) 310-8798

ckauppi@amplify.com

Become an Amplify Tutor

Be the change in a student’s learning journey.

As an Amplify Tutor, you’ll facilitate a research-based curriculum for small groups of students to ensure they close academic gaps and build confidence.

A child wearing headphones raises their hand while attending an online class on a laptop, engaging with resources from the amplify curriculum.

What is Amplify Tutoring?

Amplify Tutoring is a full-service, high-impact virtual tutoring program that reaches students across the country. It ensures students receive high-quality live tutoring for a minimum of 30 minutes a day, 3 times per week.

A student wearing headphones attends a Virtual Tutoring Program for U.S. Tutors, watching a teacher point at a green bulletin board on a laptop screen.

Why be an Amplify Tutor?

As an Amplify Tutor, you will deliver our research-backed and evidenced-based intervention programs, virtually to a small group of students in 30 minute sessions, three times per week.

Flexibility: You will choose your desired number of hours and schedule that works best with your lifestyle.  Your schedule will then be matched with available tutoring groups within your selected regions.  

Support: Amplify will provide training to support your growth and impact.  Amplify tutors report a 40 percent increase in confidence after engaging in Amplify’s tutor training course.  You will also receive personalized coaching and support. 

Student Impact: Amplify Tutoring works for students who need it most: students who scored below benchmark, and participated regularly in Amplify Tutoring, made above-average growth. Tutored students were more likely to make outsized growth compared to peers with a similar risk profile who did not receive tutoring at their school.

Compensation: Amplify pays you for the time you spend planning for your groups as well as delivering tutoring to your groups. Amplify also provides paid initial training and ongoing professional development.

What Actual Tutors Have to Say

A woman sits at a desk in an office, smiling at a computer monitor with her laptop open, participating in a Virtual Tutoring Program for U.S. Tutors. Other people are visible working in the background.

Justine K

“And that’s a wrap on my first semester with Amplify! I find so much joy and fulfillment in working with these young learners. I am so proud of the growth each one has made. How I will miss these students but am so thankful for this company. The endless support, not only from leadership but from fellow tutors, is a rare find in today’s work culture. THANK YOU!”

Man wearing headphones sits at a desk, smiling and working on a laptop for a Virtual Tutoring Program for U.S. Tutors, with books and a pen holder nearby.

Adam S.

“As a tutor, I love Amplify’s science of reading approach to literacy. The reading rope incorporates language comprehension along with word recognition to develop skilled reading for students. Watching the science of reading improve students’ literacy skills has been one of the most rewarding experiences I have had in any career.”

A woman wearing headphones and a yellow hoodie sits at a desk with a notebook, pen, mug, and laptop, smiling as she participates in a Virtual Tutoring Program for U.S. Tutors during an online meeting or virtual class.

Britani H.

“Amplify Tutoring was a one of a kind experience as an educator where I was privileged to support students with their specific needs and goals. I always felt incredibly supported by all of the program managers and coaches because of their responsiveness and focused professional development throughout my journey as a tutor.”

Interested in tutoring math?

A simple bar chart with four ascending bars and an orange upward arrow indicating growth or progress, representing the impact of a Virtual Tutoring Program for U.S. Tutors.

We are thrilled to announce the continued expansion of our math tutoring program for students in grades 3 through 5! Introduced in the 2025–2026 school year, this program was designed to meet the growing need for personalized, high-quality math support during these critical foundational years.

Grounded in evidence-based practices, Amplify Desmos Math mini-lessons are aligned with the most critical topics at each grade level. Mini-lessons reinforce the same topics and content students see in core instruction to give students a double dosage. Students can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

As our program continues to grow, we are actively looking for passionate, dedicated tutors to join our team and make a lasting difference in young learners’ lives.Whether you have experience teaching multiplication, fractions, or general elementary math, we’d love to hear from you. Be part of something new, impactful, and expanding — apply to join our math tutoring team today!

S3-05: Thinking is power

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

Join us as we sit down with Melanie Trecek-King, college professor and creator of Thinking is Power, to explore how much of an asset science can truly be in developing the skills students need to navigate the real world. You’ll learn about “fooling” students and the importance of developing critical thinking, information literacy, and science literacy in the classroom. We’ll also share real strategies and lesson examples that help build these essential skills and engage students in learning.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Melanie Trecek-King (00:00):

We say knowledge is power, but it’s not enough to know things. And there’s too much to know. So being able to think and not fall for someone’s bunk is my goal for my students.

Eric Cross (00:12):

Welcome to Science Connections. I’m your host, Eric Cross. On this third season, we’ve been talking about science’s underdog status. And just this past March at the NSTA conference in Atlanta, I had the chance to speak with science educators from around the country about this very topic.

Hermia Simanu (00:28):

Right now, there’s only two teachers in our high school teaching science.

Shane Dongilli (00:32):

I have 45 minutes once a week with each class. The focus is reading and math.

Alexis Tharpe (00:38):

Oftentimes science gets put by the wayside. And you know, I love math and I love my language arts, but I also think science needs to place be placed on that high pedestal as well.

Askia Little (00:46):

In fifth grade, oh, they teach science, because that’s the only grade that it’s tested.

Eric Cross (00:50):

That was Hermia Simanu from American Samoa. Her team flew for three days to make it to the conference. You also heard from Shane Dongilli from North Carolina, Alexis Tharpe from Virginia, and Askia Little from Texas. All of these teachers were excited to be at the conference and had a lot to say about the state of science education in their local schools. Throughout this season, we’ve been trying to make the case for science, showing how science can be utilized more effectively in the classroom. We’ve explored the evidence showing that science supports literacy instruction. We’ve talked about science and the responsible use of technology like AI. My hope is that all of you listeners out there can use some of this evidence to feel empowered to make the case for science in your own communities. And on this episode, we’re going to examine how science can help develop what might be the most important skill that we try to develop in our students: Good thinking. On this episode, I’m joined by a biologist who actually advocated for eliminating the Intro to Bio course at her college. Instead, Professor Trecek-King created a new course focused on critical thinking, information literacy, and science literacy skills. In this conversation, we discuss why the science classroom is such a good environment for helping students become better thinkers. Now, I don’t think that you can make a much stronger argument for science than using it to develop the skills that Melanie describes in this conversation. So, without further ado, I’m thrilled to bring you this conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College, and creator of Thinking Is Power. Here’s Melanie.

Eric Cross (02:29):

Well, Melanie, thank you for joining us on the show. It’s so good to have you.

Melanie Trecek-King (02:34):

I am so happy to be here.

Eric Cross (02:35):

Now, I went to your session at NSTA in Chicago … I think it was two years ago. A couple years ago. And I was listening to your session, and as I was listening to you, I started Reverse Engineering in my mind what you were doing with your college students. I started reverse engineering the K–8. I was like, “This is amazing.” Where has what you’ve been doing been hiding? We need this not just in the college, higher ed. We need this all the way up and down. Because I hadn’t seen it before. So I think a good place for us to start is gonna be like the story of how and why you as a biologist wound up making the case to actually eliminate the Intro to Biology course at your college. So can you start off and tell us a little bit about that story?

Melanie Trecek-King (03:20):

Sure. So I started teaching at a community college in Massachusetts. And I absolutely love teaching at a community college. And I was teaching the courses that people who don’t wanna be scientists when they grow up have to take to fulfill their science requirement. And that course was Intro Bio. And I tried every way I could figure out to make that class be useful,] relevant to students. I mean, the thing is, our world is based on science and you have to understand science to be a good consumer of information, to make good decisions. And I’m a biologist, so it pains me to say this, but you know, somewhere in the middle of teaching students about the stages of mitosis and protein synthesis, I thought, “Is this really — like, if I have one semester that’s gonna be the last chance that someone’s gonna get a science education, is this really what they need?” And I just decided, “No.” So, to my college’s credit, they were very supportive. I went to them and said, “You know, I think we should assess the non-majors courses. Like, why do we teach non-majors science?” And we all agreed, well, it was for science literacy. OK, great. Do our existing non-majors courses do that? And so we evaluated each of the courses. I made a case that Intro Bio was not doing it. And so we actually replaced it with a course that I call Science for Life. And the whole course is designed to teach science literacy, critical thinking, and information literacy skills.

Eric Cross (04:48):

And so you did this while you were looking at mitosis. And you’re looking at students who may or may not be science majors. And then kind of asking that question. I know every educator asks this, and whether or not it’s welcomed or supported is a different question: “Is what I’m teaching actually gonna be relevant and useful later on down the road for this group of students?” And you actually got to run with it and then create this course, this new course. So, what were the skills that you were hoping to achieve with the new course you developed, and and why were those skills so important?

Melanie Trecek-King (05:21):

Well, if I just go back for a second to what you said, ’cause it, really hit me: I remember the actual moment — it had been building up to that point, but the actual moment that it hit me — I was teaching students the stages of mitosis. And I was applying it to cancer, because the thought is that if we use issues that are relevant to students to teach concepts, that it will be more meaningful to them. They’ll learn it better; they’ll be able to apply it. And they just looked absolutely deflated. They didn’t wanna be there. And I had this moment where I thought, “You know, if, if these students ever have cancer somewhere in their lives, is what I taught them going to be something that they remember? Is it going to be useful to them?” And quite frankly, like, no. <Laugh> They’re not gonna remember proto-oncogenes. And quite frankly, is that really what they need to know at that moment? What they need to know is, “What does this mean? Who is a reliable source of information here? If these treatments are recommended, what is the evidence for them? What are the cost-benefit analyses? Where do I go to find reliable information?” And in that space, cancer in particular, we have this whole field of — I wanna say charlatans, ’cause they may not actually be lying, but they’re pedaling false cures, false hopes. And people need that kind of hope, and so in their time of need, they’re more likely to fall for that kind of thing. Which leads me to the skills that I teach students. I call them this tree of skills. And the order is important. I start — and there’s a lot of overlap to be fair — but critical thinking, and then information literacy, and science literacy. The idea is that students carry in their pockets access to basically all of human’s knowledge at this moment in time. And if they needed to access it, they could. The question is, do they know what they’re looking for? Are they aware of their own biases that are leading them to certain sources, or certain false hopes? Are there certain things that are making them more vulnerable to the people that might prey on them? Are they able to use that information to make good decisions? There’s a great Carl Sagan quote, and it’s something like, “If we teach people only the findings of science, no matter how useful or even inspiring they may be, without communicating the method, then how is anyone to be able to tell the difference between science and pseudoscience?” So yes, the process of science is a process of critical thinking. However, we do tend to present science most of the time. Like, here’s what science has learned. And to be fair, those things that we’ve learned from science are really useful and inspiring. But if we don’t teach the process, so you’ve got somebody now who let’s say has been diagnosed with cancer and is on their phone and they’re scrolling through social media and everything looks the same. And of course the algorithms learn who you are. Next thing you know, there’s all of these like pseudo-treatments popping up. It all looks the same. Somebody who says that acupuncture can be used to cure cancer can feel the same, from someone who doesn’t understand the process of science, as a medical fact. And so the process is the process of critical thinking. My class everything is open note. The quizzes are open note. The exams — and I say open note, they’re also open online, because I know for the rest of their life they’re gonna have resources available to them; I want them to be good consumers with that information, which to me requires metacognition and critical thinking and information literacy and all those skills that I’m trying to teach them.

Eric Cross (08:58):

You’re basically taking what … we’ve taught science for so long. And more recently, it’s changed to more focusing on skills. At least in K through 12. But a lot of it was just memorization of a ton of different things that now we can pull up our phone, go on the internet. You can pull up a lot of those facts. But those facts don’t necessarily translate to actual real-world skills. When I listen to… I kind of make this analogy sometimes: students say … it’s funny, I have 12-year-olds that say this. They go, “How come they don’t teach us how to do our taxes?” And you know they’re regurgitating what they hear from adults, right? “Teach us real-world skills!” And I was like, really, if we taught you right now how to do your taxes, how many of you would really be like, “Oh, this is an awesome lesson! We’re really engaged!” But their point is that “I wanna learn something that I could actually use later on, that’s that I’m gonna carry on.” And in your course, you’re talking about these skills that actually can apply. Like you said, if I had cancer and I’m looking at different types of medical procedures, do I have the skills to really be able to evaluate and make informed decisions on that? And that’s, that’s not something that I’ve seen explicitly taught really anywhere. And I hadn’t heard anybody talk about it, really, until I heard your session, where you’ve kind of unpacked this, and over the last couple of years, have created some programs or resources for educators, where they can take this into their classroom. So what were some of those skills, again? What were were some of the skills that you thought, “I wanna make sure that my students can walk out and they know how to do this and apply it to maybe several different fields”?

