Multiply Area Models micro-lesson

Chris Lindsey

Maths

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If you want to multiply with 2- or 3-digit numbers, you should use area models. For example, 14 x 6. First thing you want to do is to draw 2 boxes, 1, 2. We're going to put our 6 over here and break up our 14 up here into 10 + 4. Now, all we have to do is multiply inside each box. 6 x 10 is 60 and 6 x 4 is 24. Our final step is to add up those partial products, so we have 60 + 24 for our final product of 84. If you're multiplying by 3 digits, you're going to need 3 boxes. We put our factor 6 over here and we break up 231 into 200 + 30 + 1. 6 x 200 is 1,200, 6 x 30 is 180, and 6 x 1 is 6. We add up each of our partial products and we get 1,386. Area models are a great way to solve multiplication problems with larger numbers using mental math.

Answer time

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How many boxes will your area model need to have to solve 13 x 3?

1) 2

2) 2

3) 4

4) 1
How many boxes will your area model need to solve 671 x 9?

1) 3

2) 2

3) 1

4) 4
An area model for 14 x 6 needs how many boxes?

1) 2

2) 3

3) 4

4) 5
How many boxes would your area model need to multiply 1,598 x 9?

1) 4

2) 3

3) 2

4) 5
How many partial products will your area model have for 4,012 x 6?

1) 4

2) 3

3) 2

4) 5
Use an area model to solve 13 x 3.

1) 39

2) 13

3) 30

4) 9
What is the value of the 9 in 963?

1) 900

2) 90

3) 9000

4) 9
What is the value of the 9 in 3,982?

1) 900

2) 90

3) 9

4) 9000
What is 68 x 6?

1) 408

2) 340

3) 272

4) 204
Use an area model to solve 708 x 5.

1) 3540

2) 358

3) 390

4) 4350
What is 231 x 6?

1) 1386

2) 1376

3) 1396

4) 1366
Use an area model to solve 768 x 2.

1) 1536

2) 1530

3) 1436

4) 1526
Use an area model to solve 963 x 3.

1) 2889

2) 2789

3) 2886

4) 2880
What is 5 x 672?

1) 3360

2) 3370

3) 3380

4) 3390
Use area models to multiply 1,598 x 9.

1) 14382

2) 13382

3) 14282

4) 14383
Use an area model to solve 3,982 x 9.

1) 35838

2) 35829

3) 39820

4) 39811
What is another way to show 231?

1) 200 + 30 + 1

2) 2 + 3 + 1

3) 23 + 1

4) 2 + 31
What is another way to show 23 x 5?

1) (20 + 3) x 5

2) 23 x 50

3) (20 x 3) + 5

4) 23 + 5
How would you break apart 768 for your area model?

1) 700 + 60 + 8

2) 70 + 60 + 80

3) 76 + 8

4) 700 + 68
How do you show the factor 708 broken apart?

1) 700 + 8

2) 70 + 8

3) 700 + 80

4) 7 + 0 + 8
What is the final step to solve 26 x 6, using this area model?

1) Add 120 + 36

2) Add 20 + 36

3) Subtract 120 - 36

4) Multiply 120 x 36
When checking your area models, you should be sure you______.

1) Did all of the above.

2) Multiplied correctly.

3) Added correctly.

4) Broke apart your factors correctly.
What is the final step in the area model strategy?

1) Add the partial products.

2) Multiply the partial products.

3) Subtract the partial products.

4) Divide the partial products.
What do each of the numbers inside the boxes represent?

1) Partial Products

2) Partial Quotients

3) Partial Sums

4) Partial Differences
You should always line up your place values when adding partial products.

1) TRUE

2) FALSE

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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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