Thursday, February 10, 2011

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


Initial 6th grade fractions problems:

I. The second fractions problem set in 6th Grade Connected Math (Bits and Pieces I, p. 7):

A. 
1. Use strips of paper that are 8 1/2 inches long. Fold the strips to show halves, thirds, fourths, fifths, sixths, eighths, ninths, tenths, and twelfths. Mark the folds so you can see them better.

2. What strategies did you use to fold your strips?

B.
1. How could you use the halves strip to fold eighths?
2. How could you use the halves strip to fold twelfths?

C. What fractions strips can you make if you start with a thirds strip?

D. Which of the fraction strips you folded have at least one mark with the arks on the twelfths strip?

E.
1. Sketch a picture of a fifths strip and mark 1/5/, 2/5, 3/5, 3/5, and 5/5 on the strip.
2. Show 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, and 10/10 on the fifths strip that you sketched.

F. What do the numerator and the denominator of a fraction tell you?


II. The second fractions problems set in 6th Grade Singapore Math (Primary Mathematics 6B, p. 7):

1. Divide

(a) 1/3 ÷ 3 = 1/3 × 1/3 =

(b) 1/6 ÷ 6 = 1/2 × ___ =

(c) 1/6 ÷ 4 =

(d) 4/5 ÷ 2 =

(e) 2/5 ÷ 4 =

(f) 8/9 ÷ 4 =

(g) 3/4 ÷ 2 =

(h) 2/3 ÷ 6 =

III. Extra Credit:

What is your preferred way of discovering things about fractions: fraction strips or repeated calculation of carefully contrived fractions problems?

1 comment:

Cynthia said...

I have to say that I would have enjoyed doing the fraction strips (first time I've felt that way about the problems you've posted from them) but I would have HATED having to write about it in what would have had to be either an incredibly tedious or frustratingly imprecise way.