Splitting shapes into equal parts (age 7+)
Your child can split a shape into equal parts in more than one way. They know two pieces can be equal in size even if they look different.
In curriculum terms
Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape
Ages are typical, not deadlines — follow your child’s pace. How to help at home →
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 you cut a rectangle into thirds in two different ways (three strips vs three squares), can your child recognise that both give equal thirds — even though the pieces look different?
Where this sits on the map
Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.
solid = must come firstdashed = helps
Curriculum alignment
Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.
Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC
Australian Curriculum v9 candidate
recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving
identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events
recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”
NSW syllabus codes & stages only
Victorian Curriculum 2.0 codes & levels only
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.