Illustrative Mathematics
—
Grade 6
Unit 1: Area and Surface Area
| Illustrative Mathematics | Desmos Classroom |
|---|---|
| Topic A: Reasoning to Find Area |
|
| Lesson 1: Tiling the Plane |
Unit 1 Lesson 1: Shapes on a Plane |
| Lesson 4: Parallelograms Lesson 5: Bases and Heights of Parallelograms Lesson 6: Area of Parallelograms |
Unit 1 Lesson 3: Exploring Parallelograms |
| Topic 3: Triangles |
|
| Lesson 7: From Parallelograms to Triangles |
Unit 1 Lesson 3: Exploring Parallelograms |
| Topic 5: Surface Area |
|
| Lesson 12: What is Surface Area? |
Unit 1 Lesson 10: Renata's Stickers |
Unit 2: Introducing Ratios
| Topic 1: Introducing Ratios |
|
| Lesson 1: Introducing Ratios and Ratio Language |
Unit 2 Lesson 1: Pizza Maker |
| Lesson 2: Representing Ratios with Diagrams |
Unit 2 Lesson 1: Pizza Maker |
| Topic 2: Equivalent Ratios |
|
| Lesson 3: Recipes |
Unit 2 Lesson 4: Fruit Lab |
| Lesson 5: Defining Equivalent Ratios |
Unit 2 Lesson 1: Pizza Maker |
| Topic 4: Solving Ratio and Rate Problems |
|
| Lesson 11: Representing Ratios with Tables |
Unit 2 Lesson 10: Disaster Preparation |
Unit 3: Rates and Percentages
| Topic 2: Unit Conversion |
|
| Lesson 2: Anchoring Units of Measurement |
Unit 3 Lesson 1: Many Measurements |
| Topic 3: Rates |
|
| Lesson 5: Comparing Speeds and Prices |
Unit 3 Lesson 6: Soft Serve |
| Lesson 6: Interpreting Rates Lesson 7: Equivalent Ratios Have the Same Unit Rates |
Unit 3 Lesson 6: Soft Serve |
| Topic 4: Percentages |
|
| Lesson 10: What Are percentages |
Unit 3 Lesson 9: Lucky Duckies |
| Lesson 13: Benchmark percentages |
Unit 3 Lesson 9: Lucky Duckies |
| Topic 5: Let’s Put It to Work |
|
| Lesson 7: Equivalent Ratios Have the Same Unit Rates |
Unit 3 Lesson 6: Soft Serve |
Unit 4: Dividing Fractions
| Topic 2: Meanings of Fraction Division |
|
| Lesson 4: How Many Groups (Part 1) |
Unit 4 Lesson 3: Flour Planner
|
| Lesson 6: Using Diagrams to Find the Number of Groups |
Unit 4 Lesson 6: Fill the Gap |
Unit 5: Arithmetic in Base Ten
| Topic 1: Warming Up to Decimals |
|
| Lesson 1: Using Decimals in a Shopping Context |
Unit 5 Lesson 1: Dishing Out Decimals |
| Topic 5: Let’s Put It to Work |
|
| Lesson 14: Using Operations on Decimals to Solve Problems |
Unit 5 Lesson 13: Movie Time |
Unit 6: Expressions and Equations
| Topic 1: Equations in One Variable |
|
| Lesson 1: Tape Diagrams and Equations Lesson 2: Truth and Equations |
Unit 6 Lesson 1: Weight for It |
| Lesson 3: Staying in Balance |
Unit 6 Lesson 1: Weight for It |
| Topic 2: Equal and Equivalent |
|
| Lesson 8: Equal and Equivalent |
Unit 6 Lesson 1: Weight for It |
| Topic 9: The Distributive Property, Part 1 |
Unit 6 Lesson 8: Products and Sums Take Away (coming soon!)
|
| Lesson 10: The Distributive Property, Part 2 Lesson 11: The Distributive Property, Part 3 |
Unit 6 Lesson 8: Products and Sums Take Away (coming soon!)
