Grade 6

Module 1: Ratios and Unit Rates

Eureka Math	Desmos 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 Ratios	Unit 2 Lesson 6: Product Prices (Print available) Lesson 7: Mixing Paint, Part 1
Lesson 10: The Structure of Ratio Tables-Additive and Multiplicative	Unit 2 Lesson 10: Balloons Lesson 11: Community Life (Print available)
Lesson 11: Comparing Ratios Using Ratio Tables	Unit 2 Lesson 10: Balloons
Lesson 12: From Ratio Tables to Double Number Line Diagrams	Unit 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 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
Lesson 17: From Rates to Ratios
Lesson 18: Finding a Rate by Dividing Two Quantities	Unit 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 100	Unit 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 Numbers	Unit 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 Decimals	Unit 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 Decimals	Unit 5 Lesson 5: Decimal Multiplication Lesson 6: Multiplying with Areas Lesson 7: Multiplication Methods (Print available)
Lesson 11: Fraction Multiplication and the Products of Decimals	Unit 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 Algorithm	Unit 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 Factor	Unit 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 Value	Unit 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 Search Lesson 10: The A-maze-ing Coordinate Plane Lesson 11: Polygon Maker
Lesson 16: Symmetry in the Coordinate Plane.
Lesson 17: Drawing the Coordinate Plane and Points on the Plane	Lesson 10: The A-maze-ing Coordinate Plane
Lesson 18: Distance on the Coordinate Plane	Unit 7Lesson 11: Polygon Maker
Lesson 19: Problem Solving and the Coordinate Plane	Unit 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: Exponents	Unit 6Lesson 10: Powers Lesson 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 Tiles Lesson 12: Squares and Cubes
Topic D Expanding, Factoring, and Distributing Expressions
Lesson 9: Writing Addition and Subtraction Expressions	Unit 6Lesson 6: Vari-apples Lesson 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-apples Lesson 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 Tiles Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences Lesson 12: Squares and Cubes
Lesson 22: Writing and Evaluating Expressions—Exponents	Unit 6Lesson 10: Powers Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes Practice 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 True	Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations
Lesson 26: One-Step Equations—Addition and Subtraction	Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations Lesson 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 Around Lesson 4: Hanging It Up Lesson 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 Around Lesson 4: Hanging It Up Lesson 5: Swap and Solve Practice 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 Weights Lesson 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 Facts	Unit 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 Parallelograms Lesson 7: Off the Grid, Part 2
Lesson 4: The Area of All Triangles Using Height and Base	Unit 1Lesson 6: Triangles and Parallelograms Lesson 7: Off the Grid, Part 2
Lesson 5: The Area of Polygons Through Composition and Decomposition	Unit 1Lesson 2: Letters Lesson 8: Pile of Polygons Practice Day 1 (Print available)
Lesson 6: Area in the Real World
Topic B Polygons on the Coordinate Plane
Lesson 7: Distance on the Coordinate Plane	Unit 1Lesson 8: Pile of Polygons
Lesson 8: Drawing Polygons in the Coordinate Plane	Unit 7Lesson 11: Polygon Maker
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate Plane	Unit 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 Cubes	Unit 4Lesson 11: Classroom Comparisons Lesson 12: Puzzling Areas (Print available) [Free lesson]Lesson 13: Volume Challenges Lesson 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 World	Unit 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 Polyhedra Lesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)
Lesson 18: Determining Surface Area of Three-Dimensional Figures	Unit 1Lesson 9: Renata´s Stickers [Free lesson]Lesson 10: Plenty of Polyhedra Lesson 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 Base	Unit 1Lesson 5 Exploring Triangles Lesson 6 Triangles and Parallelograms Lesson 7 Off the Grid, Part 2

Module 6: Statistics

Topic A Understanding Distributions
Lesson 1: Posing Statistical Questions	Unit 8 Lesson 1: Screen Time Lesson 2: Dot Plots
Lesson 2: Displaying a Data Distribution Lesson 3: Creating a Dot Plot	Unit 8 Lesson 2: Dot Plots Lesson 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 Distribution	Unit 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 1 Practice 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 Median	Unit 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 Plots	Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2 Lesson 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 Summaries	Unit 8Lesson 5: The Plot Thickens [Free lesson]
Lesson 19: Comparing Data Distributions	Unit 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 Plot	Unit 8Lesson 2 Dot Plots Lesson 3 Minimum Wage [Free lesson]Lesson 4 Lots More Dots

