Distributive Property of Multiplication

5 groups of four is equal to

• 3 groups of 3 plus 1 group of 3

• 3 groups of 4 plus 2 groups of 4

• 4 groups of 4 plus 2 groups of 4

• 4 groups of 5 plus 1 group of 5

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The model makes difficult multiplication easier to solve. The original equation was:

• 8 x 8 = ?

• 5 x 8 = 40

• 7 x 8 = ?

• 7 x 16 = ?

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CCSS.3.OA.B.5

CCSS.3.OA.C.7

Braxton made this model for the problem 9 x 4. Finish his work, what would he do next and what would the product be?

• 9 x 4 = 36,

  36 + 18 = 54

  so, 9 x 4 = 54

• 9 x 2 = 18,

  18 + 18 = 36

  so, 9 x 4 = 36

• Braxton is finished, 9 x 4 = 18

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CCSS.3.OA.A.1

CCSS.3.OA.A.3

CCSS.3.OA.C.7

Jaxon built the array to explain his thinking for 7 x 5. Which explanation matches his thinking?

• 7 x 3 = 21

  and 7 x 2 = 14

  14 + 21 = 35

• I am not good at knowing how to solve this kind of problem

• since 5 x 5 = 20

  and 3 x 5 = 15

  20 + 15 = 35

• I know 4 x 5 = 20 and 3 x 5 = 15

  20 + 15 = 35

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CCSS.3.OA.A.1

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CCSS.3.OA.B.5

CCSS.3.OA.C.7

Oscar was thinking about using a doubles strategy because 4 is an even number. Which equation could he use with this model?

• 4 x 6 = (2 x 5) + (2 x 1)

• 4 x 6 = (2 x 6) + (2 x 6)

• 4 x 6 = (1 x 6) + (3 x 6)

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CCSS.3.OA.A.3

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CCSS.3.OA.C.7

CCSS.3.OA.D.9

Samuel told his team to draw an array that is 4 groups of 9 and match it with some of the ways we could separate the rows of the array.

• (1 x 9) (2 x 9)

  (1 x 9) + (3 x 9)

• (2 x 9) + (2 x 9)

  (5 x 4) + (4 x 4)

• (1 x 9) + (4 x 9)

  (2 x 4) + (2 x 5)

• (2 x 9) + (2 x 9)

  (3 x 7) + (1 x 9)

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CCSS.3.OA.A.1

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Grady uses counters to make a 5 x 7 array and a 2 x 7 array. What size array can he make using all of the counters?

• 2 x 7 array

• 5 x 7 array

• 7 x 7 array

• 8 x 7 array

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CCSS.3.MD.C.7

CCSS.3.OA.A.1

CCSS.3.OA.A.3

How can you use 3 x 5 = 15 to help you find 6 x 5 ?

• 6 x 5 is double

  3 x 5 so double 15 to get the answer

• when you double 3 you get 6 and when you double 5 you get 10 so

  6 x 10 is the answer

• I can make an array that is 3 x 5 and count them to find the answer, 15

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CCSS.3.OA.A.1

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CCSS.3.OA.B.5

This array shows 4 rows of 8 strawberries. Draw a line to separate each array into two smaller arrays. Choose other possible answers, then write other new facts on a whiteboard and show them to a teacher.

• (5 x 9) + (0 x 9)

  (1 x 8) + (3 x 8)

• (4 x 4) + (4 x 4)

  (4 x 5) + (4 x 3)

  (2 x 8) + (2 x 8)

• 5 x 8 = 8 x 5

• (4 x 4) + (4 x 4)

  (5 x 8) + (3 x 8)

  4 x 8 = 32

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3