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
| 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
| 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
| 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 |
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