1. Giant bird attacking a woman or a man relaxing on a boat?

2. Today’s agenda
8.1A Notes
Assignment: 8.1A Worksheet 2

3. What am I?
Prime Number:
number whose only factors are 1 and itself

4. I CAN . . .
-simplify square roots.
Lesson 8.1A

5. vocabulary Term With Fractions With Decimals
Evaluate
Simplify
Simplify: answer stays in same form!

6. “jail break” method factor
Step 1: Make a _________ tree Step 2: Circle groups of ____ to break out. Step 3: Only ___ from each pair survives when they break out. Step 4: Any factor without a _________ stays in jail. Step 5: Multiply numbers _________ and __________ of jail. 2 1
partner
inside
outside

7. Example #1
Simplify: 5 10 2 5 2
· 5
· 5 5 2

8. Your turn
Simplify: 6 10 2 3 2 5 2
· 2
· 3
· 5 2 15

9. Example #2 9 5 3 3 3 · 3 · 5 · x · x · x · y · y · y 3 x y 5xy
Simplify: 9 5 3 3 3
· 3
· 5
· x · x
· x
· y · y
· y 3 x y
5xy

10. Your turn 2 · 3 · 3 · a · a · a · b · b · b · b · b 2 3 a b 2ab
Simplify: 2
· 3
· 3
· a · a
· a
· b · b
· b · b
· b 2 3 a b
2ab

11. Example #3
Simplify: 3 5 3
· 3
· 5 3 5

12. Your turn
Simplify: 5 4 2 2
2 · 2
· 2 · 5 2 10

13. Are you a Master? 

14. Today’s assignment
 8.1A Worksheet

15. Pillars of a building OR People facing each other

16. Today’s agenda
8.1B Notes
Assignment: 8.1B Assignment 16

17. Warm-up
a) b) c)

18. I CAN . . .
-simplify other radical expressions.
Lesson 8.1B

19. vocabulary
Term
Definition
Example
Index
Number that tells you the size of the group that can escape
groups of 3

20. Radical expression
radical
index
Radicand
Invisible index = 2

21. Example #1
Simplify 4 4 2 2 2 2 3
2 · 2 · 2
· 2

22. Your turn
Simplify 7 49 7 7 3 7
· 7 · 7 7

23. Example #2
Simplify 27 6 9 3 3 2 3 3 4 2
· 3 · 3 · 3 · 3

24. Your turn
Simplify 12 12 6 2 6 2 3 2 3 2 4
2 · 2 · 2 · 2
· 3 · 3

25. Simplify each radical expression. Pay close attention to the index.
Review problems
Simplify each radical expression. Pay close attention to the index.
a) b) c)

26. Are you a master???
Simplify

27. Today’s assignment
8.1B Worksheet

28. How many faces can you see?

29. Today’s agenda This Week at a Glance 8.2 Notes
Assignment: 8.2 Worksheet 29

30. Warm-up
a) b)

31. I CAN . . .
-multiply radicals & simplify radical expressions by rationalizing the denominator.
Lesson 8.2

32. Multiplying Radicals OR use the Jail Break Method 
What happens when you square a square root??
OR use the Jail Break Method 

33. Let’s try some….
Example 1:
Your Turn:
Your Turn: 9 5 2

34. Rationalizing the denominator
Step 1: Multiply the top & bottom by the _________ in the denominator.
Step 2: ___________ using the Jail Break method.
Step 3: _________ numbers outside of the jail (if needed).
radical
Simplify
Divide

35. Example #1
Simplify

36. Your turn
Simplify

37. Example #2 10
Simplify 5 2
2 · 3
· 5 3 30 3

38. Your turn 25
Simplify 5 5
5 · 5
· 5 5 5 5 5

39. Example #3 15
Simplify 5 3 10
2 · 3 · 5 · 5 5 2 10 5 6 10

40. Your turn 12
Simplify 2 6 3 2
2 · 2 · 2 · 3 · 3 6 6 3 2 6 2 6

41. Review problems
a) b) c)

42. Are you a master???
Simplify

43. Today’s assignment
 8.2 Worksheet

44. Pick a partner.
Stare at the center of the image for 20 seconds.
Now, look at your partner.
Switch.

45. Today’s agenda
8.3 Notes
Assignment: 8.3 Worksheet 45

46. Warm-up
a) b)

47. I CAN . . .
-add and subtract radical expressions.
Lesson 8.3

48. Recall: combining like terms
Example: **when adding & subtracting radicals,
look for like _______________.
example:
radicands

49. Example #1

50. Your turn

51. Example #2 4 5 5 9 2 2 3 3
2 · 2
· 5
3 · 3
· 5 2 5 + 3 5

52. Example #3 16 2 5 10 8 2 5 2 4 2 2 2 3 2
· 5 · 5
2 · 2
· 2 · 2
· 2 +

53. Example #4 9 6 2 12 3 3 3 2 3 4 2 2 2
· 3 · 3
· 3
2 · 2
· 2 ·3 –

54. Example #5 5 4 2 2 –4
2 · 2
· 5

55. Are you a master???

56. Today’s assignment
 8.3 Worksheet

57. Perfect Squares?

58. Today’s agenda
8.4 Notes
Assignment: 8.4 Worksheet 58

59. Warm-up
a) b)

60. The Letter E

61. Today’s agenda
8.4 Notes
Assignment: 8.4 Worksheet 61

62. I CAN . . .
-write expressions with rational exponents in radical form, and vice versa.
Lesson 8.4

63. Radical form exponential form
x = _____________ m = _____________ n = _____________
base
power
root

64. Flower power root rule
Flower/Power
Root
Base

65. Exponential form
Flower/Power
Root 4 3 3
644 = 64
Base

66. exponential form 1 2 16 3 6 4 6 3 5 1 6 5

67. Radical form 8 5 1 5
125 2 4 36 1 4 24 3

68. Positive exponents Step 1: Convert to _________ form.
Step 2: Take the _________ ______.
Step 3: Raise to the ___________.
radical
given root
power

69. Example #1 5 32
2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 3 8 4 4 2 2 2 2 2

70. Example #2 2 9 3
3 ∙ 3 3 3

71. Example #3 3 8 4
2 ∙ 2 ∙ 2 2 4 2 2

72. Are you a master???
Evaluate:

73. Today’s assignment
8.4 Worksheet