Developing Mathematical Ideas

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Developing Mathematical Ideas

• Deborah Schifter
• Virginia Bastable
• Susan Jo Russell

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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

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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
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36 x 17 a. Why isnt (30 6) x (10 7)
(30 x 10) (6 x 7)? b. Why isnt (36 x 17)
(33 x 20)? c. Why isnt (36 x 17) (40 x 20)
- 4 - 3 ?
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(x 2) (x 6) x2 2x 6x 12 x2 8x 12
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The repeating pattern of red, blue, green, red,
blue, green continues in the same way.
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1 2 3 4 5 6 7 8 9 10
11 12 13 14
The repeating pattern of red, blue, green, red,
blue, green continues in the same way.
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Red, blue, green repeating pattern
Number of green square Position on the number strip
1 3
2 6
3 9
4 12
5 15
10 ?
20 ?
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Red, blue, green repeating pattern
Number of red square Position on the number strip
1 1
2 4
3 7
4 10
5 13
10 ?
20 ?
13
The repeating pattern of yellow, yellow, green,
green, red continues in the same way.
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This building has five rooms on each floor.