Opening ActivityEach table will need the following: - Scissors - Colored paper (1 per person) - Glue Stick

Have homework out and ready to be checked.

Homework CheckPage 13765.366.3767.268.8169.25

Activity 2.10 Mathematical Properties of Operations

Students will be able to identify and apply the Mathematical Properties of

Operations.

Commutative PropertyCommutative Property – The property that

states that changing the order of addends does not change the sum and that changing the order of factors does not change the product.

Examples: Think-Pair-ShareDoes….?3+2 = 2+35 x 10 = 10 x 54 – 2 = 2 – 4 20 ÷ 4 = 4 ÷ 20

Trick To RememberCommutative

Commute - to travel back and forth

. http://www.youtube.com/watch?v=TkCz2KvvWrI

How do you get from place to place?

How are commuting and the Commutative Property related?

On your colored paperCommutative Property – The property that

states that changing the order of addends does not change the sum and that changing the order of factors does not change the product.

Order doesn’t matter for addition or multiplication.

Examples:

Associative PropertyAssociative Property – The property that states

that changing the way addends are grouped does not change the sum and that changing the way factors are grouped does not change the product.

Examples:Does…?1. (3 + 2) + 1 = 3 + (2 + 1)

2. (5 x 2) x 3 = 5 x (2 x 3)

3. (6 – 2) – 3 = 6 – (2 – 3)

4. (12 ÷ 2) ÷ 6 = 12 ÷ (2 ÷ 6)

Trick To RememberAssociative

Associate – to hang out with your friends.

http://www.youtube.com/watch?v=tvCycN6Hm_E

Do you hang out with the same group of friends all the time, or

does your group of friends change?

How is associating with friends and the Associative Property the same?

On your colored paperAssociative Property – The property that states

that changing the way addends are grouped does not change the sum and that changing the way factors are grouped does not change the product.

Grouping doesn’t matter for addition or multiplication.

Examples:

Brain Break

Brain BreakIn your head, do the following…

Start with 1,000 Add 40 Add 1,000 Add 30 Add 1,000 Add 20 Add 1,000 Add 10

What did you get for your answer?

Opening ActivityGather the materials needed for today.

Colored paper (1 sheet per student)Glue stick (1 per table)Scissors (1 pair per table)

Fold, cut and glue your paper just like we did last week. Remember to make sure you have two flaps that you can lift.

On one flap

Identity Property

Identity PropertyIdentity Property of Addition – You can add 0 to any number and the number remains the same.

Identity Property of Multiplication – You can multiply any number by 1 and the number remains the same.

Trick To RememberIdentity

Identical – to look exactly the same.

https://www.youtube.com/watch?v=IAOKP6VOHZE

ExamplesIdentity Property of Addition

4 + 0 = 4 1,234 + 0 = 1,234 32 + 0 = 32

Identity Property of Multiplication

4 x 1 = 4 1,234 x 1 = 1,234 32 x 1 = 32

Distributive PropertyDefinition – The property that states

that the result of multiplying a number by the sum of two numbers is the same as the result of multiplying each addend by the number.

Examples:

4 x (3 + 5)Try One: 2 x (3 + 5)

Trick To RememberDistributive

Distribute – to deliver or hand out

http://www.youtube.com/watch?v=A22bDx2qxu8

Does the Delivery man skip houses if he has a package to deliver at

that house?

Homework - Identify the PropertyDirections: Copy each problem. Write what property is being shown under each problem. Prove your answer by solving each problem.

1. 5 x (2 + 3) = (5 x 2) = (5 x 3)2. 3 + 0 = 33. 4 x 5 x 2 = 2 x 4 x 54. (4 + 2 )+ 3 = 4 +(2 + 3)5. 1 x 55 = 55