Melanie Trecek-King (10:35):

Oh, that’s a really good question. Because the whole thing was a process for me. Like, when I finally let go of Intro Bio, I was so glad to see that class go, by the way. ‘Cause I just felt like I was beating a dead horse. So when I let go of it, I thought, “What do they need instead?” And for me, what I realized was I was trying to make the class I would’ve wanted to take. I realized the things that I personally didn’t know, that my own education maybe let me down a bit. But things that I thought were important. So then I took all of those, synthesized them, tried to figure out the best order. The class is currently in its third iteration. And I hope every iteration is an improvement. But I’m thinking about the students that I taught before the pandemic. It was Intro Bio. Up to just maybe the couple years before the pandemic, and during the pandemic, we had a new virus and we had a new vaccine and we had new treatments. There was hydroxychloroquine and there was ivermectin and then there’s masks. Are masks effective? Well, you know, in what circumstances? What kind of mask? There are all of these questions. And that whole thing was we saw science playing out in real time.

Eric Cross (11:50):

Absolutely.

Melanie Trecek-King (11:51):

And so were my students able to follow that? And then what happened in that process is that science became politicized. And in a time where things are uncertain and we need answers, ’cause it’s scary, people want certainty and science doesn’t tend to provide that. Especially when it’s just starting out. And then when it becomes politicized, people decide that they’re going to — it’s not necessarily a conscious decision — but they retreat into what people in their camps are saying or their groups are saying. Which actually leads me to one of the more important parts of information literacy skills in there, which is most of our knowledge is shared. We tend to have overinflated senses of what we individually know. And studies actually show that with Google, if you have access to Google, you think you’re smarter than if you don’t have access to Google. But we all have access to knowledge in our communities, and that’s one of the reasons humans are so successful, is that we can each specialize in different things and share our expertise and become greater than the sum of our parts. The problem with that, of course, is that we forget what we don’t know, and we assume that we know what the community knows. And so recognizing the limits of your own knowledge and how different communities produce knowledge, like the different epistemic processes that communities use to come to knowledge. When it comes down to it, an important part of knowing is knowing who to trust, right? Knowing where the source of knowledge lives. And in order to do that, you have to understand the processes that they’re using to come to that knowledge and the limits of your own knowledge. And then how to find who has that knowledge so that you can use that to make better decisions.

Eric Cross (13:38):

So, when I hear what you’re doing with your college students, and I think about what I’m doing in the classroom, in the middle school, we are really focusing on literacy as skills. Reading, writing, speaking, listening. And then when I think of the next step of the journey, your information literacy and the literacy you’re teaching is really the application of those things in the real world. And the examples that you gave are very critical examples. Evaluating claims about Covid. Making informed decisions about a medical procedure that you might need. And we all get that applied to us. We’re scrolling through social media and somehow social media is listening. It’s figuring out exactly what I’m doing, because all of a sudden the ads are telling me … how did you know I was alking about KitchenAid mixers now? I just said KitchenAid mixers and it’s gonna show up in my feed! But <laugh> I take that in the same way from the same place that I take in maybe an oncologist. So it’s it’s coming through the same channels. So now I kind of wanna pivot. So we’ve talked about what you’re doing, why you’re doing it, the connection between “am I really teaching the skills that my students need in the science class? Is it really critical thinking explicitly or is it just kind of implied?” Now I wanna ask you how you do it. What’s the annotated, abbreviated kind of syllabus of your course?

Melanie Trecek-King (15:03):

So the course is called Science for Life. And the premise behind it is the kinds of skills and understanding of the process of science that they would need to make good decisions to be empowered in a world based on science. And so the very first lecture, I say, “OK, I’m gonna tell you a story and I just want you to listen to the story. And at the end I’m gonna ask you why I told the story.” And the story that I tell them is some of the history of the witchcraft trials in Europe. And I start with the Malleus Maleficarum, or the Hammer of Witches, from the Pope, and about how people would accuse witches of causing birth defects or storms or crops dying. And, the best evidence that they had to absolutely know somebody was a witch was if somebody accused them, and then if they were accused, if they confessed. OK? But the problem is, to get them to confess, they would torture them. Roasting over coals, or splitting until somebody broke. And so I tell my students, “OK, this was absolute proof that someone was guilty of witchcraft. I don’t know about you; I would confess to anything, right? Make it stop!” So this is where I get to ask students, “Why would I ask you this? Why would I tell you this story? And traumatize you on the very first day of lecture?” And they see the reasoning, right? They thought they had evidence. The question was, is that good evidence? And so, you know, I’m getting students to have a basic understanding of epistemology, right? Without calling it that, or without going into all of the philosophical background of epistemology. Apply this to your own reasoning. What are you wrong about? Well, you probably wouldn’t know. OK, how would you know if you were wrong? Like what kinds of things do you feel that you’re so right about? How good is your evidence for that? So what I want them to do is internalize the thinking about thinking, and analyzing how they come to conclusions, and proportioning how strongly they believe. Their confidence in how right they are. So I think starting with that kind of misinformation, and getting students to internalize that process is important. But I think the example is really useful, because most of my students don’t believe in witchcraft. Right? So it’s not an issue that would immediately threaten them in some way. So when, when a belief is tied to identity or how we see ourselves or is really important to us, then it’s very difficult to be objective about that belief. And so by starting with witchcraft, it’s not triggering. I get them to think about thinking and practice that muscle so that when we get to those more important issues, they have the skills they need to evaluate them.

Eric Cross (17:55):

So would it be fair to say that your Science for Life class is really applied scientific thinking for the real world?

Melanie Trecek-King (18:01):

Absolutely. That’s the idea. I mean, science is too good to keep to ourselves, right? And it’s everywhere. So how can you understand the world through a scientific lens?

Eric Cross (18:10):

What are the nuts and bolts of how you teach your students these strategies? What do you do? What are some strategies and techniques that we can maybe share with listeners? And then where I want to go after that is I wanna ask you, how early do you think this can be started? So lemme start off first with, what do you do?

Melanie Trecek-King (18:28):

So I use three different strategies. One is, I provide students with a toolkit. And the toolkit is one that I created and it is like my one toolkit to rule them all. It is trying to apply critical thinking and science reasoning all together in one place. So that if students are met with a claim, they’ve got the toolkit with an acronym. They can now start and have somewhere to go. In that if I gave you a claim and said, “Just critically think through this claim,” I mean, that’s a mighty task. But if you have a structured toolkit, then it’s hopefully a systemic way that’s helpful. The toolkit is summarized by FLOATER. I have published it on Skeptical Inquirer. It’s free. So it’s Falsifiability, Logical, Objectivity, Alternative Explanations, Tentative Conclusions, Evidence, and Reproducibility. So I provide students with a toolkit. The next thing I do is I use a lot of misinformation in class. Back to what Carl Sagan says: What I heard was we should use pseudoscience to teach students the difference between a pseudo-scientific process and a scientific process. So, I use science denial, conspiracy theories, and give my students a lot of opportunities to practice evaluating claims with the toolkit. And the other thing I do is, I use inoculation activities. So inoculation theory is based on William McGuire’s original research in the ’60s, which is basically like a vaccine analogy. Where you can inject a small amount of a virus or bacterium into the body, so that it creates an immune response, so that it can learn the real thing. And so in the real world, it can fight it off. Inoculation theory does the same thing, but with misinformation. So, what we can do is, in controlled environments, expose students to little bits of misinformation so that they can recognize it in the real world. There’s different kinds of inoculation, but I’m a big fan of what’s called active and technique-based inoculation. So technique-based means that students are learning not the facts of misinformation, not factually why this thing is wrong, but about the technique used to deceive. So maybe the use of fake experts. Or maybe the use of anecdotes. Or the use of logical fallacies. The other part of that is active, which is where students create the misinformation. So for example, my students, just now, we finished covering pseudoscience. And I teach students the characteristics of pseudoscience. And basically we have fun with it. Where they pretend to be grifters and they sell a pseudoscience product. And so they have to make an ad like they’d see on social media, using the different techniques. And the point there is that it’s supposed to be funny, right? And lighthearted. But in a real way, by using the techniques used to sell something like pseudoscience, it’s opening their eyes. You can’t unsee how every alternative product has, “it’s an all-natural and used for centuries and millions use it and look at this person who says, ‘Wow, it worked for me!’ And it’s certified by some society that doesn’t exist, but this doctor behind it says that it’s really great!” I mean, it’s all the same stuff. So they create the misinformation using their own techniques.

Eric Cross (22:02):

That’s one of my favorite things that you’ve talked about, and I want to dive in that a little bit more. But when you’re teaching the toolkit, FLOATER, what does that look like in the classroom, when you’re actually breaking all of those things down? What does it look like as you’re walking your students through this, and you’re kind of coaching them on all of those different things? ‘Cause I feel like some things might be like, “Oh yeah, I got that.” And then some of them might be, “Oh, what is that?”

Melanie Trecek-King (22:24):

Yeah, it takes me probably a good solid lecture to get through the basis of the toolkit. But then over the rest of the semester, I’ll spend more time going into different parts, different rules, a bit more in-depth. So, for example, logical fallacies and objectivity. So the rule of objectivity basically states that you need to be honest with yourself. I’m gonna quote Feynman here, so: “The first principle is that you must not fool yourself — and you are the easiest person to fool.” We don’t tend to think that we can be fooled. But of course we can. So actually, if you wanna talk about it, I start class by fooling my students.

Eric Cross (23:03):

Wait, what do you do? What do you do for that?

Melanie Trecek-King (23:05):

Oh, so this is really fun. Day 1 of class, after the syllabus, I tell my … so you’re in my class now, Eric. “So I have a friend, and she’s a psychic. She’s an astrologer and she’s pretty good at what she does. I mean, she’s got books and she’s been on TV and stuff. She knows I teach this course about skepticism. And so she’s agreed to test how effective she is by providing personality assessments to students in class. So if you wanna participate, what I need from you is your birthday, your full name, answer a few questions. Like, if your house was on fire and you could take one thing, what would it be? Or if you could get paid for anything to do anything for a living, what would it be? Um, there’s a third one. Oh! If you could have any superpower, what would it be?” So the next class, it’s usually over a weekend. The next class I say, “OK, I’ve got your personality assessments back, but remember, we wanna test how effective she is. So in order to do that, I need you to read your profile as quietly as possible. And then I’m gonna have you rate her accuracy on a scale of 1 to 5. OK? So close your eyes; rate her.” Over the years doing this, it’s about a 4.3 to 4.5 out of 5. They think she’s pretty accurate. OK? “So now, if you feel comfortable, get with a person next to you. And I want you to talk about what parts of the personality assessment really spoke to you and, and why, and why you thought she was accurate or not.” And it takes them 5, 10 minutes before they realize they all got the same one. So, this is not my original experiment. It was first done by Bertram Forer in … I think it was the ’50s. And it’s done in psychology classrooms. James Randi made it famous. But the personality assessment itself is full of what are called Barnum statements. So, named after P.T. Barnum. These are statements that are very generic. So, “You have a need to be liked and admired by people. You are often quiet and reserved, but there are times where you can be the life of the party.”

Eric Cross (25:13):

How do you know this about me, by the way? This is a — I feel like you know me right now.

Melanie Trecek-King (25:17):

“There are times where you’ve wondered whether you’ve done the right thing.”

Eric Cross (25:19):

This is getting weird.

Melanie Trecek-King (25:21):

I’m just on fire, right? So these are Barnum statements. They’re the basis of personality assessment.

Eric Cross (25:29):

Mel, can I pause you right there? You said Barnum. Is that the same Barnum, like Barnum & Bailey Circus?

