Understanding Multiplication Use the Base 4 blocks to find these products. 21 4 33 4 × 13 4 ×23 4.

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Presentation transcript:

Understanding Multiplication Use the Base 4 blocks to find these products × 13 4 ×23 4

Find the following products in Alphabitia: ABCD ×B0 ×DC

Find the following products in Base 8: ×13 8 ×64 8

Multiplication terms multiplier: 4 multiplicand:3 product:12 factors: 4 and 3 are factors of 12 multiple: 12 is a multiple of 4 12 is a multiple of 3

Multiplication Models Repeated addition Area Cartesian product a1a1 a2a2 a3a3

Figure 3.13

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

Multiplication Properties Identity Zero Commutative Associative

Multiplication Properties continued: Distributive property-- combines multiplication and addition or subtraction

The area model and the standard multiplication algorithm

Figure 3.20

Figure 3.21

Figure 3.22

Expanded vs compacted ExpandedCompacted

Multiplication-the area model How could Jemea’s strategy be represented using the rectangular area model?

Understanding FOIL