Friday, January 28, 2011

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

I. From the 4th grade Investigations "Assessment: Numbers to 1,000", given in late January:

1. Listen to the 3-digit number and write it down.  [623]

What is 1 more than the number?
What is 1 less than the number?
What is 10 more than the number?
What is 10 less than the number?
What is 40 more than the number?
What is 40 less than the number?
What is 200 more than the number?
What is 200 less than the number?

2. Put these numbers in order from least to greatest.

108 80 784 39 487

II. From very beginning of the 4th grade Singapore Math curriculum (Primary Mathematics 4a, pp. 15-16):
1.
(a) _____ is 1000 more than 42,628
(b) 263,240 is 10,000 more than _____
(c) _____ is 100 less than 90,000
(d) 86,000,000 is 100,000 less than _____
(e) 45,600 is _____ more than 45,500
(f) 384,000 is _____ less than 394,000
(g) 29,409 + _____ = 30,409
(h) 2,483,000 - _____ = 2,482,000

...

5. Arrange the numbers in increasing order.
(a) 3695 3956 35,096 30,965
(b) 345,760 296,870 503,140 462,540

III. Extra Credit

My daughter received a B on the Investigations Assessment last week because she wrote that 200 more than the number (623) is 1023. I have no idea why she did this, nor does she. As for her teacher, she simply marked my daughter's answer as incorrect and wrote in the correct answer. Last week my daughter also completed Singapore Math's 4th grade Challenging Word Problems booklet, accurately completing such problems as:
Erin has $2.55 more than Roy. Jason has 4 times as much money as Eric. The 3 boys have $24.15 altogether. How much money does Jason have?
Speculate on the intended and actual value of assessments like the Investigations "Assessment."

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