This document contains notes and exercises on square roots and rational/irrational numbers from math class over several days. It includes definitions of squaring a number and taking the square root. There are examples of putting square roots between consecutive integers and determining if numbers are rational or irrational. Students worked on homework problems involving evaluating expressions with square roots and rounding answers. A quiz on classifying numbers and operations with square roots is outlined.

1. Mercredi 1er Septembre Warm up

2. HW Corrections 3. 4 4. 400 5. 1 6. 81 7. 9 8. 16 9. 10. √9 + 16 11. √64/4 12. 2√100 - 75

3. Review: What does it mean to Square a number? What does it mean to take the Square Root?

4. What do we do if asked to find the square root of a number and the answer is not a whole number? 1) Use the CALCULATOR Round to the nearest thousandth the following numbers √8 √50 Round to the nearest tenth the following numbers √80 √45

5. 2) Put the number in between 2 integers

6. Putting numbers on a number line √8 -5 5 -1 -2 -3 -4 1 2 0 3 4 √50 10 8 9 1 0 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

7. Applications with partner

9. Jeudi 2 Septembre Warm up ·Put the following square roots between 2 consecutive integers √110 -√50 ·Round the following expressions to the nearest tenth √17 √62 √70

10. Homework correction 2. -√72 3. √200 4. -√340 5. Round to the nearest tenth 6. √83 7. √91.5 8. √650 9.√190

11. Where do square roots fit in our number map?

12. ·If the square root of a number is a whole number or a terminating decimal, it's rational Ex : ·If the square root of a number is a non terminating decimal, you can be sure it's irrational Ex:

13. Rational or irrational ?

14. Study guide Rational or irrational? Putting square root between 2 integers Square roots and order of operations Finding and rounding square roots

15. Review game

16. -4

21. √121 - 12 √25 - 9 2

22. Round the following number to the nearest tenth √62 √27 √71

24. Vendredi 3 Septembre Warm up

25. Study guide check

26. Quiz # 1 Determine wether the following numbers are rational or irrational (explain why) : 1. 5/7 2. -4 3. 2.3434... 4. √50 5. √64 6. π

27. Using the order of operations, find the value of the following expressions 7. 7 - √16 11. 3√25 + 5 8. √49 - 8 9. √100 - 36 10. √36 3

28. Put the following irrational numbers between 2 consecutive integers 12. √30 13. √90 14. -√36 15. Order the following numbers from least to greatest 3 , 2/3 , √10 , 22 , √4

29. Round the following square roots to the nearest tenth: 16. √83 17. √12 18. √1223 Round the following square roots to the nearest hundredth: 19. √77 20. √24

30. Plot the following numbers on the number line: 21. √2 22. √100 23. √47 24. -√25 10 8 9 1 0 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

31. 25. Complete the map of numbers