Mathematics
Mathematical Thinking
Meta
10–11 yrs
Order of operations (age 10+)
运算顺序（10岁以上）
Description
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
Mastery Evidence
- 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
Assessment Prompt
When your child 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?
