2. When a number is multiplied by itself, the product is the square of the number. 3 3 3 x 3 = 9 3 2 = 9 A perfect square is a number that has two identical whole number factors.

3. The following is a list of perfect squares. 1 2 = 1 2 2 = 4 3 2 = 9 4 2 = 16 5 2 = 25 6 2 = 36 7 2 = 49 8 2 = 64 9 2 = 81 10 2 = 100 11 2 = 121 12 2 = 144

4. When the product of two identical factors is a second number, the factor is the square root of the number. Example: 36 has two identical factors, 6 x 6, so the square root of 36 = 6. We can also write square root using a radical sign:

5. Draw these models of square roots in your notes. 2 2 3 3 4 45 6 5 6 98 7 7 8 9

6. Draw these models of square roots on your grid paper. 10 11

7. Draw these models of square roots on your grid paper. 12

8. Which of the following represents 5 2 ? A) B) C) D) 5 2

9. Which of the following represents ? A) B) C) D) 8 2

10. Which diagram represents 8 2 ? A) B) C) D) 8 2 8 10

11. Which of the following does this figure best represent? A) B) C) D)

12. Name 1 2 3 4 5 6 7 8 9 10 11 12 13 14

13. How would you determine the approximate value of an area that does NOT equal a square? Example: What is ? We know it’s in between 2 and 3. Shade in 7 squares. Notice I have a square of 4, which has a root of 2, and then I have 3 out of the 5 left, shaded in, so my answer is.

14. Where would be on the number line below? 012345-5-4-3-2

16. Maurice bought tiles for his square kitchen floor. Each tile is 1 square foot. If the kitchen is 5 feet long by 5 feet wide, how many tiles does he need to cover the floor?

17. Mark has a square shaped tulip bed in his garden. The area of the bed is 400 square feet. mark wants to put a low border fence around the tulip bed. How much fencing will he need? We know area of a square is A=s², so something times itself equals 400.

19. Imperfect Squares

20. What is the square root of 17?

21. What is the square root of 13?

22. What is the square root of 8?

23. What is the square root of 10?

24. What is the square root of 24?

25. Which pair of numbers does go between? a) 1 and 2 b) 2 and 3 c) 3 and 4 d) 4 and 5 1.

26. Which pair of numbers does go between? a) 7 and 8 b) 8 and 9 c) 9 and 10 d) 10 and 11 2.

27. Which pair of numbers does go between? a) 7 and 8 b) 8 and 9 c) 9 and 10 d) 10 and 11 3.

28. Which pair of numbers does go between? a) 8 and 9 b) 9 and 10 c) 10 and 11 d) 11 and 12 4.

29. Which pair of numbers does go between? d) 12 and 13 a) 9 and 10 b) 10 and 11 c) 11 and 12 5.

30. What is the square root of 7?

31. What is the square root of 10?

32. What is the square root of 6?

33. 1)B 2)A 3)B 4)C 5)B 6)A 7)D 8)D 9)B 10)D 11)C 12)B 13)A 14)C -0 = 100 -1 = 93 -2 = 86 -3 = 79 -4 = 71 -5 = 64 -6 = 57 -7 = 50 -8 = 43