Mathematics
Number Representation & Place Value
Procedural
11–14 yrs
Square and cube numbers
平方数与立方数
Description
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
Mastery Evidence
- 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
Assessment Prompt
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?
Prerequisites 1
Ratio (age 11+)
幂和根运算需要理解运算顺序符号
