Unit 5

Section A: Representing Proportional Relationships with Equations

• Lesson 1: Proportional Relationships and Equations

  Let’s write equations describing proportional relationships.

  • Lesson Activities
  • Practice Problems

• Lesson 2: Two Equations for Each Relationship

  Let’s investigate the equations that represent proportional relationships.

  • Lesson Activities
  • Practice Problems

• Lesson 3: Using Equations to Solve Problems

  Let’s use equations to solve problems involving proportional relationships.

  • Lesson Activities
  • Practice Problems

Section B: Comparing Proportional and Nonproportional Relationships

• Lesson 4: Comparing Relationships with Tables

  Let’s explore how proportional relationships are different from other relationships.

  • Lesson Activities
  • Practice Problems

• Lesson 5: Comparing Relationships with Equations

  Let’s develop methods for deciding if a relationship is proportional.

  • Lesson Activities
  • Practice Problems

• Lesson 6: Solving Problems About Proportional Relationships

  Let’s solve problems about proportional relationships.

  • Lesson Activities
  • Practice Problems

Section C: Representing Proportional Relationships with Graphs

• Lesson 7: Graphs of Proportional Relationships

  Let’s see how graphs of proportional relationships differ from graphs of other relationships.

  • Lesson Activities
  • Practice Problems

• Lesson 8: Using Graphs to Compare Relationships

  Let’s graph more than one relationship on the same grid.

  • Lesson Activities
  • Practice Problems

• Lesson 9: Two Graphs for Each Relationship

  Let’s use tables, equations, and graphs to answer questions about proportional relationships.

  • Lesson Activities
  • Practice Problems

Section D: Circumference of a Circle

• Lesson 10: How Well Can You Measure?

  Let’s see how accurately we can measure.

  • Lesson Activities
  • Practice Problems

• Lesson 11: Exploring Circles

  Let’s explore circles.

  • Lesson Activities
  • Practice Problems

• Lesson 12: Exploring Circumference

  Let’s explore the circumference of circles.

  • Lesson Activities
  • Practice Problems

• Lesson 13: Applying Circumference

  Let’s use to solve problems.

  • Lesson Activities
  • Practice Problems

Section E: Area of a Circle

• Lesson 14: Estimating Areas

  Let’s estimate the areas of weird shapes.

  • Lesson Activities
  • Practice Problems

• Lesson 15: Area of a Circle

  Let’s investigate the areas of circles.

  • Lesson Activities
  • Practice Problems

• Lesson 16: Applying Area of Circles

  Let’s find the areas of shapes made up of circles.

  • Lesson Activities
  • Practice Problems

Section F: Let’s Put It to Work

• Optional

  Lesson 17: Four Representations

  Let’s contrast relationships that are and are not proportional in four different ways.

  • Lesson Activities
  • Practice Problems
• Optional

  Lesson 18: Using Water Efficiently

  Let’s investigate saving water.

  • Lesson Activities
• Optional

  Lesson 19: Distinguishing Circumference and Area

  Let’s contrast circumference and area.

  • Lesson Activities
  • Practice Problems
• Optional

  Lesson 20: Stained-Glass Windows

  Let’s use circumference and area to design stained glass windows.

  • Lesson Activities