Do Now (www.nyc.com)

1) Evaluate to find out how many Rockefeller Christmas Tree lighting ceremonies have taken place.

2) Simplify to discover the length in miles (!) of electrical wire that was used to decorate the tree.

3) “It takes 15-20 people & a __ton, all terrain, hydraulic crane to handle the tree. “

Find:

4) Convert #2 to feet. 1.) 82 ceremonies 2.) 5 miles3.) 280 ton 4.) 26,400 ft

Do NowDetermine whether the 2 expressions are equivalent. If so, tell what property is applied. If not, explain why.1.) 7 × (6 × t) and (7 × 6) × t 2.) 23 + 15 and 15 + 23

3.) 18 – (7 – 3) and (18 – 7) - 3 4.) 8 × 1 and 8

5.) p × 1 = p 6.) 10 ÷ 5 and 5 ÷ 10 1.) = ; Associative 2.) = ; Commutative

3.) not equivalent 4.) = ; Identity5.) = Identity 6.) not equivalent

12/15/2014 5-2 C Distributive Property

Distributive Property

• Buzz Word: Hand Out

-to multiply a sum by a #, multiply each addend by the number outside the parentheses

DISTRIBUTIVE PROPERTY (Hand

Out)

Numbers

2(7 + 4) = 2×7 + 2 × 4

Ex. 1

= 40 + 2

= 42

Ex. 2Katie is baking 5 batches of cookies and 5 batches of cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. Write two equivalent expressions using the Distributive Property. Then find how many total cups of sugar are needed.

5(2) + 5(3) OR 5(2 + 3) 10 + 1525 c of sugar

Ex. 3Rewrite 5(x + 6) using the Distributive Property.

5(x + 6) = 5(x) + 5(6)

= 5x + 30

5x + 30

Ex. 4

For more difficult problems…break apart a number into 2 easy numbers to multiply

4 × 38

30 + 84 ( 30 + 8)120 + 32

152

Ex. 5

11 × 27

20 + 711 ( 20 + 7)220 + 77

297

Exit Ticket

Homework

Pg. 298 #1-16 EvensStudy Ch.5 Quiz II Wednesday. Ch. 4 Test Corrections due WednesdayTenMarks due FridayCh. 5 Quiz I Correction due Friday