Number PropertiesMath 1 Lesson 1

What is a Property?

› In math, properties are statements that are true for any number.

› They are basic building blocks that you will use to solve problems from this point forward in math.

› There are 3 properties we will learn in Math 1 (plus a special bonus property!):

Commutative, Associative, Identity

COMMUTATIVE PROPERTY

Property Example

Commutative Property of Multiplication/Addition

4 x 3 = 3 x 4

OR

4 + 3 = 3 + 4Definition:

The order doesn’t matter when you add or multiply.

To do: p. 6

ASSOCIATIVE PROPERTY

Property Example

Associative Property of Multiplication/Addition

2 + (3 +4) = (2+3) +4

OR

2 x (3 x4) = (2 x3) x 4

Definition:

You can regroup addition or multiplication for your convenience.

To do: p. 9

IDENTITYPROPERTYIdentity Property of Addition Definition:

When you add zero to a number the answer is the number.

Identity Property of Multiplication Definition:

When you multiply a number by 1 the number stays the same.

Do p. 5

Property Example

Identity Property of Addition

7 + 0 = 7

Identity Property of Multiplication

16 x 1= 16

SPECIAL BONUS:INVERSE PROPERTIES!

ARE YOU AWAKE NOW?

Remember – properties are building blocks that you will use from this point forward.

If you get them down now when they are easy and go step by step, then you will have no trouble with this when the time comes!!!

Inverse Properties (opposites)

› Inverse Property of Multiplication

› You can “undo” or cancel any number by multiplying it’s opposite.

› Example

› Inverse Property of Addition

› You can “undo” or cancel any number by adding it’s opposite.

Example: 5 + (-5) = 0 5 11

1 5x

Associative and Commutative Property Challenge !!How many combinations equaling 24 can you make?

› Work with a partner, count out 24 tiles. Try to count out even color groups – for example 6 red, 6 blue, 6 green, and 6 yellow. Use grid paper.

› Using grid paper, organize your tiles in as many different ways as possible. Write a math sentence for each picture you make. You can use some that have only addition or only multiplication and some with both.

› Come up with as many combinations as you can that use all of your tiles.