1. Distributive Property

2. Three friends went to a baseball game
Three friends went to a baseball game. Each ticket cost $20 and all three friends bought a baseball hat for $15 each. How can you find the total spent using two different ways?
(3x 20) + (3 x 15)
3(20+15)
Solve the 2 expressions. What do you notice about the answers?

3. Distributive Property
To multiply a sum by a number, multiply each addend by the number outside the parenthesis
3(20+15) = 3x x 15
a(b+c) = a x b + a x c

4. Videos

5. Generate an expression equivalent to 2(5 + 7) using the distributive property.
2 · ·

6. Generate an expression equivalent to 9(x + 4) using the distributive property.
9 · x + 9 · 4 9x + 36

7. Generate an expression equivalent to 7(x+5) using the distributive property.

8. Generate an expression equivalent to 3(5r- 4) using the distributive property.

9. Generate an expression equivalent to 10(4r- 9) using the distributive property.

10. How could the distributive property help you solve 9 x 4 ?
9 · ·
36 + 3 39

11. How could the distributive property help you solve 5 x 2 ?
5 · ·
10 + 3 13

12. How could the distributive property help you solve 9 x 44 ?
9 · · 4
396

13. How could the distributive property help you solve 4 x 76 ?
4 · · 6
304

14. Using the distributive property with perimeter

15. Using the distributive property with perimeter
Reminder – to find the perimeter of a shape you add up all the sides = 28 10 4 4 10

16. Using the distributive property with perimeter
= 28 is also:
2(4+10) = 28 10 4 4 10

17. Use the distributive property with the following side lengths
2(10-b) + 2(c+7)
20 – 2b + 2c + 14
-2b + 2c + 34
10 - b
c + 7
c + 7
10 - b

18. Find the perimeter
Reminder – to find the perimeter of a shape you add up all the sides = 25 11 4 10

19. Find the perimeter
Reminder – to find the perimeter of a shape you add up all the sides
b b + 2b + 9
= 4b + 29
11 + b
b + 9
2b + 9