Saturday 20 October 2012

2'nd grade questions

Questions for Second Grade pupils to make them think. (Note: Pupil should be aware of odd/even number, and multiplication tables from 1 to 9).

1. Which is greater, 7 * 9 or 9 * 7? Generalize and make them understand the generalization.
***2. 5 is a number that does not come in any other multiplication tables (except 5s itself and that of 1s). Give me another number that (between 1 and 10) does not appear in other multiplication tables? (He/She might not understand the generic notion of prime numbers yet).
*3. What are the numbers in 2's multiplication table? Are they even or odd? Generalize and make them understand. (Just generalize for 2, if not for all even number multiples).
4. What are the numbers in 1's multiplication table?
*5. If you take 2 odd numbers like 5 and 3, and add them, you get 8, which is an even number. Generalize and make them understand it.
**6. If you take 2 odd numbers like 5 and 3, and subtract them, you get 2, which is an even number. Generalize and make them understand it.
**7. If you take 2 odd numbers like 5 and 3, and multiply them, you get 15, which is an odd number. Generalize and make them understand it.
***8. Make them tell the multiplication table of 9. For example, take 9 * 4 = 36. Sum the digits 3 and 6 = 9.  Do the same for another multiple of 9, say 9 * 6 = 54, whose sum is again 9. Generalize it and make them understand.
*9. Make them think and tell you, if that happens with any other multiplication table. Like, for example, 8's table, summing digits giving 8 for all multiples.
10. Make them think, what numbers are got if two even numbers are added, subtracted and multiplied with each other.

Caution: Do not use algebraic symbols like x and y in telling them about these concepts. Just talk in their language only, and make them understand.

They should understand that math is fun, understanding real theorems is not so important. Make them want more of this exciting game, and come back to you the next day for more. Encourage them to share this new findings with their friends or even the entire class. Yes, it is fun to learn Math!

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