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka Math	Desmos Math 6–A1
Topic A Proportional Relationships
Lesson 1: An Experience in Relationships as Measuring Rate	Unit 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 Relationships	Unit 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 Proportionality	Unit 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 Relationships	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 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 Quantity	Unit 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 Fractions	Unit 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 Rates	Unit 1 Lesson 1: Scaling Machines [Free lesson]
Lesson 17: The Unit Rate as the Scale Factor	Unit 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 Drawing	Unit 1 Lesson 6: Introducing Scale Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 19: Computing Actual Areas from a Scale Drawing	Unit 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 Zero	Unit 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 Numbers	Unit 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 Integers	Unit 5 Lesson 8: Speeding Turtles
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions
Lesson 14: Converting Rational Numbers to Decimals Using Long Division	Unit 4 Lesson 13: Decimal Deep Dive (Print available)
Lesson 15: Multiplication and Division of Rational Numbers	Unit 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 Solutions	Unit 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 Machines Lesson 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 Receipts Lesson 6: Balancing Equations Lesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding Lesson 9: Always-Equal Machines Lesson 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 Equations	Unit 6Lesson 2: Smudged Receipts Lesson 5: Balancing Moves Lesson 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 Receipts Lesson 6: Balancing Equations Lesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal Machines Lesson 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 Equations	Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams Lesson 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 Hangers Lesson 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 Inequalities	Unit 6Lesson 13: I Saw the Signs Practice Day 2 (Print available)
Topic C Use Equations and Inequalities to Solve Geometry Problems
Lesson 16: The Most Famous Ratio of All	Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 17: The Area of a Circle	Unit 3Lesson 5: Area Strategies Lesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. Square Practice Day 2 (Print available)
Lesson 18: More Problems on Area and Circumference	Unit 3Lesson 4: Perimeter Challenges Lesson 5: Area Strategies Lesson 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 Challenges Practice 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 Prisms Lesson 11: More Complicated Prisms Lesson 12: Surface Area Strategies (Print Available)Lesson 13: Popcorn Possibilities Practice Day 2 (Print available)
Lesson 25: Volume and Surface Area Lesson 26: Volume and Surface Area	Unit 7Lesson 13: Popcorn Possibilities Practice Day 2

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole
Lesson 1: Percent	Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 2: Part of a Whole as a Percent	Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)
Lesson 3: Comparing Quantities with Percent	Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 4: Percent Increase and Decrease	Unit 4Lesson 4: More and Less Lesson 5: All the Equations Lesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]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]
Lesson 5: Finding One Hundred Percent Given Another Percent
Lesson 6: Fluency with Percents	Unit 4Lesson 7: Percent machines [Free lesson]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]
Topic B Percent Problems Including More Than One Whole
Lesson 7: Markup and Markdown Problems	Unit 4Lesson 7: Percent machines [Free lesson]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]
Lesson 8: Percent Error Problems Lesson 9: Problem Solving When the Percent Changes	Unit 4Lesson 4: More and Less Lesson 5: All the Equations Lesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]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]
Lesson 10: Simple Interest
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent Applications	Unit 4Lesson 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]Practice Day (Print available)
Topic C Scale Drawings
Lesson 12: The Scale Factor as a Percent for a Scale Drawing
Lesson 13: Changing Scales	Unit 1Lesson 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)Practice Day 1 (Print available)Practice Day 2 (Print available) Unit 3Lesson 1 Toothpicks
Lesson 14: Computing Actual Lengths from a Scale Drawing	Unit 1Lesson 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 3Lesson 1: Toothpicks
Lesson 15: Solving Area Problems Using Scale Drawings	Unit 1Lesson 5: Tiles
Topic D Population, Mixture, and Counting Problems Involving Percents
Lesson 16: Population Problems	Unit 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 Experiments	Unit 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 Bag Lesson 4: Spin Class Lesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: Chance Experiments with Outcomes That Are Not Equally Likely	Unit 8Lesson 4: Spin Class Lesson 5: Is It Fair?Lesson 6: Fair Games Lesson 7: Weather or Not
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities	Unit 8Lesson 6: Fair Games Lesson 7: Weather or Not
Lesson 7: Calculating Probabilities of Compound Events	Unit 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 Games Lesson 7: Weather or Not Lesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Conducting a Simulation to Estimate the Probability of an Event	Unit 8Lesson 7: Weather or Not Lesson 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 Not Lesson 8: Simulate It! (Print available)
Topic C Random Sampling and Estimating Population Characteristics
Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population	Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines Lesson 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 Variability	Unit 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 Samples Lesson 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 Samples Lesson 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 Samples Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Module 6: Geometry

Topic A Unknown Angles
Lesson 1: Complementary and Supplementary Angles	Unit 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: Pinwheels Lesson 2: Friendly Angles Lesson 3: Angle Diagrams Lesson 4: Missing Measures (Print available) [Free lesson]
Topic B Constructing Triangles
Lesson 5: Identical Triangles	Unit 7Lesson 6: Is It Enough?Lesson 7: More Than One
Lesson 6: Drawing Geometric Shapes	Unit 7Lesson 6: Is It Enough?Lesson 7: More Than One Lesson 8: Can You Draw It? (Print available)
Lesson 7: Drawing Parallelograms
Lesson 8: Drawing Triangles	Unit 7Lesson 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 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 Triangle	Unit 7Lesson 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: 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 One Practice 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 Problems	Unit 3Lesson 5: Area Strategies
Lesson 21: Mathematical Area Problems	Unit 3Lesson 5: Area Strategies Lesson 6: Radius Squares (Print available)
Lesson 22: Area Problems with Circular Regions	Unit 3Lesson 5: Area Strategies Lesson 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 Prisms	Unit 7Lesson 10: Simple Prisms Lesson 11: More Complicated Prisms Lesson 13: Popcorn Possibilities
Lesson 26: Volume of Composite Three-Dimensional Objects	Unit 7Lesson 11: More Complicated Prisms
Lesson 27: Real-World Volume Problems	Unit 7Lesson 13: Popcorn Possibilities

