1. (Day 1) Bellwork 8/20/2018
Log on to IXL & complete one of the following levels based on your week2 quiz results. 
(8.NS.A.1)(1-4)decimals & fractions (8-D.4)
(8.EE.A.2)(5-8)squares (8-F.15) 
(8.EE.A.2)(9-12)cubes (8-F.20)
(8.NS.A.2)(13-20)Estimate square roots (8-F.16)
Didn’t miss any...
(8.EE.A.1)Understanding exponents (8-F.1)

2. Properties of Exponents
8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
I can write numbers and expressions using exponents accurately 4/5 times
I can evaluate expressions with exponents accurately 4/5 times.

3. OBJECTIVES:
Evaluate simple exponential expressions
Multiply monomials

4. Vocabulary
Power- product of repeated factors (includes exponent and base)
Exponent- tells how many times the base is used as a factor
Base- common factor
Expanded Form
Exponential Form

5. Exponential and Expanded Form
We write numbers in exponential form when the same number is being multiplied repeatedly.
Exponential Form BASE EXPONENT 34
Expanded Form 3×3×3×3

6. Change the following to either exponential or expanded form.
23    
7×7×7×7×7×7        
a2     
b×b×b×b

7. Examples

8. Example 2
Question: What is one aspect of this process that can be confusing?
  How can you prevent from making mistakes?

9. Got it? P. 16

10. Evaluating Powers
When we evaluate powers, we are actually finding an answer by repeated multiplication
Ex: = 12 x 12 = _______

11. Evaluating powers examples p.17

12. Evaluating expressions with exponents

13. Evaluating expressions
Review: evaluate the expression if x=5
                 20x
substitute 5 for x
   20 (5) =______

15. Got it? P.18

16. Properties of Exponents
When using exponents we have 6 basic properties:
Product Rule
Quotient Rule
Power Raised to a Power
Product Raised to a Power
Zero Exponent
Negative Exponents

17. Vocabulary 

18. The Product Rule- Multiplying Like Bases
To multiply two numbers with the same base, add the exponents.  
Begin by having the students write it in expanded form. Have the students count the number of “4’s” that are listed and see that it is 7. Ask them if there is another way to get a 7 from the numbers given.
Ask the students to come up with a problem and work it on their notes. Then have them tell their problem to another person and have them work theirs.

19. Examples

20. Explanation using expanded form

22. Let's try this one together...

23. Try this one on your own...

24. Ex. 
Sometimes the monomials include constants in addition to bases & exponents. 

26. Try these on your own. Check answers with your partner.

27. Reflection:
How can I write numbers using exponents?
When could I use exponents in my daily life?

28. CLEAR DESK & GET READY TO TAKE THE MCAP 

29. Exit Ticket 8/20

30. (Day 2) Bellwork 8/21/18 

31. More Practice with the Product Rule

32. The Quotient Rule- Dividing Like Bases
To divide two numbers with the same base, subtract the exponents.   34 32
Begin by having them to expand the numbers and work it out. Then have then put it back to 3 as a base. They should get 3^2.
Have the students come up with their own problem and work it. They will switch their problem with another student and work it.
Make sure to show as a fraction as well….not only with the division sign.

34. What happens when you divide a number by itself?
4 4

35. Explanation using expanded form

36. What is the common base?
EXPAND…

40. Think-Pair-Share

42. Solution

43. Try this one on your own...

47. Try this one on your own...

48. Independent practice.

49. Bellwork 8/22/18

50. The Power rule Exponents Day 3!
Begin by having the students write out the problem. Refer to notes.

51. Example: (23)2 Can you think of a quicker way to do this?
Write in expanded form to better understand how many 2s are really there.
Example: (23)2 Can you think of a quicker way to do this?

52. To find the power of a power, multiply the exponents.
Steps: 1.) insert ALL the invisable 1 exponents 2.) Keep the base(s) 3.) multiply ALL interior exponents by the exterior exponent. (*think distributive property) 4.) Simplify if possible

53. Example 1

54. Examples 2 & 3
2.) )

55. Compare & contrast these two problems. How are the steps different?
Power of a power Power of a product

56. Example 4

57. Examples 5 & 6
5.) )

58. Independent Practice Textbook page. 35 (1-13)

59. IXL Levels (F.8) Product Rule (F.9) Quotient Rule (F.11) Powers
You can earn a piece of candy for Every Gold medal!

60. Bellwork 8/23/18
1.)
2.)
3.)

61. Review Day You must complete ATLEAST 3 stations
1 Product station
1 Quotient station
1 Power station
YOU CHOOSE the method of review
that is best for YOU.
You do not have to complete all 3 stations
using the same method.