|
| Topic 5: Let’s Put It to Work |
|
| Lesson 19: Tables, Equations, and Graphs, Oh My! |
Unit 6 Lesson 16: Subway Fares Take Away (coming soon!)
|
Unit 7: Rational Numbers
| Topic 1: Positive and Negative Numbers |
|
| Lesson 1: Positive and Negative Numbers |
Unit 7 Lesson 1: Can You Dig It? |
| Lesson 3: Comparing Positive and Negative Numbers Lesson 4: Ordering Rational Numbers |
Unit 7 Lesson 4: Order in the Class |
| Topic 2: Inequalities |
|
| Lesson 9: Solutions of Inequalities Lesson 10: Interpreting Inequalities |
Unit 7 Lesson 7: Tunnel Travels |
| Topic 3: The Coordinate Plane |
|
| Lesson 15: Shapes on the Coordinate Plane |
Unit 1 Lesson 1: Shapes on a Plane |
Unit 8: Data Sets and Distributions
| Topic 2: Dot Plots and Distributions |
|
| Lesson 3: Representing Data Graphically Lesson 4: Dot Plots Lesson 5: Using Dot Plots to Answer Statistical Questions |
Unit 8 Lesson 3: Minimum Wage |
| Lesson 6: Interpreting Histograms Lesson 7: Using Histograms to Answer Statistical Questions Lesson 8: Describing Distributions on Histograms |
Unit 8 Lesson 5: The Plot Thickens |
| Topic 4: Median and IQR |
|
| Lesson 13: Median |
Unit 8 Lesson 11: Toy Cars |
Grade 7
Unit 1: Scale Drawings
| Illustrative Mathematics | Desmos Classroom |
|---|---|
| Topic 1: Scaled Copies |
|
| Lesson 1: What are Scaled Copies? |
Unit 1 Lesson 1: Scaling Machines |
| Topic 2: Scale Drawings |
|
| Lesson 7: Scale Drawings |
Unit 1 Lesson 7: Will It Fit? |
Unit 2: Introducing Proportional Relationships
| Topic 1: Representing Proportional Relationships with Tables |
|
| Lesson 1: One of These Things Is Not Like the Others |
Unit 2 Lesson 1: Paint
|
| Topic 2: Representing Proportional Relationships with Equations |
|
| Lesson 4: Proportional Relationships with Equations |
Unit 2 Lesson 6: Two and Two |
| Lesson 5: Two Equations for Each Relationship Lesson 6: Using Equations to Solve Problems |
Unit 2 Lesson 6: Two and Two |
| Topic 3: Comparing Proportional and Nonproportional Relationships |
|
| Lesson 8: Comparing Relationships with Equations |
Unit 2 Lesson 6: Two and Two |
| Topic 4: Representing Proportional Relationships with Graphs |
|
| Lesson 10: Introducing Graphs of Proportional Relationships Lesson 11: Interpreting Graphs of Proportional Relationships Lesson 12: Using Graphs to Compare Relationships Lesson 13: Two Graphs for Each Relationship |
Unit 2 Lesson 8: Dino Pops |
Unit 3: Measuring Circles
| Topic 1: Circumference of a Circle |
|
| Lesson 1: How Well Can You Measure? |
Unit 3 Lesson 8: Toothpicks (coming soon!)
|
| Lesson 2: Exploring Circles Lesson 3: Exploring Circumference Lesson 4: Applying Circumference |
Unit 3 Lesson 3: Measuring Around Take Away (coming soon!)
|
| Topic 2: Area of a Circle |
|
| Lesson 7: Exploring the Area of a Circle Lesson 8: Relating Area to Circumference |
Unit 3 Lesson 9: Area Challenges Take Away (coming soon!)
