Musical Chairs! Change your table groups. One person may remain at each table. The remaining students move to another table—each going to a different new.

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Presentation transcript:

Musical Chairs! Change your table groups. One person may remain at each table. The remaining students move to another table—each going to a different new table. All tables should have groups that have no more than one person from a previous group.

Homework— Due Monday, 9/24/07 Exploration 3.13 Do #1 b and c, 2 b and c, and 3 b, c, and d. Also, in the Class Notes Packet, do Children’s Thinking Activity 1 (pp. 1-3). Write your answers directly in the packet if you wish

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

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

Exploration 3.13 First, read through the Egyptian Duplation example. Focus on the Hindu-Arabic numerals. With a partner, can you explain what is going on here? With your partner, see if you can do Do not use a calculator!!

Exploration : Now: = ( ) 41 = = 574

Exploration 3.13 Do this one with your partner: = 65 (1 + 16) = = 1105

Exploration 3.13 Lattice Multiplication--this is used today in certain schools. Kids love this! 45 28

Exploration 3.13 You try Lattice Multiplication for 27 13

Exploration 3.13 Cross Product. Read this with your partner three times. Think of as (50 + 6)(40 + 8), and reread the directions. Can you follow it better? In algebra, we learned to multiply binomials: (x + a)(y + b) = xy + xb + ay + ab. (FOIL). Do you see it now???

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

Expanded vs compacted ExpandedCompacted

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

Does this look familiar?