1. Developing Mathematical Ideas Deborah Schifter Virginia Bastable Susan Jo Russell

2. Seven DMI modules Building a system of tens Making meaning for operations Examining features of shape Measuring space in one, two, and three dimensions Working with data Reasoning algebraically about operations Patterns, functions, and change

3. 36 + 17 a. (30 + 6) + (10 + 7) = (30 + 10) + (6 + 7) = (40 + 13). b. (36 + 17) = (33 + 20) Move 3 from the 36 to the 17. or (36 + 17) = (40 + 13) Move 4 from the 17 to the 36. c. Round up to (40 + 20). Then subtract the extra 4 and the extra 3

4. 36 x 17 a. Why isn’t (30 + 6) x (10 + 7) = (30 x 10) + (6 x 7)? b. Why isn’t (36 x 17) = (33 x 20)? c. Why isn’t (36 x 17) = (40 x 20) - 4 - 3 ?

6. X 2 X 6 (x + 2) (x + 6) = x 2 + 2x + 6x + 12 = x 2 + 8x + 12

9. The repeating pattern of red, blue, green, red, blue, green continues in the same way.

10. The repeating pattern of red, blue, green, red, blue, green continues in the same way. 1 2 3 4 5 6 7 8 9 10 11 12 13 14

11. Red, blue, green repeating pattern Number of green square Position on the number strip 13 26 39 412 515 10? 20?

12. Red, blue, green repeating pattern Number of red square Position on the number strip 11 24 37 410 513 10? 20?

13. The repeating pattern of yellow, yellow, green, green, red continues in the same way.

14. This building has five rooms on each floor.