multiplication terms multiplier: 4 multiplicand:3 product:12 factors: 4 and 3 are factors of 12...
Post on 19-Dec-2015
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Multiplication terms
1234
multiplier: 4multiplicand: 3product: 12factors: 4 and 3 are factors of 12multiple: 12 is a multiple of 4
12 is a multiple of 3
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Multiplication Models
• Repeated addition
• Area
• Cartesian product
3333
a1
a2
a3
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Figure 3.13
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Units
• For addition and subtraction3 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 notice:a) 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 Jemea’s strategy be represented using the rectangular area model?
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10 + 10 + 10 + 2
10
+
4
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Understanding FOIL