Multiplication terms

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Multiplication terms
multiplier 4 multiplicand 3 product 12 fact
ors 4 and 3 are factors of
12 multiple 12 is a multiple of 4
12 is a multiple of 3
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Multiplication Models

• Repeated addition
• Area
• Cartesian product

a1
a2
a3
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Figure 3.13
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Units

• For addition and subtraction
• 3 hours plus 5 miles
• For multiplication
• 8 miles per hour for 5 hours
• how many miles?
• 8 mi 5 hr 40 mi
• hr

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Multiplication

• Properties
• Identity
• Zero
• Commutative
• Associative

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Multiplication

• Properties continued
• Distributive property--
• combines multiplication and addition or
  subtraction

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Class Notes--Vidoes

• In general, watch the videos, and try to
  noticea) what is the child doing?b)
  mathematically, what is going on?c)
  mathematically, why is it correct or incorrect.

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The area model and the standard multiplication
algorithm
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Figure 3.20
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Figure 3.21
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Figure 3.22
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Expanded vs compacted

• Expanded Compacted

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Multiplication-the area model

• How could Jemeas strategy be represented using
  the rectangular area model?

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Understanding FOIL