Sunday 21 October 2012

2nd grade questions continued

**1. Ask them, similar to 2s table, if there is a table that gives all odd numbers? (Tables from 1 to 10).

2. What happens if you multiply a number with zero? Generalize (without explanation) and make them understand. 
3. What happens if you add a number and zero? Generalize (without explanation) and make them understand. 
4. What happens if you subtract a number from itself? You get zero, generalize (without explanation) and make them understand. 
**5. Which number is in the multiplication tables of 2 and 3 (It is six)? (A little difficult question for pupils at this age to understand the relation between many variables). 
***6. Which number is in the tables of 2, 3, 4 and 5 (it is 60)? (If your kid answers this, without any help, then he/she is like a genius). 
7. Which numbers multiplication table can get 4 and 8? (Either 2 or 4). 
8. Which numbers multiplication table can get 3 and 6? (It is 3). 
9. What numbers do you get if you keep adding 2 to 1?
10. What numbers do you get if you keep adding 2 to 0 (or 2)? 
11. Tell them that, n * 2, and n + n are same, using examples (only, do not use algebraic symbols like n etc...). Similarly, try to generalize to n * 3 and n + n + n, like this, do till n * 6. 
Caution: Do not generalize the notions of LCM and GCD, these are not for the 2nd grade pupils. Without the knowledge of factorization, these do not make sense yet.

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!

Monday 15 October 2012

Algebra Solver

Algebra Solver is a unique site, where, all forms of math are available. At Algebra Solver, we provide challenging math problems, Math Olympiad solutions, math teaching material to help the average students, everything. Algebra Solver is the only place on Internet, where simplest explanation of the science (Mathematics) and simplest problem-set leads naturally to the complex, and more fun side of it. And, all the while, you enjoy it, because it comes from a learned person, who knows how to convey the concepts. At Algebra Solver, we do not use text-books, nor do we use answer keys, we use practical knowledge to bring about the triviality called "the theory". Come to Algebra Solver, and enjoy learning math!

There are many types of pupils. Some can memorize facts, some cannot. Some can relate to everyday happenings easily, yet some can't do a simplest of the daily task on their own. Remember, children lacking in practical ability can be academically outstanding, or, they could be bad in academics too. The segment of children to which education and schools cater to, are the ones who can memorize facts. Today's education system discourages pupil from asking a lot of valuable doubts, and only works with someone who can memorize, but can't relate to anything happening around him.

Algebra Solver material is designed to help the later kind. We teach through examples, while presenting the basic form of science, we also draw the scientific concepts from real-world. This helps pupils to understand the subject, rather than just plain "committing to memory". I learnt the first way, and had to change to second way, sometime while facing the competition. (The reason I could succeed, was that I remembered almost all facts learnt so far, so, while switching, could re-check all of them committed to memory, to application. But what about people who can't remember much? They should not lose to competition!! They are still bright pupils!!).

Remember me, read without understanding, you stand no chance in the competitive world. Whereas, read with being able to relate to practice, you enjoy learning, and at the same time, you get the gist of it. All too easy, huh! Yes, we make it easy for you, at Algebra Solver. Come here, we will write about various basic math topics, leading to advanced topics from basic ones.