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Multiply Area Models micro-lesson

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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.

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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

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