ACARA v9 CONTENT DESCRIPTION “recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts”
Year 3 singles out four multiplication tables to know fluently: the threes, fours, fives and tens. Fluency means more than getting the answer eventually; it means recalling it quickly, so the fact is ready when a bigger problem needs it. These four are chosen because they are the most useful and the easiest to anchor — fives and tens follow clear patterns, and threes and fours appear everywhere. This unit builds each table by skip-counting, practises quick recall, and then does the powerful part: turning every multiplication fact into the division facts hidden inside it.
Skip count the table
Each of the four key tables is built by skip-counting in equal groups.
1 group of 3 is 3. Skip-counting in 3s builds the 3 times table one step at a time.
Building a table by skip-counting
Every times table is skip-counting in equal groups: the fours are 4, 8, 12, 16, and each step adds one more group of four. Building a table this way, rather than only chanting it, shows what the numbers mean — the fifth number in the fours is five groups of four — and gives a reliable way back to any fact a child has not yet memorised. Skip- counting is the bridge between understanding and recall: a child counts the table until it becomes familiar, and familiarity becomes fluency.
Recall a fact
Fluency means recalling these facts quickly, with skip-counting as a backup.
Recall the fact: 4 × 7. If it does not come at once, skip-count to it.
From counting to instant recall
The goal of the unit is recall: seeing 4 × 7 and knowing 28 without counting. Getting there takes practice, and the safety net is always skip-counting — if a fact does not come at once, counting in fours seven times reaches it. Demonstrating proficiency, as the descriptor puts it, means the common facts are quick and dependable, freeing a child's attention for the harder parts of a problem. Recall and skip-counting are partners: one is the destination, the other the road back when memory falters.
Ten is a shift
Multiplying by ten moves each digit up a place and puts a zero in the ones.
Multiplying by ten has a neat pattern. Work out 3 × 10.
The pattern of ten
The tens table is the friendliest of the four because of a clean place-value pattern: multiplying a number by ten shifts its digit up one place and puts a zero in the ones, so three becomes thirty and seven becomes seventy. This is not a trick to memorise separately but a direct consequence of how place value works, and recognising it makes every tens fact instant. The pattern also previews the multiplying by ten and a hundred that comes in later years, where the same shift does all the work.
Flip to divide
Every multiplication fact you know hands you the matching division facts.
Start from a times fact you know: 3 × 4 = 12. Now turn it into division.
Every fact flips to a division
The heart of this unit is that multiplication and division are inverses, so each times fact hands over division facts for free. Because 5 × 6 = 30, it follows at once that 30 ÷ 5 = 6 and 30 ÷ 6 = 5. A child who knows the four times tables therefore already knows the matching division facts — they just have to flip them. Developing the related division facts, exactly as the descriptor asks, roughly doubles what the memorised tables are worth, because every product carries its divisions inside it.
Division by a known fact
A division is solved by recalling the times fact that produces the total.
Which known fact helps you work out 20 ÷ 5?
Dividing by recalling a fact
This inverse link turns division into a recall task. To work out 20 ÷ 5, a child asks what times five makes twenty — and knowing 5 × 4 = 20 answers it instantly: the quotient is 4. Division stops being a separate, harder operation and becomes a known multiplication fact read backwards. Applying the facts this way, as the curriculum intends, is what makes simple division quick for a child who has the tables, and it is why fluency with multiplication pays off twice over.
The array holds four facts
A single array carries two multiplication facts and their two division facts.
This array shows 3 × 5 and 5 × 3. Reveal the two divisions hidden in it.
One array, a whole family
An array ties it all together: a three-by-five array of dots shows 3 × 5 and 5 × 3 at once, and the very same dots, regrouped, show 15 ÷ 3 and 15 ÷ 5. One picture holds the entire fact family — two multiplications and two divisions built from the same three numbers. Seeing a family in a single array is the clearest proof that these four facts are really one relationship viewed from different sides. With the four tables built, recalled, patterned and flipped to division, a child has the fluent number facts that the rest of primary mathematics leans on, completing the Year 3 Algebra strand.
Quick self-check
1. What is 4 × 7?
2. Which division belongs with 5 × 6 = 30?
3. What is 3 × 10?
4. Twenty is shared into groups of 5. How many groups? (Use 5 × ? = 20.)