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka Math	Desmos Math 6–A1
Topic A Exponential Notation and Properties of Integer Exponents
Lesson 1: Exponential Notation	Unit 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 Exponents Lesson 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 Exponents Lesson 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: Magnitude	Unit 7 Lesson 7 Scales and Weights
Lesson 8: Estimating Quantities	Unit 7 Lesson 7: Scales and Weights Lesson 8: Point Zapper Lesson 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 Notation	Unit 7 Lesson 13: Star Power
Lesson 12: Choice of Unit
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology	Unit 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 Lines	Unit 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 Golf Lesson 6: Connecting the Dots [Free lesson]
Lesson 9: Sequencing Rotations Lesson 10: Sequences of Rigid Motions	Unit 1Lesson 3: Transformation Golf Lesson 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 Properties	Unit 1 Lesson 7: Are They the Same?Lesson 8: No Bending, No Stretching Lesson 9: Are They Congruent?Practice Day
Lesson 12: Angles Associated with Parallel Lines	Unit 1 Lesson 10: Transforming Angles
Lesson 13: Angle Sum of a Triangle	Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 14: More on the Angles of a Triangle	Unit 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 Theorem	Unit 8Lesson 7: Pictures to Prove It
Lesson 16: Applications of the Pythagorean Theorem	Unit 8Lesson 10: Taco Truck Practice 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 Dilation Lesson 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 Dilations Lesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 6: Dilations on the Coordinate Plane	Unit 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 Dilations Lesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 10: Informal Proof of AA Criterion for Similarity	Unit 2Lesson 7: Are Angles Enough?
Lesson 11: More About Similar Triangles	Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 12: Modeling Using Similarity	Unit 2Lesson 8: Shadows Lesson 9: Water Slide Lesson 10: Points on a Plane Practice Day
Topic C The Pythagorean Theorem
Lesson 13: Proof of the Pythagorean Theorem	Unit 8Lesson 6: The Pythagorean Theorem Lesson 7: Pictures to Prove It Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 14: The Converse of the Pythagorean Theorem	Unit 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 x	Unit 4Lesson 3: Balanced Moves Lesson 4: More Balanced Moves (Print available)
Lesson 4: Solving a Linear Equation	Unit 4Lesson 3: Balanced Moves Lesson 4: More Balanced Moves Lesson 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 Equations	Unit 3Lesson 1: Turtle Time Trials Unit 4Lesson 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 6: Solutions of a Linear Equation	Unit 3Lesson 10: Solutions Unit 4Lesson 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: Classification of Solutions	Unit 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 Graphs	Unit 3Lesson 2: Water Tank Lesson 3: Posters Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 10: A Critical Look at Proportional Relationships	Unit 3Lesson 1: Turtle Time Trials [Free lesson]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 11: Constant Rate	Unit 2Lesson 9: Water Slide Lesson 10: Points on a Plane Practice Day Unit 3Lesson 3: Posters Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 12: Linear Equations in Two Variables	Unit 3Lesson 3: Posters Lesson 6: Translations Unit 4Lesson 3: Balanced Moves Lesson 4: More Balanced Moves (Print available)
Lesson 13: The Graph of a Linear Equation in Two Variables	Unit 3 Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations Lesson 7: Water Cooler Lesson 10: Solutions Lesson 11: Pennies and Quarters
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical Lines	Unit 3 Lesson 9: Coin Capture Practice Day [Free lesson]
Topic C Slope and Equations of Lines
Lesson 15: The Slope of a Non-Vertical Line	Unit 3Lesson 5: Flags [Free lesson]Lesson 6: Translations Lesson 7: Water Cooler Lesson 8: Landing Planes
Lesson 16: The Computation of the Slope of a Non-Vertical Line	Unit 3Lesson 7: Water Cooler Lesson 8: Landing Planes
Lesson 17: The Line Joining Two Distinct Points of the Graph 𝑦 = 𝑚x + 𝑏 Has Slope m	Unit 3Lesson 7: Water Cooler
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given Slope	Unit 3Lesson 5: Flags [Free lesson]Lesson 7: Water Cooler
Lesson 19: The Graph of a Linear Equation in Two Variables Is a Line	Unit 3Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 20: Every Line Is a Graph of a Linear Equation	Unit 3Lesson 3: Posters Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 21: Some Facts About Graphs of Linear Equations in Two Variables	Unit 3Lesson 3: Posters Lesson 6: Translations Practice Day
Lesson 22: Constant Rates Revisited	Unit 2Lesson 9: Water Slide Lesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Lesson 3: Posters
Lesson 23: The Defining Equation of a Line	Unit 3Lesson 10: Solutions Lesson 11: Pennies and Quarters
Topic D Systems of Linear Equations and Their Solutions
Lesson 24: Introduction to Simultaneous Equations	Unit 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 System	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 13: All, Some, or None? Part 2 Practice Day 2 (Print available)
Lesson 26: Characterization of Parallel Lines	Unit 3 Lesson 6: Translations
Lesson 27: Nature of Solutions of a System of Linear Equations	Unit 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 Function	Unit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Formal Definition of a Function	Unit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson] Lesson 3: Function or Not?
Lesson 3: Linear Functions and Proportionality	Unit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window Frames
Lesson 4: More Examples of Functions	Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 5: Graphs of Functions and Equations	Unit 5Lesson 4: Window Frames 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 6: Graphs of Linear Functions and Rate of Change	Unit 2Lesson 9: Water Slide Lesson 10: Points on a Plane Unit 3Lesson 4: Stacking Cups Lesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 7: Comparing Linear Functions and Graphs	Unit 5Lesson 3: Posters Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing Stories Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Graphs of Simple Nonlinear Functions
Topic B Volume
Lesson 9: Examples of Functions from Geometry	Unit 8Lesson 1: Tilted Squares Lesson 2: From Squares to Roots
Lesson 10: Volumes of Familiar Solids—Cones and Cylinders	Unit 5Lesson 10: Volume Lab Lesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders Lesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 11: Volume of a Sphere	Unit 5 Lesson 15: Spheres Practice Day 2 (Print available)

