1. Squares and Square Roots

2. Context: To use the side length to find the area, square it. To use the area to find the side length, find the square root. * These are opposite procedures. Area = 64 cm 2 8 cm

3. Memorize these Perfect Squares: IntegerSquare 123456789101112131415

4. Memorize these Perfect Squares: IntegerSquare 11 23456789101112131415

5. Memorize these Perfect Squares: IntegerSquare 11 24 3456789101112131415

6. Memorize these Perfect Squares: IntegerSquare 11 24 39 456789101112131415

7. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 56789101112131415

8. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 6789101112131415

9. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 789101112131415

10. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 89101112131415

11. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 9101112131415

12. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 101112131415

13. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 1112131415

14. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 11121 12131415

15. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 11121 12144 131415

16. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 11121 12144 13169 1415

17. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 11121 12144 13169 14196 15

18. Memorize these Perfect Squares: IntegerSquare 11 24 39 416 525 636 749 864 981 10100 11121 12144 13169 14196 15225

19. Ex) Between what 2 integers does 40 lie?

20. lie?Solution:

21. lie? Solution: We know 36 = 6

22. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7 and 49 = 7

23. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7 and 49 = 7 So... So...

24. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 40 40 and 49 = 7 and 49 = 7 So... So...

25. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 40 lies between 6 & 7 40 lies between 6 & 7 and 49 = 7 and 49 = 7 So... So...

26. Ex) Find the square: (-4) 2

27. Solution: (-4) 2 = (-4) x (-4)

28. Ex) Find the square: (-4) 2 Solution: (-4) 2 = (-4) x (-4) = (+16)

29. Ex) Find 2 different square roots of 25.

30. Solution:

31. Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25

32. Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However,

33. Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well.

34. Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well. So, 25 has two square roots;

35. Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well. So, 25 has two square roots; 5 and (-5).