1. Week 6 Warm up Problem: Without doing any calculation, explain why 35 base 7 > 35 base 6. *sign in! (are you here?)

2. Agenda Discuss Exams Multiplication Models Begin Exploration 3.13 Assign Homework

9. Meanings for Multiplication Repeated addition: 3 4 = 4 + 4 + 4 = 12 4 3 = 3 + 3 + 3 + 3 = 12 Area: 4 2 = 4 feet 2 feet

10. Meanings for Multiplication Measured Units: 5 times x units long Cartesian Product: combinations e.g., 3 shirts, 5 pair pants Shirt 1Shirt 2 Shirt 3 J B R K C J B R K C J B R K C

11. Meanings for Multiplication Arrays: 3 5

12. Meanings for Multiplication Rate: 8 miles per hour for 5 hours: 8 5 = 40 miles

13. Exploration 3.13 First, read through the Egyptian Duplation example. Focus on the Hindu-Arabic numerals. (You can ignore the Egyptian Numerals.) With a partner, can you explain what is going on here? If so, can you explain why it works? With your partner, see if you can do 14 41; 65 17; 18 37. Do not use a calculator!!

14. Homework Due Wednesday Read Section 3.3 (up to page 178 – the multiplication algorithm) Class Notes Packet 1. Do Children’s Thinking Activity 1 (pp. 1-3). Write your answers directly in the packet. Due Friday Exploration 3.13 1.Do Egyptian Duplation and Lattice Multiplication for the following problems: (a) 19 73 (b) 26 50 (c) 7 94 2.Try to write in words why mathematically each algorithm works.