Working with Counterexamples

• Explain working with counterexamples 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 working with counterexamples independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind working with counterexamples using correct vocabulary.

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

  Assessment — Extended written response, levelled

• Calculate working with counterexamples 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 working with counterexamples independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Compare working with counterexamples 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 working with counterexamples independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind working with counterexamples using correct vocabulary.

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

  Assessment — Extended written response, levelled

• Justify working with counterexamples accurately in a familiar context.

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

  Assessment — Exit ticket of four short items

• Justify working with counterexamples independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Introducing CounterexamplesChapter
• MatricesDomain

• Introducing Counterexamples
• Counterexamples in Context
• Proof by Exhaustion

Learners apply the correct method to working with counterexamples but ignore the context or units.

Correction — Require an answer sentence with units on every applied question.

Confident students rush working with counterexamples and skip the checking step.

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