# Contents

1. 1.1: Scaled or Not?
2. 1.2: Flags Are Many Sizes
1. Are you ready for more?
3. Lesson 1 Summary
4. Glossary
5. Lesson 1 Practice Problems
1. 2.1: Number Talk: Division
2. 2.2: A Train is Traveling at . . .
1. Are you ready for more?
3. 2.4: Scaling the Mona Lisa
4. Lesson 2 Summary
5. Glossary
6. Lesson 2 Practice Problems
1. 3.1: Recipe Ratios
2. 3.2: The Price of Rope
1. Are you ready for more?
3. 3.4: Finishing the Race and More Orange Juice
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
1. 4.1: Notice and Wonder: Tape Diagrams
1. Are you ready for more?
2. 4.3: More and Less
3. 4.4: Card Sort: Representations of Proportional Relationships
4. Lesson 4 Summary
5. Glossary
6. Lesson 4 Practice Problems
1. 5.1: Notice and Wonder: Fractions to Decimals
1. Are you ready for more?
2. 5.3: More and Less with Decimals
3. 5.4: Card Sort: More Representations
4. Lesson 5 Summary
5. Glossary
6. Lesson 5 Practice Problems
1. 6.1: Improving Their Game
2. 6.2: More Cereal and a Discounted Shirt
1. Are you ready for more?
3. 6.4: Agree or Disagree: Percentages
4. Lesson 6 Summary
5. Glossary
6. Lesson 6 Practice Problems
1. 7.1: Notice and Wonder: Double Number Line
2. 7.2: Double Number Lines
1. Are you ready for more?
3. 7.4: Protecting the Green Sea Turtle
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Number Talk: From 100 to 106
2. 8.2: Interest and Depreciation
1. Are you ready for more?
3. 8.4: Representing Percent Increase and Decrease: Equations
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
1. 9.1: Number Talk: What Percentage?
2. 9.2: Waiting Tables
1. Are you ready for more?
3. 9.4: Population Growth
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: Notice and Wonder: The Price of Sunglasses
2. 10.2: Shopping in Two Different Cities
3. 10.3: Shopping in a Third City
1. Are you ready for more?
4. Lesson 10 Summary
5. Lesson 10 Practice Problems
1. 11.1: Leaving a Tip
1. Are you ready for more?
2. 11.3: Commission at a Gym
3. 11.4: Card Sort: Percentage Situations
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
1. 12.1: Tax, Tip, and Discount
1. Are you ready for more?
2. 12.3: Info Gap: Sporting Goods
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Measuring to the Nearest
2. 13.2: Measuring a Soccer Field
1. Are you ready for more?
3. Lesson 13 Summary
4. Glossary
5. Lesson 13 Practice Problems
1. 14.1: Number Talk: Estimating a Percentage of a Number
1. Are you ready for more?
2. 14.3: Measuring in the Heat
3. Lesson 14 Summary
4. Glossary
5. Lesson 14 Practice Problems
1. 15.1: A Lot of Iron Ore
2. 15.2: Saw Mill
3. 15.3: Info Gap: Quality Control
4. Lesson 15 Summary
5. Lesson 15 Practice Problems
1. 16.1: Sorting the News
2. 16.2: Investigating
3. 16.3: Displaying the News
4. Lesson 16 Summary
1. Lesson 1: Lots of Flags
2. Lesson 2: Ratios and Rates With Fractions
3. Lesson 3: Revisiting Proportional Relationships
4. Lesson 4: Half as Much Again
5. Lesson 5: Say It with Decimals
6. Lesson 6: Increasing and Decreasing
7. Lesson 7: One Hundred Percent
8. Lesson 8: Percent Increase and Decrease with Equations
9. Lesson 9: More and Less than 1%
10. Lesson 10: Tax and Tip
11. Lesson 11: Percentage Contexts
12. Lesson 12: Finding the Percentage
13. Lesson 13: Measurement Error
14. Lesson 14: Percent Error
15. Lesson 15: Error Intervals
16. Lesson 16: Posing Percentage Problems
1. 1.1: Using the Thermometer
2. 1.2: Fractions of a Degree
1. Are you ready for more?
3. 1.4: Card Sort: Rational Numbers
4. Lesson 1 Summary
5. Glossary
6. Lesson 1 Practice Problems
1. 2.1: Which One Doesn’t Belong: Arrows
1. Are you ready for more?
2. 2.3: Winter Temperatures
3. Lesson 2 Summary
4. Lesson 2 Practice Problems
1. 3.1: That's the Opposite
2. 3.2: Cliffs and Caves
1. Are you ready for more?
3. 3.4: School Supply Number Line
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
1. 4.1: Concert Tickets
2. 4.2: Cafeteria Food Debt
1. Are you ready for more?
3. Lesson 4 Summary
4. Glossary
5. Lesson 4 Practice Problems
1. 5.1: Equivalent Equations
2. 5.2: Subtraction with Number Lines
1. Are you ready for more?
3. Lesson 5 Summary
4. Lesson 5 Practice Problems
1. 6.1: Number Talk: Missing Addend
1. Are you ready for more?
2. 6.3: Does the Order Matter?
