Developing Mathematical Ideas Deborah Schifter Virginia Bastable Susan Jo Russell.

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Presentation transcript:

Developing Mathematical Ideas Deborah Schifter Virginia Bastable Susan Jo Russell

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

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

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) ?

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

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

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

Red, blue, green repeating pattern Number of green square Position on the number strip ? 20?

Red, blue, green repeating pattern Number of red square Position on the number strip ? 20?

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

This building has five rooms on each floor.