Learning Map

Properties of Operations

Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

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 use tricks like breaking up a number — working out '6 × 14' as '6 × 10 + 6 × 4 = 60 + 24 = 84' — to make multiplication easier?

Where this sits on the map

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

Builds on
Commutative Multiplicationages 6–7Applying all three properties extends Y2 commutativity understanding
What Multiplication Meansages 8–9Using properties requires understanding what multiplication means
Properties of Operationsthis skill · ages 8–9
Unlocks
Patterns in Times Tablesages 8–9Explaining patterns uses properties of operations
Factor Pairs & Commutativityages 8–9Using commutativity in factor pairs draws on properties understanding
Multiply & Add Problemsages 8–9Distributive law is explicitly used in problem-solving

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

AC9M5A01high confidenceYear 5 · Algebra

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

AC9M3A03high confidenceYear 3 · Algebra

recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts

AC9M2A03high confidenceYear 2 · Algebra

recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

NSW syllabus codes & stages only

MA3-MR-01high confidenceMathematics K-10 · Stage 3
MA3-MR-02medium confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M2A04high confidenceMathematics · Level 2 · Algebra strand
VC2M5A01high confidenceMathematics · Level 5 · Algebra strand
VC2M3A03medium confidenceMathematics · Level 3 · Algebra 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 →