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
      2. 18.2: A Helpful Observation
        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
    1. Image Attributions
  2. Notes
  3. Notes
 
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