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Three numbers make a family: write the two additions and two subtractions (or × and ÷) they belong to.
A fact family is a group of three numbers that are linked by four facts. 3, 5 and 8 give 3 + 5 = 8, 5 + 3 = 8, 8 − 3 = 5 and 8 − 5 = 3. Seeing them together shows children that subtraction is not a new set of facts to learn but addition backwards, which halves the work. The triangle puts the whole at the top and the two parts below. The same idea works for multiplication and division: 4, 6 and 24 give two products and two quotients.
Best for ages 6–9
Then the family has only two different facts, for example 5 + 5 = 10 and 10 − 5 = 5. It is a good discussion point.
Within 10 from about 6, within 20 from 7, and × ÷ once the times tables are being learnt (8–9).
Yes, the four facts for every triangle.
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