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Mathematics·Mathematical Thinking·meta

Justifying mathematical reasoning

Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work

Suggested ages 7–8

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Learning journey

Your child is learning to think like a mathematician — solving multi-step problems, explaining their reasoning, recognising patterns in numbers, and choosing the best tools and strategies for different mathematical challenges.

Evidence of understanding

  • Explain step by step why a columnar addition method gives the correct answer
  • Find and explain an error in a worked example (e.g. incorrect regrouping)
  • Construct a simple argument for why a general statement is true (e.g. 'adding two even numbers always gives an even number')

Assessment prompt

If Justifying mathematical reasoning hears another child's explanation for how they solved a maths problem, can Justifying mathematical reasoning say whether the reasoning makes sense — and if not, point out exactly where the logic goes wrong?

Standards alignment

No external standards are linked to this topic.