Square and cube numbers
Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations
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
Can your child work out that √25 = 5 and ∛27 = 3 — knowing these are the inverse of squaring and cubing — and say whether √50 is closer to 7 or 8?
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
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
identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations
use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made
multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers
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.