整体的分数(10岁及以上)
Fractions of a whole (age 10+)
将分数理解为分子除以分母(a/b = a ÷ b);解决整数相除后得到分数或带分数的应用题。
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers
学习证据 / Evidence
- 解释3/4表示3 ÷ 4,并通过3/4 × 4 = 3来验证。
- 解决问题:“9个人平均分一袋50磅的东西,每人得到多少磅?”并把答案表示为5 5/9。
- 用直观模型展示:把3个整体平均分给4个人,每个人得到3/4。
- Explain that 3/4 means 3 ÷ 4 and verify by showing 3/4 × 4 = 3
- Solve: '9 people share a 50-pound sack equally — how many pounds each?' and express the answer as 5 5/9
- Use a visual model to show that sharing 3 wholes among 4 people gives each person 3/4
评估问题 / Assessment
如果{{name}}把3个披萨平均分给4个朋友,他们能算出每个人得到几分之几吗?并解释为什么3 ÷ 4和3/4的结果相同?
If {{name}} shares 3 pizzas equally among 4 friends, can they work out what fraction each person gets — and explain why 3 ÷ 4 gives the same answer as 3/4?