|
Unit 4: Proportional Relationships and Percentages
| Topic 1: Proportional Relationships with Fractions |
|
| Lesson 1: Lots of Flags Lesson 2: Ratios and Rates with Fractions Lesson 3: Revisiting Proportional Relationships Lesson 4: Half as Much Again |
Unit 4 Lesson 1: Mosaics |
| Topic 2: Percent Increase and Decrease |
|
| Lesson 6: Increasing and Decreasing |
Unit 4 Lesson 5: Percent Machines Lesson 12: Posing Percent Problems (coming soon!)
|
| Topic 3: Applying Percentages |
|
| Lesson 10: Tax and Tip Lesson 11: Percentage Contexts |
Unit 4 Lesson 12: Posing Percent Problems (coming soon!)
|
| Topic 4: Let’s Put It to Work |
|
| Lesson 16: Posing Percent Problems |
Unit 4 Lesson 12: Posing Percent Problems (coming soon!)
|
Unit 5: Rational Number Arithmetic
| Topic 1: Interpreting Negative Numbers |
|
| Lesson 1: Interpreting Negative Numbers |
Unit 5 Lesson 1: Floats and Anchors |
| Topic 2: Adding and Subtracting Rational Numbers |
|
| Lesson 2: Changing Temperatures Lesson 3: Changing Elevation |
Unit 5 Lesson 4: Draw Your Own |
| Lesson 6: Subtracting Rational Numbers Lesson 7: Adding and Subtracting to Solve Problems |
Unit 5 Lesson 4: Draw Your Own Lesson 10: Integer Puzzles |
Unit 6: Expressions, Equations, and Inequalities
| Topic 1: Representing Situations of the Form px + q = r and p(x + q) = r |
|
| Lesson 1: Relationships Between Quantities |
Unit 2 Lesson 1: Paint Unit 4 Lesson 1: Mosaics |
| Topic 9 Dealing with Negative Numbers |
|
| Lesson 10: Different Options for Solving One Equation |
Unit 6 Lesson 10: Collect the Squares |
| Topic 3: Inequalities |
|
| Lesson 13: Reintroducing Inequalities |
Unit 6 Lesson 16: Shira the Sheep |
| Lesson 14: Finding Solutions to Inequalities in Context Lesson 15: Efficiency Solving Inequalities |
Unit 6 Lesson 16: Shira the Sheep |
| Lesson 16: Interpreting Inequalities Lesson 17: Modeling with Inequalities |
Unit 6 Lesson 16: Shira the Sheep |
| Topic 4: Writing Equivalent Expressions |
|
| Lesson 18: Subtraction in Equivalent Expressions |
Unit 6 Lesson 10: Collect the Squares |
| Lesson 20: Combining Like Terms (Part 1) Lesson 21: Combining Like Terms (Part 2) Lesson 22: Combining Like Terms (Part 3) |
Unit 6 Lesson 10: Collect the Squares |
Unit 7: Angles, Triangles, and Prisms
| Topic 1: Angle Relationships |
|
| Lesson 1: Relationships of Angles |
Unit 7 Lesson 2: Friendly Angles |
| Lesson 2: Adjacent Angles Lesson 3: Nonadjacent Angles |
Unit 7 Lesson 2: Friendly Angles |
| Lesson 4: Solving for Unknown Angles |
Unit 7 Lesson 2: Friendly Angles |
| Lesson 5: Using Equations to Solve for Unknown Angles |
Unit 7 Lesson 4: Missing Measures |
| Topic 2: Drawing Polygons with Given Conditions |
|
| Lesson 9: Drawing Triangles (Part 1) Lesson 10: Drawing Triangles (Part 2) |
Unit 7 Lesson 5: Can You Build It? |
Unit 8: Probability and Sampling
| Topic 1: Probabilities of Single Step Events |
|
| Lesson 1: Mystery Bags Lesson 2: Chance Experiments Lesson 3: What Are Probabilities? |
