Number-triangle diagrams that turn one trio of numbers into four related facts — addition & subtraction for Grade 1–2, multiplication & division for Grade 3–4. Each set prints with a matching answer key. Always free, no signup.
Open the fact-families builder →A fact family is a set of related facts built from the same three numbers. Add/subtract families have a whole and two parts (3, 4, 7); multiply/divide families have a product and two factors (3, 4, 12). Each trio makes four facts — two for the operation and two for its inverse.
Fact families show that subtraction undoes addition, and division undoes multiplication. Once a child sees that 3 + 4 = 7 and 7 − 4 = 3 use the very same numbers, they learn facts in groups of four instead of one at a time — and inverse operations stop feeling like new skills.
Addition & subtraction fact families come first, in Grade 1–2, alongside number bonds. Multiplication & division fact families follow in Grade 3–4, once the times tables are taking hold. Each worksheet above gives the number triangle and leaves the four facts to complete.
Yes — every set is free to generate and print, with answer keys, no account and no watermark.