Learning Map

Division as Unknown Factor

Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

How to tell they’ve got it

Tick these off as you see them — no test required.

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Try this together

Can your child work out '32 ÷ 8' by asking 'what do I multiply 8 by to get 32?' — using times table knowledge rather than a separate division method?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on
What Division Meansages 8–9Seeing division as unknown-factor requires understanding division first
What Multiplication Meansages 8–9Connecting division to multiplication requires understanding products
Division as Unknown Factorthis skill · ages 8–9
Unlocks
Unknown in Multiplication & Divisionages 8–9Finding unknown factors requires seeing division as unknown-factor problems
Arrays for multiplication (age 9+)ages 9–10Understanding division as unknown-factor supports short division strategy
Fluent multiplication and division factsages 8–9Using mult/div relationship as strategy supports fluency

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M5A01medium confidenceYear 5 · Algebra

recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

AC9M5A02medium confidenceYear 5 · Algebra

find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

AC9M5N02medium confidenceYear 5 · Number

express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another

NSW syllabus codes & stages only

MA3-MR-01medium confidenceMathematics K-10 · Stage 3
MA2-MR-02low confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M5A01high confidenceMathematics · Level 5 · Algebra strand
VC2M5A02medium confidenceMathematics · Level 5 · Algebra strand
VC2M5N02low confidenceMathematics · Level 5 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

All Multiplication & Division skills →