Learning Map

Advanced Multi-Step Problems

Make sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by analysing given and unknown quantities, planning solution strategies, and evaluating reasonableness using estimation and inverse operations

How to tell they’ve got it

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Try this together

When your child faces a complex maths problem involving algebra, ratio, or fractions with multiple steps, do they break it into manageable parts, estimate what's reasonable, and verify their answer using a different approach?

Where this sits on the map

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

Builds on
Complex Multi-Step Problemsages 9–10Y6 problem-solving extends Y5 multi-step problem analysis
Finding Knowledge Gapsages 10–11Analysing known and unknown quantities in complex maths problems draws on the universal metacognitive monitoring habit
Multi-step problems: choosing operationsages 10–11Multi-step problems draw on four-operation problem-solving
Understanding fractionsages 10–11Ratio/proportion problems are key Y6 multi-step contexts
Advanced Multi-Step Problemsthis skill · ages 10–11
Unlocks
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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

AC9M5N05high confidenceYear 5 · Number

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

AC9M6N05medium confidenceYear 6 · Number

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

AC9M4A01medium confidenceYear 4 · Algebra

find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations

NSW syllabus codes & stages only

MA3-AR-01medium confidenceMathematics K-10 · Stage 3
MA3-MR-01medium confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N07high confidenceMathematics · Level 5 · Number strand
VC2M6N07medium confidenceMathematics · Level 6 · 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 →