3. Lesson 6 Summary
4. Lesson 6 Practice Problems
1. 7.1: Positive or Negative?
2. 7.2: Phone Inventory
1. Are you ready for more?
3. 7.4: Differences and Distances
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Distance, Rate, Time
2. 8.2: Going Left, Going Right
1. Are you ready for more?
3. Lesson 8 Summary
4. Lesson 8 Practice Problems
1. 9.1: Before and After
2. 9.2: Backwards in Time
1. Are you ready for more?
3. 9.4: Rational Numbers Multiplication Grid
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: Which One Doesn’t Belong: Expressions
2. 10.2: Card Sort: Matching Expressions
1. Are you ready for more?
3. Lesson 10 Summary
4. Lesson 10 Practice Problems
1. 11.1: Tell Me Your Sign
1. Are you ready for more?
2. 11.3: Drilling Down
3. Lesson 11 Summary
4. Glossary
5. Lesson 11 Practice Problems
1. 12.1: Grapes per Minute
2. 12.2: Water Level in the Aquarium
1. Are you ready for more?
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: True or False: Rational Numbers
2. 13.2: Card Sort: The Same But Different
1. Are you ready for more?
3. 13.4: Seagulls and Sharks Again
4. Lesson 13 Summary
5. Glossary
6. Lesson 13 Practice Problems
1. 14.1: Which One Doesn’t Belong: Equations
2. 14.2: Draining and Filling a Tank
1. Are you ready for more?
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
1. 15.1: Number Talk: Opposites and Reciprocals
2. 15.2: Match Solutions
1. Are you ready for more?
3. 15.4: Card Sort: Matching Inverses
4. Lesson 15 Summary
5. Glossary
6. Lesson 15 Practice Problems
1. 16.1: Don't Solve It
2. 16.2: Warmer or Colder than Before?
3. 16.3: Animals Changing Altitudes
1. Are you ready for more?
4. Lesson 16 Summary
5. Lesson 16 Practice Problems
1. 17.1: Revisiting Interest and Depreciation
2. 17.2: Gains and Losses
3. 17.3: What is a Stock Portfolio?
