等价推理
Reasoning with Equivalences
识别并运用重复推理进行概括：扩展等价分数和百分数转换中的规律，从已知事实推导未知事实，描述数列的一般规律并预测后续项。
Recognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts, describe general rules for sequences and predict terms
学习证据 / Evidence
- 注意到任何数乘以25，可以先乘以100再除以4，并能解释其中的原因。
- 描述一个数列的一般规律，并预测第20项。
- 推广：求10%就除以10，求5%就把10%的结果减半，并用这个方法求任意数的35%。
- Notice that multiplying any number by 25 can be done by multiplying by 100 then dividing by 4, and explain why
- Describe the general rule for a sequence and predict the 20th term
- Generalise: to find 10% divide by 10, to find 5% halve 10%, and use this to find 35% of any number
评估问题 / Assessment
当{{name}}看到一串等价分数——例如1/2、2/4、3/6……——他们能否描述规律，并用它找出接下来的几项，或者快速进行分数与百分数之间的转换？
When {{name}} sees a sequence of equivalent fractions — like 1/2, 2/4, 3/6… — can they describe the rule and use it to find the next few terms, or to quickly convert between fractions and percentages?