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Mathematics·Mathematical Thinking·meta

Complex Multi-Step Problems

Make sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning multi-step strategies, and evaluating reasonableness through estimation and inverse operations

Suggested ages 9–10

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Learning journey

Your child is developing advanced problem-solving skills, learning to choose the best mathematical tools and methods for complex problems, and communicating their mathematical reasoning clearly.

Evidence of understanding

  • Break a three-step problem involving unit conversion and multiplication into sub-problems and solve systematically
  • Estimate 4,832 × 7 as roughly 5,000 × 7 = 35,000 to check a calculated answer of 33,824
  • Identify that a percentage answer over 100% doesn't make sense in context

Assessment prompt

When Complex Multi-Step Problems faces a complex multi-step maths problem involving percentages, large numbers, or fractions, do they pause to identify what's known, estimate an answer, and then check their final result makes sense?

Standards alignment

No external standards are linked to this topic.