理解分数(9岁以上)
Understanding fractions (age 9+)
构建并呈现包含多个步骤的逻辑数学论证;评价他人关于分数、角度或计算的推理,清楚解释其中的错误或提出其他方法
Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
学习证据 / Evidence
- 用公分母论证和直观模型证明 3/4 > 2/3
- 找出并解释一道长乘法算式中的错误,其中某个部分积没有对齐
- 通过剪拼角来呈现三角形内角和为180°的推理过程
- Prove that 3/4 > 2/3 using a common denominator argument and a visual model
- Find and explain an error in a long multiplication where a partial product was misaligned
- Present a chain of reasoning to show that angles in a triangle sum to 180° by tearing and arranging
评估问题 / Assessment
如果{{name}}和同学用不同方法解同一道数学题,{{name}}能否比较这两种方法,解释哪种更高效,并指出各自做法中的错误?
If {{name}} and a classmate solve the same maths problem differently, can {{name}} compare the two approaches, explain which method is more efficient, and identify any errors in either working?