运用数学结构
Using Mathematical Structure
寻找并运用数学结构:利用位值模式进行×10/×100,运用分配律分解乘法,运用分数等价性进行比较和计算,运用图形性质对四边形进行分类
Look for and use mathematical structure: exploit place-value patterns for ×10/×100, use the distributive property to break apart multiplications, apply fraction equivalence to compare and compute, use shape properties to classify quadrilaterals
学习证据 / Evidence
- 运用分配律将7×13分解为7×10 + 7×3
- 利用位值结构解释为什么乘以10时数字会向左移动一位
- 利用正方形是一种特殊长方形这一事实,推理四边形的性质
- Decompose 7×13 into 7×10 + 7×3 using the distributive property
- Explain why multiplying by 10 shifts digits one place left using place-value structure
- Use the fact that a square is a special rectangle to reason about quadrilateral properties
评估问题 / Assessment
当{{name}}比较分数或计算百分比时,他们是否会寻找背后的模式——比如发现50%总是等于一半,或者等价分数在数轴上都位于同一个点?
When {{name}} is comparing fractions or working out a percentage, do they look for underlying patterns — like spotting that 50% is always half, or that equivalent fractions all sit at the same point on a number line?