Illustrative Mathematics Curriculum for Grade 6, Grade 7, and Grade 8

Questions, answers, and resources for the Open Up Resources curriculum authored by Illustrative Maths are listed below. Click on the buttons to see a list of lessons in each unit and links to questions, answers, and explanatory videos for each lesson.

Grade 6

Unit 6.1: Area and Surface Area
- Lesson 1: Tiling the Plane
- Lesson 2: Finding Area by Decomposing and Rearranging
- Lesson 3: Reasoning to Find Area
- Lesson 4: Parallelograms
- Lesson 5: Bases and Heights of Parallelograms
- Lesson 6: Area of Parallelograms
- Lesson 7: From Parallelograms to Triangles
- Lesson 8: Area of Triangles
- Lesson 9: Formula for the Area of a Triangle
- Lesson 10: Bases and Heights of Triangles
- Lesson 11: Polygons
- Lesson 12: What is Surface Area?
- Lesson 13: Polyhedra
- Lesson 14: Nets and Surface Area
- Lesson 15: More Nets, More Surface Area
- Lesson 16: Distinguishing Between Surface Area and Volume
- Lesson 17: Squares and Cubes
- Lesson 18: Surface Area of a Cube
- Lesson 19: Designing a Tent
Unit 6.2: Introducing Ratios
- Lesson 1: Introducing Ratios and Ratio Language
- Lesson 2: Representing Ratios with Diagrams
- Lesson 3: Recipes
- Lesson 4: Color Mixtures
- Lesson 5: Defining Equivalent Ratios
- Lesson 6: Introducing Double Number Line Diagrams
- Lesson 7: Creating Double Number Line Diagrams
- Lesson 8: How Much for One?
- Lesson 9: Constant Speed
- Lesson 10: Comparing Situations by Examining Ratios
- Lesson 11: Representing Ratios with Tables
- Lesson 12: Navigating a Table of Equivalent Ratios
- Lesson 13: Tables and Double Number Line Diagrams
- Lesson 14: Solving Equivalent Ratio Problems
- Lesson 15: Part-Part-Whole Ratios
- Lesson 16: Solving More Ratio Problems
- Lesson 17: A Fermi Problem
Unit 6.3: Unit Rates and Percentages
- Lesson 1: The Burj Khalifa
- Lesson 2: Anchoring Units of Measurement
- Lesson 3: Measuring with Different-Sized Units
- Lesson 4: Converting Units
- Lesson 5: Comparing Speeds and Prices
- Lesson 6: Interpreting Rates
- Lesson 7: Equivalent Ratios Have the Same Unit Rates
- Lesson 8: More About Constant Speed
- Lesson 9: Solving Rate Problems
- Lesson 10: What Are Percentages?
- Lesson 11: Percentages and Double Number Lines
- Lesson 12: Percentages and Tape Diagrams
- Lesson 13: Benchmark Percentages
- Lesson 14: Solving Percentage Problems
- Lesson 15: Finding This Percent of That
- Lesson 16: Finding the Percentage
- Lesson 17: Painting a Room
Unit 6.4: Dividing Fractions
- Lesson 1: Size of Divisor and Size of Quotient
- Lesson 2: Meanings of Division
- Lesson 3: Interpreting Division Situations
- Lesson 4: How Many Groups? (Part 1)
- Lesson 5: How Many Groups? (Part 2)
- Lesson 6: Using Diagrams to Find the Number of Groups
- Lesson 7: What Fraction of a Group?
- Lesson 8: How Much in Each Group? (Part 1)
- Lesson 9: How Much in Each Group? (Part 2)
- Lesson 10: Dividing by Unit and Non-Unit Fractions
- Lesson 11: Using an Algorithm to Divide Fractions
- Lesson 12: Fractional Lengths
- Lesson 13: Rectangles with Fractional Side Lengths
- Lesson 14: Fractional Lengths in Triangles and Prisms
- Lesson 15: Volume of Prisms
- Lesson 16: Solving Problems Involving Fractions
- Lesson 17: Fitting Boxes into Boxes

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