Module 6: Linear Functions

Topic A Linear Functions
Lesson 1: Modeling Linear Relationships	Unit 5 Lesson 6: Graphing Stories Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 2: Interpreting Rate of Change and Initial Value	Unit 2Lesson 9: Water Slide Lesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Lesson 3: Posters Lesson 4: Stacking Cups
Lesson 3: Representations of a Line	Unit 5Lesson 6: Graphing Stories Lesson 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 Battle Lesson 2: Wing Span Lesson 3: Robots [Free lesson]Practice Day 1 (Print available) [Free lesson]
Lesson 8: Informally Fitting a Line	Unit 6 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 Practice 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 Frames Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesUnit 6 Lesson 6: Interpreting Slopes Lesson 8: Animal Brains Practice 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 Table	Unit 6 Lesson 9: Tasty Fruit
Lesson 14: Association Between Categorical Variables	Unit 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 Theorem	Unit 8 Lesson 6: The Pythagorean Theorem
Lesson 2: Square Roots	Unit 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 Roots	Unit 8 Lesson 5: Filling Cubes
Lesson 4: Simplifying Square Roots	Unit 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 Numbers	Unit 8 Lesson 14: Hit the Target
Lesson 14: Decimal Expansion of π
Topic C The Pythagorean Theorem
Lesson 15: Pythagorean Theorem, Revisited	Unit 8 Lesson 6: The Pythagorean Theorem Lesson 7: Pictures to Prove It
Lesson 16: Converse of the Pythagorean Theorem	Unit 8 Lesson 9: Make It Right
Lesson 17: Distance on the Coordinate Plane	Unit 8 Lesson 11: Pond Hopper
Lesson 18: Applications of the Pythagorean Theorem	Unit 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

Grade 6

Chapter 2: Fractions and Decimals

Big Ideas	Amplify Classroom
Lesson 2: Dividing Fractions	Unit 4 Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting Decimals	Unit 5 Lesson 1: Dishing Out Decimals Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying Decimals	Unit 5 Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole Numbers	Unit 5 Lesson 13: Movie Time
Lesson 7: Dividing Decimals	Unit 5 Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: Ratios	Unit 2 Lesson 1: Pizza Maker Lesson 4: Fruit Lab Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio Tables	Unit 2 Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio Relationships	Unit 2 Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit Rates	Unit 3 Lesson 6: Soft Serve
Lesson 6: Converting Measures	Unit 3 Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and Fractions	Unit 3 Lesson 9: Lucky Duckies
Lesson 2: Percent and Decimals	Unit 5 Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing Expressions	Unit 6 Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and Multiplication	Unit 6 Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive Property	Unit 6 Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One Variable

Unit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

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

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

Lesson 1: Integers	Unit 7 Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering Integers	Unit 7 Lesson 4: Order in the Class
Lesson 3: Rational Numbers	Unit 7 Lesson 4: Order in the Class
Lesson 7: Writing and Graphing Inequalities	Unit 7 Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to Statistics	Unit 8 Lesson 3: Minimum Wage
Lesson 2: Mean	Unit 8 Lesson 11: Toy Cars
Lesson 3: Measures of Center	Unit 8 Lesson 11: Toy Cars
Lesson 4: Measures of Variation	Unit 8 Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: Histograms	Unit 8 Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate Measures	Unit 8 Lesson 3: Minimum Wage Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big Ideas	Amplify Classroom
Lesson 1: Rational Numbers	Unit 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 Integers

Unit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic Expressions	Unit 6 Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear Expressions	Unit 6 Lesson 10: Collect the Squares
Lesson 3: The Distributive Property	Unit 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 Inequalities	Unit 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 Inequalities	Unit 6 Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

