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)
(32 + e) + 14
· (c · )
(4 + r) + 5

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

4. 5 Minute Check
Complete in your notes. Simplify each expression · (w · 3) 12 · w · 3 36w

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

6. 5 Minute Check
Complete in your notes. Simplify each expression. 2. (32 + e) e e

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

8. 5 Minute Check Complete in your notes. Simplify each expression.

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

10. 5 Minute Check
Complete in your notes. Simplify each expression. 4. (4 + r) r r

11. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
Order the subjects from least to greatest percent of students who chose that as their favorite.

12. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
History 12%
𝟑 𝟐𝟓 = ? 𝟏𝟎𝟎
Order the subjects from least to greatest percent of students who chose that as their favorite.

13. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
Science 20%
𝟏 𝟓 = ? 𝟏𝟎𝟎
Order the subjects from least to greatest percent of students who chose that as their favorite.

14. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
Reading 28%
Order the subjects from least to greatest percent of students who chose that as their favorite.

15. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
Math 40%
Order the subjects from least to greatest percent of students who chose that as their favorite.

16. OST Test Prep
A survey asked a group of students to name their favorite school subject. The results are shown in the table.
History 12%
Science 20%
Reading 28%
Math 40%
Order the subjects from least to greatest percent of students who chose that as their favorite.

17. Please put your name on the note hand out from 6
Please put your name on the note hand out from 6.4 (Monday) and hand forward.

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. 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

27. 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

28. 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

29. 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

30. 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

31. 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

32. 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

33. 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

34. Lesson 6.6.a The Distributive Property
Thursday, Jan 12
Lesson 6.6.a The Distributive Property

35. The Distributive Property
Objective: To use the Distributive Property to simplify numeric expressions.

36. 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.

37. The Distributive Property
Today we are going to be using the Distributive Property to simplify numeric expressions. Tomorrow we will be using the Distributive Property to simplify algebraic expressions.

38. The Distributive Property

39. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3)
Using the Distributive Property to Simplify Expressions
Step 1 – Multiply the factor outside the parenthesis by the first term inside the parenthesis.

40. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3) 70
Using the Distributive Property to Simplify Expressions
Step 1 – Multiply the factor outside the parenthesis by the first term inside the parenthesis.

41. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3) 70
Using the Distributive Property to Simplify Expressions
Step 2 – Bring the operation inside the parenthesis to the new expression.

42. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3)
70 +
Using the Distributive Property to Simplify Expressions
Step 2 – Bring the operation inside the parenthesis to the new expression.

43. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3)
70 +
Using the Distributive Property to Simplify Expressions
Step 3 – Multiply the factor outside the parenthesis by the second term inside the parenthesis.

44. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3)
Using the Distributive Property to Simplify Expressions
Step 3 – Multiply the factor outside the parenthesis by the second term inside the parenthesis.

45. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3)
Using the Distributive Property to Simplify Expressions
Step 4 – Simplify by performing operations, if possible.

46. The Distributive Property
Use the Distributive Property to simplify the expression.
7(10 +3) 91
Using the Distributive Property to Simplify Expressions
Step 4 – Simplify by performing operations, if possible.

47. The Distributive Property
What is the advantage of using the Distributive Property to rewrite and simplify a numeric expression?

48. The Distributive Property
What is the advantage of using the Distributive Property to rewrite and simplify a numeric expression? We can use DP to multiply large numbers easily.

49. The Distributive Property
What is 9 x 94?

50. The Distributive Property
What if we broke 94 apart and wrote it as ? Then we could write 9 x 94 as 9(90 + 4)

51. The Distributive Property
Use the Distributive Property to simplify the expression. 9(90 + 4) Step 1 - ?

52. The Distributive Property
Use the Distributive Property to simplify the expression. 9(90 + 4) 810 Step 2 - ?

53. The Distributive Property
Use the Distributive Property to simplify the expression. 9(90 + 4) Step 3 - ?

54. The Distributive Property
Use the Distributive Property to simplify the expression. 9(90 + 4) Step 4 - ?

55. The Distributive Property
Use the Distributive Property to simplify the expression. 9(90 + 4) So 9(94) = 846

56. The Distributive Property
Use the Distributive Property to simplify the expression. 4(40 - 2) Do this on your own.

57. The Distributive Property
Use the Distributive Property to simplify the expression. 4(40 - 2) 160 – 8 Step 1, 2, and Step 4 So 4(38) = 152
Must show all work on todays assignment.

58. The Distributive Property
Use the Distributive Property to simplify the expression. 5( ) Do this on your own.

59. The Distributive Property
Use the Distributive Property to simplify the expression. 5( ) So 5(4 1 5 ) = 21

60. The Distributive Property
Use the Distributive Property to simplify the expression. 8( ) Do this on your own.

61. The Distributive Property
Use the Distributive Property to simplify the expression. 8( ) So 3(8.1) = 24.8

62. The Distributive Property
The area method is a form of the Distributive Property. 5(17) 10 7 5

63. The Distributive Property
The area method is a form of the Distributive Property. 5(17) 10 7
Area? 5

64. The Distributive Property
The area method is a form of the Distributive Property. 5(17) 10 7 50 5

65. The Distributive Property
The area method is a form of the Distributive Property. 5(17) 10 7 50 5
Area?

66. The Distributive Property
The area method is a form of the Distributive Property. 5(17) 10 7 50 35 5

67. The Distributive Property
The area method is a form of the Distributive Property. 5(17) The area of the entire rectangle is , or 85. This means 5(17) is 85. 10 7 50 35 5

68. The Distributive Property
Complete on the back of your homework. Simplify – ( 4 + 2²) + 3³ 10 – ( 4 + 4) + 3³ 10 – 8 + 3³

69. The Distributive Property
Find by using the Distributive Property. 8(54)
Can we break this number into two parts that can be easily multiplied?

70. The Distributive Property
Find by using the Distributive Property. 8(54) 8(50 + 4) Now finish as before.

71. The Distributive Property
Find by using the Distributive Property. 8(54) 8(50 + 4)

72. The Distributive Property
Using the area method. 8(54) 8(54) = 432 50 4
400 32 8

73. The Distributive Property
Find by using the Distributive Property. 5(32) Do this on your own.

74. The Distributive Property
Find by using the Distributive Property. 5(32) 5(30 + 2)
Must show all work on todays assignment.

75. The Distributive Property
Using the area method. 5(32) 5(32) = 160 30 2
150 10 5

76. The Distributive Property
When using the Distributive Property to multiply a two digit number, either addition or subtraction can be used.
5(32) 5(30 + 2)
5(38) 5(40 - 2)

77. The Distributive Property
Find by using the Distributive Property. 7(59) Do this on your own.

78. The Distributive Property
Find by using the Distributive Property. 7(59) 7(60 - 1)
Must show all work on todays assignment.

79. The Distributive Property
Find by using the Distributive Property. 3(4.3) Do this on your own.

80. The Distributive Property
Find by using the Distributive Property. 3(4.3) 3( )
Must show all work on todays assignment.

81. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24)

82. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 20 4 50 3

83. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 20 4 50
1000 3

84. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 20 4 50
1000
200 3

85. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 20 4 50
1000
200 3 60

86. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 20 4 50
1000
200 3 60 12

87. The Distributive Property
We can also use the area method to multiply two digit numbers. 53(24) 53(24) = =1472 20 4 50
1000
200 3 60 12

88. The Distributive Property
Agenda Notes Skills Practice 6.6.a Due Friday Jan 13 Chapter 6 Test Friday, Jan 20