Decomposing a shape into more equal shares

Understand that decomposing a shape into more equal shares creates smaller shares

How to tell they’ve got it

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

Explain that a quarter of a pizza is smaller than a half of the same pizza
Demonstrate that fourths are smaller pieces than halves
Compare the size of halves and quarters of the same shape

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Try this together

If a pizza is shared between 2 people and then the same pizza is shared between 8 people, can your child explain why each slice is smaller when more people share it?

Where this sits on the map

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

Builds on

Halves & Quarters of Shapesages 6–7Comparing share sizes requires experience partitioning into halves and quarters

Decomposing a shape into more equal sharesthis skill · ages 6–7

Unlocks

Splitting shapes into equal parts (age 7+)ages 7–8Understanding equal shares of different shapes requires concept of more shares = smaller

Comparing fractionsages 7–8More shares = smaller helps understand why 1/5 < 1/3

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 1 ACARA · 2 NSW · 2 VIC

Australian Curriculum v9 candidate

AC9M2N03low confidenceYear 2 · Number

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving

NSW syllabus codes & stages only

MA1-FG-01low confidenceMathematics K-10 · Stage 1

MA1-GM-03low confidenceMathematics K-10 · Stage 1

Victorian Curriculum 2.0 codes & levels only

VC2M2N03low confidenceMathematics · Level 2 · Number strand

VC2M2M02low confidenceMathematics · Level 2 · Measurement 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

Fraction Notationages 6–9 Fractions of amountsages 6–7 Halves & Quarters of Shapesages 6–7 Understanding fractionsages 6–7

All Fractions skills →