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21 days of guided reading practice for little learners.
Ages 4–7 · English · Printable PDF
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Three numbers, four related facts. Fact families are the clearest way to show a child that addition and subtraction undo each other. Choose a fact family house, a number triangle, or plain blanks.
A few things worth knowing before you print a stack of them.
A child who writes 8 + 5 = 13 and then has to produce 13 - 5 = 8 is being shown the inverse relationship directly. That single idea removes an enormous amount of later guesswork, and it is the foundation for solving equations.
Setting the two parts only means a child must add before they can write any of the four facts, which turns a recall exercise into a two-step problem.
The trio 3, 5 and 8 generates 3 + 5 = 8, 5 + 3 = 8, 8 − 3 = 5 and 8 − 5 = 3. The point is not that there are four sums to write but that there is one fact underneath them, so a child who knows any one knows all four. This is what turns rote learning into something with structure, and it roughly quarters what has to be memorised.
Fact families make sense once a child sees two parts and a whole. Addition puts the parts together; subtraction takes a part away to find the other. Drawing that as a bar or a triangle before writing any sentences gives the relationship a shape, and children who have that shape recover a forgotten fact by reasoning rather than guessing.
A child who has internalised fact families answers __ + 6 = 14 by reaching for 14 − 6 without being told to. One who has not counts up from six. Both arrive; only the first scales to larger numbers and to algebra. If you want a single reason to spend time on this, that is it.
Children often write the two additions confidently, get the first subtraction right and then write the fourth by swapping digits without thinking. Check it by asking which number is the whole. If they cannot say, the sheet is being completed by pattern rather than understood, and it is worth going back to the part-part-whole picture.
The trio 6, 6, 12 produces only two distinct sentences rather than four, which surprises children who have learned to expect four every time. Including a few doubles deliberately, and asking why there are fewer, is a quick way to check whether the structure is understood or the format is being followed.
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A set of three related numbers and the four number sentences they make. From 3, 5 and 8: 3 + 5 = 8, 5 + 3 = 8, 8 - 3 = 5 and 8 - 5 = 3.
A house shape with the whole in the roof and the two parts in the rooms below. It is the presentation most primary schemes use.
Yes, all four are printed on the key.
A group of three numbers that make a set of related addition and subtraction sentences — 3, 5 and 8 give 3 + 5 = 8, 5 + 3 = 8, 8 − 3 = 5 and 8 − 5 = 3. The purpose is to show that these are one relationship seen four ways rather than four facts to memorise.
Because it cuts what has to be memorised and gives children a way to recover a forgotten fact by reasoning. It also builds the habit that makes missing-number problems and, later, algebraic rearrangement feel natural rather than arbitrary.
Usually six to eight, once single-digit addition and subtraction are both familiar. Introducing them before either operation is comfortable tends to produce sentence-copying rather than understanding of the relationship.
Because the two parts are the same — 6, 6 and 12 give 6 + 6 = 12 and 12 − 6 = 6, and swapping the parts changes nothing. Asking a child why is a quick check on whether they have understood the structure or just the layout.
Addition
Sums in vertical columns or horizontal rows, with carry control.
Subtraction
Take-away problems with optional borrowing and negative results.
Addition & Subtraction
Both operations shuffled together — the way real tests mix them.
Multiplication
Times tables with a focus option — drill one table or mix them all.
Division
Sharing problems built from whole facts, with optional remainders.
Multiplication & Division Fact Families
The same idea for × and ÷ — the fastest route to division fluency.