What to notice
A useful anchor is 7 × 7 = 49, one less than 50. From there, 7 × 8 is one more 7, which is 56, and 7 × 6 is one fewer, which is 42.
There is an old memory aid for 7 × 8: the digits 5, 6, 7, 8 in a row, as in 56 = 7 × 8. Plenty of children like it, and it is worth sharing as long as they can also work the fact out.
Splitting 7 into 5 and 2 works for every 7s fact. 7 × 8 is five 8s and two 8s: 5 × 8 = 40 and 2 × 8 = 16, and 40 + 16 = 56. It takes a moment longer, but it never needs a guess, which matters for a child who freezes on a fact they cannot remember.
Counting by 7 is harder than counting by 2, 5 or 10, because the answers cross the tens at different places: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84. Seeing the list written out, as below, helps.
How to practise at home
- Learn one new fact at a time. Spend a few days on 7 × 7 = 49 before adding 7 × 8, and use the drill to keep the older facts warm.
- Say the split out loud: “7 × 6 is five 6s and two 6s, 30 and 12, 42.” After a while the answer arrives before the split does.
- Use the calendar: a week has 7 days. “How many days in 3 weeks? In 8 weeks?” is the 7s table with a calendar to check against.
- If one fact keeps coming out wrong, write it on a sticky note somewhere your child will see it every day, then drill it again a few days later.
Slips to watch for
- Mixing up 7 × 8 and 6 × 9, answering 54 for 7 × 8 or 56 for 6 × 9. The two sit close together and are worth practising as a pair.
- Answering 47 or 48 for 7 × 7. Anchor it as “one less than 50”.
- Counting up from 7 and slipping. If your child counts, let them, but ask which fact they could start from instead: 7 × 5 = 35 is a good jumping-off point.