Thursday, March 4, 2010

Math problems of the week: 4th grade Everyday Math vs. Singapore Math

I. The last 4 fractions problems in the 4th grade Everyday Math Student Math Journal, volume 2 fractions unit, "Fractions and Their Uses: Chance and Probability," pp. 227-8.

Write 5 fractions equivalent to 1/6.

Divide. Write the remainder as a fraction.
769/15 =

Suppose you had to explain to a first grader how to read the fraction 1/6.  What would you say?

When discussing fractions, why is it so important to know the value of the whole or ONE? Give an example to support your answer.

II. The last 5 fractions problems in the 4th grade Singapore Math Primary Mathematics 4A, fractions unit, "Fractions," pp. 108-109.

Sara bought 40 m of material. She made 6 curtains from the material. She used 2 m to make each curtain. What fraction of the material did she use for the 6 curtains?

Travis had 160 mangoes. He sold some at \$2 each and made \$240.
(a) How many mangoes did he sell?
(b) What fraction of his mangoes did he have left?

Mary bought a roll of ribbon.  After using 5/8 of the ribbon to decorate some packages, she had 15 ft of the ribbon left. How many feet of ribbon did she buy?

John bought some stamps. He used 3/5 of them to mail letters. He had 12 stamps left. How many stamps did he use?

III. Extra credit:

Comment on the ability of a math buff with Asperger's Syndrome to answer the third and fourth Everyday Math questions, as opposed to the third and fourth Singapore Math problems.

Comment on the ability of an Everyday Math student to answer the third and fourth Singapore Math problems.

Comment on the ability of grade school students in general to satisfactorily answer the third Everyday Math question without the benefits of a math methods class at an education school.