Melanie Trecek-King (25:34):

Yeah. P.T. Barnum, who didn’t actually say “There’s a sucker born every minute,” but we attribute him with that kind of ethos. These statements though, if you read a horoscope or even like personality indicators, like the MBTI, it is basically pseudo-scientific. And it ends up with lots of these Barnum statements. They produce what’s called the Barnum Effect, which is, “Wow, that’s so me! How did you know me?” I could even do more. Like, you have a box of photos in your house that need to be sorted. Or unused prescriptions. And these can apply to nearly everyone, but they produce this effect where we go, “Wow, that is so me!” Right? So by fooling them this way, I get to … well, so the next thing is, “Yes, I lied to you. And I’d like to tell you I won’t do that again. But I’m not going to, ’cause I might. So be on your guard.” But I did it for free. And why did I do it? “I did it because I could tell you ‘I could fool you,’ but you wouldn’t necessarily believe me. So I fooled you, so that you would learn what it feels like to be fooled.” It’s not fun. But we’re gonna make a joke outta this. And students are almost never upset about this ’cause it’s a fun process and they’re all fooled. And again, the point is, I didn’t disprove psychic powers. I didn’t just disprove psychics with this exercise. But I did show you how easy it was to fake. So if somebody is gonna tell you that they can know these things about you through some way, hopefully the evidence they provide should be stronger than something that’s easily faked. Right? Extraordinary claims require extraordinary evidence. If you claim to be able to read my personality based on my birthdate, then I need more than something that you can be taught to do in 15 minutes. So, I fool them to convince them that they could be fooled.

Eric Cross (27:27):

You’re giving them a practice scenario for thinking. And I was thinking about basketball. I grew up playing basketball. And my coach would have our own team be the defenders of the next team we were gonna play, so that we can be prepared for the defense. We were gonna see. Now, when I’m thinking about education, and what you just said reminded me of this, it’s like we’re often just teaching offense. We’re always teaching the plays. We’re always teaching what to do. But we rarely teach defense. What happens when someone comes towards you and, and they challenge you or they come at you with claims? How do we evaluate this? And I think in pockets we do it. We do claim-evidence-reasoning. We present claims and evidence and reasoning. But we don’t always have practice defending them. And I think there’s great resources. There’s Argumentation Toolkit and there’s all these awesome resources that do this. But does that fit? You’re kind of having them practice defense?

Melanie Trecek-King (28:26):

Yeah. You know, that’s brilliant. I never considered that analogy. But, yeah, in the real world, you don’t just get to always try to score all the time. Someone’s gonna challenge you and give you a claim that maybe you haven’t heard before. So how do you think through it?

Eric Cross (28:41):

Yeah. And you become better. So now I’m thinking about how early could we start doing this? For one, I love the idea of lying to your students, because I do that. And it’s just such a fun scenario. How early could we start implementing these strategies or these ideas or these toolkits? In your mind, what do you imagine? How early could we start this with young people?

Melanie Trecek-King (29:07):

Yeah. I’m so glad you asked that question, ’cause honestly, by the time they get to me, it’s almost too late. And I don’t wanna say it’s too late, ’cause it’s never too late. But, oh, we need to start so much earlier! That example that I gave about the selling pseudoscience argument? I have a wonderful colleague, Bertha Vasquez, who’s a middle school teacher in Miami and the director of TIES at CFI. She did this with her middle school students. And quite frankly, their examples were just as good, or in some cases better, than my college students. And they had so much fun with it, too. And she just said that, you know, <laugh>, they actually are more savvy with the kinds of things that they see online than we — I don’t wanna say give them credit for. But almost that we want to believe. My students give me examples of things that are from corners of the internet that I didn’t know existed. And quite frankly, that’s probably a good thing for my own mental health. But students are on there too, like middle school students, and we need to prepare them for the kinds of things that they see in the wild.

Eric Cross (30:13):

So in middle school, definitely. Now, you’ve also done some work in high school as well, right? In Oklahoma? Did you do some. …?

Melanie Trecek-King (30:17):

Yeah.

Eric Cross (30:18):

…some work with high schoolers? What was that like? Did you see any impact there?

Melanie Trecek-King (30:21):

So I didn’t actually do it in Oklahoma. I have taught the course … actually, you were talking about younger kids. I’ve taught the course to high schoolers in my area that are parts of dual enrollment. And they absolutely ate up the curriculum. And they were wonderful, wonderful students. And it was completely appropriate for … they were juniors, actually. But the course has also been taught in Oklahoma, through a dual enrollment program as well. And it was a small sample size. But we have pre-post testing that showed that it improved their critical thinking, their acceptance of science. But anecdotally the head of the program there said that in his years doing this, he’d never seen a course that helped them improve in their other courses so well. So, I felt very rewarded by hearing this. But apparently their critical thinking skills and information literacy skills helped them succeed in their other courses that they were taking. And I love that the students were transferring those skills to other classes. That’s the whole point.

Eric Cross (31:23):

And that’s a big … I think that what you just said is really the core, especially of what we’ve been talking about this season: What you’re talking about and what you’re teaching can transfer and supports literacy. And this is an example of science doing that across all other content areas. So I think that that’s huge, that that was said. What do people say about this course? I know I went on your website, and I looked at some of the comments that some folks were saying, and I know it’s just a snippet, but what do you hear from the education world about this? Because I don’t see it in many places. I see it kind of embedded, sprinkled into different content areas. But you’re actually teaching it explicitly. Do you tend to find positive feedback, overwhelmingly? Or do you get pushback on on some of this? What’s it been like for you?

Melanie Trecek-King (32:16):

I think the biggest pushback — and it’s good pushback, and I would agree entirely — is with inoculation activities, you do need to be careful to, when you debrief students, you wanna tell them why you did what you did and to use their powers for good and not for fooling other people. And I think importantly, for not putting misinformation out into the wild without having context around it. So if you do these kinds of inoculation activities, like if you have your students create pseudoscience ads, don’t just let them put them on social media. Obviously, you can’t control everything that they’re doing. But explain to them why you wouldn’t wanna do that. As far as everything else, I’ve heard really great feedback. You’re referencing my website. So, when I put together the course, I was trying to find resources for students to read. Textbooks are ridiculously expensive and I couldn’t find anything that I really wanted students to buy. So I just started writing, and I put it on my site. I have a site that’s basically the core of the curriculum. More in progress. And then I’ve got some of the topics that we explore and those are all assigned readings. My students are captive, in that I know they want a grade, and for four months they have to sit with me for the entire semester, in that I’ve specifically ordered the content in a way that would be most conducive to them learning these things. On the internet, though, and on social media, ’cause I post on there as well, people come in from all kinds of entry points, and so the goal would be to have them start at the beginning and go to the end. But people … I’m pleasantly surprised that there is an audience for critical thinking and science literacy content out there. And so that really warms my heart. But I am doing more and more for educators. And so I have a section for educators. I put content on there. I put assignments, the assignments that we’ve talked about and more, are on there. And the educators that I’ve had use it have just been really wonderful. Like, I hear great things. If I might, the biggest issue that I’m having is actually reaching educators. I’ve gone to — I met you at NSCA, actually, that was only last summer.

Eric Cross (34:30):

Oh, wow. Wow.

Melanie Trecek-King (34:32):

Right?

Eric Cross (34:32):

Yeah, you’re right. It wasn’t even a year.

Melanie Trecek-King (34:35):

Yeah, I think it was like July last year. So, um, you’ve been to the conferences. And I just went to the last one as well. But I have yet to figure out a way to really get in front of enough educators to share the content. So if anybody’s listening and is interested in learning more, please let me know! <Laugh>

Eric Cross (34:52):

Yes. And we talked about your website, but I didn’t say what the website was. So it’s ThinkingIsPower.com.

Melanie Trecek-King (34:57):

Yes.

Eric Cross (34:58):

And on there, there’s tons of resources. There is the toolkit. And it’s all free.

Melanie Trecek-King (35:06):

Yes.

Eric Cross (35:07):

And there’s a dope t-shirt on there that I just bought today, that Melanie’s actually wearing right now. It says, “Be curious, be skeptical, and be humble.” And I love that. Because I think one of the things that we can’t forget about teaching people how to think and critically evaluating information, sometimes those conversations can become very dehumanizing. And what I mean by that is it sometimes can become, like, intellectual sport, where we forget that there’s a human being on the other other side. And we lose that empathy and compassion. We can kind of see that. It just becomes this intellectual jousting and arguing. And one of the things I know about you, and when you talk about this or you talk about the work that you do, and even the shirt that you’re wearing, there’s this, “be humble.” There’s this human that is never lost in this. And you said it, too: When you’re teaching your students and you’re equipping them with all of these intellectual skills and all of these tools, to use it for good. So to maintain your humanity, to maintain your character, and then to use it to edify and lift people up, not to go out and do harm. That balance, I think, is so, so important. So it’s something that I really appreciate about you and how you teach.

Melanie Trecek-King (36:19):

I appreciate those kind words. Actually—

Eric Cross (36:21):

Oh, of course!

Melanie Trecek-King (36:22):

—and if I might, I sometimes see people using critical thinking like a weapon. It’s like, “I have learned fallacies and I’m just gonna use the tools of critical thinking to tell you why you’re stupid, or why you’re wrong, and why my position is right!” But real critical thinking involves applying those same standards to your own thought processes. And even something like argumentation: the goal of our argumentation is not to BE right; it’s to GET it right. And so we’re on the same team. If we’re arguing about something, if the idea is in scientific argumentation we’re trying to find the truth, which one of us is making a better argument based on the evidence? Can your perspective help me see my own blind spots and vice versa? And the more different perspectives that we have, the more able we are to find whatever reality is. But we are in this together. And so, yeah, I think … I’m glad to hear that that’s coming through. But if you don’t have the kind of humility that says, “You know, I could be wrong,” then you’re never gonna change your mind anyway. So having the humility to say, I’m wrong. <Laugh>

Eric Cross (37:33):

Yeah. You end up just seeing people just defend turf, as opposed to support “look for truth.” And I know for me, my own education journey, I end up with more questions than answers anyways. So I go in trying to find an answer for something and I end up with 10 more questions. And I go, “OK, this is kind of how it is.” You go down this rabbit hole and you just end up with all these different questions. And it forces the humility, because you’re like, “I don’t know! I think this is what it could be, but it could also be these other answers or explanations. So this is just where I’m at, based on what we know right now, at this present time, which might shift.”

Melanie Trecek-King (38:07):

And that sounds reasonable. Yes. Which might shift. Yes.

Eric Cross (38:11):

And especially for us as life-science biology teachers, our content is something that definitely shifts. I know some of the things I teach now are not things that I learned when I was even in middle school. Just because things evolve. They change. We learn, we get new data. That’s just the way it is.

Melanie Trecek-King (38:24):

<Sighs> And Pluto is no longer a planet.

Eric Cross (38:26):

I know. Rest in — well, no, Pluto’s still there. Yeah. It’s no longer a planet. But that was one part of my kindergarten memorizations <laugh> is Pluto being in there.

Melanie Trecek-King (38:36):

Gotta change your mind.

Eric Cross (38:38):

I know. Any words of advice for science educators out there who want to focus more on honing these critical thinking skills and strategies with their own students, but they don’t know where to start? Where would you point them? Or what advice would you give them?

Melanie Trecek-King (38:52):

I think start with what you want the students to know. And not necessarily the FACTS that you want students to know, but start with the skills that you want them to know. And then really be honest with your process. When I designed Science for Life, I started with, “these are the skills that I want students to know.” And everything was in service of that. So this sort of backwards design, I think, helped me follow a path that was more likely to be useful, if that makes any sense. But it really required doing it all over again. So don’t be afraid to question the things that you’re currently doing, even if that’s all you’ve been taught or all you know.

Eric Cross (39:41):

What I’m hearing is, don’t be afraid to question your own assumptions about what you’re doing. And don’t be afraid to adapt or change or modify. Kinda, pivot. Be flexible.

Melanie Trecek-King (39:51):

Yes, be flexible and pivot. And this is where I’m in a different position than middle school and high school educators. Because I have complete freedom over what I teach in my class.

Eric Cross (40:01):

Sure.

Melanie Trecek-King (40:01):

At the end of the semester, I always joke with non-majors that there’s nothing they have to know, which actually gives me a lot of flexibility, because I could teach ’em a lot of different things. So if there are things that you have to teach students, obviously that’s one thing. But I personally think that the way that we’ve been teaching science needs a refresher. A rethinking. And so I would say, “If you want your students to learn science literacy, honestly ask, what does that mean to you? And what would that look like to get to that point?” For me, though, it was also keeping in mind that maybe I didn’t already know the best way to do that.

Eric Cross (40:43):

One of the things you mentioned earlier is trying to reach out to educators. And I know that when we work together, it’s a force multiplier. And what you’re doing is developing skills. And there’s these skills that are happening right now in academia that you’re doing. And then how do we transfer that into middle and high school. Or, I’m sorry, middle and elementary school, high school. We need to get more people into this conversation to kind of brainstorm and figure that out. We have a Facebook group, Science Connections: The Community, where we have educators that gather. That can be one place we start the conversation. And again, I know on your website you’ve been super active on social media; you’ve grown your presence on Twitter and all these different places, engaging with folks. Which is awesome. ‘Cause I know I see your posts and I’m saving the things that you’re posting and I’m thinking of ways that I can do it in my classroom. I’m gonna take that product. By the way, is that on your website, the lesson that you do with the product?

