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21 days of guided reading practice for little learners.
Ages 4–7 · English · Printable PDF
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The same structure applied to multiplication and division. For many children this is the moment division stops being frightening, because it becomes a multiplication fact read in a different direction.
A few things worth knowing before you print a stack of them.
A child who knows 6 x 7 = 42 already knows 42 divided by 7. Fact families make that link explicit rather than leaving it to be discovered, which is why they usually produce a faster jump in division than division drills do.
Add a multiplication section to the same worksheet covering the same table. The recall practice and the relationship practice reinforce each other on one page.
From 4, 6 and 24 come 4 × 6 = 24, 6 × 4 = 24, 24 ÷ 4 = 6 and 24 ÷ 6 = 4. Presenting these together is what makes division recall possible at all: a child asked for 24 ÷ 6 who has only ever practised multiplication has no route to the answer except trial. One who has met the family reaches for the multiplication fact directly.
Four rows of six dots is 4 × 6, and it is also 24 shared into four rows, and also 24 grouped into sixes. One picture holds all four sentences, which is far more convincing than being told they are related. Sketching the array before completing a sheet takes a minute and changes what the sheet is doing.
Division facts that give children trouble are almost always the inverses of multiplication facts they have not secured — 56 ÷ 7 is hard exactly when 7 × 8 is. Rather than drilling division, find the weak multiplication fact and build the family around it. The division usually arrives with it.
7, 7 and 49 give only 7 × 7 = 49 and 49 ÷ 7 = 7. Children expecting four sentences every time get stuck, which is useful: it forces them to think about what makes the sentences different rather than filling a template. A few squares on each sheet is worth including for that reason alone.
Fact families only work with exact division, because the trio has to reconstruct in both directions. If you want remainders, use the division generator instead. Mixing them here obscures the inverse relationship that the whole exercise exists to demonstrate.
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A division worksheet practises the operation. A fact family shows why the answer is what it is, by tying it back to a multiplication fact the child already knows.
The difficulty setting controls the factor range, from 1 to 5 at the easiest up to 6 to 20 at the hardest.
Three numbers that generate two multiplications and two divisions — 4, 6 and 24 give 4 × 6, 6 × 4, 24 ÷ 4 and 24 ÷ 6. They show that multiplication and division are inverse operations rather than separate topics to be learned twice.
They give children a route to a division answer through a multiplication fact they already know. Asked for 42 ÷ 6, a child who has met the family reaches for 6 × 7 rather than working it out by trial, which is why weak division usually traces back to weak tables.
Because both factors are the same, so swapping them changes nothing — 7, 7 and 49 give only two distinct sentences. Including a few is a good check on whether a child is reasoning about the numbers or filling in a remembered layout.
No. The relationship only holds when the division is exact, since the three numbers have to rebuild each other in both directions. Practise remainders on a division sheet instead, where they are the point rather than an obstruction.
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.
Addition & Subtraction Fact Families
Three numbers, four related facts — the inverse relationship made visible.