Learning Map

Order of operations (age 10+)

Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify expressions; connect fraction–decimal–percentage equivalences; use ratio structure to solve proportion problems efficiently

How to tell they’ve got it

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

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Try this together

When your child is simplifying an algebraic expression or comparing ratios, do they look for the underlying structure — like using the order of operations or spotting that two ratios are equivalent — to make the calculation more efficient?

Where this sits on the map

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

Builds on
Fractions, Decimals & Percentagesages 9–10Y6 structural reasoning extends Y5 structure use
Spotting Patternsages 7–8Using algebraic and shape structure to solve problems is the advanced maths form of the universal pattern-recognition habit
Classifying shapes by propertiesages 10–11Shape hierarchy exploits structural relationships
Decimals and fractions (age 10+)ages 10–11FDP equivalences are key Y6 structural connections
Order of operations (age 10+)this skill · ages 10–11
Unlocks
Nothing on the map depends on this yet.

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

AC9M4A02medium confidenceYear 4 · Algebra

recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator

AC9M4N06medium confidenceYear 4 · Number

develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder

AC9M5N06medium confidenceYear 5 · Number

solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers

NSW syllabus codes & stages only

MA3-2DS-03medium confidenceMathematics K-10 · Stage 3
MA3-2DS-02medium confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M4A02medium confidenceMathematics · Level 4 · Algebra strand
VC2M4N06medium confidenceMathematics · Level 4 · Number strand
VC2M5N06medium 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 Mathematical Thinking skills →