Bridging to ten for times tables

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Making 7

Are there any tricks to learning the 7 times tables? They were my most hated as a child and are the times tables that my two Year 5 tutoring students find the most difficult. There is no repeated number pattern in the ‘ones’ column, until you reach 7×11 (7, 14, 21, 28, 35, 42, 49, 56, 73, 70, 77) – making it such a difficult pattern to remember that it’s pointless.

It seems that the most difficult part of the seven times tables is crossing into the next decade, going from the numbers in the twenties, to the numbers in the thirties, all while repeatedly adding 7. The girls are confident at adding numbers 1-10 to a number ending in a zero, so I needed to help them extend this skill into their times tables.

So today, I asked the two girls “Give me two numbers that equal 7”.

They came up with the 3 combinations that you would find on two dice:

1+6, 2+5 & 3+4

And then we skip counted by 7, breaking up the 7 into two components if we needed.

Like so:

7 + (3+4) : First, add the 3 to bridge to ten. Then, simply add 10+4.

14 + (6+1): Choose the number that will bridge to the next ten; in this case, 6. Then, add 20+1.

21 + 7. The girls knew what 1+7 was, so this was easy as we didn’t need to bridge to ten.

28 + (2+5). I began to ask the girls, “How many to get to the ten? What do we have left to add?”

As I explained to the girls’ mother afterwards, bridging to ten is such an important part of basic addition, but sometimes we forget that it still applies for repeated addition, that being multiplication.

I’m planning on using the same strategy to help the girls work on their 6 and 8 times tables, as they’re the only tables we are yet to master. Unless there’s some other easy tricks for those tables?

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