分数比较(8岁以上)
Comparing fractions (age 8+)
通过推理比较同分子或同分母的两个分数的大小,并用 >、= 或 < 记录比较结果。
Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
学习证据 / Evidence
- 比较 3/8 和 3/4:分子相同,分母越大表示每一份越小,所以 3/8 < 3/4。
- 比较 5/6 和 2/6:分母相同,所以 5/6 > 2/6。
- 用直观模型证明比较结果,并解释为什么两个分数必须指同一个整体。
- Compare 3/8 and 3/4: same numerator, larger denominator means smaller pieces so 3/8 < 3/4
- Compare 5/6 and 2/6: same denominator so 5/6 > 2/6
- Justify a comparison using a visual model and explain why both fractions must refer to the same whole
评估问题 / Assessment
如果{{name}}看到 3/5 和 3/8,他们能仅凭思考每一份的大小来告诉你哪个更大,而不用画图吗?
If {{name}} sees 3/5 and 3/8, can they tell you which is bigger just by thinking about the size of each piece — without needing to draw it out?