Melanie Trecek-King (41:43):

No, actually. So the article, “How to Sell Pseudoscience” is … I know Bertha Vasquez wrote up a version of it.

Eric Cross (41:50):

Maybe we can grab that. ‘Cause we might be able to put that into the show notes for folks, because she’s a middle school educator. If there’s already something that’s been done for teachers like us, we’re like, “Yeah, let me get that and let me remix it and make it my own!” if there’s already a exemplar out there.

Melanie Trecek-King (42:04):

Yeah, she’s done it. And so I will absolutely share that with you.

Eric Cross (42:08):

So, all season long, we’ve been talking about science as the underdog. We kind of framed it, you know, science oftentimes takes a back seat to math and English. It’s kinda the first thing to go. Or the first area where time can get cut. Because of what gets tested gets focused on, oftentimes. And then in addition to that, when you’re a multi-subject teacher, elementary science isn’t just one thing — it’s every field. You know, you’re a biologist, which is different than a geologist. And when you’re teaching every subject, that’s a lot. And you might not have had a science class for years. And the realities that we’re seeing over and over with different researchers and practitioners is that science could actually enhance literacy, and building those skills. And I think you really talked about it with the critical thinking skills. Those can transfer. Or the administrator that said, “This is one of the only courses I’ve seen where it transfers to other areas.” Could you share maybe with our listeners, just any advice for advocating for science in their own world?

Melanie Trecek-King (43:13):

Wow, I’m not sure I’m qualified to answer that question! One of the things that comes to mind though — because I was listening to your last episode and educators … I honestly didn’t realize how little time they had for science. And how often science was then the first to go, to allow room for other subjects. But science overlaps with a lot of other issues. And so I feel like there could be a way to bring in science when teaching these other subjects. So, for example, argumentation and logical fallacies are easy to apply to reading and writing. Information literacy, and being able to find good information online, teaching students how to laterally read, to be able to check a source, or how to use Google effectively, to put in neutral search terms to find sources, or teaching students how to recognize the characteristics of conspiratorial thinking: All of these things can overlap with so many other subjects. So the scientist in me is a little biased towards science being important enough to do this. But try to bring it into the other subjects. It doesn’t have to be completely separate.

Eric Cross (44:43):

So integrating science into other things. And I … big believer. And a hundred percent agree with you. Now I’m gonna ask a question that kinda like takes us backwards. You shared an app with me when we first met that I thought was really cool. And I know it’s a friend or colleague of yours. But as a middle school teacher, I thought it was great, because it was something that my students could download and practice some of the skills that you’re talking about. Would you talk a little bit about the cranky uncle? Is it the Cranky Uncle app?

Melanie Trecek-King (45:17):

Cranky Uncle.

Eric Cross (45:18):

Could you share a little bit about that?

Melanie Trecek-King (45:20):

Yeah. Cranky Uncle is awesome. So, Cranky Uncle is the brainchild of John Cook, who is the founder of Skeptical Science and the author of the 97% Consensus study on climate change. Cranky Uncle … so he’s also a cartoonist. And Cranky Uncle is a cartoon game where … I don’t even have to explain who Cranky Uncle is to my students. Everybody inherently gets the, the character, right? So he’s like the guy at Thanksgiving that you don’t wanna talk to because he denies climate change and he’s just really cranky. But Cranky Uncle uses the techniques of science denial, which are summarized by the acronym FLICC: So it’s Fake experts, Logical fallacies, Impossible expectations, Cherry-picking, and Conspiratorial thinking. So he uses those techniques. Again, this is technique-based inoculation. So they recognize the techniques in the game, and you earn cranky points. And as you make Cranky crankier and crankier because you’re recognizing his techniques, you learn the techniques of science denial, and level up and open up other techniques. This is another one of those examples where climate change has a lot of science behind it, right? And if you wanted to get to the science behind climate change for any particular issue … so let’s say it’s cold today, so I’m gonna say there’s no climate change. OK? If I’m gonna unpack that at a factual level, and with science, we could be here for a while. But if I told you, “That’s like saying, ‘I just ate a sandwich so there’s no global hunger.’” OK? So that’s a parallel argument. Humorous. Love to use this kind of argumentation, ’cause it makes for some … I mean, it’s funny, but you get the point. It’s an anecdote. And anecdotes aren’t good evidence. So just like that, you could teach the technique of using an anecdotal fallacy for climate-change denial. So, I have my students play this game. You could do it when you’re studying argumentation. You could do it for science denial. I use an inoculation extension with that, where I have my students pretend that … um, actually, back up for a second. So I teach a class on critical thinking. And at the end of semesters I would get emails from students on, well, they’re failing the class, but they really shouldn’t, for all of these reasons. And reading these emails, I’m like, “If you think that’s a good argument, you clearly didn’t learn what I was hoping you would learn.” So I now have my students, early in the semester, after they play Cranky, pretend that it is the end of the semester and you’re failing the class and you’re failing because you didn’t do the work. Use at least four of the fallacies from class to argue for why you should pass. So they have to put it on a discussion forum, and they’ll say things like, “Well, if you fail me, then I won’t get into graduate school and then people will die and it will all be your fault.” Or, “My dog died, and so I was really sad.” Or, um, “You’re just a terrible teacher. And you’re short. So I don’t like you.” Or that kind of thing. So, oh, they love to attack my character. It’s really funny. But it’s supposed to be funny. And the point is, the students are using those arguments, they’re using the fallacies, to argue for something. And so by creating that misinformation themselves, they learn how those fallacies work. But taken together, I mean, everything that we just talked about there, Cranky Uncle, and the fallacy assignment, or whatever iteration you want that to be in, that doesn’t have to be in a purely science unit. Right? That could be sociology. It could be argumentation. It could be English.

Eric Cross (49:01):

Absolutely. That could be totally a prompt in an English class. And practiced in there. And then this could be an interdisciplinary thing, going back and forth between English and and science. Just having these discussions and looking at it from different angles. And you’re practicing the skills in two different contexts. So you get into argumentation. And then that app, I know I had fun with it. And the questions on there definitely resonate with people in my own family. I’m like, “I feel like I’m talking to exactly somebody that I’m related to right now.” <Laugh> Melanie, anything else that you wanna share, or discuss or highlight, before we wrap up?

Melanie Trecek-King (49:39):

So we could talk about lateral reading, if you like. ‘Cause I know a lot of educators use the crap test.

Eric Cross (49:45):

Please, please, please talk about that.

Melanie Trecek-King (49:47):

So, when evaluating sources, a lot of educators teach what’s called the CRAP test. And I wish I remembered what it stood for. But basically what you do, a lot of us have been taught when you go to a website, to figure out if it’s reliable, you wanna go to the about page. Read the mission; see who they are; maybe read some of the content; evaluate the language. So is it inflammatory? Are they making logical arguments? Are the links to reputable sources as well? And the problem is that if a site wants to mislead you, they’re not going to tell you that it’s a bunk site, right? They’re just gonna do a good job of misleading you. And so, what you wanna do instead … the CRAP test basically is an evaluation of a site. And that’s what’s called vertical reading. So you’re looking through a site to determine if it’s reliable. Uh, I think his name’s Sam Wineberg at Stanford, proposed something called lateral reading. Where, instead of on the site, what you wanna do is literally open a new tab and into the search engine type the source. You could do the claim, too. And then something like Reliability or FactCheck or whatever it’s that you’re checking, and then see what other reputable sites have to say about it. So, in their study, actually, they did a really interesting study where they compared professional fact checkers to PhD historians to Stanford undergrads. And they evaluated — I wish you could … um, there’s two pediatrician organizations. One’s like the American Association of Pediatrics and the American Academy of Pediatricians, something like that. They’re very similar sounding. So you give them to students. I do this with my students as well, the same study. So I give my students those two websites. And I say, “Which one of these is more reliable?” And they do exactly what most of us do, which is spend time on the site looking around. And most of the time, if not nearly all the time, they come to the wrong conclusion. And so then I tell them what lateral reading is: “OK, instead of looking through the site, open a new tab, search the organization and reliability.” Something like that. And it takes probably 30 seconds before they realize one of them has been dubbed by the Southern Poverty Law Center as a hate group. As opposed to the other one, which is like a hundred year old huge pediatrician organization that produces their own journals and so on. But nearly all my students are fooled. And in the study, none of the fact checkers were fooled. I’m gonna get the number right. It’s something like 50% of the historians and 20% of the Stanford undergraduates got the correct answer. And they spent a lot more time on it. So it’s a great way to teach students how to use the power of the internet to evaluate sources much more quickly and, effectively. And yes, use Wikipedia, right? Wikipedia is not a final answer, but Wikipedia is actually pretty accurate. So if Wikipedia is the first place you stop, then yes, go there, see what Wikipedia says, and then follow some of their sources.

Eric Cross (52:47):

What popped in my head was like, Yelp reviews for websites. That almost sounds like what it was. It’s like when I search for a product, I don’t go and read the product description marketing. ‘Cause that’s all designed to sell me on something. But I’ll go and look in Reliability, if it’s like a car, or just other sites to cross-reference. And that sounds like what you were talking about is like cross-referencing. Seeing what FactChecker [sic] said about this site, versus seeing what a site says about itself.

Melanie Trecek-King (53:14):

Well, that’s a great analogy. Because if I wanted to know if a product was effective, what the manufacturer says about the product, clearly there’s a strong chance of bias. Right? They’re going to be on their best, um, put their best foot forward. Versus, what do independent reviewers say about this product?

Eric Cross (53:35):

Yep. And I am known to research something to death. And I get something called “paralysis by analysis.”

Melanie Trecek-King (53:42):

Ohhhh, yeah.

Eric Cross (53:44):

And it’s so bad that even if I’m trying to buy, like, towels, I need to find the best-bang-for-the-buck towel. I have to defer some of these decisions out, because I’m on the internet for three hours now. I’ll be a pseudo-expert in towels, and thread count, and all of that stuff. But yeah, that maybe that’s just the science person.

Melanie Trecek-King (54:03):

I mean, I feel your pain. I do the same thing. <Laugh> It’s annoying. Like, it’s just towels. What does it really matter? But yeah.

Eric Cross (54:10):

Coffee! It doesn’t matter what it is. I just need to go, “OK, I have to use these powers for good. Otherwise I’m gonna be researching forever.”

Melanie Trecek-King (54:16):

I wanna say one other thing. So, again, this is a college class and I have a lot of freedom. But one of the driving philosophies behind the class is a wonderful quote in a book, Schick and Vaughn, How to Think about Weird Things. And they said, “The quality of your life is determined by the quality of your decisions, and the quality of your decisions is determined by the quality of your thinking.” And I know my students want a grade. But I’m really trying to teach them how to be empowered through better thinking. That’s where the name “Thinking is Power” came from. I mean, we say “Knowledge is Power,” but it’s not enough to know things. And there’s too much to know. So being able to think and be empowered to have your own agency and not fall for someone’s bunk is my goal for my students.

Eric Cross (55:07):

And doing that is gonna help them through the rest of their lives. Not be swindled, not be taken advantage of, be able to make better decisions. There’s so many benefits to building that skill. And I know your students have definitely grown and benefited. I’m sure you’ve heard, long after you’ve taught them, heard back from them and how they’ve applied that course to their lives. Melanie, thank you so much for being here. For a few things. One, for providing and filling this space where there’s such a need. Again, the critical thinking resources, the tools that you used, are so, so important. If we ever lived in a time where they were critical, it was really what we experienced during the pandemic in the last few years. We watched people’s information literacy and science literacy play out in real time. And we literally saw life-and-death decisions being made based off those skills. That highlighted, I think how important this is. And then, taking the time to generate resources for educators like myself, that we can take and adapt and put into our classroom and start teaching our students. ‘Cause like you said, by the time they get to you, they’re, they’re so far downstream or so far in a system that, depending on the teachers that they’ve had and the education system they’ve been in, may or may not have even touched on these things. They might have learned a lot of facts, but they may not have built their muscle to be able to critically analyze and interpret the world around them. And you’ve just — even the last year, it hasn’t even been a year since we talked the first time — I’ve watched your resources continue to grow, and you share them. And so I, on behalf of those of us in K–12, thank you. And thank you for being here.

Melanie Trecek-King (56:49):

Oh, well, thank you so much for this opportunity. Thank you for everything that you do, reaching out to other educators and for giving me a platform to hopefully reach other educators.

