Exploring Multiplication with Open Arrays

The video tutorial explains the area model, also known as the open array, for multiplication. It provides three examples: 36 times 5, 53 times 7, and 18 times 6. Each example involves decomposing numbers into smaller parts, multiplying them, and then adding the partial products to find the final result. The tutorial emphasizes the importance of proportionality in the model and demonstrates how to handle different number sizes.

What is the first step in solving 36 times 5 using the area model?

• Multiply 36 by 10

• Add 36 and 5

• Decompose 36 into 30 and 6

• Draw a circle

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CCSS.4.NBT.B.5

What is the result of multiplying 30 by 5 in the first example?

• 150

• 180

• 36

• 30

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CCSS.4.NBT.B.5

What is the sum of the partial products in the first example?

• 30

• 180

• 36

• 150

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CCSS.4.NBT.B.5

In the second example, what do we decompose 53 into?

• 50 and 5

• 50 and 3

• 30 and 5

• 30 and 3

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CCSS.1.NBT.C.4

CCSS.2.NBT.B.5

What is the result of multiplying 50 by 7 in the second example?

• 53

• 370

• 350

• 21

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CCSS.4.NBT.B.5

What is the final answer for 53 times 7 using the area model?

• 350

• 371

• 53

• 21

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CCSS.5.NBT.B.5

In the third example, what do we decompose 18 into?

• 18 and 6

• 8 and 6

• 10 and 6

• 10 and 8

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CCSS.2.OA.A.1

What is the result of multiplying 10 by 6 in the third example?

• 48

• 108

• 60

• 18

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CCSS.3.NBT.A.3

What is the sum of the partial products in the third example?

• 60

• 18

• 108

• 48

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CCSS.4.NBT.B.5

What is another name for the area model?

• Open array

• Circle model

• Square model

• Closed array

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CCSS.4.NBT.B.5