1. Use Mental Math to Multiply

3. Find the area of the rectangle. Area = length x width 6 ft 10 ft+ 4 ft 6 ft Separate into two rectangles 6 ft 14 ft

4. Find the area of the rectangle. Area = length x width 6 ft 10 ft+ 4 ft 6 ft Find the area of each rectangle. 60 sq. ft. 24 sq. ft.

5. Find the area of the rectangle. Area = length x width 6 ft 10 ft+ 4 ft Put the two rectangles back together. 60 sq ft 24 sq ft 6 ft 60 sq ft + 24 sq ft 14 ft Add the two areas

6. What property are we using in the second step? 1)Break apart the two digit number. 2) Multiply each part by the number outside of the parentheses. 3) Find the sum of the two products. The Distributive Property

7. The Distributive Property of Multiplication over Addition... symbolically: a × (b + c) = (a × b) + (a × c) and pictorially (rectangular array area model): a × b a × c a bc

8. Does the Distributive Property work for Subtraction? a × (b - c) = (a × b) - (a × c)

9. Use the distributive property to evaluate.

11. Practice Time

12. 1) Which of the following expressions shows the distributive property for 5 (3 + 7)? C. (5 3) + (5 7) B. (5 3) (5 7) A. (5 + 3) (5 + 7)

13. 2) Which of the following expressions shows the distributive property for 3 (9 - 4) ? A. (3 9) + (3 4) C. (3 + 9) (3 - 4) B. (3 9) - (3 4)

14. 3) Which of the following expressions is equivalent to: (4 3) + (4 8) ? C. 4 (3 + 8) B. 8 (3 + 4) A. 3 (4 + 8)

15. 4) Which of the following expressions is equivalent to: (5 9) - (5 3) ? A. 5 - (9 3) B. 5 (9 - 3) C. 5 (9 + 3)

16. 5) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds

17. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 yds x yds 10 yds

18. 7) Which expression is equivalent to 3(x + 7)? C. 3x + 7 B. x + 21 A. x + 10 D. 3x + 21

19. 8) Which expression is equivalent to 2(x - 3)? C. 2x + 3 A. 2x - 3 B. 2x - 6 D. 2x + 6

20. 9) Which of the following expressions is equivalent to: (X+7)4 D. A. X + 28 C. 32X B. 4X + 28 4X + 7

21. 10) Which expression is equivalent to 8(3x - 2)? C. 24x + 16 B. 11x - 6 A. 22x D. 24x - 16

22. 11) Which expression is equivalent to 4(2x + 5)? C. 8x + 20 B. 6x + 20 A. 8x + 9 D. 28x

23. 12) Which expression is equivalent to (X - 3)(-4)? C. 4x - 12 A. 4x - 3 B. -4x + 12 D. -4x + 3

24. 13) Which expression is equivalent to -3(2X - 6)? C. -6X + 18 B. 6X + 18 A. 6X - 18 D. -6X - 18