MathematicsNumber Representation & Place ValueAges 11–14
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
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
Explore the learning path
1 before · 2 after
Loading map…
This concept
Square and cube numbersProcedural concept
Check understanding
- Calculate squares, cubes, and higher integer powers of whole numbers
- Find square roots and cube roots of perfect squares and perfect cubes
- Recognise key powers (powers of 2 up to 2¹⁰, powers of 3 up to 3⁵, etc.) and distinguish exact roots from approximations
“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?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 11–14
Standards
ccss-math:8.EE.2uk-nc-2013:KS3.Maths.Num.7