6 Times Table

6 = 1 + 5
= 2 + 4
= 3 + 3
Instead of having to repeat “that number “ I will like to represent it with n. So, from here on n means “that number”.
any number x 6 = n x 1 + n x 5
= n x 2 + n x 4
= 2 x n x 3
Since we have covered 1- 5, 10 , 11 we don’t have to deal with them when learning the 6-table except to mention them in passing.

Notice that 25 + 5 + 10 + 2 = 25 + [ 1 + 2 ] x 5 + 2 This method is a little more efficient than the rectangle :

• there are 3 numbers 5 x 5 , ( 1 + 2 ) x 5 , 1 x 2
• can be used to calculate any numbers that are close to 5

7 x 8 = ( 5 + 2 ) x ( 5 + 3 ) = 25 + ( 3 + 2) x 5 + 3 x 2
= 25 + 25 + 6 = 56
Once you get the hang of it, this method is very fast and can be extended into the 10(s), 20(s) etc And, it is very good for calculating squares eg 7 x 7 = ( 5 + 2 ) x ( 5 x 2 ) = 25 + 20 + 4 = 49
8 x 8 = ( 5+3 ) x ( 5 + 3 ) = 25 + 30 + 9 = 64
8 x 6 = ( 5 + 3 ) x ( 5 + 1 ) = 25 + 4 x5 + 3 =25 + 20 + 3 = 48
8 x 6 = 6 x 8 = 2 x 6 x 4 = 24 + 24 = 48
8 x 6 = 10 x 6 - 2 x 6 = 60 -12 = 48
9 x 6 = ( 5 + 4 ) x (5 + 1 ) = 25 + 5x5 + 4 = 54
9 x 6 = 10 x 6 - 1 x 6 = 60 - 6 = 54
12 x 6 = 11 x 6 + 1 x 6 = 66 + 6 = 72
If nothing else works for your child we can return to the age old method, Heuristic.
Before that, in order to create space for this document I will define certain terms to reduce the amount of writing required.