# Contents

1. 1.1: Which One Doesn’t Belong: Tilings
1. Are you ready for more?
2. Lesson 1 Summary
3. Glossary
4. Lesson 1 Practice Problems
1. 2.1: What is Area?
1. Are you ready for more?
2. 2.3: Tangram Triangles
3. Lesson 2 Summary
4. Glossary
5. Lesson 2 Practice Problems
1. 3.1: Comparing Regions
1. Are you ready for more?
2. 3.3: Off the Grid
3. Lesson 3 Summary
4. Lesson 3 Practice Problems
1. 4.1: Features of a Parallelogram
2. 4.2: Area of a Parallelogram
3. 4.3: Lots of Parallelograms
4. Lesson 4 Summary
5. Glossary
6. Lesson 4 Practice Problems
1. 5.1: A Parallelogram and Its Rectangles
1. Are you ready for more?
1. Are you ready for more?
2. Lesson 5 Summary
3. Glossary
4. Lesson 5 Practice Problems
1. 6.1: Same Parallelograms, Different Bases
1. Are you ready for more?
2. 6.3: A Tale of Two Triangles (Part 2)
3. Lesson 6 Summary
4. Lesson 6 Practice Problems
1. 7.1: Composing Parallelograms
2. 7.2: More Triangles
1. Are you ready for more?
3. Lesson 7 Summary
4. Lesson 7 Practice Problems
1. 8.1: Bases and Heights of a Triangle
2. 8.2: Finding a Formula for Area of a Triangle
3. 8.3: Applying the Formula for Area of Triangles
4. Lesson 8 Summary
5. Glossary
6. Lesson 8 Practice Problems
1. 9.1: Which One Doesn’t Belong: Bases and Heights
2. 9.2: What Are Polygons?
1. Are you ready for more?
3. 9.4: Pinwheel
4. Lesson 9 Summary
5. Glossary
6. Lesson 9 Practice Problems
1. 10.1: Covering the Cabinet (Part 1)
1. Are you ready for more?
2. 10.3: Building with Snap Cubes
3. Lesson 10 Summary
4. Glossary
5. Lesson 10 Practice Problems
1. 11.1: What are Polyhedra?
1. Are you ready for more?
1. Are you ready for more?
2. Lesson 11 Summary
3. Glossary
4. Lesson 11 Practice Problems
1. 12.1: Notice and Wonder: Wrapping Paper
2. 12.2: Building Prisms and Pyramids
1. Are you ready for more?
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Tent Design - Part 1
2. 13.2: Tent Design - Part 2
1. Lesson 1: Tiling the Plane
2. Lesson 2: Finding Area by Decomposing and Rearranging
3. Lesson 3: Reasoning to Find Area
4. Lesson 4: Parallelograms
5. Lesson 5: Areas of Parallelograms
6. Lesson 6: From Parallelograms to Triangles
7. Lesson 7: Area of Triangles
8. Lesson 8: Formula for the Area of a Triangle
9. Lesson 9: Polygons
10. Lesson 10: What is Surface Area?
11. Lesson 11: Polyhedra and Nets
12. Lesson 12: More Nets, More Surface Area
13. Lesson 13: Designing a Tent
1. 1.1: Number Talk: Dividing by 4 and Multiplying by \frac14
2. 1.2: A Collection of Snap Cubes
3. 1.3: Blue Paint and Art Paste
1. Are you ready for more?
4. Lesson 1 Summary
5. Lesson 1 Practice Problems
1. 2.1: Flower Pattern
1. Are you ready for more?
2. 2.3: Batches of Cookies
3. Lesson 2 Summary
4. Glossary
5. Lesson 2 Practice Problems
1. 3.1: Dots and Half Dots
1. Are you ready for more?
2. 3.3: What Are Equivalent Ratios?
3. Lesson 3 Summary
4. Glossary
5. Lesson 3 Practice Problems
1. 4.1: Number Talk: Adjusting Another Factor
1. Are you ready for more?
2. 4.3: Blue Paint on a Double Number Line
3. Lesson 4 Summary
4. Glossary
5. Lesson 4 Practice Problems
1. 5.1: Ordering on a Number Line
2. 5.2: Just a Little Green
1. Are you ready for more?
3. 5.4: Revisiting Tuna Casserole
4. Lesson 5 Summary
5. Glossary
6. Lesson 5 Practice Problems
1. 6.1: Number Talk: Dividing by Powers of 10
2. 6.2: More Shopping
3. 6.3: Moving 10 Meters
4. Lesson 6 Summary
5. Lesson 6 Practice Problems
1. 7.1: Treadmills
2. 7.2: Concert Tickets
1. Are you ready for more?
3. Lesson 7 Summary
4. Glossary
5. Lesson 7 Practice Problems
1. 8.1: How Is It Growing?