Eric Cross (57:00):

Thanks so much for listening to my conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College and creator of Thinking Is Power. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. You can find more information on all of Amplify shows at our podcast hub, Amplify.com/Hub. Thanks again for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Melanie Trecek-King says about science

“Students carry in their pocket access to basically all of humanity’s knowledge at this moment in time. The question is: do they know what they’re looking for?”

– Melanie Trecek-King

Associate Professor of Biology at Massasoit Community College and creator of Thinking is Power

Meet the guest

Melanie Trecek-King is the creator of Thinking is Power, an online resource that provides critical thinking education to the general public. She is currently an associate professor of biology at Massasoit Community College, where she teaches a general-education science course designed to equip students with empowering critical thinking, information literacy, and science literacy skills. An active speaker and consultant, Trecek-King loves to share her “teach skills, not facts” approach with other science educators, and help schools and organizations meet their goals through better thinking. Trecek-King is also the education director for the Mental Immunity Project and CIRCE (Cognitive Immunology Research Collaborative), which aim to advance and apply the science of mental immunity to inoculate minds against misinformation.

A woman with long blonde hair and a black top is shown in front of a blue background, framed by a circular graphic with an illustrated flask in the corner.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S3-02: How science strengthens literacy and language development

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In our second episode of the season, we continue finding ways that science is overlooked and how it can be better utilized in schools—and as an ally to other subjects!

We sat down with Susan Gomez Zwiep, former middle school science teacher and senior science educator and staff advocate at BSCS Science Learning. She shared past experiences and research that shows the benefits of integrating science and literacy, as well as strategies for applying these ideas in the classroom.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Dr. Susan Gomez Zwiep (00:00):
We started to see this trend of students communicating more in English because they were excited about the science that they had been learning.

Eric Cross (00:10):
Welcome to Science Connections. I’m your host Eric Cross. In this third season, we’re exploring the theme of science as the underdog. And last time around, we delved into the data showing that compared to other subjects, science is often put on the back burner. Now it’s time to explore why it’s so important to change that and how to do it effectively. So over the course of these coming episodes, we’re gonna make the case for science and equip you with data and strategies for advancing science in your own home, school, or community. To kick things off, we’re going to spend a few episodes going in depth on the integration of science and English instruction. We know we need to dramatically improve literacy rates in this country, and as we’ll show in the coming episodes, science can be a key ally in that goal. We’ll also show how language development and literacy instruction can support science. Yes, it can be a win-win, folks. To start out, I’m joined by someone who has been studying science and language development for more than a decade. Dr. Susan Gomez Zwiep is a senior science educator and staff advocate for BSCS Science Learning. On this episode, she talks about her own experience as a middle school science teacher and share some key insights and strategies from the research on integrating science and English language development. Please enjoy this conversation with Dr. Susan Gomez Zwiep.

Eric Cross (01:36):
Welcome to the podcast. Thank you for being here and having this really important conversation. So I’m so glad you can make it, Susan.

Dr. Susan Gomez Zwiep (01:43):
Yeah, I’m excited to be here.

Eric Cross (01:44):
We’re gonna talk all about language development and science. But first I was hoping that you can just kind of set the stage and tell the listeners about yourself and how you came about to studying this specific subject.

Dr. Susan Gomez Zwiep (01:57):
Sure. So I am a California native. I grew up in the San Gabriel Valley and that’s where I started teaching. I have an undergraduate degree in integrated biology from UC Berkeley. And I thought I was gonna go be a field scientist. And while I was waiting for grad school applications to run their course, I took a substitute job in Montebello to kind of bide my time. And because I had a science degree, they asked if I would take a permanent placement, well, a temporary permanent placement. And I said sure. And found myself teaching seventh and eighth grade general science to a population that at the time was about 68% English language learners, in a school that you would consider urban, under-resourced with a community that was large percentage immigrants from Mexico, Central and South America. And I never looked back. I kept that job.

Dr. Susan Gomez Zwiep (03:04):
I loved it. I love the middle school classroom. I love teaching science to my middle school students and truly, truly just found a really good home for my love of science, but also my love for talking about science and helping other people understand science. So at some point I was entertained with the idea of going to graduate school. So while I was still teaching, I actually did a Ph.D. At the University of Southern California in the science education field. And once there, realized that I actually had a unique experience in higher ed, that experience of teaching with populations that are learning English or have home languages other than English, was actually not common in higher ed circles. And being from that community was also not common. And so I pretty quickly leveraged that experience to combat what I think is universally agreed as an equity issue that in my school where I taught, the district had advocated for ELs to get an extra hour of language development in order to promote their English language proficiency.

Dr. Susan Gomez Zwiep (04:28):
And, our principal wisely said, there are not enough English-only students in this school to do that without losing all of our science teachers because there’s not enough kids left to actually fill a day, a teacher’s day. And she said, these kids learn more language in their science courses than they do anywhere else, so I don’t wanna remove that. But the reality is, is that at that time–this was in the late nineties, early two thousands–if you were not proficient in English, you went to more time with language development. And that makes a lot of sense in some ways. But when you look at the big picture, you realize, well, that means those kids aren’t going to science and they’re not having opportunities to have consistent quality science learning opportunities simply because they spoke a language other than English at home. And so that’s really how I fell into this work.

Eric Cross (05:28):
And that has a downstream effect. I mean, once you start pulling students from a course, that automatically sets the trajectory for later outcomes, which we ultimately see in STEM fields where we, we don’t see the population of our students represented in the STEM fields. Now, I know this goes back a few years, but you were doing research for your Ph.D. What did you start to follow?

Dr. Susan Gomez Zwiep (05:50):
Yeah, so I eventually took a position at Cal State Long Beach, which was not by chance, it’s a Hispanic-serving institution, and that’s where I wanted to do my academic work. And once I was there, sought funding with a district to support elementary science learning. So it had a teacher professional learning component that was both summer and in-class, sort of like PD in the classroom component. And the district came back and said, the only way you are gonna get time to even talk about science in elementary school is if it’s attached to language development. And so that’s what we did. It was a three-year grant, there was a sister grant that followed–so all told, it was about a five-year program where we basically said, what if instead of following the traditional ELD, English Language Development curriculum, we modified and put science as the context for language development in the K2 bands.

Dr. Susan Gomez Zwiep (07:01):
Teachers at the district traditionally had not been excited about their language development curriculum until we said, we’re gonna take that and we’re gonna do some science instead. And then they were like, no, no, no! We love our ELD curriculum. But they hung in there with us. The project was successful enough that it actually became a K4 and then a K5 project. The district ended up having to put in a ton of money into this because the grant only paid for so much. But their schools actually wanted “in” ’cause what they heard is when we put science as a context for language development, kids were talking more. Kids were speaking in English more. Kids were writing more. Kids were engaged. And the ultimate, kids were developing English quickly and in a community where you could actually operate within the community without speaking English. These are Spanish-speaking communities and the schools operated in Spanish outside the classroom. So if you walked into the school’s office, the principal secretary, the person who manned the door, spoke Spanish. The field supervisors that the lunch supervisors spoke Spanish.

Eric Cross (08:17):
The non-teaching staff that are supporting the rest of the students outside of the classroom.

Dr. Susan Gomez Zwiep (08:23):
Yeah. Everybody spoke Spanish and they spoke Spanish at school. And even the principals came back and said, from being in this project, that the kids were coming into the office and had transitioned to communicating in English, especially when they wanted to talk about science, and they really wanted to talk about science ’cause they were super excited about the stuff that they were learning. So we started to see this trend of students communicating more in English because they were excited about the science that they had been learning. And yeah, that sold itself and we had schools jumping in.

Eric Cross (09:01):
So you started off in a situation where you were told that you had to, if you wanna get science and you had to merge it into English, basically. And is it fair to say that that’s because of testing requirements that schools have on them? Like this is what gets analyzed or what was the purpose behind that?

Dr. Susan Gomez Zwiep (09:15):
It was district policy and it was site policy and those policies were put into place for very good intentions. Students don’t get reclassified into English only, and reclassification is how you traditionally got access to all this other programming, electives, AP college prep, all those other things. And the best way to get them reclassified was to learn English, and to learn it sooner rather than later. So it was in an attempt to get kids reclassified from English learner to English proficient.

Eric Cross (09:55):
And then during that process it was able to be expanded to K4. And then with these open-minded teachers, you gave them the content, they used science as the context for learning. And then your students who were mostly emerging bilinguals and multilingual students, you found that they started speaking English more frequently. What did you make of that result? Like what did you come to after seeing all that happen?

Dr. Susan Gomez Zwiep (10:20):
So I do wanna say that there’s a couple of reasons why we think this works so well. But I have to really acknowledge that there were linguistics, second language acquisition experts that were part of this team. And we wouldn’t have been able to make any of this work if it was purely science educators leading this cause. There’s a lot we didn’t understand about language development, and they really helped us. But one of the things that we think is unique about science, there’s a few really important aspects–one is that we all have experiences in the natural world, since we can process outside information, right? We all have observations, things we’ve observed with our eyes, we’ve heard, we’ve felt, and all of those experiences build some pretty good science ideas before we enter formal schooling. You know, kids already have ideas about this.

Dr. Susan Gomez Zwiep (11:20):
We don’t have to give them language for it. They already have these concepts and experiences. The other thing is that we are inherently interested in the natural world we occupy. And so we’re curious, science is often considered cool, there are science channels and science fiction movies and science fiction books and magazines–and this is just … it’s just cool. And that tended to be the trigger, you know, when we gave kids something interesting to observe. A Ziploc bag with water that we added an Alka-Seltzer to, and strange things starts happening in the baggie. That curiosity, that excitement allowed kids to leap over any concerns they had about the language they were supposed to use in the classroom. One of the most difficult things about learning a language is using a language that is imperfect. So saying things and communicating in a language that you are not a hundred percent confident about, that you’re not sure you’re using the right words or the right tenses. But when kids were excited about this thing in a Ziploc bag, they didn’t care. They communicated however they could, sometimes in their primary language or their home language, sometimes in imperfect English, but by and large they just communicated. They did it in oral language, like listening and speaking, but they also did it in writing. And that was easy. Like we didn’t have to do anything other than provide interesting science experiences. And that’s, that’s pretty common.

Eric Cross (13:06):
Yeah. I feel like, to co-sign on the science is cool, it is objectively, if a matter of fact, even just looking at the Oscars, like we have multiverse, you know, we have sci-fi you know, the costume designer of Wakanda Forever. We have all of these different movies that are all founded in some kind of these scientific principles. And so the idea that science is cool and organic, naturally engaging is something I think we, we all can connect to and it resonates with all of us. So I feel like is sort of your origin story too.

Dr. Susan Gomez Zwiep (13:33):
That’s the origin story.

Eric Cross (13:34):
That’s the origin story right there, to continue with this like movie theme. Now if we fast forward to today, based on all the research that you’ve seen since then, and your experience, why would you advocate merging English language development and science?

Dr. Susan Gomez Zwiep (13:49):
Well, for one, the research that we conducted actually provided some really nice evidence that showed, even though we had essentially stole minutes from language development time and inserted science. And on state mandated tests and on their students’ language proficiency measures, the kids in the program with the blended, did significantly better than students who were getting ELD instruction alone. Traditional ELD instruction. And that kind of blew our mind. We would’ve been happy if they had done just fine. Like we could put science into a student’s day and do no harm. They could get their language development; they could get science. But in fact, what we found was that they did better. That they actually gained English more quickly and it showed up in multiple measures, including the state English language arts assessment, which again, kind of blew our mind.

Eric Cross (14:55):
So just to be clear about the study that you did, you looked at two groups and one was the blended science and English language development, and then the other one was a control group. And the blended group ended up showing more improvement.

Dr. Susan Gomez Zwiep (15:09):
Yes. So there’s quite a bit of research now, this research was done in the early two thousands, and the research has built around it to really suggest that this does seem to be a more efficient way to promote language development while still maintaining students’ access to a core content area. But in recent years, the standards have shifted and that has been just a remarkable, wonderful change. And both standards have shifted. So when we did our research, we did it under the old California Science standards that were fairly heavy in technical terms. They were heavy in science concepts rather than kids doing things. And they were a much narrower focus.

Eric Cross (16:04):
And these are the standards that most of us grew up on, right? Those of us who are pretty much teachers in the classroom today pretty much grew up on what you’re talking about. Is that fair to say?

