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Maths ยท Times tables

The 7 Times Table

The 7 is the hard table, and it is hard for a real reason: it is the only one with no trick in it at all.

โ–ถ Practise the 7 table

The whole 7 times table

  1. 7 ร— 1=7
  2. 7 ร— 2=14
  3. 7 ร— 3=21
  4. 7 ร— 4=28
  5. 7 ร— 5=35
  6. 7 ร— 6=42
  7. 7 ร— 7=49
  8. 7 ร— 8=56
  9. 7 ร— 9=63
  10. 7 ร— 10=70

Why this one is different

The 2, 4 and 8 tables are doubling. The 5 and 10 tables have endings you can see. The 9 table has a trick that works every time. The 3 and 6 tables have the digit test. The 7 table has none of that โ€” the answers 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 share no pattern a child can lean on. That is the whole difficulty, and it is not the child.

There are only three new facts

By the time the 7 table arrives, a child knows 7 ร— 1, 7 ร— 2, 7 ร— 3, 7 ร— 4, 7 ร— 5, 7 ร— 6 and 7 ร— 10 from the earlier tables โ€” because 3 ร— 7 and 7 ร— 3 are the same fact. What is genuinely new is 7 ร— 7 = 49, 7 ร— 8 = 56 and 7 ร— 9 = 63. Three facts. A child who is told they have ten to learn is being told something untrue and discouraging.

56, the most missed answer in the grid

7 ร— 8 = 56 is the fact that survives into adulthood as the one people hesitate over. It has a small crutch that costs nothing: 5, 6, 7, 8 โ€” fifty-six is seven eights. Say it in that order and it is a counting sequence rather than a fact.

Step from a fact you have

When the answer will not come, the way through is not to start the chant again. It is to stand on 7 ร— 5 = 35 or 7 ร— 10 = 70 and step. Seven eights is seventy take away two sevens: 70, 63, 56. The help button in the game does exactly this, and it names the fact it is standing on so a child learns the move and not just the answer.

โ–ถ Practise the 7 table