Index Laws

• Identify index laws 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 index laws independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Explain index laws 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 index laws independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind index laws using correct vocabulary.

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

  Assessment — Extended written response, levelled

• Calculate index laws 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 index laws independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Compare index laws 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 index laws independently in an unfamiliar context.

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

  Assessment — Marked worksheet with a marking scheme

• Explain the reasoning behind index laws using correct vocabulary.

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

  Assessment — Extended written response, levelled

• Square RootsUnit
• CubesUnit
• Factors and MultiplesStrand

• Squares
• Cubes
• Square Roots
• Standard Index Form
• Factors and Multiples

Students treat index laws as a rule to memorise rather than a relationship to understand.

Correction — Anchor the rule in a visual model first, then abstract it — the model is the explanation.

Learners apply the correct method to index laws but ignore the context or units.

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