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 2: Side Lengths and Areas
Let’s investigate some more squares.
Lesson 3: Rational and Irrational Numbers
Let’s learn about irrational numbers.
Lesson 4: Square Roots on the Number Line
Let’s approximate square roots.
Section B: The Pythagorean Theorem
Lesson 5: Finding Side Lengths of Triangles
Let’s find triangle side lengths.
Lesson 6: A Proof of the Pythagorean Theorem
Let’s prove the Pythagorean Theorem.
Lesson 7: The Converse
Let’s figure out if a triangle is a right triangle.
Lesson 8: Applications of the Pythagorean Theorem
Let’s explore some applications of the Pythagorean Theorem.
Lesson 9: Finding Distances in the Coordinate Plane
Let’s find distances in the coordinate plane.
Section C: Decimal Representation of Rational and Irrational Numbers
Lesson 10: Edge Lengths, Volumes, and Cube Roots
Let’s explore the relationship between volume and edge lengths of cubes.
Lesson 11: Decimal Representations of Rational Numbers
Let’s learn more about how rational numbers can be represented.
Lesson 12: Infinite Decimal Expansions
Let’s think about infinite decimals.
Section D: Let’s Put It to Work
Lesson 13: When Is the Same Size Not the Same Size?
Let’s figure out how aspect ratio affects screen area.