Unit 8 Lesson 1: How Likely? Lesson 2: Prob-bear-bilities |
| Topic 3: Sampling |
|
| Lesson 11: Comparing Groups Lesson 12: Larger Populations Lesson 13: What Makes a Good Sample? Lesson 14: Sampling in a Fair Way |
Unit 8 Lesson 10: Crab Island |
| Topic 4: Using Samples |
|
| Lesson 15: Estimating Population Measures of Center Lesson 16: Estimating Population Proportions |
Unit 8 Lesson 10: Crab Island |
| Lesson 17: More about Sampling Variability Lesson 18: Comparing Populations Using Samples Lesson 19: Comparing Populations with Friends |
Unit 8 Lesson 10: Crab Island |
Grade 8
Unit 1: Rigid Transformations and Congruence
| Illustrative Mathematics | Desmos Classroom |
|---|---|
| Topic 1: Rigid Transformations |
|
| Lesson 1: Moving in the Plane |
Unit 1 Lesson 1: Transformers |
| Lesson 2: Naming the Moves |
Unit 1 Lesson 2: Spinning, Flipping, Sliding |
| Lesson 3: Grid Moves |
Unit 1 Lesson 4: Moving Day |
| Lesson 4: Making the Moves |
Unit 1 Lesson 1: Transformers Lesson 2: Spinning, Flipping, Sliding Lesson 4: Moving Day |
| Lesson 5: Coordinate Moves |
Unit 1 Lesson 4: Moving Day |
| Lesson 6: Describing Transformations |
Unit 1 Lesson 6: Connecting the Dots (coming soon!)
|
| Topic 2: Properties of Rigid Transformations |
|
| Lesson 8: Rotation Patterns |
Unit 1 Lesson 1: Transformers Lesson 2: Spinning, Flipping, Sliding Lesson 4: Moving Day |
| Topic 5: Let’s Put It to Work |
|
| Lesson 17: Rotate and Tessellate |
Lesson 13: Tessellate |
Unit 2: Dilations, Similarity, and Introducing Slope
| Topic 1: Dilations |
|
| Lesson 1: Projecting and Scaling |
Unit 2 Lesson 1: Sketchy Dilations Lesson 2: Dilation Mini Golf |
| Lesson 2: Circular Grid Lesson 3: Dilations with No Grid Lesson 4: Dilations on a Square Grid Lesson 5: More Dilations |
Unit 2 Lesson 1: Sketchy Dilations Lesson 2: Dilation Mini Golf |
| Topic 2: Similarity |
|
| Lesson 6: Similarity |
Unit 2 Lesson 6: Social Scavenger Hunt |
| Topic 3: Slope | |
| Lesson 10: Meet Slope |
Unit 3 Lesson 4: Flags |
Unit 3: Linear Relationships
| Topic 1: Proportional Relationships |
|
| Lesson 1: Understanding Proportional Relationships |
Unit 3 Lesson 1: Turtle Time Trials |
| Lesson 2: Graphs of Proportional Relationships |
Unit 3 Lesson 1: Turtle Time Trials |
| Lesson 3: Representing Proportional Relationships |
Unit 3 Lesson 1: Turtle Time Trials
|
| Topic 2: Representing Linear Relationships |
|
| Lesson 5: Introduction to Linear Relationships |
Unit 3 Lesson 1: Turtle Time Trials |
| Lesson 7: Representations of Linear Relationships |
Unit 3 Lesson 4: Flags |
| Topic 3: Finding Slopes |
|
| Lesson 9: Slopes Don’t Have to be Positive |
Unit 3 Lesson 4: Flags |
| Lesson 11: Equations of All Kinds of Lines
|
Unit 3 Lesson 4: Flags |
| Topic 4: Linear Equations |
|
| Lesson 13: More Solutions to Linear Equations |
Unit 3
Lesson 4: Flags |
Unit 4: Linear Equations and Linear Systems
| Topic 2: Linear Equation in One Variable |
|
| Lesson 5: Solving Any Linear Equation |
Unit 4 Lesson 5: Equation Roundtable |
