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Properties of Addition To identify addition properties
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Properties of Addition To identify addition properties.

Dec 14, 2015

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Joel Shoulders
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Page 1: Properties of Addition To identify addition properties.

Properties of Addition

Properties of Addition

To identify addition propertiesTo identify addition properties

Page 2: Properties of Addition To identify addition properties.

MENTAL MATH• Tell me which is greater.

• 1. 2 + 1 or 2 + 2 ______________

• 2. 5 + 3 or 5 – 2 ______________

• 3. 6 – 1 or 6 – 2 ______________

• 4. 4 – 2 or 4 – 1 ______________

• 5. 10 – 1 or 8 + 1 ______________

Page 3: Properties of Addition To identify addition properties.

Three Properties of AdditionThree Properties of Addition

Addition properties are like

special tools.

They make it easier to work with

numbers.

Page 4: Properties of Addition To identify addition properties.

The Commutative PropertyThe Commutative Property

• Background– The word commutative comes from the

verb “to commute.”– Definition on dictionary.com

• Commuting means changing, replacing, or exchanging

– People who travel back and forth to work are called commuters.• Traffic Reports given during rush hours are

also called commuter reports.

Page 5: Properties of Addition To identify addition properties.

Here are two families of commuters.Here are two families of commuters.

Commuter A

Commuter B

Commuter A

Commuter B

Commuter A & Commuter B changed lanes.

Remember… commute means to change.

Page 6: Properties of Addition To identify addition properties.

Here is another example…

Page 7: Properties of Addition To identify addition properties.

Commutative Property

You can add in any order.

5 + 2 = 7 * 2 + 5 = 7

3 + 6 + 7 = 16 * 7 + 3 + 6 = 16

Page 8: Properties of Addition To identify addition properties.

The Associative PropertyThe Associative Property

• Background– The word associative comes from the

verb “to associate.”– Definition on dictionary.com

• Associate means connected, joined, or related

– People who work together are called associates.• They are joined together by business, and

they do talk to one another.

Page 9: Properties of Addition To identify addition properties.

Let’s look at another hypothetical situation

Let’s look at another hypothetical situation

Three people work together.

Associate B needs to call Associates A and C to share some news.

Does it matter who he calls first?

Page 10: Properties of Addition To identify addition properties.

A C

B

Here are three associates. Here are three associates.

B calls A first He calls C last

If he called C first, then called A, would

it have made a difference?

NO!

Page 11: Properties of Addition To identify addition properties.

(The Role of Parentheses)(The Role of Parentheses)

• In math, we use parentheses to show groups.

• In the order of operations, the numbers and operations in parentheses are done first.

So….So….

Page 12: Properties of Addition To identify addition properties.

Associative Property

You can change the grouping.

REMEMBER: Add the numbers in parentheses first.

* (6 + 3) + 5 = 14 * 6 + (3 + 5) = 14

* (8 + 2) + 4 = 14 * 8 + (2 + 4) = 14

Page 13: Properties of Addition To identify addition properties.

The Identity Property of AdditionThe Identity Property of AdditionI am me!

You cannot changeMy identity!

I am me!You cannot change

My identity!

Page 14: Properties of Addition To identify addition properties.

Zero is the only number you can add to something

and doesn’t change.

Page 15: Properties of Addition To identify addition properties.

Identity Property of AdditionIdentity Property of Addition

A + 0 = A

+ 0 =

Page 16: Properties of Addition To identify addition properties.

Let’s practice !Let’s practice !

Look at the problem.

Identify which property it represents.

Page 17: Properties of Addition To identify addition properties.

(9 + 8) + 7 = 9 + (8 + 7)

It is the only addition property that has parentheses.

Page 18: Properties of Addition To identify addition properties.

12 + 0 = 12

It is the only addition property that has two addends and one of them is a zero.

Page 19: Properties of Addition To identify addition properties.

9 + 7 = 7 + 9

It is the only addition property that has numbers that change places.

Page 20: Properties of Addition To identify addition properties.

4 + 6 = 6 + 4

Numbers change places.

Page 21: Properties of Addition To identify addition properties.

3 + 0 = 3

See the zero?

Page 22: Properties of Addition To identify addition properties.

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

It has parentheses!

Page 23: Properties of Addition To identify addition properties.

a + 0 = a

Zero!

Page 24: Properties of Addition To identify addition properties.

a + b = b + a

Moving numbers!

Page 25: Properties of Addition To identify addition properties.

A

(a + b) + c = a + (b + c)

Parentheses!

C

B