平方数和立方数

运用整数次幂及相应的实数根（平方根、立方根和更高次根）；认识2、3、4、5的幂；区分根式的精确表示与其小数近似值

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

学习证据 / Evidence

• 计算整数的平方、立方及更高次整数幂
• 求完全平方数的平方根和完全立方数的立方根
• 识别关键幂（2的幂到2¹⁰，3的幂到3⁵等），并区分精确根与近似值

• 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

评估问题 / Assessment

{{name}}能否算出√25=5和∛27=3，知道它们是平方和立方的逆运算，并说出√50更接近7还是8？

Can {{name}} 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?