| Lesson 6: Strategic Solving |
Unit 4 Lesson 5: Equation Roundtable |
| Topic 3: Systems of Linear Equations |
|
| Lesson 11: On Both of the Lines Lesson 12: Systems of Equations Lesson 13: Solving Systems of Equations |
Unit 4 Lesson 11: Make Them Balance Lesson 12: Line Zapper |
Unit 5: Functions and Volume
| Topic 1: Inputs and Outputs |
|
| Lesson 1: Inputs and Outputs |
Unit 5 Lesson 1: Turtle Crossing Lesson 2: Guess My Rule |
| Lesson 2: Introduction to Functions |
Unit 5 Lesson 1: Turtle Crossing Lesson 2: Guess My Rule |
| Topic 2: Representing and Interpreting Functions |
|
| Lesson 3: Equations of Functions |
Unit 3 Lesson 1: Turtle Time Trials |
| Lesson 4: Tables, Equations, and Graphs of Functions Lesson 5: More Graphs of Functions |
Unit 5 Lesson 5: The Tortoise and the Hare |
| Topic 3: Linear Functions and Rates of Change |
|
| Lesson 8: Linear Functions |
Unit 3 Lesson 4: Flags |
| Lesson 9: Linear Models |
Unit 5 Lesson 5: The Tortoise and the Hare |
| Topic 4: Cylinder and Cones |
|
| Lesson 13: The Volume of a Cylinder |
Unit 5 Lesson 11: Cylinders |
| Lesson 14: Finding Cylinder Dimensions |
Unit 5 Lesson 11: Cylinders |
| Lesson 15: The Volume of a Cone |
Unit 5 Lesson 13: Cones |
| Lesson 16: Finding Cone Dimensions |
Unit 5 Lesson 13: Cones |
Unit 6: Associations in Data
| Topic 2: Associations in Numerical Data |
|
| Lesson 3: What a Point in a Scatter Plot Means |
Unit 6 Lesson 3: Robots |
| Lesson 4: Fitting a Line |
Unit 6 Lesson 4: Dapper Cats Lesson 6: Find the Fit |
| Lesson 5: Describing Trends in Scatter Plots |
Unit 6 Lesson 3: Robots |
| Lesson 7: Observing More patterns in Scatter Plots |
Unit 6 Lesson 3: Robots |
| Topic 3: Associations in Categorical data |
|
| Lesson 9: Looking for Associations |
Unit 6 Lesson 11: Finding Associations |
| Lesson 10: Using Data Displays to Find associations |
Unit 6 Lesson 11: Finding Associations |
Unit 7: Exponents and Scientific Notation
| Topic 1: Exponent Review |
|
| Lesson 1: Exponent Review |
Unit 7 Lesson 1: Circles |
| Lesson 2: Multiplying Powers of 10 Lesson 3: Powers of Powers of 10 Lesson 4: Dividing Powers of 10 |
Unit 7 Lesson 3: Power Pairs |
| Topic 3: Scientific Notation |
|
| Lesson 13: Defining Scientific Notation Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation |
Unit 7 Lesson 9: Specific and Scientific Lesson 11: Balance the Scale |
| Lesson 15: Adding and Subtracting with Scientific Notation |
Unit 7 Lesson 9: Specific and Scientific Lesson 11: Balance the Scale |
Unit 8: Pythagorean Theorem and Irrational Numbers
| Topic 1: Side Lengths and Areas of Squares |
|
| Lesson 5: Reasoning about Square Roots |
Unit 8 Lesson 4: Root Down |
| Topic 2: The Pythagorean Theorem |
|
| Lesson 6: Finding Side Lengths of Triangles |
Unit 8 Lesson 8: Triangle-Tracing Turtle |
| Lesson 10: Applications of the Pythagorean Theorem |
Unit 8 Lesson 10: Taco Truck |
| Topic 5: Let’s Put It to Work |
|
| Lesson 16: When Is the Same Size Not the Same Size? |
Unit 8 Lesson 10: Taco Truck |