Unit 8

Section A: Side Lengths and Areas of Squares

• Lesson 1: The Areas of Squares and Their Side Lengths

  Let’s investigate the squares and their side lengths.

  • Lesson Activities
  • Practice Problems

• Lesson 2: Side Lengths and Areas

  Let’s investigate some more squares.

  • Lesson Activities
  • Practice Problems

• Lesson 3: Rational and Irrational Numbers

  Let’s learn about irrational numbers.

  • Lesson Activities
  • Practice Problems

• Lesson 4: Square Roots on the Number Line

  Let’s explore square roots.

  • Lesson Activities
  • Practice Problems

• Lesson 5: Reasoning About Square Roots

  Let’s approximate square roots.

  • Lesson Activities
  • Practice Problems

Section B: The Pythagorean Theorem

• Lesson 6: Finding Side Lengths of Triangles

  Let’s find triangle side lengths.

  • Lesson Activities
  • Practice Problems

• Lesson 7: A Proof of the Pythagorean Theorem

  Let’s prove the Pythagorean Theorem.

  • Lesson Activities
  • Practice Problems

• Lesson 8: Finding Unknown Side Lengths

  Let’s find missing side lengths of right triangles.

  • Lesson Activities
  • Practice Problems

• Lesson 9: The Converse

  Let’s figure out if a triangle is a right triangle.

  • Lesson Activities
  • Practice Problems

• Lesson 10: Applications of the Pythagorean Theorem

  Let’s explore some applications of the Pythagorean Theorem.

  • Lesson Activities
  • Practice Problems

• Lesson 11: Finding Distances in the Coordinate Plane

  Let’s find distances in the coordinate plane.

  • Lesson Activities
  • Practice Problems

Section C: Side Lengths and Volumes of Cubes

• Lesson 12: Edge Lengths and Volumes

  Let’s explore the relationship between volume and edge lengths of cubes.

  • Lesson Activities
  • Practice Problems

• Lesson 13: Cube Roots

  Let’s compare cube roots.

  • Lesson Activities
  • Practice Problems

Section D: Decimal Representation of Rational and Irrational Numbers

• Lesson 14: Decimal Representations of Rational Numbers

  Let’s learn more about how rational numbers can be represented.

  • Lesson Activities
  • Practice Problems

• Lesson 15: Infinite Decimal Expansions

  Let’s think about infinite decimals.

  • Lesson Activities
  • Practice Problems

Section E: Let’s Put It to Work

• Lesson 16: When Is the Same Size Not the Same Size?

  • Let’s figure out how aspect ratio affects screen area.

  • Lesson Activities