Thursday, January 7, 2010

Math problems of the week: 5th grade Investigations vs. Singapore Math

I. From the 5th grade Investigations (TERC) Student Activity Book, the last two fractions problems (in Unit 4: What's that Portion?, p 68):

More moves on the Fraction Track

Suppose that you are playing the Fraction Track game with the board that goes from 0 to 2. All your markers are on 0. Find diferent combinations of ways you can move on 2 tracks, 3 tracks, or 4 tracks.

NOTE: Students have been playing a game in which they find different sums that equal a given fraction.

For example, if you draw 7/8, you can move:

On two tracks: 1/2 + 3/8

On three tracks: 1/2 + 1/4 + 1/8

On four tracks: 1/3 + 1/6 + 1/4 + 1/8

Find some different ways you could move if you got these fraction cards.

1. Your fraction card is 9/6. What are some ways you could move?

On two tracks:

On three tracks:

On four tracks:

2. Your fraction cars is 12/10 What are some ways you could move?

On two tracks:

On three tracks:

On four tracks:


II. From the 5th grade Singapore Math Primary Mathematics 5A Workbook, the last two problems on fractions (in Unit 4, Multiply and Divide Fractions, pp. 98-99):

3. After giving 1/3 of his money to his wife and 1/4 of it to his mother, Mr. Li still had $600 left. How much money did he give to his mother?

4. Lucy spent 3/5 of her money on a purse. She spent the remainder on 3 T-shirts which cost $4 each. How much did the purse cost?

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