OCR A-level Maths: Algebraic Division and the Factor Theorem (Pure Year 1) – Complete Lesson Pack

A complete, ready-to-teach OCR A-level Maths (H240) lesson on algebraic division and the factor theorem, for Pure Year 1. Students expand triple brackets, divide polynomials by linear factors, use the factor theorem to factorise and solve cubics, find unknown coefficients and simplify algebraic fractions. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.02j, 1.02k.
Topics covered:
• Expand a product of three brackets to give a cubic
• Divide a polynomial by (x ± p) using long division
• Use the factor theorem to find factors and fully factorise a cubic
• Solve cubic equations, find unknown coefficients and simplify algebraic fractions
What’s included: annotated PowerPoint with click-by-click I do / We do modelling and speaker notes (plus a PDF); Bronze, Silver and Gold exam-style worksheet with full worked answers; two A5 student help cards; a two-page teacher guide with OCR spec links, timings and misconceptions; double-sided homework (20 questions, 49 marks: AO1 24, AO2 11, AO3 14) with a separate answer copy; printable exit tickets.
Tags: OCR, A-level maths, H240, algebraic division and the factor theorem, pure maths, lesson, worksheet, homework, Year 12