My son is very interested nowadays in looking for patterns.

He started with simple patterns like ABCABC ..., then developed to complex ones like AABCCCAABCCC, (where A, B & C can stand for colors, shapes, letters, numbers, objects, animals, etc... ) or even combinations of these. Then he started applying the concept to numerics like 1,3,5,7,.... or 11,22,33,.... or even 120,230,340,....

It is an interesting game to try to solve the rule/formula and guess the whole series.

For example: The series 3,5,7, ... is based on the formula: 2n+1 where n=1,2,3,...
 
More info about sequences can be found at
http://www.mathsisfun.com/algebra/sequences-series.html

More series/patterns examples are most welcome.

Rima
 

Dear Aiysha,

You can download Arabic files in the Free Downloads section, posted by Ayesha Nicole and myself, at the following url :

http://forum.brillkids.com/downloads/?cat=135

Hope this would help.

 

Dear Ayesha & Everyone,

Here are two examples for squaring a 2 digits number:

Example 1: XY = 64
1) Y Square is 16, so the last digit is 6, and I carry 1.
2) 2 times Y is 8, The result times X, 8x6 = 48, The result 48 +1 (carried in step 1) = 49, so the 2nd digit is 9, and I carry 4.
3) X square is 36, the result 36 + 4 (carried in step 2) = 40, and these are the 1st digits.
Square(XY)=4096

Example 2: XY= 97
1) Y Square is 49, so the last digit is 9, and I carry 4.
2) 2 times Y is 14, The result last digit, 4, times X, 4x9 = 36, The result 36 +4 (carried in step 1) = 40, so the 2nd digit is 0, and I carry 4.
3) Y is greater than 5, so X times X+1, 9x10 = 90 , the result 90 + 4 (carried in step 2) = 94, and these are the 1st digits.
Square(97)=9409


Isn't it easy !!!!

 
Rima

Dear Spring & Everyone,

To start learning the abacus math, one should be prepared for, at a minimum, basic number counting from 1 to 10 and backward. The earliest recommended age to start the abacus math is normally about 5 years old, but I think  that Doman Brillkids can definitely start earlier !!!

Squaring a 2-digit number: XY

1- The last digit (units column): The Last digit of squaring the 2nd digit (Y), Keep the carry1 for step 2.

2- Next digit (tens column) : The last digit of multiplying the 1st digit (X) by the units of (2 x 2nd digit (Y)) and adding the carry1 in step 1, Keep carry2 for step 3.
 
3- First digit(s):
     a- If Y is less than 5, Square the 1st digit (X) and add carry2.
     b- If Y is greater or equal to 5, Multiply the 1st digit (X) by (X+1) and add carry2.


Hope it is not too confusing.

 
Rima

Just calculate,
 
(13837) X (Your Age) X (73) = ?????
 
Just try it, You will be getting an interesting Result.

 
Rima

People have counted, added and subtracted with an abacus since ancient times. The name comes from the Greek word, abax, meaning "board" or "calculating table", used for doing or teaching arithmetic." Arithmetic includes addition, subtraction, multiplication and division. The abacus can also be used to work with fractions and with finding square and cube roots.

The advantages of its use over pencil or pen arithmetic is time . It is faster than writing down the problem and solving it. When working with the abacus one just needs to be accurate. You leave the memory work to the abacus frame.

For more info, check the folllowing link
http://www.geocities.com/learner_center/abacus.html

 

Here is a comprehensive web page including more than 600 Math Tips & Tricks.

http://mathforum.org/k12/mathtips/beatcalc.html

Hope you'll enjoy 

Rima
 

   Now look at this symmetry:
 
   1 x 1 = 1
   11 x 11 = 121
   111 x 111 = 12321
   1111 x 1111 = 1234321
   11111 x 11111 = 123454321
   111111 x 111111 = 12345654321
   1111111 x 1111111 = 1234567654321
   11111111 x 11111111 = 123456787654321
   111111111 x 111111111=12345678987654321

 

 
   9 x 9 + 7 = 88
   98 x 9 + 6 = 888
   987 x 9 + 5 = 8888
   9876 x 9 + 4 = 88888
   98765 x 9 + 3 = 888888
   987654 x 9 + 2 = 8888888
   9876543 x 9 + 1 = 88888888
   98765432 x 9 + 0 = 888888888

Brilliant isn't it?

Another one
 
   1 x 9 + 2 = 11
   12 x 9 + 3 = 111
   123 x 9 + 4 = 1111
   1234 x 9 + 5 = 11111
   12345 x 9 + 6 = 111111
   123456 x 9 + 7 = 1111111
   1234567 x 9 + 8 = 11111111
   12345678 x 9 + 9 = 111111111
   123456789 x 9 +10= 1111111111

 

Did you know that?

   1 x 8 + 1 = 9
   12 x 8 + 2 = 98
   123 x 8 + 3 = 987
   1234 x 8 + 4 = 9876
   12345 x 8 + 5 = 98765
   123456 x 8 + 6 = 987654
   1234567 x 8 + 7 = 9876543
   12345678 x 8 + 8 = 98765432
   123456789 x 8 + 9 = 987654321

 

Have you ever asked why 1 is "one", 2 is "Two", 3 is "Three", etc ... ?

Easy, very easy ... !

These are angles !!!

For more details, check the attached ppt slideshow 

To all those interested in French Language,

I have added in the VIDEO Gallery section a series of videos from imagiers teaching numbers, alphabet, vegetables, fruits, animals, etc ...

Hope you will enjoy 

Hello Twinergy,

The problem may be with your monitor/LCD. I advice you to try to run your poweproint slideshows on a different PC, or at least, use a different monitor.

Hope this will help.