Tuesday, September 22, 2009

Math problems of the week: 3rd grade Investigations (TERC) vs. Singapore Math

I. From the second 3rd grade Investigations homework assignment (Unit 1, Session 2.1, "Trading Stickers, Combining Coins", p. 38):

Which addition combinations are you practicing?

_________________ _________________
_________________ _________________
_________________ _________________

2. Write two addition combinations that are hard for you, and explain what helps you remember them.
Addition combination: _________________
What helps me:
________________________________________________________________
________________________________________________________________

Addition combination: _________________
What helps me:
________________________________________________________________
________________________________________________________________

3. How did you practice your addition combinations? Who helped you?
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________

II. From the second 3rd grade Singapore Math exercise (Primary Mathematics 3A Standards Edition, Unit 1, "Numbers 10-10,000", p. 11):

Write the missing numbers:

(a) 999 = 900 + ____ + 9
(b) 2658 = 2000 + 600 + 50 + ____
(c) 4955 = 4000 + 900 + ____ + 5
(d) 1773 = 1000 + ____ + 70 + 3
(e) 3332 = ____ + 300 + 30 + 2
(f) 5690 = 5000 + ____ + 90
(g) 6206 = 6000 + ____+ 6

III. Extra Credit:
Consider a third grader child who isn't practicing any particular addition combinations because he or she has been after-schooled using the Singapore Math curriculum, and thus has mastered all addition combinations worth remembering, as well as the standard algorithm for adding arbitrary numbers. How is he or she to complete the Investigations problem set above?

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