图形规律
Shape patterns
寻找并运用数学结构:利用运算性质、数位规律以及图形之间的关系来高效地解决问题。
Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently
学习证据 / Evidence
- 有意识地运用交换律(例如把3 + 9调换成9 + 3,从较大的数开始接着数)
- 利用数位结构加或减整十数(例如47 + 10 = 57,因为只有十位数字变了)
- 识别图形之间结构上的相似之处(例如长方形和正方形都有4条边和4个直角)
- Use the commutative property deliberately (e.g. reorder 3 + 9 as 9 + 3 to count on from the larger number)
- Use place-value structure to add or subtract tens (e.g. 47 + 10 = 57 because only the tens digit changes)
- Recognise structural similarities between shapes (e.g. rectangles and squares both have 4 sides and 4 right angles)
评估问题 / Assessment
当{{name}}在数学练习中发现规律(如乘以10总会在末尾加一个0)时,是否会用这个规律更快地解决类似问题?
When {{name}} notices a pattern in their maths work — like how multiplying by 10 always adds a zero — do they use that pattern to solve similar problems more quickly?