Friday, May 8, 2009

Math problems of the week: 6th grade Connected Math vs. Singapore Math

1. The first two problems in Bits and Pieces II, More About Percents, the second chapter on percents in 6th grade Connected Math:

A survey asked cat owners, Does your cat have bad breath? Out of the 200 cat owners surveyed, 80 answered yes to this question. What percent of the cat owners answered yes?

Try to find more than one way to solve this problem. For example, you might begin by asking yourself what fraction of the cat owners surveyed said their cats have bad breath. Be prepared to explain the different methods you use to solve the problem.



If 80 out of 400 cat owners surveyed said their cats have bad breath, what percent of the cat owners is this? Is this percent greater than, equal to, or less than the percent represented by 80 out of 200 cat owners. Explain.


2. The first two word problems in Primary Mathematics 6A, Percentage, the only chapter on percents in 6th grade Singapore Math:

There are 25 girls, 18 boys and 7 adults on a bus. What percentage of the people on the bus are adults?

Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money did Samy receive?

3. Extra Credit

For each problem set, estimate the percentage of time spent on higher level thinking, as in logical and mathematical reasoning.

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