运算顺序（10岁以上）

寻找并运用数学结构：利用二维图形的层级关系推导性质；运用运算顺序和代数结构来化简表达式；联系分数、小数和百分数之间的等价关系；利用比例结构高效解决比例问题。

Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify expressions; connect fraction–decimal–percentage equivalences; use ratio structure to solve proportion problems efficiently

学习证据 / Evidence

• 利用所有矩形都是平行四边形这一性质，推导出缺失的角度关系。
• 通过运用乘法分配律结构，认识到 3 × (n + 5) = 3n + 15。
• 灵活运用 1/8 = 0.125 = 12.5% 的等价关系来解决比较问题。

• Use the property that all rectangles are parallelograms to deduce missing angle facts
• Recognise that 3 × (n + 5) = 3n + 15 by applying distributive structure
• Use the equivalence 1/8 = 0.125 = 12.5% flexibly to solve a comparison problem

评估问题 / Assessment

当{{name}}化简代数表达式或比较比例时，他们是否会寻找其中的结构——例如运用运算顺序，或发现两个比例是等价的——来让计算更高效？

When {{name}} is simplifying an algebraic expression or comparing ratios, do they look for the underlying structure — like using the order of operations or spotting that two ratios are equivalent — to make the calculation more efficient?