Learning Map

Division with remainders

Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimation

How to tell they’ve got it

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Try this together

If your child reads 'a school buys 7 boxes of 24 pens and shares them equally between 8 classes', can they work through all the steps and decide sensibly what to do with any remainder?

Where this sits on the map

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

Builds on
Multiply & Add Problemsages 8–9Y4 M×D problem-solving is prerequisite to multi-step four-operation problems
Arrays for multiplication (age 9+)ages 9–10Must have formal division method before solving multi-step problems
Long multiplicationages 9–10Must have formal multiplication method before solving multi-step problems
Division with remaindersthis skill · ages 9–10
Unlocks
Brackets in Expressionsages 10–11Evaluating grouped expressions formalises multi-step calculation skills from Y5
Multi-step problems: choosing operationsages 10–11Y6 multi-step four-op problems extend Y5 multi-step problems
Complex Multi-Step Problemsages 9–10Multi-step word problems exercise problem sense-making at age 9-10

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

AC9M5N07high 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

AC9M4N06high 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

AC9M5A02medium confidenceYear 5 · Algebra

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

NSW syllabus codes & stages only

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

Victorian Curriculum 2.0 codes & levels only

VC2M5N07high confidenceMathematics · Level 5 · Number strand
VC2M4N06medium confidenceMathematics · Level 4 · Number strand
VC2M5A02medium confidenceMathematics · Level 5 · 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 →