multiplication terms multiplier: 4 multiplicand:3 product:12 factors: 4 and 3 are factors of 12...
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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
Multiplication Models
• Repeated addition
• Area
• Cartesian product
3333
a1
a2
a3
Figure 3.13
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
Multiplication
Properties
• Identity
• Zero
• Commutative
• Associative
Multiplication
Properties continued:
Distributive property--
combines multiplication and addition or subtraction
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.
The area model and the standard multiplication algorithm
Figure 3.20
Figure 3.21
Figure 3.22
Expanded vs compacted
Expanded Compacted
Multiplication-the area model
• How could Jemea’s strategy be represented using the rectangular area model?
10 + 10 + 10 + 2
10
+
4
Understanding FOIL