3.3 Area Model

​3.1 AREA MODEL

Area= the number of square units that cover a surface

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Each rectangle has a length and width. You can find the total area of each by multiplying. A = L x W

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Then, add up the area of each rectangle to find the total area.​

WHY do I need to know how to use the area model?

• It helps build fluency with multiplication skills

• It builds number sense

• You will use it for algebra

• It makes multiplying larger numbers easier

• It helps you understand models for multiplying decimals by decimals

4 Equations:

​37 x 79 = 2923

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79 x 37 = 2923

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2923 / 79 = 37

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2923 / 37 = 23

​

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Multiple Choice

Yellow area =

• 4 x 3

• 10 x 10

• 10 x 4

• 10 x 3

Multiple Choice

Yellow area =

• 40

• 100

• 12

• 30

Multiple Choice

Green area =

• 10 x 10

• 4 x 10

• 3 x 10

• 4 x 3

Multiple Choice

Green area =

• 12

• 100

• 40

• 30

Multiple Choice

Blue area =

• 10 x 10

• 4 x 10

• 3 x 10

• 4 x 3

Multiple Choice

Blue area =

• 100

• 40

• 30

• 12

Multiple Choice

Tan =

• 10 x 10

• 4 x 10

• 3 x 10

• 4 x 3

Multiple Choice

Tan =

• 100

• 40

• 30

• 12

Multiple Choice

Which partial product goes in the yellow box?

• 8

• 200

• 1000

• 40

Multiple Choice

Which partial product goes in the blue box?

• 8

• 200

• 1000

• 40

Multiple Choice

Which partial product goes in the green box?

• 8

• 200

• 1000

• 40

Multiple Choice

Which partial product goes in the orange box?

• 8

• 200

• 1000

• 40

Fill in the Blanks

Yellow area =

Fill in the Blanks

blue area =

Fill in the Blanks

orange area =

Fill in the Blanks

green area =

Multiple Choice

How do I get the partial product for box B?

• 4 + 40

• 4 x 40

Multiple Choice

How do I get the partial product for box C?

• 90 x 40

• 4 x 40

• 90 x 9

• 4 x 9

Multiple Choice

How do I get the partial product for box D?

• 90 x 40

• 4 x 40

• 90 x 9

• 4 x 9

49 x 74 = 3626

Find the product for each box:

A) 40 x 70 = 2800

B) 9 x 70 = 630

C) 40 x 4 = 160

D) 9 x 4 = 36

Final step: add box A+B+C+D

2800+630+160+36=3626

Fill in the Blanks

Purple area = ?

Fill in the Blanks

yellow area = ?

Fill in the Blanks

green area = ?

Fill in the Blanks

pink area = ?

Fill in the Blanks

orange area = ?

Find the partial product for each box: multiply

A) 90 x 40 = 3600

B) 6 x 40 = 240

C) 90 x 7 = 630

D) 6 x 7 = 42

Final Step: Add box A+B+C+D

3600+240+630+42=

Fill in the Blanks

Box A = ?

Fill in the Blanks

Box B = ?

Fill in the Blanks

Box C = ?

Fill in the Blanks

Box D = ?

AREA MODEL

blue box: 50 x 40 = 2000

yellow box: 2 x 40 = 80

pink box: 50 x 6 = 300

green box: 2 x 6 = 12

Now add:

2000+80+300+12= 2392

Fill in the Blanks

Yellow area =

Fill in the Blanks

Pink area =

Fill in the Blanks

blue area =

Fill in the Blanks

green area =