Teach the commutative laws through a complete, print-free Year 7 maths lesson designed for direct classroom delivery.

This editable PowerPoint develops secure understanding that addition and multiplication are commutative, while subtraction and division are generally not. Pupils learn to reorder terms and factors to create friendly totals and products, distinguish changing order from changing grouping, and use counterexamples to test mathematical claims.

The lesson includes:
• six-question retrieval starter with answers;
• explicit, pupil-friendly vocabulary;
• clear representations of all four operations;
• three structurally matched I Do–We Do pairs;
• 12 one-question mini-whiteboard checks with immediate answers;
• 24 controlled-variation questions arranged down columns;
• Developing, Secure and Greater Depth practice on one slide;
• a sustained Super Challenge with a complete proof;
• misconception analysis, problem solving and contextual application;
• exam-style questions with mark guidance;
• exit questions and answers.

Questions progress from fluency to reverse reasoning, error analysis, counterexamples, generalisation and proof. Greater Depth is built from the lesson mathematics rather than larger numbers or unrelated puzzles. Every pupil-facing question has a corresponding checked answer, and the compact whole-class layouts are designed to remain readable when projected.

Ideal for KS3 maths departments, non-specialists, cover lessons, revision and home learning. No printing or additional resources are required.