Dr. Susan Gomez Zwiep (16:12):
That’s fair to say, yes. So the new standards that we have now, the California NGSS Standards emphasize not just ideas, but they also emphasize students doing things in science. And we didn’t have to build-in language portions to the standards. They now exist. The NGSS is a very, very rich linguistic opportunity for students. And at the same time, the way we’ve thought about language development has also shifted. We used to talk about language and science… we used to think about science as a lot of words, and you had to know the words, you had to have this technical language. And we’ve sort of shifted that to really thinking about, language is no longer a prerequisite for science learning. Language is now developed through the science learning or the content learning experiences.

Eric Cross (17:11):
So now there’s more chances to integrate English into science. Have you seen success stories or have you seen examples of this? Maybe just anecdotes of teachers kind of doing this since you’ve been doing this research and kind of watching. If so, would you mind sharing one or two?

Dr. Susan Gomez Zwiep (17:30):
Yeah. And I will just give a nod to Dr. Dr. Okie Lee who’s now at NYU who has really led sort of this reconception of language and science. And one of the ways she talks about it is this notion that I enter this learning experience, I enter this observation of this phenomena with fairly naive, simple scientific ideas. And my language about it is equally simple. But as I develop more and more ideas, as my understanding of the phenomenon, what I figured out becomes more sophisticated, I need more sophisticated language. And so what we’re starting to see are these spaces where teachers are building science ideas and science and understanding along with the language. And in order to do that, you really need to know what’s the storyline arc of my science lesson? What do they figure out in lesson one? What do they figure out in lesson two?

Dr. Susan Gomez Zwiep (18:35):
What do they figure out in lesson three? How are the science ideas building over time? So that I can then look at the language that they’re using and what language supports do I need in order to allow students to not only engage and figure things out, but communicate their ideas about it. And so we’re seeing teachers blow up what we call language, what we call text. It’s not just words. It’s not just sentences written on a paper, but it’s models, it’s pictorial representations, it’s gestures, it’s this wide range. We pretty much said, let’s blow language up. Let’s like use all of the linguistic registers that we have in order to make meaning of what we’re seeing it in together in this classroom. So that’s one thing that we’re starting to see. The other thing is that teachers are really allowing students opportunities to use what we call social language, non-standard dialects.

Dr. Susan Gomez Zwiep (19:40):
The language I use at home and with my friends. Because earlier I had said, we have all these experiences and those experiences in the world are tied up in my social register. They’re tied up in my home language ’cause that’s where I experience them. And to let students have access to using that language in the classroom, especially initially in a unit, means we’re giving ’em access to those experiences that they have that are related to the phenomena under study. So I totally understand the benefit of promoting academic language and promoting language frames and forms that we use in more academic settings. But it’s a sticky wicket. You have to be careful how you tell students about the way you want them to communicate. Because when we tell them that language that you use at home with your friends and family is not welcome here, we can send a message that they’re not welcome here. And that those experiences that they have outside of classroom about how things fall, the way sunlight heats up different surfaces, where you’ll find plants and what plants you will find based on conditions. All of those experiences, we’re sending a message that those are not welcome in the classroom. And so this expansion of language, including non-standard dialects and even home language, is really important for letting students bring their whole selves into the classroom.

Eric Cross (21:23):
I love what you just said. It legitimizes the funds of knowledge, the language, the cultures that our students are bringing to the table. I remember when I first learned the word code-switching in college and you know, I’m biracial, I grew up in my home community and my school community were two different communities and I ethnically, culturally belonged to both. And I had to code-switch in order to kind of survive and be accepted into different communities. And not until I was in college did I actually understand what I was doing. Now there were all kinds of teasing and jokes that went on to how I would talk if I code-switched improperly. And in my classroom, I would see students who would explain concepts in a way that was maybe like a casual register. They just were explaining it the best way they could.

Eric Cross (22:10):
And the way they were speaking was kind of denigrated or it was seen as negative even though they were communicating their concept. And when I became a middle school teacher, one of my, I don’t know, it’s like sometimes when you teach, you get to, you change how you were taught or what you experience and legitimizing my students’ language, and they would tell these beautiful stories and in their most common like, casual language, but they’re explaining the concept brilliantly. And it was phenomenal to see this barrier be removed of saying, you have to talk like this in order to be a scientist or you have to say these right words. And, and that’s what I feel like I’m hearing that in how you’re describing kind of how science has been done and what language can do to certain groups of students.

Dr. Susan Gomez Zwiep (22:58):
Yeah, very much so. And you know, back to the origin story, you know, I grew up in a multi-generational household. My mom, my aunt, my grandmother, Spanish was their first language, but they lost it because my mom was raised in Riverside and she, you know, went to school in the, the fifties and sixties and back then you weren’t allowed to speak Spanish at school. And so they lost the language.

Eric Cross (23:27):
They weren’t allowed to speak it at all.

Dr. Susan Gomez Zwiep (23:29):
At all. I didn’t directly observe it, but that is the story that my family tells, that there was no English spoken anywhere on school grounds. And that was a different issue. Right? That was very much for people unfamiliar with some of the history in Southern California. Their segregated schools, severe racism, linguistic racism, racial racism against Mexicans was a real thing. But yet I grew up in this household where the sort of way of speaking, like I think many Mexican households, the context is everything. So you can’t get to the facts until you’ve told the whole context of everything happening around it. So we used to joke that we couldn’t send my grandmother to the doctor by herself ’cause he had 15 minutes, and she was gonna take 20 just to tell him how she got there before she got to why she was there. But this telling of the context, the telling of the story around the idea is part of the linguistic, this sort of linguistic way of my household. When I got to school, I had to learn to drop it because teachers found me off topic. You know, I still have to be careful how I express things and sometimes I’m not a fast storyteller <laugh>, and I monitor that for myself. So I can only imagine what it’s like to be a kid in a classroom.

Eric Cross (24:59):
Right. And there are so many constraints in the school day, you know, especially if you’re multi-subject and you’re elementary and you’re teaching multiple subjects and someone’s trying to tell a story and you’re just like, land the plane! And they’ve, you know, gotta tell ’em the story, but realizing that when you look at it through a lens of like, culturally, this is how we communicate, then it reframes what the student is trying to do. They’re communicating to you based on how they’ve learned to communicate and they’re including essential parts of the story. And so how do you both honor that while also, you know, certain things like brevity and being concise and things like that that they’ll have to learn. But also honoring that and making sure that there’s space for that in your classroom. Even me, I’m thinking about this where I had students record this video and it was one minute to two-and-a-half minutes explaining three concepts. And I had students coming up to me afterwards saying, Mr. Cross, I need to record two videos because two-and-a-half minutes is not long enough. And I was like, how? I even extended it. But I’m realizing and listening to you and going, they’re probably not just getting to the point. They’re probably including more context into this because that’s how they story tell and that was actually part of the lesson.

Eric Cross (26:12):
So now I need to go back and extend their time that I’ve given them for <laugh> that project. I wanna come back to kind of, since we’re on this topic about why this is also an equity issue. Mm-hmm. <affirmative>. So we were talking about language, you touched on this a bit, and we were talking about integrating into science, but can we go a little bit further into how this integrated approach maybe can benefit English language learners in particular? And maybe anything else that’s related to equity that comes to mind.

Dr. Susan Gomez Zwiep (26:40):
So there’s a couple of layers of the equity issue. The most tangible and clear is student access. If we wait until students develop English proficiency to allow them access to quality science learning, we lose a tremendous number of students that could not only could they benefit from science, we could benefit from their entering this science conversation. And I was at a university and I was in a college of natural sciences and we were dedicated to increasing the diversity of the faculty. And it was a struggle ’cause the number of Ph.D. science ed or biology or chemistry academics that come from marginalized populations is very, very small. And it’s not by accident. You know, the number of students that make it into the next level, that make it into college prep courses, that make it into STEM majors, that complete STEM majors and go on to either careers or advanced degrees narrows at every possible step.

Dr. Susan Gomez Zwiep (28:01):
And so the equity issue is really one of access. And as basic as that is, it’s the easiest to solve. So that’s the first layer of equity. But the second issue around equity is how we engage these students once they’re in this space. Do we make it possible for them to see themselves as a scientist or an engineer? Are we creating learning experiences that not only allow them to use all the sense-making resources that they have, but do we make them feel like they’re valuable and useful in that space? Because there’s a lot of people that will say, I could be successful as a scientist, but I’m not willing to give up who I am in order to do that. And that’s a real thing. There’s a lot of research about like, why are they leaving? Like why, you know, is it because they’re not able?

Dr. Susan Gomez Zwiep (29:05):
Is it because they don’t see themselves as being capable? And now I think we’re looking at this as a different issue. It’s not that students don’t see themselves as capable and not that they’re not achieving. They see the cost that it will take to enter these fields and essentially not be able to be their full selves. So that’s the second equity issue. And in both cases we lose. As a society, we lose. We lose access to the full range of human resources that we have, and we lose access to their unique perspectives that they would bring to real problems facing us. It’s like all hands-on deck. We need to stop making it too difficult to participate in the conversation and we need to be more inclusive about how we invite these other perspectives and how we respect and utilize their ways of sense-making. That may not be Western science ways that we have in our books now, but hopefully those science materials are gonna change and we’re gonna start to see other ways of sense-making and other people involved in the stories that we tell around science concepts.

Eric Cross (30:29):
And just to be clear, this practice in integration, while it lifts up equity for marginalized or underrepresented groups or students who are emerging bilinguals or students who typically we don’t see representation of, this approach also benefits native speakers as well. Correct?

Dr. Susan Gomez Zwiep (30:47):
Yeah. And there’s actually a group of native speakers that come from text poor homes. It’s typical in underserved communities. Poor people living in poverty that may be native English speakers. They may not be marginalized populations. But they don’t have access to like text. And so that’s another group altogether that needs linguistic support. And then once you have all voices in the room contributing, everybody benefits because now the conversation, the building understanding conversation we’re having or the sense-making conversation that we’re having has everybody involved. And we all benefit from that.

Eric Cross (31:33):
And we see, I think one of the benefits about a country like the U.S., is we have such a heterogeneous group of people. And when we’re moving in the same direction, we’re all coming to the same problem, but from different perspectives and we’re able to come up with more innovative and novel solutions to them. And that’s kind of what I’m hearing is like as we generate scientists that are all coming from different backgrounds, we’re gonna be able to solve future problems, current problems a lot more effectively because nobody has a monopoly on perspective. Nobody has a monopoly on knowledge or the fastest way to do something or the best way to do something.

Dr. Susan Gomez Zwiep (32:11):
Right. Right. And traditionally we really have privileged particular experiences, particular ways of sense-making particular linguistic registers. And if we could just kind of put that privileged ways aside and open up space for everybody to feel like they have a voice, I think the next generation could change the world. I think they could solve some real problems. I’m truly hopeful that they would see themselves not just as capable, but as necessary in these pursuits.

Eric Cross (32:50):
So what does it actually look like today to do this work in instruction well? So to integrate the science, to integrate literacy, to take the benefits of the things that we’ve been talking about. What are some practical things that educators could do to get started, whether it’s in early, you know, K5 or middle school or even high school.

Dr. Susan Gomez Zwiep (33:13):
So I will say, I’m gonna kind of separate ’cause in the elementary space, students are primarily developing literacy in multiple languages. The language of the classroom, typically English, home language, languages, they may be multilingual. In the secondary setting where students tend to have developed social language in some language, it’s a little different. So I’m gonna kind of separate those two. So for elementary spaces where teachers tend to teach multiple things, I recommend that you get a partner. Don’t do this work alone. You cannot do this work alone. I mean you can, but it’s very frustrating and not nearly as much fun. So you really wanna take a look at what is the science that kids are going to be engaged in. Because when we look at science first and build language development around it, the experience tends to be more authentic and organic.

Dr. Susan Gomez Zwiep (34:18):
And what we used to do is we used to, like when we were talking about the science, we’d monitor the language we were using and then use that to say these are the registers. This is the language that we use when we were thinking about this. So if students are gonna use this, these are the scaffolds they’re gonna need. ‘Cause to do it, well, to do it efficiently, the scaffolds need to be specific to the science learning. So if we’re doing cause and effect, those are specific linguistic scaffolds that are different than if, say we’re doing model and systems and systems models, those are a whole other slew of scaffolds. And so you wanna be really tending to, what is the science being discussed and what is the language that kids are going to use and build scaffolds around it.

