Mastering Integer Multiplication with Chips

This video tutorial explains how to multiply integers using integer chips. It covers the basic concepts of positive and negative chips, and demonstrates the multiplication of integers with different signs. The tutorial models various multiplication scenarios, such as 4 times 3, 4 times negative 3, negative 4 times 3, and negative 4 times negative 3, using integer chips. It concludes with the formal rules for multiplying integers, highlighting that the product of two integers with the same sign is positive, while the product of two integers with different signs is negative.

What does a positive chip represent?

• Positive 1

• Negative 1

• Zero

• Positive 2

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CCSS.2.OA.A.1

How do a positive chip and a negative chip combine?

• To form positive 2

• To form zero

• To form negative 1

• To form positive 1

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CCSS.7.NS.A.1C

How can we view the meaning of 4 times 3 using integer chips?

• 4 copies of 1

• 4 copies of 3

• 3 copies of 4

• 3 copies of 1

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CCSS.4.NBT.B.5

What is the product of 4 times 3 using integer chips?

• Positive 7

• Negative 12

• Positive 12

• Negative 7

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How can we model 4 times negative 3 using integer chips?

• 3 copies of negative 4

• 4 copies of positive 3

• 4 copies of negative 3

• 3 copies of positive 4

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of 4 times negative 3 using integer chips?

• Positive 12

• Positive 7

• Negative 7

• Negative 12

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How can we view the product of negative 4 times positive 3?

• The opposite of 3 copies of 4

• 3 copies of negative 4

• 4 copies of negative 3

• The opposite of 4 copies of 3

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CCSS.7.NS.A.2A

What is the result of negative 4 times positive 3 using integer chips?

• Negative 12

• Positive 12

• Negative 7

• Positive 7

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How can we view the product of negative 4 times negative 3?

• 3 copies of positive 4

• 4 copies of positive 3

• The opposite of 3 copies of negative 4

• The opposite of 4 copies of negative 3

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CCSS.7.NS.A.2A

What is the result of negative 4 times negative 3 using integer chips?

• Positive 12

• Negative 12

• Positive 7

• Negative 7

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B