除以分数
Dividing by Fractions
理解并计算整数除以单位分数(如 4 ÷ 1/5 = 20);使用直观模型以及乘除法之间的关系,解释为什么商比被除数大。
Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend
学习证据 / Evidence
- 计算 4 ÷(1/5)= 20,并解释:“4个整体里有多少个五分之一?”
- 为 6 ÷(1/4)编一个故事情境,并解决它。
- 通过展示 20 ×(1/5)= 4,来验证 4 ÷(1/5)= 20。
- Compute 4 ÷ (1/5) = 20 and explain: 'How many fifths fit in 4 wholes?'
- Create a story context for 6 ÷ (1/4) and solve it
- Verify 4 ÷ (1/5) = 20 by showing 20 × (1/5) = 4
评估问题 / Assessment
如果你有4米丝带,每个蝴蝶结需要1/5米,{{name}}能算出可以做多少个蝴蝶结吗?并解释为什么答案比4大?
If you have 4 metres of ribbon and each bow needs 1/5 of a metre, can {{name}} work out how many bows you can make — and explain why the answer is bigger than 4?