Mathematics Mathematical Thinking Meta 10–11 yrs

Advanced Multi-Step Problems

高级多步骤问题

Description

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

Mastery Evidence
  • 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
Assessment Prompt

When your child 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?