Unit 8, Lesson 3
Square Roots
Grade 8
3.1
Warm-up
The Sides and Areas of Tilted Squares
Find the area of each square and estimate the side lengths using your geometry toolkit. Then write the exact length for the sides of each square.
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Find the area of each square and estimate the side lengths using your geometry toolkit. Then write the exact length for the sides of each square.
| side length, |
0.5 | 1.5 | 2.5 | 3.5 | ||||
|---|---|---|---|---|---|---|---|---|
| area, |
1 | 4 | 9 | 16 |
| side length, |
4.5 | 5.5 | 6.5 | 7.5 | ||||
|---|---|---|---|---|---|---|---|---|
| area, |
25 | 36 | 49 | 64 |
Plot the points,
Use the graph to approximate
The value of
There are 3 squares on a square grid, arranged in order of area, from smallest, on the left, to largest, on the right. The left most square is aligned to the grid and has side lengths of 3 with an area of 9. The middle square is tilted on the grid so that its sides are diagonal to the grid. The square is labeled with a side length of square root of 10 and an area of 10. The right most square is aligned to the grid and has side lengths of 4 with an area of 16.