Dr. Susan Gomez Zwiep (35:10):
And then you also wanna think about what is the social language? What are the experience that kids will have either in words or pictures that I can leverage in this space. And then you wanna do that for the arc of the unit and slowly increase sophistication around those linguistic supports, as well as the science learning. But if kids have social language and they’re now in, there’s a group we call long-term English learners who have not been reclassified way beyond what the typical reclassification is. And that actually is important to think about because if you think about the kinder group, the group of kindergartners that enter a school when they’re five or six, those kids are going to go from grade to grade to grade. And as students develop proficiency, will get reclassified and they move out of this group that we’re still calling English learners.

Dr. Susan Gomez Zwiep (36:10):
So by the time you get to like seventh, eighth, ninth grade, if they’re still students in that category, they have very different needs on average than the group we started with. Often when we talk about secondary or these long-term English learners, we can leverage social language a lot more, but have to build the scaffolds more carefully around, for lack of a better word, the more academic content transferring that those social nonverbal language into more sophisticated forms. I think in any setting, you wanna utilize your resources. If I’m in a secondary space and I have a language development teacher and I’m not talking to her or him or they, that’s a problem. You need to go talk to the other people that have these same kids and talk to them about, how are you engaging in language, what are you doing?

Dr. Susan Gomez Zwiep (37:07):
Because you know, you could actually have a lesson, maybe this is a lesson about energy and you’re using a model and the kids are creating an initial model. And over in ELD land, they’re doing some linguistic supports. They’re working on some forms and functions of language. You could talk about the catapult, you could talk about the solar heater. You could use the context of the science conversation, which has a whole bunch of tangible experiences. You know, there’s the solar heater in front of you. I don’t need to keep it all in my head ’cause it’s in front of me and we can point to things and talk about things by manipulating the materials. And then I can take all of that and my ELD partner can use that as context when available. But it takes collaboration, but it’s collaboration well spent. And it’s more challenging in the initial phases of the collaboration. Once you kind of the get into the groove, it becomes a lot easier.

Eric Cross (38:16):
The meta of this, as we talk about integrating science and literacy is, and this is great advice, but it’s basically integrate your science teachers with your English teachers and co-plan and do this work together. It’s a force multiplier. One, you’re both, you’re getting two specialists together. It also, I’m just listening to just the parallels. It also resembles what you actually do in the STEM fields of collaboration working together to problem-solve, and you’re modeling for your students what you want to happen. And if I was an administrator listening to this, someone who had control, like master schedules and things like that, there also needs to be space created for these teachers to talk to each other and plan and do all these other things to kind of maybe come up with like interdisciplinary units or even just meet and begin the conversation. It just seems like such great advice.

Dr. Susan Gomez Zwiep (39:07):
Yeah. We’re professionals. We have academic degrees and credentials and experience in the classroom and yet more often than not, we leave it to the students in the seats to make the connections between my class and the class they go to next. And that’s not fair. We need to be talking to each other. So if we’re talking about argumentation, argumentation in science and argumentation in ELA and argumentation in math–we’re not even talking about the same thing. I mean, cognitively we’re talking about taking some evidence and creating a claim and supporting it, but what we mean by evidence is very different in the different disciplines. What counts as more convincing evidence changes. And yet we assume that because we say evidence in one class, the kids know what we’re talking about. And the kids are sitting there going, which one is this? Which evidence are you talking about? Because last period it was something else. And so I think we also need to really consider who’s in the best position to clarify the connections and the integration because we leave it to kids more often than not right now.

Eric Cross (40:19):
I agree. Just having those conversations and defining your terms and agreeing on them just to make it easier for students. ‘Cause you’re right, they are left to make those connections or bridge the gaps. And when you have an education system for many schools, I think most of us, it’s still pretty siloed. You’re still kind of like, especially when you’re in secondary, it’s we’re doing this or even elementary, different times of the day you do different subjects, versus the way that we experience life itself or even our professions. We’re actually integrating science and math and reading and writing throughout the day, and ebbs and flows going back and forth. And without making those explicit connections, we’re leaving a lot of things to chance, hoping that the learning’s there in such a valuable moment. Before we go, I’m wondering if you have a parting message for listeners about the topic of integrating science and literacy. You’ve already said so many amazing things, but you have the platform speaking to educators and folks out there. What would you wanna say to them?

Dr. Susan Gomez Zwiep (41:18):
This is not an easy endeavor. The system that we operate in does not make this effort easy, but it is worth it. It is worth it to the kids in our classrooms. It is worth it to the building of a scientific community and a scientifically literate populace. It’s important to solving problems in the future. It’s important to have kids feel like regardless of how they say things, that they belong in a classroom. If we can relax the sort of linguistic demands on kids and let them enter science learning in a way that allows them to use all their resources and they’re curious, they can really leverage both areas in a way that they don’t do individually. It’s really hard to think about what it is I’m trying to say if I’m worried about how I have to say it. And so we really need to think about, when are those times that we’re gonna let kids just tell us what it is that they’re excited about and when is it that we’re going to help them craft a more formalized language around those ideas. Right now we do a really good job at that second half. We need to do better at the first.

Eric Cross (42:46):
Susan, thank you so much for joining us today and for sharing your expertise and your wisdom and your passion for serving the students and for bringing everybody to the table through language and through science. We really appreciate it and the listeners will too.

Dr. Susan Gomez Zwiep (43:03):
Thank you so much. This is my favorite topic.

Eric Cross (43:06):
Thanks so much for listening to my conversation with Dr. Susan Gomez Zwiep, senior science educator and staff advocate at BSCS Science Learning. And please remember to subscribe to Science Connections so that you don’t miss any of the episodes in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners find the show. Next time on the show, we’re going to continue exploring the how and why of integrating science and literacy instruction.

Speaker 3 (43:35):
When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences. A huge part of the work of a scientist is not just at a bench conducting experiments, but even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment.

Eric Cross (43:57):
That’s next time on Science Connections. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Dr. Susan Gomez Zwiep says about science

“When we used science as a context for language development, kids were talking more, kids were writing more, kids were engaged.”

– Dr. Susan Gomez Zwiep

Senior Science Educator, BSCS Science Learning

Meet the guests

Susan Gomez Zwiep began her career in science education as a middle school science teacher in Los Angeles where she spent over 12 years working in urban schools. Prior to joining BSCS, Susan worked at California State University, Long Beach as a Professor of Science Education.

Susan has also worked as a Regional Director for the K-12 Alliance, providing high-quality professional development in science and mathematics for K12 educators, including the CA NGSS Early Implementer Initiative. Susan consistently works toward establishing equitable access for all students to rigorous, inquiry-based science instruction and supporting teachers in their journey to become advocates for students, science education, and their own professional development.

A person with short dark hair smiles at the camera outdoors, with trees and hills in the background. The photo is framed by a circular graphic with a star and an accent mark.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S2-06: Making time for science in the K–5 classroom

Promotional graphic for "Science Connections" podcast, Season 2 Episode 6, featuring Lauran Woolley discussing making time for science in K–5 classrooms.

In this episode,  Eric Cross sits down with TikTok star and podcast host Lauran Woolley about her experience teaching science content within her K–5 classroom. Lauran shares how she’s learned how to make time for science, and what most K–5 teachers experience when creating their own science curriculum. Lauran also talks about her rise in popularity on TikTok, her podcast, Teachers Off Duty, and establishing strong relationships with her 5th grade students. Explore more from Science Connections by visiting our main page.

DOWNLOAD TRANSCRIPT

Lauran Woolley (00:00):

I wanna make sure that they’re ready for the real world, and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test.

Eric Cross (00:11):

Welcome to Science Connections. I’m your host Eric Cross. My guest today is Lauren Woolley. Lauren is a full-time fifth grade teacher in Leetonia, Ohio, who has amassed a following of 5.5 million subscribers on TikTok and over 1 million followers on YouTube. She’s also co-host of the podcast, Teachers Off Duty. Lauren has combined her teaching vocation and her talent for entertaining to connect with her students and encourage teachers across the world using her own unique style of edutainment. My most vivid memory from our discussion was her sincerity and openness about her experiences. It quickly became obvious to me that her personal transparency was a characteristic that she has remained grounded in despite her social media success. And now, please enjoy my discussion with Lauren Woolley.

Eric Cross (00:53):

You’re currently teaching fifth grade?

Lauran Woolley (00:55):

Yes.

Eric Cross (00:55):

What is it like to teach all content areas? ‘Cause I’m a middle school science teacher.

Lauran Woolley (00:59):

I didn’t always teach all content areas. First I started in second grade, so I used to teach like primary. I taught that for about three years. And I only really got my 4-5 endorsement because it was told to me that it would make me more marketable as a teacher. So I got it <laugh>. I was like, I’m never gonna use that. And then, my second year teaching, my class had low numbers and they collapsed my second grade classroom, split up my students, and then moved me to fifth grade in January. I had to take over a fifth grade class with all content areas in the middle of a school year. And it was really hard. It was like probably one of the most challenging things I’ve ever had to do teaching. When I got my job at my current school, it was only language arts, social studies.

Lauran Woolley (01:46):

So we only have two fifth grade classes. My other teacher would teach math, science. I taught language arts, social studies, and then the timeframes weren’t matching up. Like, I didn’t have enough time in my schedule for all the things we had to do in our curriculum. And she had like a little bit too much time. We realized as a district that it would be better for our fifth grade classes to just be self-contained. And last year was the first year I taught all five subjects. And I liked the variety of teaching everything because when I taught just language arts, social studies, I just felt like I was repeating myself twice a day. <laugh>. It was kind of boring for me. So like, I like doing all of it. <laugh>.

Eric Cross (02:24):

Yeah. With all of your talents and like your background and what I’ve seen, I could totally see why having all the different content areas would like make sense. Are you using a set curriculum? How do you come up with what to teach? Do you do it with teams? Like who comes up with that?

Lauran Woolley (02:36):

Uh, me, myself and I.

Eric Cross (02:38):

Well done.

Lauran Woolley (02:39):

My school, for literacy we’re using literacy collaborative. Then for math, we just adopted bridges, which I love and it’s very hands-on, very like student-led. For science, we had nothing. And I am not a science, or was not a science teacher at the time when I took over. So I panicked a bit and I was like, “Hey, can we have some kind of science curriculum? ‘Cause I got nothing.” And it’s not hard to look at the state standards and figure out what you need to teach them, but having no resources to go off of is extremely difficult. And luckily I have an older brother, he’s like three years older than me and he’s also a teacher. He actually is a science teacher. ‘Cause that first year that I was teaching all subjects, I was like, “Hey Ryan, can you just like send me all of your Google Drive files for science <laugh>?

Lauran Woolley (03:33):

And he’s like, “Yeah, sure.” So he kind of was like a mentor for like the first year that I taught science. And this year being my second full year teaching science, I feel much more confident. I’m still using his resources. We don’t have a dedicated curriculum at my school. So that’s like one thing I’ve been fighting my school on. And not that they don’t wanna get us one, but like they were focused on getting the math curriculum last year. And then I was told, okay, this year will be science because in my state, fifth grade is a tested area for science and we have no curriculum.

Eric Cross (04:04):

Ryan, keep doing what you’re doing big bro. Second, thank you to every teacher who’s had a Google Drive folder full of curriculum that you graciously shared to a new teacher or someone else that they could have.

Lauran Woolley (04:18):

Can we just say like, can schools, like schools, please get your teacher’s science curriculums.

Eric Cross (04:24):

No, absolutely right. And there is this way of thinking that, especially as a science teacher, it’s something that is dear to my heart, but we do want to develop these math and English skills that’s important and we need that for science. But we’ve always taught so siloed for so long, but that’s not the way that we learn and that’s not the way life works. Something that intrigued me about what you said, and I think a lot of people can relate to it, and I know I can because that was me, is you created your own content or your science content. Like you’re kind of piecing that together from what Ryan had shared with you. How do you make time for that with all of the other things that you’re doing and pressures of state testing and things like that. Like how do you weave that into your teaching?

Lauran Woolley (05:02):

So we have like things that are non-negotiable in our schedules. Like we have to have so many minutes of this, so many minutes of that, so many minutes of whatever else. Well, the first year, I was self-contained. I was like, okay, my main goal, because science is a tested area, I wanna make sure that I get in science every single day, 90% of the time I’m able to get anywhere from 30 to 45 minutes of science every day. But this year it was my goal to make sure that I was getting science done and like we were doing meaningful lessons. And last year I didn’t do this, but this year I’m doing a Christmas center for STEM. So I got it off of Teachers Pay Teachers. I’m sorry, I can’t remember who it was made by, but it’s called Jingle All the Way and it’s like building Santa’s new sleigh. And so like the kids have an activity where they have popsicle sticks, straws, a plastic cup and then like tape. And they have to build a new sleigh for Santa and see how many pennies their sleigh can hold. Like talk about a sleigh being lightweight but also strong and like what would make it strong and different things like that. So I’ve been trying to incorporate a lot more STEM activities. And then something I really like to use for experiment days, I call them lab days, is Gizmo. Have you heard of Gizmo?

