1. SHAPE & SPACE
Squares & Square Roots

2. Review What is the area? Area of a square = s x s = s2 = 4 in x 4 in

3. What is 22 ? 2 8 4 10

4. What is 32 ? 12 9 6 3

5. What is 5 squared ? 10 20 50 25

6. What are those numbers called? (4, 9, 25)
PERFECT SQUARES!!

7. PERFECT SQUARES 2 3 22 = 4 32 = 9 2 3 4 5 42 = 16 52 = 25 4 5 (2x2)

8. Perfect Squares
1, 4, 9, 16, 25 36, 49, 64, 81, , 144, 169, 196, , 289, 324, 361, 400

9. What if we had a square with area:
What is the side length?
100 m2
10 m
10 m x 10 m
= 100 m2
10 m

10. Square Roots

11. What are square roots? Opposite or inverse of squares
Similar to + / − or × / ÷
Represented by:

12. 3 squared or 32 or 3x3 all equal 9
Square Roots
Remember how 32 = 9
What is the inverse of this equation?
9 = What number squared?
3 squared or 32 or 3x3 all equal 9

13. Square Roots
How does that look in square roots? = ? 16
When we see the square root symbol (√) we need to find a number that multiplies itself to get the number inside the square root (16).

14. So what is the number when multiplied by itself gives us 16?
4 x 4 = 16 or 42 = 16 = 4 16

15. Square Roots: Practice√1
√49
√144