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
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Teaching Table
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“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?”
Full guide and materials
- Activity. 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
What to notice. 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
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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?
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
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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