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MathematicsMathematical ThinkingAges 10–11

Constructing mathematical arguments

Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio, or geometry and clearly explain errors or alternative approaches

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Check understanding

  • Prove that a given angle must be 60° by chaining angle facts in a logical sequence
  • Find and explain the error in a peer's fraction division calculation
  • Construct a counter-example to disprove a false conjecture (e.g. 'multiplying always makes bigger')
“When your child presents a multi-step maths solution, do they lay out their reasoning clearly enough that someone else could follow every step — and can they spot the flaw if a worked solution contains a logical error?”

Curriculum record

Type
Meta
Subject
Mathematics
Domain
Mathematical Thinking
Age range
Ages 10–11