Isn’t math so much clearer with colours? And alluring too!  You can now show your 8-year-old why the sum of odd numbers starting from one equals the square of the the number of terms.

Adding 1 Term   → 1 = 12
Adding 2 Terms → 1 + 3 = 22
Adding 3 Terms → 1 + 3 + 5 = 32
Adding 4 Terms → 1 + 3 + 5 + 7 = 42
Adding 5 Terms → 1 + 3 + 5 + 7 + 9  = 5 (See Diagram)
Adding 6 Terms → 1 + 3 + 5 + 7 + 9 + 11 = 62

and so on…..

Adding 250 terms → 1 + 3 + 5 + 7 + 9 + … + Term250 = 2502 = 62500

Here are some other ways of looking at the same sum.

You can even arrange the ascending odd numbers into a spiral mosaic!

Sometimes, math is better played than taught.  And who knows, such patterns may just show up in a PSLE exam!

By the way, I bought these colourful blocks/tiles from the toy department, not from the academic section. Fun-filled math conversations can be found everywhere!

And as we draw towards the close of the year and the beginning of a new one, here’s wishig you a Merry Christmas and a new year filled with forgiveness, love and laughter!