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A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Justifying mathematical reasoning

Mathematics · Mathematical Thinking · meta

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

What mastery looks like

  • 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')

Check your understanding

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?