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

Chapter 6: Percents

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

Chapter 7: Probability

Lesson 1: Probability

Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Chapter 8: Statistics

Lesson 1: Samples and Populations	Unit 8 Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populations	Unit 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 Circumference	Unit 3 Lesson 3: Measuring Around
Lesson 2: Areas of Circles	Unit 3 Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle Measures	Unit 7 Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideas	Amplify Classroom
Lesson 2: Solving Multi-Step Equations	Unit 4 Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both Sides	Unit 4 Lesson 5: Equation Roundtable

Chapter 2: Transformations

Lesson 1: Translations	Unit 1 Lesson 1: Transformers Lesson 2: Spinning, Flipping, Sliding Lesson 4: Moving Day
Lesson 2: Reflections	Unit 1 Lesson 1: Transformers Lesson 2: Spinning, Flipping, Sliding Lesson 4: Moving Day
Lesson 3: Rotations	Unit 1 Lesson 1: Transformers Lesson 2: Spinning, Flipping, Sliding Lesson 4: Moving Day Lesson 13: Tessellate
Lesson 5: Dilations	Unit 2 Lesson 1: Sketchy Dilations Lesson 2: Dilation Mini Golf
Lesson 6: Similar Figures	Unit 2 Lesson 6: Social Scavenger Hunt

Chapter 3: Angles and Triangles

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

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear Equations	Unit 3 Lesson 4: Flags
Lesson 2: Slope of a Line	Unit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional Relationships	Unit 3 Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept Form	Unit 3 Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by Graphing

Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter Plots	Unit 6 Lesson 3: Robots
Lesson 2: Lines of Fit	Unit 6 Lesson 4: Dapper Cats
Lesson 3: Two-Way Tables	Unit 6 Lesson 11: Finding Associations

Chapter 7: Functions

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

Chapter 8: Exponents and Scientific Notation

Lesson 1: Exponents	Unit 7 Lesson 3: Power Pairs
Lesson 2: Products of Powers Property	Unit 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 Roots	Unit 8 Lesson 4: Root Down
Lesson 3: Finding Cube Roots	Unit 8 Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of Cylinders	Unit 5 Lesson 11: Cylinders
Lesson 2: Volumes of Cones	Unit 5 Lesson 13: Cones

Algebra 1

Launch

Visual Patterns

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple Equations	Working Backwards
Lesson 1.3: Solving Equations with Variables on Both Sides	Solving Strategies Same Position
Lesson 1.5: Rewriting Equations and Formulas	Subway Seats Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step Inequalities

Pizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear Functions	Shelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept Form	Five Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of Fit	Correlation Coefficient How Hot Is It? City Slopes
Lesson 4.5: Analyzing Lines of Fit	Penguin Populations Behind the Headlines City Data Residual Fruit
Lesson 4.6: Arithmetic Sequences	More Visual Patterns Sequence Carnival
Lesson 4.7: Piecewise Functions	Pumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by Substitution	Shape It Up
Lesson 5.4: Solving Special Systems of Linear Equations	Lizard Lines
Lesson 5.7: Systems of Linear Inequalities	Quilts Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential Functions	Carlos’s Fi s h
Lesson 6.6: Geometric Sequences	More Visual Patterns Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by Substitution	Craft-a-Graph Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear Equations	On the Fence Stomp Rockets Plenty of Parabolas Robot Launch
Lesson 8.5: Systems of Linear Inequalities	Parabola Zapper Two for One Shooting Stars
Lesson 8.6: Systems of Linear Inequalities	Plane, 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 Square	Square Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic Formula	Stomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a Function

Chip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and Variation

Finding 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.

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

Sub-Unit 1 – Generating Equivalent Ratios
Sub-Unit 2 – Comparing Ratios
Sub-Unit 3 – Applying Part-Part-Whole Relationships

Unit 3

Sub-Unit 1 – Converting Measurements
Sub-Unit 2 – Calculating Unit Rates
Sub-Unit 3 – Calculating Unknown Percentages

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

Sub-Unit 1 – Calculating Percentages
Sub-Unit 2 – Finding Sales Tax and Tip
Sub-Unit 3 – Applying Fractions in Proportional Relationships

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

Sub-Unit 1 – Multiplying Powers
Sub-Unit 2 – Writing Numbers in Scientific Notation

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.

Amplify Desmos Math

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.

Join us!

Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

March 2–4

The US Grant Hotel, San Diego

About the event

Join us for two days of interactive and inspirational talks with math education leaders from around the country to discuss where math education is headed. Meet like-minded K–12 leaders as well as change-makers from major universities, EdTech companies, and professional learning organizations dedicated to improving teacher experiences and student outcomes in mathematics.

We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

What to expect:

Two full days of keynote and breakout sessions covering a variety of K–12 math topics
Sessions led by district leaders sharing their work to raise math achievement
Evening networking events
Engaging speakers with a variety of expertise
Insights you can put to use in your district immediately

Aerial view of a city skyline with tall buildings along a waterfront, under a blue sky with scattered clouds.

Meet a few of our speakers

Use this version when there are multiple presenters.

Jason Zimba

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Sunil Singh

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Christina Lincoln-Moore

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Meet our featured presenter

Use this version when there is only one presenter, rather than many.

A woman with curly blonde hair wearing a white blouse is shown next to a book titled "The Knowledge Gap" with a colorful background.

