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Math 8 Unit 8

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Math 8 Unit 8 - Illustrative Mathematics Online Resources


Grade 8 Illustrative Mathematics – Unit 8: Pythagorean Theorem and Irrational Numbers

Download PDF of Student Edition

Download PDF of Student Practice Work (Homework)

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



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