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Understanding Multiplication

Understanding Multiplication. Use the Base 4 blocks to find these products. 21 4 33 4 × 13 4 × 23 4. Find the following products in Alphabitia: AB CD × B0 × DC. Find the following products in Base 8: 25 8 57 8 × 13 8 × 64 8. Multiplication terms. multiplier: 4

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Understanding Multiplication

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  1. Understanding Multiplication Use the Base 4 blocks to find these products. 214 334 ×134×234

  2. Find the following products in Alphabitia: AB CD ×B0 ×DC

  3. Find the following products in Base 8: 258 578 ×138×648

  4. 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

  5. Multiplication Models • Repeated addition • Area • Cartesian product a1 a2 a3

  6. Figure 3.13

  7. 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

  8. Multiplication Properties • Identity • Zero • Commutative • Associative

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

  10. The area model and the standard multiplication algorithm

  11. Figure 3.20

  12. Figure 3.21

  13. Figure 3.22

  14. Expanded vs compacted Expanded Compacted

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

  16. 10 + 10 + 10 + 2 10 + 4

  17. Understanding FOIL

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