62. Bellwork 8/24/18
1.) ) )
4.) )

63. 16 questions Multiple choice, multiple select, and fill in the blank
Quiz Time On canvas
16 questions
Multiple choice, multiple select, and fill in the blank

64. After Quiz To-DO list
1.) Complete Monday & Tuesday boxes on classwork sheet.
2.) Finish IXL diagnostic
3.) Make a FLIPGRID explaining one of the
exponent rules we learned this week.

65. Bellwork 8/27/18
1.) ) )
4.) ) )

68. Why do negative exponents exist?
Complete the chart to find out
Exponent form
Standard
Form
𝟐 𝟑
𝟐 𝟐
𝟐 𝟏
𝟐 𝟎
𝟐 −𝟏
𝟐 −𝟐
𝟐 −𝟑 4
What kind of pattern do you notice?

69. Negative Exponents What is a reciprocal?
If the exponent is a negative integer, the expression is equal to the reciprocal of the expression with a positive exponent.
What is a reciprocal?
How do get the reciprocal of a number?
Have students make their own problems again and work out each others.

70. The reciprocal of 2 is _______
Reciprocal RECAP
The reciprocal of 𝟏 𝟑 is _______
“What is another mathematical phrase often used that means the same thing?”
The reciprocal of 2 is _______

71. Example 1- How would you evaluate

72. Example 2-

74. What steps might you take if a positive exponent is given and you want to produce the negative equivalent?

75. Example 3 ….Working backwards

76. Try this one on your own

77. Example 4

78. One more!

80. What types of jobs/careers might use exponents in their work?

81. Example 5 (Real world Link)

82. Try this on your own…

84. How could you use what you already know about exponents to prove that 30 = 1?

85. Zero Exponent
The value of any expression with a zero exponent is 1. What ideas justify this theory?

86. Examples-
1.) 𝟔 𝟎 =
2.) −𝟐 𝟎 =
3.) 𝒙 𝟎 =

87. Take time now to complete the practice problems on your classwork handout.
Pg. 47 (1-8)

88. 1.) )

89. Bellwork 8/28/18 express using positive exponents
𝟔 𝟎
Bellwork 8/28/18 express using positive exponents
1.) ) )

91. Negative exponents within other types of problems
𝟔 𝟎
Based on what you know about exponents, how would you solve the following problem?

92. How many equivalent solutions would the following problem have?
𝟔 𝟎
How could you justify your answer?

93. THREE EQUIVALENT SOLUTIONS
THREE EQUIVALENT SOLUTIONS! *hint: you may see this in SELECT ALL type questions on tests* = =

94. Try this one on your own:
𝟔 𝟎
Try this one on your own:
What rule is this?

95. Try these on your own…. Use the product rule then the negative rule.
𝟔 𝟎

96. How about this one:
𝟔 𝟎
Which rule is it?

97. What steps would you take to simplify the following expression?
What rule is this?
𝟔 𝟎

98. 𝟔 𝟎

99. Simplify using positive exponents
𝟔 𝟎
What rule
is this?

100. What rule(s) does this look like?
𝟔 𝟎

101. Last one….
𝟔 𝟎

102. Textbook page 47 (11-18)

103. IXL 8th grade (F.6) & (F.7)

104. Go to goformative.com & enter your class code to join.
Exit ticket
Go to
goformative.com
& enter your
class code
to join.

106. Bellwork 8/29/18
IXL Level F.6 & F.7

107. Scoot Complete each problem as you move to each desk in the room
Scoot Complete each problem as you move to each desk in the room. *Write down the problem!* You will only have 90 seconds at each problem. If you run out of time before you are finished, you will probably have time to finish it later at an easier problem.

108. GOFORMATIVE.COM your class code is BXSZTH
Bellwork 8/30/18
GOFORMATIVE.COM
your class code is BXSZTH

109. Go over scoot answers

110. Exponents study guide 20 minutes of working on your own
If you cant remember, check notes or skip.
10 minutes to discuss concerns/check answers with your partner.

111. Bellwork 8/31/18
1.) ) )
4.) ) )

112. Quizizz Review join.quizizz.com game code:

113. Goformative.com Class Code LGJXCF