Use Area Models to Multiply 2 x 2 Digits micro-lesson

Chris Lindsey

Maths

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Area models are a great way to solve multiplication problems. With larger numbers, you're going to need to use four boxes in your area model and break up each of the two factors. 13 is the same as 10 + 3 and 19 is the same as 10 + 9. Now, you multiply to find four partial products. 10 x 10 is 100, 10 x 9 is 90, 10 x 3 is 30, and 3 x 9 is 27. Our final step in the area model is you add up all of your personal products. So, we'll add 100, 90 30, and 27 for a total of 247. You're going to take your 32 and break it up into 30 + 2 and you're going to take 45 and break that up into 40 + 5. Now, you multiply to get a partial product for each box. The final step is to add up all of your partial products and you come out with 1,440. Area models are a great way to multiply two digits by two digits.

Answer time

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How many boxes will your area model need to have to solve 13 x 19?

1) 4

2) 3

3) 2

4) 1
How many partial products will you have for 32 x 45?

1) 4

2) 3

3) 2

4) 1
How many boxes will your area model need to solve 13 x 13?

1) 4

2) 3

3) 2

4) 1
How many boxes will your area model need to solve 67 x 91?

1) 4

2) 3

3) 2

4) 1
How many boxes would your area model need to multiply 18 x 29?

1) 4

2) 3

3) 2

4) 1
How many partial products will your area model have for 42 x 61?

1) 4

2) 6

3) 2

4) 1
What is the value of the 9 in 93?

1) 90

2) 9

3) 0.9

4) 900
What is the value of the 2 in 92?

1) 2

2) 9

3) 0.5

4) 90
What is the final product for 13 x 19?

1) 247

2) 100

3) 90

4) 27
Use an area model to solve 13 x 13.

1) 169

2) 170

3) 144

4) 150
Use area models to multiply 18 x 29.

1) 522

2) 504

3) 493

4) 540
Use an area model to solve 76 x 42.

1) 3192

2) 666

3) 450

4) 2192
Use an area model to multiply 15 x 72.

1) 1080

2) 1065

3) 1008

4) 1572
Use an area model to solve 93 x 36.

1) 3348

2) 3312

3) 3438

4) 3256
Use an area model to solve 78 x 51.

1) 3978

2) 3983

3) 3900

4) 3798
What is the final product of the problem 43 x 42?

1) 1806

2) 4342

3) 1608

4) 1860
Use an area model to solve 92 x 69.

1) 6348

2) 6438

3) 5218

4) 6992
How can you break up the factors 13 and 19?

1) (10 + 3) x (10 + 9)

2) (10 x 3) + (10 x 9)

3) (10 + 13) x (10 + 19)

4) (10 x 19)+ (10 x 3)
What is another way to show 23 x 35?

1) (20 + 3) x (30 + 5)

2) (20 x 3) + (30 x 5)

3) (20 + 3) x (30 + 5)

4) (20 + 3) + (30 + 5)
How would you break apart 76 and 42 for your area model?

1) (70 + 6) x (40 + 2)

2) (70 x 6) + (40 x 2)

3) (70 + 6) x (40 + 2)

4) (70 + 6) + (40 + 2)
What are the four partial products you should add together to find the total product for 68 x 16?

1) 600 + 360 + 80 + 48

2) 6,000 + 80 + 360 + 48

3) 60 + 80 + 360 + 48

4) 600 + 80 + 36 + 48
How do you show the factor 78 broken apart?

1) 70 + 8

2) 70 x 8

3) 78 + 10

4) 70 + 80
What is the final step to solve 26 x 61, using this area model?

1) Add 1,200 + 360 + 20 + 1

2) Add 120 + 20 + 360 + 1

3) Add 12 + 2 + 36 + 6

4) Add 1,200 + 360 + 20
Which property is used to break up the factors by place value?

1) Distributive property

2) Commutative Property

3) Associative Property

4) The Multiplication Property of Zero
What is the final step to solve this problem?

1) Add 1,600 + 120 + 80 + 6

2) Multiply 1,600 x 120 x 80 x 6

3) Add 1,600 + 120

4) Add 1,600 + 80 + 120

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Chris Lindsey

Elementary Teacher in South Carolina, USA. I have been teaching 4th and 5th grades for the past 11 years. My passion is teaching Math, but my love is reading aloud to children.

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