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

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

3. Find the following products in Base 8: 25 8 57 8 ×13 8 ×64 8

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 a1a1 a2a2 a3a3

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 ExpandedCompacted

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