进阶多步问题

理解涉及比、比例、代数、负数以及分数和小数四则运算的复杂多步问题，能够分析已知量和未知量，规划解题策略，并通过估算和逆运算判断答案的合理性。

Make sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by analysing given and unknown quantities, planning solution strategies, and evaluating reasonableness using estimation and inverse operations

学习证据 / Evidence

• 把一个涉及比的三步问题拆解成若干子问题，并规划解题路径。
• 识别代数应用题中的已知量和未知量，并列出方程。
• 在确定最终答案前，用估算检查小数除法的答案是否合理。

• Break down a three-step ratio problem into sub-problems and plan a solution pathway
• Identify which quantities are known/unknown in an algebraic word problem and set up equations
• Use estimation to check whether a decimal division answer is reasonable before finalising

评估问题 / Assessment

当{{name}}遇到涉及代数、比或分数的复杂多步数学问题时，是否能够把它拆成可处理的小部分，先估算合理结果，再用另一种方法验证答案？

When {{name}} faces a complex maths problem involving algebra, ratio, or fractions with multiple steps, do they break it into manageable parts, estimate what's reasonable, and verify their answer using a different approach?