Natalie Wexler

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce. Convallis posuere morbi leo urna molestie. In metus vulputate eu scelerisque felis imperdiet proin fermentum leo.

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

Event agenda

Monday, March 2

Arrivals

Pre-conference workshop featuring Chris Weber and Patrick Callahan

Sessions begin at 1 p.m. Pacific and include:

Adult and Student Mindsets and Math Supports
Enhanced Mathematics

3:00 p.m. Hotel check-in available

6:00 p.m. Welcome reception and dinner

Tuesday, March 3

8:30 a.m. Sessions begin

Sessions include:

Math milestones with Jason Zimba
Unfinished learning with Phil Daro
Powerful moments in math class with Mike Flynn
Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

6:30 p.m. Evening event

Wednesday, March 4

8:30 a.m. Sessions begin

Sessions include:

Embedding problem-solving into your curriculum with Fawn Nguyen
Writing in mathematics: The power of mathematics explanations with Jessica Balli
Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
Writing in mathematics: The power of mathematical explanations with Patrick Callahan

4:00 p.m. Departures

Submit the form to register for the event!

Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

A laptop displays an educational website about balancing forces and floating trains, with a matching teacher's guide booklet beside it.

Name
First Last
Email
This field is hidden when viewing the form
Untitled
Phone
Untitled*
Untitled
- First Choice
- Second Choice
- Third Choice
Untitled
Untitled
- First Choice
- Second Choice
- Third Choice

The fine print

While we’ve made every effort to ensure that this invitation is consistent with the gift and ethics rules adopted by most jurisdictions, we recognize that many public officials are subject to rules that do not permit acceptance of this offer or require approval of other officials at your agency. If you do plan to attend our event, please ensure that acceptance of our invitation is fully compliant with your local rules regarding travel, lodging, and meals for events with vendors. Please let us know if we can provide any additional information to support your determination.

Logotipo de la Cumbre de Liderazgo en Matemáticas 2020, patrocinada por Amplify. Presenta formas geométricas y texto estilizado "2020" sobre un fondo blanco.

Join us!

Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

March 2–4

The US Grant Hotel, San Diego

About the event

We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

What to expect:

Two full days of keynote and breakout sessions covering a variety of K–12 math topics
Sessions led by district leaders sharing their work to raise math achievement
Evening networking events
Engaging speakers with a variety of expertise
Insights you can put to use in your district immediately

Meet a few of our speakers

Use this version when there are multiple presenters.

Jason Zimba

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Sunil Singh

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Christina Lincoln-Moore

Founding Partner of Student Achievement Partners

Lead writer of the Common Core State Standards for Mathematics

Meet our featured presenter

Use this version when there is only one presenter, rather than many.

Promotional image featuring an author next to her book titled "the knowledge gap," set against a background of colorful geometric shapes.

Natalie Wexler

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

Event agenda

Monday, March 2

Arrivals

Pre-conference workshop featuring Chris Weber and Patrick Callahan

Sessions begin at 1 p.m. Pacific and include:

Adult and Student Mindsets and Math Supports
Enhanced Mathematics

3:00 p.m. Hotel check-in available

6:00 p.m. Welcome reception and dinner

Tuesday, March 3

8:30 a.m. Sessions begin

Sessions include:

Math milestones with Jason Zimba
Unfinished learning with Phil Daro
Powerful moments in math class with Mike Flynn
Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

6:30 p.m. Evening event

Wednesday, March 4

8:30 a.m. Sessions begin

Sessions include:

Embedding problem-solving into your curriculum with Fawn Nguyen
Writing in mathematics: The power of mathematics explanations with Jessica Balli
Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
Writing in mathematics: The power of mathematical explanations with Patrick Callahan

4:00 p.m. Departures

Submit the form to register for the event!

Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

Name
First Last
Email
This field is hidden when viewing the form
Untitled
Phone
Untitled*
Untitled
- First Choice
- Second Choice
- Third Choice
Untitled
Untitled
- First Choice
- Second Choice
- Third Choice

The fine print

Program pg template redesign -AI

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.

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.

Caregiver Resources (English)

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Unit 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

Caregiver Resources (Spanish)

Coming soon!

Glossaries

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Unit 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

Caregiver Resources (English)

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

Caregiver Resources (Spanish)

Coming soon!

Glossaries

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

Caregiver Resources (English)

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Introducing 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

Caregiver Resources (Spanish)

Coming soon!

Glossaries

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Introducing 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

Caregiver Resources (English)

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

Caregiver Resources (Spanish)

Coming soon!

Glossaries

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

Caregiver Resources (English)

Unit 1: Patterns and Sequences
Unit 2: Linear Equations and Inequalities
Unit 3: Systems of Linear Equations and Inequalities
Unit 4: Describing Functions
Unit 5: Exponential Functions
Unit 6: Rigid Transformations and Congruence
Unit 7: Describing Data

Caregiver Resources (Spanish)

Coming soon!

