1. Essential Question:
What is the distributive property and how do I use it to solve expressions?

2. Remember Order of Operations??????
3(5 + 6)
3(11) 33

3. Can you figure out the process?
Example 1
5(6 + 3)
5(6) + 5(3) 45
Example 2
3(5 – 2)
3(5) – 3 (2)
15 – 6 9

4. Distributive Property
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition".
Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses
In English: If you are multiplying an addition or subtraction problem in parentheses then you can distribute the multiplication to both numbers.

5. Why is the following true? 2(x + y) = 2x + 2y
2(3 + 4) = 2(3) + 2(4)
Since they distributed through the parentheses, this is true by the Distributive Property.
Instead of multiplying the answer to the addition problem; you can multiply both addends first then add.

7. BRAIN POP

8. What is the distributive property?
For all numbers a, b, and, c, a(b +c) is the same as ab + ac
Another way to solve a problem if you are multiplying the parentheses by a value

9. 4th: Solve. Use integer rules!
1st: Multiply the value outside the
parentheses by the first value
inside the parentheses
2nd: Keep the math
operation the same
3rd: Multiply the value outside the
Parentheses by the 2nd value
inside the parentheses
4th: Solve. Use integer rules!

10. Distributive Property
T/B pp

11. For Example:
5(6 + 5)
5(6) + 5(5) 55

12. For Example:
6(2 - 8)
6(2) - 6(8)
12 + (-48)
-36

13. You Try It: 5(3 + 7) 5 (2+2) 2 (7+2) 8 (100 – 4) 6 (-7 + -8)
-4 (7 + -6)
-3 [-9 – (-6)]

14. It works backwards 9(72) = 9(70) +9(2)
You can take an original # and turn it into two separate numbers that add up to the value of the original #

15. Cool Down:
Brain POP! Quiz
ELO:
Pizzazz p. 33