1. 5 Minute Check Complete in your notebook. 1. 7 · 7 · 7 = 2. 2 · 2 · 2 = 3. 9 · 9 · 9 · 9 = 4 1 4. 5 - 2 1 5 5. 3 10 - 2 6

2. 5 Minute Check Complete in your notebook. 1. 7 · 7 · 7 =

3. 5 Minute Check Complete in your notebook. 1. 7 · 7 · 7 = 343

4. 5 Minute Check Complete in your notebook. 2. 2 · 2 · 2 =

5. 5 Minute Check Complete in your notebook. 2. 2 · 2 · 2 = 8

6. 5 Minute Check Complete in your notebook. 3. 9 · 9 · 9 · 9 =

7. 5 Minute Check Complete in your notebook. 3. 9 · 9 · 9 · 9 = 6561

8. 5 Minute Check Complete in your notebook. 4 1 4. 5 - 2

9. 5 Minute Check Complete in your notebook. 4 1 4. 5 - 2 4 · 2 1 · 5 5 · 2 - 2 · 5 8 5 3 10 - 10 = 10

10. 5 Minute Check Complete in your notebook. 1 5 5. 3 10 - 2 6

11. 5 Minute Check Complete in your notebook. 1 5 5. 3 10 - 2 6 31 17 10 - 6 = 31 · 3 17 · 5 10 · 3 - 6 · 5 93 85 8 4 30 - 30 = 30 = 15

12. Monday, Nov 18 Lesson 6.1 Powers and Exponents

13. Objective: To understand how to represent numbers using exponents.

14. Powers and Exponents At the end of this lesson you should be able to answer the following question. How is using exponents helpful?

15. Powers and Exponents Fitness Fortress recycles plastic water bottles. On Saturday, 8 bottles were placed in the bins. On Sunday, 8 bottles were recycled.

16. Powers and Exponents You can use bar diagrams to represent the number of bottles recycled. Use a second bar to represent the number of bottles recycled on Sunday.

17. Powers and Exponents You can use bar diagrams to represent the number of bottles recycled. Use a second bar to represent the number of bottles recycled on Sunday. Saturday Sunday 8 bottles

18. Powers and Exponents We can also write this as an addition expression. How many terms are in the expression? 8 + 8 = Saturday Sunday 8 bottles

19. Powers and Exponents We can also write this as an addition expression. How many terms are in the expression? 2 8 + 8 = Saturday Sunday 8 bottles

20. Powers and Exponents We can also write this as an addition expression. Would the answer represent a sum, product or quotient? 8 + 8 = Saturday Sunday 8 bottles

21. Powers and Exponents We can also write this as an addition expression. Would the answer represent a sum, product or quotient? Sum 8 + 8 = Saturday Sunday 8 bottles

22. Powers and Exponents We can also write this as an multiplication expression. Would the answer represent a sum, product or quotient? 2 x 8 = Saturday Sunday 8 bottles

23. Powers and Exponents We can also write this as an multiplication expression. Would the answer represent a sum, product or quotient? Product 2 x 8 = Saturday Sunday 8 bottles

24. Powers and Exponents Some expressions can be written as the product of a sum. For example, 2 x (1 + 4). The expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4).

25. Powers and Exponents The expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4). Which factor is a sum?

26. Powers and Exponents The expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4). Which factor is a sum? 1 + 4

27. Powers and Exponents Using a bar diagram 2 x (1 + 4) can be written as follows. 1 1 4 4

28. Powers and Exponents Complete questions 7- 21 on pages 431-432 with a partner. You have 15 minutes. Reminders-factors are something you multiply to get a product.

29. Powers and Exponents

50. Numbers expressed using exponents are called powers. e.g. 100 is a power of 10 because it can be written as 10².

51. Powers and Exponents Numbers expressed using exponents are called powers. A perfect square is a number that is made by squaring a whole number. e.g. 100 is a perfect square because 10²=100

52. Powers and Exponents To write powers as products, determine the base and the exponent. e.g. The base of 10² is 10 and the exponent is 2. 10² is read ten squared. 10³ is read ten cubed.

53. Powers and Exponents What is the difference between an expression and an equation?

54. Powers and Exponents What is the difference between an expression and an equation? An equation has an equal sign. An expression has no equal sign, but has an operation.

55. Powers and Exponents A number that is “squared” represents a two dimensional shape.

56. Powers and Exponents A number that is “cubed” represents a three dimensional shape.

57. Powers and Exponents Write 6 · 6 · 6 using an exponent.

58. Powers and Exponents Write 6 · 6 · 6 using an exponent. 6 · 6 · 6 = 6³

59. Powers and Exponents Write 4 · 4 · 4 · 4 · 4 using an exponent. Do this on your own.

60. Powers and Exponents Write 4 · 4 · 4 · 4 · 4 using an exponent. 4 · 4 · 4 · 4 · 4 = 4 ⁵

61. Powers and Exponents Write 7 · 7 · 7 · 7 using an exponent.

62. Powers and Exponents Write 7 · 7 · 7 · 7 using an exponent. 7 · 7 · 7 · 7 = 7 ⁴

63. Powers and Exponents Write 5² as an expression with the same factors.

64. Powers and Exponents Write 5² as an expression with the same factors. 5 · 5 What is the product?

65. Powers and Exponents Write 5² as an expression with the same factors. 5 · 5 = 25

66. Powers and Exponents Write 2 ⁴ as an expression with the same factors and then find the product. Do this on your own.

67. Powers and Exponents Write 2 ⁴ as an expression with the same factors and then find the product. 2 · 2 · 2 · 2

68. Powers and Exponents Write 2 ⁴ as an expression with the same factors and then find the product. 2 · 2 · 2 · 2 = 16

69. Powers and Exponents Write ( )³ as an expression with the same factors and then find the product. Do this on your own.

70. Powers and Exponents Write ( )³ as an expression with the same factors and then find the product. · ·

71. Powers and Exponents Write ( )³ as an expression with the same factors and then find the product. · · =

72. Powers and Exponents Write 1.5² as an expression with the same factors and then find the product. Do this on your own.

73. Powers and Exponents Write 1.5² as an expression with the same factors and then find the product. 1.5 · 1.5

74. Powers and Exponents Write 1.5² as an expression with the same factors and then find the product. 2 1.5 · 1.5 = 2.25 1.5 x 1.5 7 5 1 5 0 2.2 5

75. Powers and Exponents Write 10 ⁵ as an expression with the same factors and then find the product. Do this on your own.

76. Powers and Exponents Write 10 ⁵ as an expression with the same factors and then find the product. 10 · 10 · 10 · 10 · 10

77. Powers and Exponents Write 10 ⁵ as an expression with the same factors and then find the product. 10 · 10 · 10 · 10 · 10 = 100,000

78. Powers and Exponents How is using exponents helpful?

79. Powers and Exponents Agenda Notes Homework – Homework Practice 6-1 Due Tuesday, Nov 19 Show all work! Mid-Chapter 6 Quiz–Friday, Nov 22