Multiplication tables

Note: if your kid is still young and not too inclined to numbers then it is best to prepare beads, balls , small marbles etc and use them to demonstrate what I am depicting on the examples below. We are into Heuristic.

1 times table

any number x 1 = that number
1 x any number = that number
6 x 1 = 1 + 1 + 1 + 1 + 1 + 1 ( sum 6 groups of 1 ) = 6 ( 1 group of 6 )
1 x 6 = [ 111111] = 1 1 1 1 1 1 ( 6 groups of 1 ) = 6

10 times table

Any number x 10 = that number + the digit 0 (in front)
6 x 10 = 60 [ 10 + 10 + 10 + 10 + 10 + 10 = 60 ]
9 x 10 = 90 [ 10 + 10 + 10 + 10 + 10 + 10 +10 + 10 + 10 = 90 ]
The zero is there to help us know that the 9 & 6 are in the tens place and have positional value of 10.

10 x any number = that number + the digit 0 in front
10 x 8 = 80 = 8 + 8 + 8+ 8 + 8 + 8+ 8 + 8 + 8 + 8
= [8 + 8 + 8+ 8 + 8 + 8+ 8 + 8] + [ 8 + 8 ]
= [8 + 8 + 8+ 8 + 8 + 8+ 8 + 8] + [ 2+2+2+2 + 2+2+2+2 ]
Transfer the 2(s) over to the 8(s) to make 10(s)
= [10 + 10 + 10 + 10 +10 + 10 +10 + 10 ] = 8 x 10 = 80
Note : I break up the 8(s) into 2(s) because 8 + 2 = 10.
10 x 3 = 30
4 x 10 = 40
Hence, you can infer that there is no need to learn the 10 times table.
This is very important - emphasize it.

11 times table

Any number from 1-9 x 11 produces a twin-digits result
3 x 11 = 33
8 x 11 = 88
11+11+11+11+11+11+11+11
remove 1 from each group of 11
= 10 + 10 +10 + 10 +10 + 10 +10 + 10 + [ 1 1 1 1 1 1 1 1 ]
= 80 + 8 = 88 (Once again, I create 10(s).)
11 x any number from 1-9 produces a twin-digits result
11 x 3 = 33
11 x 8 = 88
8 + 8 + 8+ 8 + 8 + 8+ 8 + 8 + 8 + 8 + 8 = 8 + 8 + 8+ 8 + 8 + 8+ 8 + 8 + [ 8 + 8 + 8 ]
= 8 + 8 + 8+ 8 + 8 + 8+ 8 + 8 + [ 2+2+2+2 2+2+2+2 + 8 ]
Transfer the 2(s) to the 8(s) to produce 10(s)
= 10 + 10 + 10 + 10 +10 + 10 +10 + 10 + 8
= 88
Up till now none of the time-tables need any form of learning. Help your kid understand what I have written and if needed demonstrate with actual objects like beads, balls or whatever you have at hand.