Glossaries

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

Sub-Unit 1 – Generating Equivalent Ratios
Sub-Unit 2 – Comparing Ratios
Sub-Unit 3 – Applying Part-Part-Whole Relationships

Unit 3

Sub-Unit 1 – Converting Measurements
Sub-Unit 2 – Calculating Unit Rates
Sub-Unit 3 – Calculating Unknown Percentages

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

Sub-Unit 1 – Calculating Percentages
Sub-Unit 2 – Finding Sales Tax and Tip
Sub-Unit 3 – Applying Fractions in Proportional Relationships

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

Sub-Unit 1 – Multiplying Powers
Sub-Unit 2 – Writing Numbers in Scientific Notation

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

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Algebra 1

Launch

Visual Patterns

Chapter 1: Solving Linear Equations

Lesson 1.2: Solving Multi-Step Equations	Working Backwards
Lesson 1.4: Solving Equations with Variables on Both Sides	Solving Strategies Same Position
Lesson 1.6: Rewriting Equations and Formulas	Subway Seats Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.1: Writing and Graphing Inequalities

Pizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Characteristics of Functions	Craft-a-Graph
Lesson 3.5: Graphing Linear Equations in Standard Form	Shelley the Snail Five Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of Fit	Correlation Coefficient How Hot Is It? City Slopes Residual Fruit Penguin Populations
Lesson 4.5: Analyzing Lines of Fit	Behind the Headlines City Data
Lesson 4.6: Arithmetic Sequences	Sequence Carnival More Visual Patterns
Lesson 4.7: Piecewise Defined Functions	Pumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.1: Solve Systems of Linear Equations by Graphing	Lizard Lines
Lesson 5.2: Solving Systems of Linear Equations by Substitution	Shape It Up
Lesson 5.4: Solving Special Systems of Linear Equations	Lizard Lines
Lesson 5.6: Graphing Linear Inequalities in Two Variables	Quilts
Lesson 5.7: Systems of Linear Inequalities	Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential Functions	Carlos’s Fish
Lesson 6.6 Geometric Sequences	Sequence Carnival More Visual Patterns

Chapter 6 Performance Task

Performance Task

Detroit’s Population, Part 1
Detroit’s Population, Part 2

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Graphing f(x)=Ax^2	Revisiting Visual Patterns, Part 1 Quadratic Visual Patterns On the Fence
Lesson 8.2: Graphing f(x)=Ax^2+C	Plenty of Parabolas
Lesson 8.3: Graphing f(x)=Ax^2+Bx+C	Stomp Rockets
Lesson 8.4: Graphing f(x)=A(x-h)^2+k	Robot Launch
Lesson 8.5: Using Intercept Form	Two for One Parabola Zapper Shooting Stars
Lesson 8.6: Comparing Linear, Exponential, and Quadratic Functions	Plane, Train, and Automobile Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the Square	Square Tactic
Lesson 9.5: Solving Quadratic Equations using the Quadratic Formula	Stomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a Function

Chip the Robot

Chapter 11: Data Analysis and Displays

Finding 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.

Season 1, Episode 7

Teaching takes joy, starring Rebecka Peterson

Today on Beyond My Years, host Ana Torres delves into the wisdom offered by Rebecka Peterson, 2023’s National Teacher of the Year (NTOY) and an educator whose journey began much like Ana’s: as a young immigrant to the United States. Rebecka shares all that she has come to love and appreciate about the K–12 environment after a tough transition from teaching college-level courses. She also reveals her most important lesson learned: Teach humans over content. Rebecka talks about her “One Good Thing” blog, where she documented daily positives in her classroom that transformed her perspective on teaching. She shares personal experiences of feeling like an outsider and how those experiences drive her to create an environment of belonging for her students. Rebecka stresses the significance of building authentic relationships with students, as well as the impact of mentors in education. Taking all those lessons back to the classroom, Eric and Ana discuss strategies like “rebellious joy” that seem essential to sustaining a long career in education.

Portrait of a smiling person with long brown hair, wearing a dark blazer and earrings. The background features patterns of apples, stars, and open books in pastel colors.

Meet Our Guest(s):

Woman with wavy dark hair, wearing gold hoop earrings and a dark green blazer, smiling in front of a light-colored background.

Rebecka Peterson

Recognized as the 2023 National Teacher of the Year, Rebecka Peterson is a math teacher who loves stories. Rebecka has been teaching for 16 years, the last 12 of which at Union High School in Tulsa, Oklahoma. She believes that when we learn each other’s stories, we carry a piece of each other with us, enabling us to authentically advocate for our students, teachers, and communities.

In the midst of a challenging first year of teaching, Rebecka joined other educators in a daily practice of noting “one good thing” in her classroom. Together they found inspiration by embracing the motto: “Every day may not be good, but there is one good thing in every day.” This shift in perspective transformed her work. Rebecka now collaborates with fellow educators, emphasizing the importance of cultivating “intentional joy” as a means of sustaining oneself in the difficult but beautiful profession of teaching.

Meet our host, Ana Torres.

