1. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3) 2. (32 + e) + 14 3. 8 · (c · ) 4. (4 + r) + 5

2. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3)

3. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3) 12 · w · 3 36 · w or 36w

4. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 2. (32 + e) + 14

5. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 2. (32 + e) + 14 32 + e + 14 46 + e

6. 5 Minute Check

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

9. 5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) + 5 4 + r + 5 9 + r

10. Tuesday, Dec 3 Lesson 6.6 The Distributive Property

11. Objective: To use Distributive Property to compute multiplication problems mentally and to rewrite algebraic expressions.

12. The Distributive Property At the end of this lesson you should be able to answer the following question. How can the Distributive Property help you simplify expressions?

13. The Distributive Property Distributive Property – To multiply a sum by a number, multiply each addend by the number outside the parenthesis. e.g. 4 · (3 + 1) = 4 · 3 + 4 · 1= 12 + 4 = 16 e.g. 4 · (a + 1) = 4 · a + 4 · 1 or 4a + 4

14. The Distributive Property Find 9 (4 )

15. The Distributive Property Find 9 (4 ) Remember that 4 = 4 +

16. The Distributive Property Find 9 (4 ) 9 (4 + )

17. The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 Step 1 – Multiply the term outside the parenthesis by the first term inside the parenthesis.

18. The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + Step 2 – Bring the operation inside the parenthesis across to the new expression.

19. The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + Step 3 – Multiply the term outside the parenthesis by the second term inside the parenthesis.

20. The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + 36 + 3 = 39 Step 4 – Simplify any fractions and perform the operation.

21. The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + 36 + 3 = 39 This is the work to be shown on tonight’s homework.

22. The Distributive Property Find 5 (2 ) Ste p 1 - ?

23. The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 Ste p 2 - ?

24. The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + Ste p 3 - ?

25. The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + Ste p 4 - ?

26. The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + 10 + 3 = 13 This is the work to be shown on tonight’s homework.

27. The Distributive Property

29. Use the Distributive Property to rewrite 2 (x + 3) Use the same steps as before. Step 1 - ?

30. The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x Step 2 - ?

31. The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + Step 3- ?

32. The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + 6 Step 4- ?

33. The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + 6

34. The Distributive Property Use the Distributive Property to rewrite 8 (x + 4). Do this on your own.

35. The Distributive Property Use the Distributive Property to rewrite 8 (x + 4). 8 (x + 4) = 8 x + 32

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

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

38. The Distributive Property You can use the Distributive Property to factor out a numeric or algebraic expression.

39. The Distributive Property Factor 12 + 8 How to factor out an expression. Step 1 – Determine the GCF of each term. The GCF of 12 and 8 is 4.

40. The Distributive Property Factor 12 + 8 How to factor out an expression. Step 2 – Write each term as a product of the GCF and it’s remaining factor. 12 + 8 = 4 · 3 + 4· 2

41. The Distributive Property Factor 12 + 8 How to factor out an expression. Step 3 – Factor out the GCF. 12 + 8 = 4 · 3 + 4· 2 = 4 (3 + 2)

42. The Distributive Property Factor 21 + 9 Do this on your own.

43. The Distributive Property Factor 21 + 9 21 + 9 = 3 · 7 + 3 · 3 = 3 (7 + 3)

44. The Distributive Property Factor 80 + 56 Do this on your own.

45. The Distributive Property Factor 80 + 56 80 + 56 = 8 · 10 + 8 · 7 = 8 (10 + 7)

46. The Distributive Property Factor 4x + 16 Do this on your own.

47. The Distributive Property Factor 4x + 16 4x + 16 = 4 · x + 4 · 4 = 4 (x + 4)

48. The Distributive Property Factor 42 + 7x Do this on your own.

49. The Distributive Property Factor 42 + 7x 42 + 7x = 7 · 6 + 7 · x = 7 (6 + x)

50. The Distributive Property Factor 36x + 30 Do this on your own.

51. The Distributive Property Factor 36x + 30 36x + 30 = 6 · 6x + 6 · 5 = 6 (6x + 5)

52. The Distributive Property How can the Distributive Property help you simplify expressions?

53. The Distributive Property Agenda Notes Homework – Homework Practice 6-6 Due Wednesday, Dec 4 Chapter 6 Test –Friday, Dec 6 Help Session Thursday, Dec 5 2:15-3PM