Commutative Property of Addition

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Use Properties to Add

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Use Properties to Add

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and may not be further reproduced or distributed.

Learning Targets

• I can add addends in any order to find the sum.

• I can explain that addends added in any order have

the same sum.

•

2.NBT.B.5- Fluently add and subtract within 100 using properties of operations, strategies
based on place value, and/or the relationship between addition and subtraction.

•

2.NBT.C.7-Add and subtract within 1,000 using concrete models, drawings, strategies
based on place value, properties of operations, and/or the relationship between addition
and subtraction to explain the reasoning used.

Multiple Choice

Which equations show the commutative property?

• 3 + 4 = 12

  4 + 5 = 12

• 5 + 8 = 13

  8 + 5 = 13

• 7 + 6 = 13

  6 + 6 = 13

• 5 + 6 = 11

  6 + 5 = 12

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Use Properties to Add

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Be Curious

Is it always true?

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Commutative Property

Addends can be

added in any order

and the sum

stays the same.

FLIP-FLOP
strategy

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1. Pose the Problem

Leah and Rosh have 15 large paper clips and
21 small paper clips.

How many paper clips do they have?

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addend

sum

represent

Vocabulary

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2. Develop the Math

Leah and Rosh have
15 large paper clips
and 21 small paper
clips.

Leah and Rosh show
the problem in
different ways.

Think About It

Which way is correct? Explain your thinking.

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2. Develop the Math

Leah and Rosh have 15
large paper clips and 21
small paper clips.

What do you notice about
the addends?

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2. Develop the Math

Leah and Rosh
have 15 large
paper clips and 21
small paper clips.

What is each sum?

Explaining

Why is the sum the same for both equations?

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2. Develop the Math

Leah and Rosh have 15
large paper clips and 21
small paper clips.

You can add addends in
any order to find the sum.

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and may not be further reproduced or distributed.

2. Develop the Math

You can also use a
number chart to
prove that addends
can be added in
any order.

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3. Bring It Together

Addends can be added in any order and the sum is
the same.

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3. Bring It Together

Work Together

Nick has 40 bottles. He buys 23 more bottles.

What two equations can you write to find how many
bottles Nick has now?

Workspace

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Key
Point

Addends can be added in any order and
the
sum stays the same.