2. 8.2: A Huge Amount of Sparkling Orange Juice
1. Are you ready for more?
3. Lesson 8 Summary
4. Glossary
5. Lesson 8 Practice Problems
1. 9.1: Number Talk: Multiplying by a Unit Fraction
2. 9.2: Comparing Taco Prices
3. 9.3: Hourly Wages
1. Are you ready for more?
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: What Do You Want to Know?
2. 10.2: Info Gap: Hot Chocolate and Potatoes
1. Are you ready for more?
3. Lesson 10 Summary
4. Lesson 10 Practice Problems
1. 11.1: True or False: Multiplying by a Unit Fraction
2. 11.2: Cubes of Paint
1. Are you ready for more?
3. 11.4: Invent Your Own Ratio Problem
4. Lesson 11 Summary
5. Glossary
6. Lesson 11 Practice Problems
1. 12.1: You Tell the Story
1. Are you ready for more?
2. 12.3: Salad Dressing and Moving Boxes
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Estimating Height
2. 13.2: Window Washing
1. Are you ready for more?
3. Lesson 13 Summary
4. Lesson 13 Practice Problems
1. 14.1: Width of a Paper
1. Are you ready for more?
2. Lesson 14 Summary
3. Lesson 14 Practice Problems
1. 15.1: Number Talk: Fractions of a Number
2. 15.2: Road Trip
3. 15.3: Veterinary Weights
4. 15.4: Cooking with a Tablespoon
5. Lesson 15 Summary
6. Lesson 15 Practice Problems
1. 16.1: Closest Quotient
1. Are you ready for more?
2. 16.3: The Best Deal on Beans
3. Lesson 16 Summary
4. Glossary
5. Lesson 16 Practice Problems
1. 17.1: Something per Something
2. 17.2: Cooking Oatmeal
1. Are you ready for more?
3. Lesson 17 Summary
4. Glossary
5. Lesson 17 Practice Problems
1. 18.1: Which One Doesn’t Belong: Comparing Speeds
2. 18.2: Price of Burritos
3. 18.3: Making Bracelets
1. Are you ready for more?
4. Lesson 18 Summary
5. Lesson 18 Practice Problems
1. 19.1: Grid of 100
1. Are you ready for more?
2. 19.3: The Fastest of All
3. Lesson 19 Summary
4. Lesson 19 Practice Problems
1. 20.1: Fundraising Goal
2. 20.2: Three-Day Biking Trip
1. Are you ready for more?
3. Lesson 20 Summary
4. Glossary
5. Lesson 20 Practice Problems
1. 21.1: Notice and Wonder: Tape Diagrams
2. 21.2: Revisiting Jada's Puppy
3. 21.3: 5 Dollars
1. Are you ready for more?
4. Lesson 21 Summary
5. Lesson 21 Practice Problems
1. 22.1: What Percentage Is Shaded?
2. 22.2: Liters, Meters, and Hours
3. 22.3: Nine is . . .
1. Are you ready for more?
4. Lesson 22 Summary
5. Lesson 22 Practice Problems
1. 23.1: Number Talk: Decimals
2. 23.2: Info Gap: Music Devices
3. 23.3: Everything is On Sale
4. Lesson 23 Summary
5. Lesson 23 Practice Problems
1. 24.1: True or False: Percentages
2. 24.2: Jumping Rope
1. Are you ready for more?
3. Lesson 24 Summary
4. Lesson 24 Practice Problems
1. 25.1: Fix It!
2. 25.2: Who Was Fermi?
3. 25.3: Researching Your Own Fermi Problem
1. 26.1: Getting Ready to Paint
2. 26.2: How Much It Costs to Paint
3. 26.3: How Long It Takes to Paint
1. Lesson 1: Representing Ratios with Diagrams
2. Lesson 2: Mixtures
3. Lesson 3: Defining Equivalent Ratios
4. Lesson 4: Introducing Double Number Line Diagrams
5. Lesson 5: Creating Double Number Line Diagrams
6. Lesson 6: Per Each
7. Lesson 7: Comparing Situations by Examining Ratios
8. Lesson 8: Representing Ratios with Tables
9. Lesson 9: Navigating a Table of Equivalent Ratios
10. Lesson 10: Solving Equivalent Ratio Problems
11. Lesson 11: Part-Part-Whole Ratios
12. Lesson 12: Solving More Ratio Problems
13. Lesson 13: The Burj Khalifa
14. Lesson 14: Measuring with Different-Sized Units
15. Lesson 15: Converting Units
16. Lesson 16: Comparing Speeds and Prices
17. Lesson 17: Interpreting Rates
18. Lesson 18: Equivalent Ratios Have the Same Unit Rates
19. Lesson 19: Solving Rate Problems
20. Lesson 20: Percentages and Double Number Lines
21. Lesson 21: Percentages and Tape Diagrams
22. Lesson 22: Benchmark Percentages
23. Lesson 23: Solving Percentage Problems
24. Lesson 24: Finding the Percentage
25. Lesson 25: A Fermi Problem
26. Lesson 26: Painting a Room
1. Glossary
1. Image Attributions
2. Notes
3. Notes