Friday, October 23, 2009

Math problems of the week: 3rd grade Investigations vs. Singapore Math

Two ways to learn about the number system by "making numbers":

1. From the beginning of 3rd grade Investigations (TERC) Landmarks in the Hundreds booklet, p. 11:

Ways to Make ___

Choose a number to write in the blank above.
Find equal groupings that make your number.
Record your results in the chart.

Note: In class, we use cubes to make groupings. At home you might use beans, popcorn, pennies paper clips, pebbles, coins, or dots drawn on paper.

The number I am making is ____
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Number of cubes in each group: ____
Picture of how you made your number with these groups


Skip count by the number of cubes in each group.
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Number of cubes in each group: ____
Picture of how you made your number with these groups


Skip count by the number of cubes in each group.
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Number of cubes in each group: ____
Picture of how you made your number with these groups


Skip count by the number of cubes in each group.
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Numbers I tried that didn't work
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2. From the beginning of 3rd grade Singapore Math, Primary Mathematics 3A, Standards Edition, "Numbers 1 to 10,000" unit, p. 13:

Use these cars to make six different 3-digit numbers.

[3] [9] [2]

The three digit numbers are:

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Use these cards to make different 3-digit numbers.

[7] [2] [8]

The greatest number is __________.
The smallest number is __________.

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What is the greatest 4-digit number that you can make using all the digits 1, 0, 3, 8?


____________________

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What is the smallest 4-digit number that you can make using all the digits 7, 5, 2, 6?

____________________

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3. Extra Credit:  

Compare the ratio of time expenditure to learning in each problem set.

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