Eric Cross (06:15):

Yeah. The simulations.

Lauran Woolley (06:16):

Yeah. My brother showed me that too and he was using it in his class. I mean there’s so many different ones that they have that align with the standards and they have like student lab sheets that go with them and teacher guides and stuff. I’ve just been trying to like up my game a little bit more this year, because last year I was like struggling to get all of the standards in before state testing came around because, can we agree, state testing should not be as early as it is? Our state test happens in like March and we have two months of school left. So like, we better be done with standards by February so we could review, because otherwise we’re kind of outta luck because we run outta time.

Eric Cross (06:59):

Yes. That and there’s all kinds of other things that state testing brings with it that we could spend a lot of time probably critiquing and talking about like as far as what’s ideal for kids and what’s the best way to measure and assess learning. That is one question I wanna ask you though, because I know with your work on TikTok and Instagram and YouTube, you must be connected to a pretty vast teacher network and maybe you have like, kinda like more of an inner circle of people, but you must come across so many different perspectives and get into great discussions. Is there <laugh>, is there anything that kind of stands out to you as far as if you were in charge of what we’re doing? Because that’s kind of the system that we all live in and we kind of are trying to internally change it, but it’s been that way for a long time and we just kind of have to work within it until we can make changes. But if you were to, I dunno from an elementary school perspective, change or modify the way kids are learning, what would you do if you had Monarch ability?

Lauran Woolley (07:54):

Okay, I got three main things I’m thinking in my head. Okay, first things first, we got Maslow’s hierarchy of needs. Okay. If kids are coming to school hungry, if they’re coming to school and don’t have, you know, fresh clothing to put on, if they’re coming to school and they have issues at home that they are dealing with, that they are not okay with, the learning is not happening. That’s secondary. They don’t, it doesn’t matter to them. It doesn’t matter to me because what’s most important is that child as a human being and whether or not they’re okay. If I had unlimited resources, I would love to be able to build like a little mini village inside a school and have like a clothing store that kids could grab stuff from. Or like a, you know how I know how school have like closets and food pantries, but like a real place they could get some new clothes, not like hand-me-down clothes, like a store they could go and grab some food if they needed food for their homes or whatever. We have like an onsite counselor but not like a school counselor, like a therapist-type counselor for like mental health. Having some kind of like health clinic, not just like a school nurse because, let’s be real, our school nurses see everything <laugh> and they do not get enough credit, but like to have like a little like urgent care clinic, like basically a small town <laugh> inside a school that like kids would have all of the resources that they need met. Like that would be my number one thing that I would love to do. I have taught in, you know, I’ve only taught in two different schools, but like I’ve seen a lot of things and the number one thing that keeps coming back is just like home lives and mental health and having someone to talk to.

Lauran Woolley (09:41):

And I think our kids don’t have enough of that. Second of all, would be obviously state testing. Because I mean, it’s good to see like where our kids are at. I don’t think it should be used punitively and I don’t think that it should be putting as much pressure on teachers and students the way that it is. It’s not effective that way at all. Let teachers do their jobs without us having to, like, ’cause honestly, who’s not gonna say that they’re not trying to set their students up to do the best on that test. Our evaluation depends on it. I’m gonna make sure my students are prepared for it. I’m gonna teach all the standards, but like, I shouldn’t have to be teaching so that they could do well on a test. I wanna make sure that they’re ready for the real world and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test. Third of all, <laugh>.

Eric Cross (10:33):

This, this is great. And I think a lot of teachers will listen and be like, “That’s what I’m talking about right there.” Keep going. You’re on three.

Lauran Woolley (10:40):

That would be two teachers in every classroom. Either two teachers in each room or like a teacher and a paraprofessional in each room, because there’s not even an argument that teachers are more effective when they have help.

Eric Cross (10:54):

I would even carry the math on further and say that it’s a force multiplier, like exponentially, that it’s not just, it’s not just like a one plus one equals two teachers. It’s almost like you can almost have like three or four just because of the energy and the synergy that can be created between the two. And you can push off of each other, encourage one another and both support different types of students. So I agree a hundred percent. I think that if you had two teachers that were in sync and planning together and talking about kids all of the time, you would be able to go deeper with students. You’d be able to find out those things that you talked about in Maslow’s because sometimes we don’t find out about it until a parent-teacher conference or kids left our classroom. I wish I would’ve known that. The student was without these things in the very beginning.

Lauran Woolley (11:41):

Absolutely. Mm-hmm.

Eric Cross (11:42):

So when do you start in the school and do we go on LinkedIn to sign up and apply or is it like a lottery system? Like, ’cause you know, I was gonna get a lot of attention.

Lauran Woolley (11:52):

I would love to Oprah Winfrey this and like build my own school <laugh>.

Eric Cross (11:56):

We gotta get those followers up. We gotta build up the sponsorships. We gotta get you up to a hundred million.

Lauran Woolley (12:01):

Listen, if all of my followers across all my platforms donated like $2, we could have $12 million to build a school. <laugh>.

Eric Cross (12:10):

Think about like, DonorsChoose, right? People do that. And I know there’s mixed feelings about it because we need stuff in our classroom. I’m just gonna say that. All right. So, whether I have to ask for it on a website or whatever, but people want to give directly to kids, or people who need it. And I think when there’s opportunities like that, that are visible, people are more likely to want to.

Lauran Woolley (12:29):

In reality, should other people have to fund education in classrooms? No. That’s literally what your taxes are for. A government-funded classroom versus a teacher-funded classroom are two different things. And we know that. But if teachers are asking for things or asking for donations on Amazon or on DonorsChoose, just know in your heart that that teacher has probably already shelled out a lot of their own cash to do that. It’s not that they’re, you know, asking for handouts or anything like that. They’re trying to give their students the best that they can and that’s the thought process behind it. And until we get changes in our education system or changes in legislature that will allow us to do that or will allow classroom budgets, I mean, our hands are tied. Like there’s only so much teachers can do. I’m very fortunate to teach in a district that sees the value in spending money on their teachers and students. And, like my school, like I said, they just shelled out thousands of dollars on a new math curriculum. They bought school supplies. Literally every teacher made their school supply list this year. And then the district went in and paid for every single student’s school supplies in the entire district.

Eric Cross (13:49):

Can we get a shout out to your district real quick?

Lauran Woolley (13:51):

Uh, yeah. I mean, shout out Leetonia schools like, I mean, you guys are awesome and I’ll shout that from the rooftops. I love where I teach. Like I really do think that they value our students and they care about our students and our admin is great. We got a new superintendent a couple years ago. He’s been doing a phenomenal job and I really love it and I’m glad I teach there.

Eric Cross (14:12):

When you move out of the classroom, you know, in any position of leadership, you do have the microscope or magnifying glass on you and a lot of times it’s critical. And not unjustifiably so, I mean, there’s a lot of things that can be critiqued. However, what we don’t always hear is the success stories or where it’s working for teachers and why. And we need leaders to be able to talk to each other and find, “Hey, it’s working in your district? Oh, I just heard, I just heard this district get shot out. I’m gonna go reach out to those people. Hey, what are you doing?” Because we connect with each other, but I think when you go like a level up, that kind of getting up the top of the mountain, the, the connection sometimes can become more difficult for people. There’s not a lot of, I don’t know, maybe there are, but admin influencers.

Lauran Woolley (14:54):

Oh yeah, there definitely are. And I’ve met some really incredible ones. I’m on a committee at my school, it’s called NNPS, it’s the National Network of Partnership Schools. It was started out of Ohio State University. Essentially it is a committee in the school that’s dedicated to bringing together the community and businesses and partnering with people to make our school as strong as it can be. We started last year and we did a bear breakfast, ’cause our mascot is a bear. And we had Christmas things and we had the choir caroling, and we had pancake breakfast for everybody and it was completely free. It was just really nice to see everybody come together. And it feels like the culture changes when people work together and come together for the betterment of the school and for the students. And I think what’s challenging is that so many people have such a negative experience from their schooling that they’re hesitant to get involved in their kids’ schooling. I urge any parents out there, any guardians out there that are, you know, in that mindset where you’re like, I didn’t like my teachers in school, or I had this, this, this and happened to me at school. Give it a chance to know that things have changed and things are changing.

Eric Cross (16:11):

I definitely agree with you about parent engagement and getting involved and sometimes parents, they just don’t know that they should. But wow, your voice is so powerful, especially at board meetings and things like that. Getting stakeholders involved, creating community, which it sounds like your school did a great job or your district did a great job of. The last question I wanna ask you, and it’s kind of going back to who your influencer was, is you now are in a position where your impact exceeds more than, you know. You’re planting so many seeds you’re sharing, and you’ll hear maybe a few, or I’m sure you’ll hear the things that kind of come back to you, but that’s only a fraction. But I wanted to ask you, like, as you think back on your career as an educator or when you were in school K through five or K through 12, is there anyone who stands out to you or who was maybe your influencer or teacher who made a big difference that was memorable? And if so, who was it and what was it about them or what did they do?

Lauran Woolley (17:01):

So I had a lot of teachers that I really had good relationships with and I loved school growing up. But one always stood out in particular, and that was my ninth grade English teacher and her name is Andrea Reid. She was the first person who really told me that I was talented at something and that I could succeed in something because she was the English teacher. She was also a coach of the speech and debate team at my high school. Just one day after school. She was like, “Hey, like you should come to speech tryouts.” So I went to tryouts, like I did it not thinking like I cared if I made it or didn’t, and then I made the team. And honestly, I feel like speech was the starting point of all of it. I competed in speech and debate for four years of high school and she was my coach.

Lauran Woolley (17:49):

I always have horrible nervousness with public speaking, even though I do it a lot. And she would always give me like the best hype speeches and the best confidence boosters. And I feel like speech started my love of acting and started my love of like, you know, comedy and stuff like that. And so therefore TikTok happened and I don’t think any of this would’ve happened had it not been for her and her opening that door for me and telling me, “Hey, you would be good at this. You should try it.” We’re still friends to this day, 15 years later, and she is like an older sister to me and I love it.

Eric Cross (18:26):

That’s amazing. Andrea Reed, that’s her name.

Lauran Woolley (18:28):

Andrea, yep.

Eric Cross (18:29):

Andrea. Andrea Reid. Ms. Reid, thank you, for inspiring Lauran and <laugh> because of your impact, now it’s impacting so many others and as teachers, like, we don’t even, we don’t know, but it’s so humbling to know that like the words that we say to people have that impact and power. It’s so, it’s, it’s so inspiring to me. One of the things that resonate with you so much is your transparency. Like in your depth. Like even as just listening to you talk, you normalize and humanize so many things that we experience and I’m sure that’s what a lot of the people that watch you connect with. You show your life, your family, your house, all these things that are happening. And I was just looking through the comments and there’s just so many people that are warmed. Not just your students, but like so many teachers. So thank you for doing what you’re doing and I wish you tremendous success. Thank you for your time.

Lauran Woolley (19:17):

No, thank you so much for having me. This was awesome. I just wish everybody a great school year and I hope that we all make it through winter break. <laugh>.

Eric Cross (19:27):

Thanks so much for listening to this season of Science Connections. I love learning about science educators just like you. You can nominate educators that inspire you to become a future guest on Science Connections by emailing STEM@amplify.com. That’s S T E M at amplifycom.wpengine.com. Make sure to click subscribe wherever you listen to podcasts and tune in for a brand new season of Science Connections coming soon.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Lauran Woolley says about science

“I want to make sure they’re ready for the real world and I want to make sure they’re ready to apply these things I’m teaching them in their life, not just on a multiple choice test.”

– Lauran Woolley

5th Grade Teacher, Northeast Ohio

Meet the guest

Lauran Woolley is a fifth grade teacher in Northeast Ohio. She has loved being able to combine her love of education and entertainment into one career. Her goal is not only to humanize educators to both families and students, but to create a safe space for her students on the internet. She has had the privilege of collaborating with educators around the world to shed a light on this amazing career. You can listen and watch the Teachers Off Duty podcast here!

A woman with long dark hair smiles at the camera, wearing a black top and lanyard, with a colorful blurred background.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.