## Thursday, December 3, 2009

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

1. The final fractions calculations problems in 6th grade Connected Mathematics 2, Bits and Pieces I: Understanding Fractions, Decimals, and Percents, p. 52:

Extensions:

For exercises 55-60, find an estimate if you cannot find an exact answer. You may find that drawing a number line, a hundredths grid, or some other diagram is useful in solving the problem. Explain your reasoning.

55. What is 1/4 of 12?

56. What is 2/9 of 18?

57. What is 1/4 of 3?

58. What is 3/4 of 8?

59. What is 2/9 of 3?

60. What is 3/4 of 3?

2. The final fractions calculations problems in 6th grade Singapore Math Primary Mathematics 6B Workbook, p. 13:

Find the value of each of the following:

(a) 1/2 + 1/2 × 1/4 - 3/8

(b) 2/5 × (5 - 3) ÷ 7/10

(c) 2/3 ÷ 4 × 3/4

(d) 2 ÷ (1/2 + 1/4) × 3/8

(e) (1 - 3/8) ÷ (1/2 + 1/3)

(f) 1/6 + 5/6 ÷ 5/6 - 2/3

3. Extra Credit

Which problem set involves more mathematical "extensions"?

Find an estimate if you cannot find an exact answer. You may find that drawing a number line, a hundredths grid, or some other diagram is useful in answering this question. Explain your reasoning.