4. 17.4: Your Own Stock Portfolio
1. Lesson 1: Interpreting Negative Numbers
2. Lesson 2: Changing Temperatures
3. Lesson 3: Changing Elevation
4. Lesson 4: Money and Debts
5. Lesson 5: Representing Subtraction
6. Lesson 6: Subtracting Rational Numbers
7. Lesson 7: Adding and Subtracting to Solve Problems
8. Lesson 8: Position, Speed, and Direction
9. Lesson 9: Multiplying Rational Numbers
10. Lesson 10: Multiply!
11. Lesson 11: Dividing Rational Numbers
12. Lesson 12: Negative Rates
13. Lesson 13: Expressions with Rational Numbers
14. Lesson 14: Solving Problems with Rational Numbers
15. Lesson 15: Solving Equations with Rational Numbers
16. Lesson 16: Representing Contexts with Equations
17. Lesson 17: The Stock Market
1. 1.1: Pricing Theater Popcorn
2. 1.2: Entrance Fees
1. Are you ready for more?
3. Lesson 1 Summary
4. Lesson 1 Practice Problems
1. 2.1: Notice and Wonder: Remembering Tape Diagrams
2. 2.2: Every Picture Tells a Story
1. Are you ready for more?
3. Lesson 2 Summary
4. Lesson 2 Practice Problems
1. 3.1: Find Equivalent Expressions
2. 3.2: Matching Equations to Tape Diagrams
1. Are you ready for more?
3. Lesson 3 Summary
4. Glossary
5. Lesson 3 Practice Problems
1. 4.1: Algebra Talk: Seeing Structure
2. 4.2: Situations and Diagrams
1. Are you ready for more?
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
1. 5.1: Algebra Talk: Seeing Structure
2. 5.2: More Situations and Diagrams
1. Are you ready for more?
3. Lesson 5 Summary
4. Lesson 5 Practice Problems
1. 6.1: Which One Doesn’t Belong: Seeing Structure
2. 6.2: Card Sort: Categories of Equations
1. Are you ready for more?
3. Lesson 6 Summary
4. Lesson 6 Practice Problems
1. 7.1: Hanger Diagrams
2. 7.2: Hanger and Equation Matching
3. 7.3: Use Hangers to Understand Equation Solving
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Equivalent to 2(x+3)
2. 8.2: Either Or
3. 8.3: Use Hangers to Understand Equation Solving, Again
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
1. 9.1: Which One Doesn’t Belong: Rational Number Arithmetic
2. 9.2: Old and New Ways to Solve
3. 9.3: Keeping It True
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: Algebra Talk: Solve Each Equation
2. 10.2: Analyzing Solution Methods
3. 10.3: Solution Pathways
4. Lesson 10 Summary
5. Lesson 10 Practice Problems
1. 11.1: Remember Tape Diagrams
2. 11.2: At the Fair
1. Are you ready for more?
3. Lesson 11 Summary
4. Lesson 11 Practice Problems
1. 12.1: 20% Off
2. 12.2: Walking More Each Day
1. Are you ready for more?
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Greater Than One
2. 13.2: The Roller Coaster
1. Are you ready for more?
3. Lesson 13 Summary
4. Lesson 13 Practice Problems
1. 14.1: Solutions to Equations and Solutions to Inequalities
2. 14.2: Earning Money for Soccer Stuff
1. Are you ready for more?
3. Lesson 14 Summary
4. Glossary
5. Lesson 14 Practice Problems
1. 15.1: Lots of Negatives
2. 15.2: Inequalities with Tables
1. Are you ready for more?
3. Lesson 15 Summary
4. Lesson 15 Practice Problems
1. 16.1: Solve Some Inequalities!
2. 16.2: Club Activities Matching
1. Are you ready for more?
3. Lesson 16 Summary
4. Lesson 16 Practice Problems
1. 17.1: Possible Values
2. 17.2: Elevator
1. Are you ready for more?
3. Lesson 17 Summary
4. Lesson 17 Practice Problems
1. 18.1: Number Talk: Additive Inverses
1. Are you ready for more?
3. Lesson 18 Summary
4. Glossary
5. Lesson 18 Practice Problems
1. 19.1: Number Talk: Parentheses
1. Are you ready for more?
2. Lesson 19 Summary
3. Glossary
4. Lesson 19 Practice Problems
1. 20.1: Why is it True?
1. Are you ready for more?
2. 20.3: Making Sides Equal
3. Lesson 20 Summary
4. Lesson 20 Practice Problems
1. 21.1: True or False?
1. Are you ready for more?
2. 21.3: Grouping Differently
3. Lesson 21 Summary
4. Lesson 21 Practice Problems
1. 22.1: Are They Equal?
2. 22.2: X’s and Y’s
3. 22.3: Seeing Structure and Factoring
4. Lesson 22 Summary
5. Lesson 22 Practice Problems
1. 23.1: Algebra Talk: Equivalent to 0.75t-21
2. 23.2: Two Ways to Calculate
3. 23.3: Which Way?
1. Lesson 1: Relationships between Quantities
2. Lesson 2: Reasoning about Contexts with Tape Diagrams
3. Lesson 3: Reasoning about Equations with Tape Diagrams
4. Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
5. Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
6. Lesson 6: Distinguishing between Two Types of Situations
7. Lesson 7: Reasoning about Solving Equations (Part 1)
8. Lesson 8: Reasoning about Solving Equations (Part 2)
9. Lesson 9: Dealing with Negative Numbers
10. Lesson 10: Different Options for Solving One Equation
11. Lesson 11: Using Equations to Solve Problems
12. Lesson 12: Solving Problems about Percent Increase or Decrease
13. Lesson 13: Reintroducing Inequalities
14. Lesson 14: Finding Solutions to Inequalities in Context
15. Lesson 15: Efficiently Solving Inequalities
16. Lesson 16: Interpreting Inequalities
17. Lesson 17: Modeling with Inequalities
18. Lesson 18: Subtraction in Equivalent Expressions
19. Lesson 19: Expanding and Factoring
20. Lesson 20: Combining Like Terms (Part 1)
21. Lesson 21: Combining Like Terms (Part 2)
22. Lesson 22: Combining Like Terms (Part 3)
23. Lesson 23: Applications of Expressions
1. Glossary