1. 5 Minute Check Complete in your notes. Simplify each expression.
· (w · 3)
(32 + e) + 14
· (c · )
(4 + r) + 5

2. 5 Minute Check
Complete in your notes. Simplify each expression · (w · 3)

3. 5 Minute Check
Complete in your notes. Simplify each expression · (w · 3) 12 · w · 3 36w

4. 5 Minute Check
Complete in your notes. Simplify each expression. 2. (32 + e) + 14

5. 5 Minute Check
Complete in your notes. Simplify each expression. 2. (32 + e) e e

6. 5 Minute Check Complete in your notes. Simplify each expression.

7. 5 Minute Check Complete in your notes. Simplify each expression.

8. 5 Minute Check
Complete in your notes. Simplify each expression. 4. (4 + r) + 5

9. 5 Minute Check
Complete in your notes. Simplify each expression. 4. (4 + r) r r

10. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

11. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

12. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

13. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

14. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

15. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

16. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

17. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

18. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

19. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

20. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

21. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

22. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

23. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

24. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

25. 5 Minute Check
Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) r + 5

26. Lesson 6.6 The Distributive Property
Monday, Jan 11
Lesson 6.6 The Distributive Property

27. The Distributive Property
Objective: To use the Distributive Property to rewrite algebraic expressions.

28. The Distributive Property
Distributive Property (DP) – To multiply a sum by a number, multiply each addend by the number outside the parenthesis. e.g. 4 · (3 + 1) = 4 · · 1= = 16 e.g. 4 · (a + 1) = 4 · a + 4 · 1 or 4a + 4 The word distribute means to share.

29. The Distributive Property

30. The Distributive Property
A term can be a single number or variable or numbers and variables multiplied together and separated by addition or subtraction. e.g. 4x + 4 This expression has 2 terms.

31. The Distributive Property
A coefficient is the numerical factor of a term that contains a variable. e.g. 4x + 4 In this expression there is only one term that has a variable and the coefficient is 4.

32. The Distributive Property
A term without a variable is called a constant. e.g. 4x + 4 Constant.

33. The Distributive Property
Like terms are terms that contain the same variable. Only like terms can be added or subtracted. e.g. 4x x Like terms

34. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) Using the Distributive Property to Simplify Expressions Step 1 – Multiply the factor outside the parenthesis by the first term inside the parenthesis.

35. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) 2x Using the Distributive Property to Simplify Expressions Step 1 – Multiply the factor outside the parenthesis by the first term inside the parenthesis.

36. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) 2x Using the Distributive Property to Simplify Expressions Step 2 – Bring the operation inside the parenthesis to the new expression.

37. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) 2x + Using the Distributive Property to Simplify Expressions Step 2 – Bring the operation inside the parenthesis to the new expression.

38. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) 2x + Using the Distributive Property to Simplify Expressions Step 3 – Multiply the factor outside the parenthesis by the second term inside the parenthesis.

39. The Distributive Property
Use the Distributive Property to rewrite the expression. 2(x +3) 2x + 6 Using the Distributive Property to Simplify Expressions Step 3 – Multiply the factor outside the parenthesis by the second term inside the parenthesis.

40. The Distributive Property
Use the Distributive Property to rewrite the expression. 8 (x + 4) Step 1 - ?

41. The Distributive Property
Use the Distributive Property to rewrite the expression. 8 (x + 4) 8x Step 2 - ?

42. The Distributive Property
Use the Distributive Property to rewrite the expression. 8 (x + 4) 8x + Step 3 - ?

43. The Distributive Property
Use the Distributive Property to rewrite the expression. 8 (x + 4) 8x + 32

44. The Distributive Property
Use the Distributive Property to rewrite the expression. 5 (9 + r) Do this on your own.

45. The Distributive Property
Use the Distributive Property to rewrite the expression. 5 (9 + r) r

46. The Distributive Property
Use the Distributive Property to rewrite the expression. 3(t - 6) Do this on your own.

47. The Distributive Property
Use the Distributive Property to rewrite the expression. 3(t - 6) 3t - 18

48. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) Do this on your own.

49. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) s

50. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) s How can we prove the Distributive Property works?

51. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) s How can we prove the Distributive Property works? What if s = 3, what is 7(6 + s) = ?

52. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) s How can we prove the Distributive Property works? What if s = 3, what is 7(6 + s) = 63 What is s = ?

53. The Distributive Property
Use the Distributive Property to rewrite the expression. 7(6 + s) s How can we prove the Distributive Property works? What if s = 3, what is 7(6 + s) = 63 What is s = 63

54. The Distributive Property
We can also use the Distributive Property to do mental math.

55. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 ·15

56. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 15 Separate the harder number into parts. i.e. 15 = , so 9(10 + 5) Step 1 - ?

57. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 15 9(10 + 5) 90 Step 2 - ?

58. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 15 9(10 + 5) 90 + Step 3 - ?

59. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 15 9(10 + 5) In this case we would have another step to add the numbers.

60. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 15 9(10 + 5) In this case we would have another step to add the numbers.

61. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 3 · 47 Do this on your own.

62. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 3 · 47 3(40 + 7) On today’s homework you are to show work on the mental math.

63. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 3.4 Do this on your own.

64. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 3.4 9(3 + .4) Parenthesis are very important. Without them 30.6 you would only multiply the 9 times 3 and not 9 times .4.

65. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · 4 1 3

66. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 9 · ( )

67. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 5 · Do this on your own.

68. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 5 · ( )

69. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 12 · Do this on your own.

70. The Distributive Property
Find mentally using the Distributive Property. Show the steps you used. 12 · ( )

71. The Distributive Property
Fran is making a pair of earrings and a bracelet for four friends. Each pair of earrings uses 4.5 cm of wire and each bracelet uses 13 cm. Using the Distributive Property, write equivalent expressions and then find how much total wire is needed. Do this on your own.

72. The Distributive Property
Fran is making a pair of earrings and a bracelet for four friends. Each pair of earrings uses 4.5 cm of wire and each bracelet uses 13 cm. Using the Distributive Property, write equivalent expressions and then find how much total wire is needed. 4(4.5) + 4(13) and 4( ) (17.5) 70 cm 70 cm

73. The Distributive Property
Factor 36x + 30 A friend rewrote the expression 5(x + 2) as 5x + 2. Explain to your friend the error and rewrite the expression correctly.

74. The Distributive Property
Factor 36x + 30 A friend rewrote the expression 5(x + 2) as 5x + 2. Explain to your friend the error and rewrite the expression correctly. The friend did not multiply 5 and 2. 5(x + 2) = 5x + 10

75. The Distributive Property
Agenda Notes Homework – Homework Practice 6.6 Due Tuesday, Jan 12 ReQuiz – After school on Wed, Jan 13 Chapter 6 Test –Friday, Jan 15 Accum Rev 6 due Friday, Jan 15

76. Inquiry Lab
Turn to page 481.
Complete in your text book.

77. Inquiry Lab

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90. Inquiry Lab

91. Inquiry Lab With a partner complete pages 483 and 484.

92. Inquiry Lab With a partner complete pages 383 and 384.

93. Inquiry Lab With a partner complete pages 383 and 384.

94. Inquiry Lab With a partner complete pages 383 and 384.

95. Inquiry Lab With a partner complete pages 383 and 384.

96. Inquiry Lab With a partner complete pages 383 and 384.

97. Inquiry Lab With a partner complete pages 383 and 384.