Ana has been an educator for 30 years, working in both the K–8 and higher education sectors. She served as an administrator and instructor at various public and private colleges and universities and as a bilingual and dual language teacher, dual language math and reading interventionist, dual language instructional coach, assistant principal, and principal in K–8 schools. Ana is currently the Senior Biliteracy and Multilingual Product Specialist on Amplify’s product specialist team, and delivers literacy and biliteracy presentations across the nation. Ana’s passion and advocacy for biliteracy and multiculturalism has led her to educate leaders, teachers, and parents about the positive impact of bilingualism and biliteracy in our world.

A woman with long dark hair and hoop earrings smiles at the camera while wearing a black blazer, standing outdoors—ready to discuss classroom challenges or share insights on her teacher podcast.

A man with short, closely-cropped hair and a trimmed beard smiles at the camera against a light gray background, ready to inspire diverse learners in the math classroom.

Meet our Classroom Insider, Eric Cross.

Eric Cross is a middle school science teacher who hopes to someday be a lifelong educator, like the guests on Beyond My Years! In each episode, Eric connects with host Ana Torres to discuss her guests’ best insights gleaned from their long and rewarding careers in the classroom. Then, Eric talks about bringing some of their wisdom into his current classroom and busy life.

Transcripts and additional resources:

Instagram: @RebeckaPeterson

Subscribe to Beyond My Years

X: @RebeckaMozdeh

“Dear Ana”: Tell us about a seasoned educator who impacted your life!

Connect with Eric Cross

Listen: Hear from Missy Testerman, 2024 National Teacher of the Year!

Connect with Ana Torres

Read Rebecka’s blog “One Good Thing”

Transcript

Quotes

“There were moments that I was missing because I wasn’t making space for them to land.”

—Rebecka Peterson

“This was like training my brain to become a good noticer and to take delight in my students’ quirks, and their genius, and their goofiness, as well as their beauty.”

—Rebecka Peterson

“It takes a lot of courage to stand in the present. It is mindfulness. It is joy.”

—Rebecka Peterson

“This is our profession. I think we reclaim it, and we reclaim it with a sense of joy. We reclaim it by saying, ‘This is hard work. And this is really beautiful work. I am exhausted, and I am exhilarated. Yes, I’m ready to go home, and you better believe I’m going to be here tomorrow, ready to give my whole heart and soul and mind again.’”

—Rebecka Peterson

“I thought…I had to earn my seat at the table. I don’t want any kid to ever think they have to earn their spot. I want them to know they are in, exactly as they are. There is no need to perform. They are loved on their good days, their hard days, whether they make the “A” or not—they are in. And more than that, they are celebrated.”

—Rebecka Peterson

“Physicists have found that particles at the subatomic level move when they’re seen, so that bearing witness to them changes the trajectory of the particle. And I just think, on my good days, that’s what I do, right? When I see, I can change a trajectory. I think that’s our superpower as teachers…we see the invisible.”

—Rebecka Peterson

“When you build that currency in students, they will jump—literally, jump. They will do anything for you. It’s not a magic wand. No. It takes time. Seeing them, acknowledging them, and believing in them.”

—Ana Torres

“I hope that the way I love is so radical that it changes the way my students love themselves and love each other. … I hope with all my heart that is true. But even if it doesn’t, it changes something in me. I am better because of this profession and because of my students.”

—Rebecka Peterson

“That’s how we build our joy, how we build our resiliency—when we do the work together.”

—Rebecka Peterson

High-Quality Materials

Literacy

MATH

SCIENCE

Research

Blog and webinar library

Media & events

Grade 6

Module 1: Ratios and Unit Rates

Module 2: Arithmetic Operations Including Division of Fractions

Module 3: Rational Numbers

Module 4: Expressions and Equations

Module 5: Area, Surface Area, and Volume Problems

Module 6: Statistics

Grade 7

Module 1: Ratios and Proportional Relationships

Module 2: Rational Numbers

Module 3: Expressions and Equations

Module 4: Percent and Proportional Relationships

Module 5: Statistics and Probability

Module 6: Geometry

Grade 8

Module 1: Integer Exponents and Scientific Notation

Module 2: The Concept of Congruence

Module 3: Similarity

Module 4: Linear Equations

Module 5: Examples of Functions from Geometry

Module 6: Linear Functions

Module 7: Introduction to Irrational Numbers Using Geometry

Grade 6

Chapter 2: Fractions and Decimals

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

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

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

Chapter 6: Data Analysis and Displays

Chapter 7: Functions

Chapter 8: Exponents and Scientific Notation

Chapter 9: Real Numbers and the Pythagorean Theorem

Chapter 10: Volume and Similar Solids

Algebra 1

Chapter 1: Solving Linear Equations

Chapter 2: Solving Linear Inequalities

Chapter 3: Graphing Linear Functions

Chapter 4: Writing Linear Functions

Chapter 5: Solving Systems of Linear Equations

Chapter 6: Exponential Functions and Sequences

Chapter 8: Graphing Quadratic Functions

Chapter 9: Solving Quadratic Equations

Chapter 10: Radical Functions and Equations

Chapter 11: Data Analysis and Displays

Disclaimer

Families and caregivers, welcome to Amplify Desmos Math 6–12!

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Families and caregivers, welcome to Amplify Desmos Math California
6–12!