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

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Lesson Topic

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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
multidigit repeating decimals to fractions
Quiz
4



Unit 8 Review



Khan
Academy Unit 8 Practice test


