Learning Map
MathematicsRatio & Proportionusually ages 11–13

Dividing Quantities by Ratio

Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

How to tell they’ve got it

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

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

If £60 is shared between two people in the ratio 2:3, can your child work out how much each person gets?

Where this sits on the map

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

Builds on
Bar Models for Ratiosages 9–12Dividing a quantity in a given ratio is the natural next step from the bar model representation
Understanding fractionsages 10–11Dividing quantities in a ratio extends KS2 unequal sharing problems
Proportional Reasoning Vocabularyages 11–14Dividing in a given ratio requires 'ratio', 'part-to-part', and 'part-to-whole' vocabulary
Ratio Notationages 11–12Dividing in a ratio requires understanding ratio notation and simplification first
Dividing Quantities by Ratiothis skill · ages 11–13
Unlocks
Proportionages 12–14Proportion problems require dividing quantities in given ratios

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

AC9M6N03medium confidenceYear 6 · Number

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

AC9M6N05medium confidenceYear 6 · Number

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

NSW syllabus codes & stages only

MA3-RQF-01medium confidenceMathematics K-10 · Stage 3
MA3-MR-01low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N07medium confidenceMathematics · Level 5 · Number strand
VC2M6N07medium confidenceMathematics · Level 6 · Number strand
VC2M5N03medium 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

Compound Unitsages 11–14 One Quantity as a Fractionages 11–12 Percentages as Fractionsages 11–13 Proportion Graphsages 11–14

All Ratio & Proportion skills →