The Pythagorean Theorem and Irrational Numbers

Grades: 8th Grade

• Overview

• 8.8 Unit Overview

• Pre-Unit

• 8.8 Pre-Unit Check

• Sub-Unit 1: Square Roots and Cube Roots

  Students represent square roots and cube roots as the side and edge lengths of squares and of cubes and approximate their values.

• Tilted Squares
• From Squares to Roots
• Between Squares
• Root Down
• Filling Cubes
• 8.8 Practice Day 1
• 8.8 Sub-Unit Quiz

• Sub-Unit 2: The Pythagorean Theorem

  Students explore side lengths of right triangles using their knowledge of the areas of tilted squares. They also explain a proof of the Pythagorean theorem and its converse, and use the Pythagorean theorem to calculate lengths and distances on and off the coordinate plane.

• The Pythagorean Theorem
• Pictures to Prove It
• Triangle-Tracing Turtle
• Taco Truck
• Pond Hopper

• Sub-Unit 3: Rational and Irrational Numbers

  Students classify numbers as rational or irrational, revisiting square roots and cube roots

• Fractions to Decimals
• Decimals to Fractions
• Hit the Target
• 8.8 Practice Day 2

• End-Unit

• 8.8 End-of-Unit Assessments

• Resources

• 8.8 Lesson Practice
• 8.8 Additional Practice
• 8.8 Show What You Knows

• Differentiation and Personalized Learning

• 8.8 Differentiation and Personalized Learning