Curriculum Hub → Maths Lessons → Algebra → Proof
This page brings together ready-to-teach proof maths lessons for GCSE / IGCSE Higher and A-Level. Browse the full collection, including algebraic and geometrical proof, vector proofs, deduction and exhaustion, proof by contradiction, and proof by induction for series, divisibility and matrices, with each lesson designed to support clear modelling, independent practice and exam preparation.
Save planning time with complete proof lesson packs ready to use straight away. Mr Mathematics membership unlocks downloadable PowerPoint presentations, printable worksheets, structured practice and exam-style questions for this topic and the wider lesson library.
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Use the sections below to jump straight to GCSE / IGCSE or A-Level proof lessons.
Each resource is designed to reduce planning time and support student progression.
Jump to: GCSE / IGCSE Proof | A-Level Proof
These GCSE / IGCSE Higher lessons develop structured reasoning in algebra and geometry, including vector arguments for properties of plane figures. Topics include:
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Give multiple teachers access to the same ready-to-teach resources, support consistent lesson sequencing across classes and reduce duplicated planning across the department. School membership is ideal for teams who want shared access to lessons, worksheets and practice across KS3, GCSE, IGCSE and A-Level.
These A-Level and Further Mathematics lessons formalise proof techniques across Pure and Core Pure, moving from basic methods to induction arguments in algebra and linear algebra. Topics include:
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Get instant access to the full Mr Mathematics library and download complete lesson packs for proof, number skills, algebra, geometry, statistics and more.
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.
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