Grade 8 Illustrative Mathematics – Unit 8: Pythagorean Theorem and Irrational Numbers |
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Unit Summary for Parents – PDF File |
Lesson Topic | IM Lesson | Khan Academy Support Videos | Khan Academy Online Practice | Class Notes | Lesson Summary & Homework Help |
Lesson 1 – The Areas of Squares and Their Side Lengths | Lesson 1 | | | | 8.8.1 Morgan |
Lesson 2 – Side Lengths and Areas | Lesson 2 | | Square roots Roots of decimals and fractions | | 8.8.2 Morgan |
Lesson 3 – Rational and Irrational Numbers | Lesson 3 | Intro to rational and irrational numbers Classifying numbers: rational and irrational | Classify numbers: rational and irrational | | 8.8.3 Morgan |
Lesson 4 – Square Roots on the Number Line | Lesson 4 | Approximating square roots to hundredths | Comparing irrational numbers with a calculator | | 8.8.4 Morgan |
Lesson 5 – Reasoning About Square Roots | Lesson 5 | Approximating square roots Classifying numbers | Approximating square roots Comparing irrational numbers Comparing irrational numbers with a calculator Quiz 1 | | 8.8.5 Morgan |
Lesson 6 – Finding Side Lengths of Triangles | Lesson 6 | Intro to Pythagorean theorem | Use of squares to visualize Pythagorean theorem | | 8.8.6 Morgan |
Lesson 7 – A Proof of the Pythagorean Theorem | Lesson 7 | Bhaskara’s proof of the Pythagorean theorem | | | 8.8.7 Morgan |
Lesson 8 – Finding Unknown Side Lengths | Lesson 8 | Pythagorean theorem example | Use Pythagorean theorem to find right triangle side lengths | | 8.8.8 Morgan |
Lesson 9 – The Converse | Lesson 9 | | Right triangle side lengths | | 8.8.9 Morgan |
Lesson 10 – Applications of the Pythagorean Theorem | Lesson 10 | Pythagorean theorem word problem: carpet Pythagorean theorem word problem: fishing boat Pythagorean theorem proof using similarity Another Pythagorean theorem proof | Pythagorean theorem word problems Pythagorean theorem in 3D | | 8.8.10 Morgan |
Lesson 11 – Finding Distances in the Coordinate Plane | Lesson 11 | | Use Pythagorean theorem to find perimeter Distance between two points Quiz 2 | | 8.8.11 Morgan |
Lesson 12 – Edge Lengths and Volumes | Lesson 12 | Dimensions of a cube from its volume | Cube roots | | 8.8.12 Morgan |
Lesson 13 – Cube Roots | Lesson 13 | | Equations with square roots and cube roots Equations with square roots: decimals and fractions Square and cube challenge Quiz 3 | | 8.8.13 Morgan |
Lesson 14 – Decimal Representations of Rational Numbers | Lesson 14 | Converting a fraction to a repeating decimal | Writing fractions as repeating decimals | | 8.8.14 Morgan |
Lesson 15 – Infinite Decimal Expansions | Lesson 15 | Converting repeating decimals to fractions Part 1 Converting repeating decimals to fractions Part 2 | Converting repeating decimals to fractions Converting multi-digit repeating decimals to fractions Quiz 4 | | |
Unit 8 Review | | | Khan Academy Unit 8 Practice test | | |