Learning Map

Choosing mathematical tools

Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task

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 working on maths, do they choose the right method — doing simple calculations in their head, using written working for complex ones, and sketching a diagram when a problem involves shapes or fractions?

Where this sits on the map

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

Builds on
Choosing the right strategyages 7–8Age 7-8 strategic tool use is prerequisite to age 8-9 level
Equivalent fractions on a number lineages 8–9Equivalent fractions require selecting appropriate fraction models
Numbers on a number lineages 8–9Elapsed time problems require choosing between number line and mental methods
Choosing mathematical toolsthis skill · ages 8–9
Unlocks
Choosing representations strategicallyages 9–10Age 8-9 strategic tool use is prerequisite to age 9-10 level

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

AC9M5N07medium confidenceYear 5 · Number

solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

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

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

NSW syllabus codes & stages only

MA3-RQF-01medium confidenceMathematics K-10 · Stage 3
MA2-AR-01medium confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4N06medium confidenceMathematics · Level 4 · Number strand
VC2M5N07medium confidenceMathematics · Level 5 · 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 →