Counterexamples in Context

• Identify counterexamples in context accurately in a familiar context.

  Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

  Assessment — Exit ticket of four short items

• Identify counterexamples in context independently in an unfamiliar context.

  Activities — Independent worksheet · Card sort · Concept-check quiz

  Assessment — Marked worksheet with a marking scheme

• Explain counterexamples in context accurately in a familiar context.

  Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

  Assessment — Exit ticket of four short items

• Explain counterexamples in context independently in an unfamiliar context.

  Activities — Independent worksheet · Card sort · Concept-check quiz

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind counterexamples in context using correct vocabulary.

  Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

  Assessment — Extended written response, levelled

• Calculate counterexamples in context accurately in a familiar context.

  Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

  Assessment — Exit ticket of four short items

• Calculate counterexamples in context independently in an unfamiliar context.

  Activities — Independent worksheet · Card sort · Concept-check quiz

  Assessment — Marked worksheet with a marking scheme

• Compare counterexamples in context accurately in a familiar context.

  Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

  Assessment — Exit ticket of four short items

• Compare counterexamples in context independently in an unfamiliar context.

  Activities — Independent worksheet · Card sort · Concept-check quiz

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind counterexamples in context using correct vocabulary.

  Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

  Assessment — Extended written response, levelled

• Working with CounterexamplesChapter
• Introducing CounterexamplesChapter
• MatricesDomain

• Introducing Counterexamples
• Working with Counterexamples
• Algebraic Proof

Confident students rush counterexamples in context and skip the checking step.

Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.

Learners over-generalise a special case of counterexamples in context to every situation.

Correction — Present a deliberate non-example and ask why the rule fails.