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Unit 8 - Lesson 1 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 8
Lesson 1: The Areas of Squares and Their Side Lengths
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 8
Lesson 1: The Areas of Squares and Their Side Lengths
CC BY 2021 Illustrative Mathematics®
Lesson: The Areas of Squares and Their Side Lengths

Two Regions (Warm Up)

1.

Which shaded region is larger? Explain your reasoning.

Decomposing to Find Area

2.

Find the area of the shaded square (in square units).

3.

Find the area of the shaded square (in square units).

4.

Find the area of the shaded square (in square units).

Estimating Side Lengths from Areas

5.

What is the side length of square A? What is its area?


6.

What is the side length of square C? What is its area?


7.

What is the area of square B? What is its side length?


8.

Find the areas of squares D, E, and F. Which of these squares must have a side length that is greater than 5 but less than 6? Explain how you know.


Making Squares (Optional)

Your teacher will give your group a sheet with three squares and 5 cut out shapes labeled D, E, F, G, and H. Use the squares to find the total area of the five shapes. Assume each small square is equal to 1 square unit.
Cool Down: It's a Square

It's a Square

9.

Find the area and side length of square ACEG.