A complete, ready-to-teach OCR A-level Maths (H240) lesson on tangents, normals and stationary points, for Pure Year 1. Students write equations of tangents and normals, find and classify stationary points with the second derivative, and solve optimisation problems. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.07m, 1.07n, 1.07o. Topics covered: • Find the equation of the tangent to a curve at a point • Find the equation of the normal to a curve at a point • Find stationary points and classify them as maxima or minima • Use stationary points to solve optimisation problems 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 (19 questions, 48 marks: AO1 24, AO2 12, AO3 12) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on vectors, for Pure Year 1. Students work with vectors in column and i, j form, find magnitudes, directions and unit vectors, use position vectors, and prove geometric results with parallel vectors. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.10c, 1.10d, 1.10e, f, 1.10g. Topics covered: • Add, subtract and multiply vectors, in column form and as xi + yj • Find the magnitude and direction of a vector, and unit vectors • Use position vectors: AB = b - a, distances and midpoints • Use parallel vectors to show points are collinear, and solve geometric problems 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, 45 marks: AO1 20, AO2 12, AO3 13) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on proof, for Pure Year 1. Students learn what makes a valid proof, prove results by deduction and by exhaustion, disprove statements with counter-examples, and use the implication symbols correctly. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.01a, 1.01c. Topics covered: • Understand the structure of a proof: assumptions, logical steps, conclusion • Prove statements by deduction, using algebra • Prove statements by exhaustion, checking every case • Disprove statements with a counter-example, and use ⇒, ⇐ and ⇔ 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 (21 questions, 47 marks: AO1 16, AO2 17, AO3 14) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on differentiation, for Pure Year 1. Students meet the derivative as the gradient of a tangent, prove results from first principles, differentiate powers term by term after rewriting roots and fractions, and use gradients at points. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.07a, 1.07b, 1.07d, 1.07g, 1.07i. Topics covered: • Understand the derivative as the gradient of the tangent, found from first principles • Differentiate axⁿ for any rational n, term by term • Rewrite roots, fractions and products as powers before differentiating • Find gradients at points, where the gradient takes a value, and where a function is increasing 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 (19 questions, 44 marks: AO1 21, AO2 11, AO3 12) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on integration, for Pure Year 1. Students reverse differentiation to integrate powers, find curves from gradient functions, evaluate definite integrals and find areas, including regions below the axis and between a curve and a line. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.08a, 1.08b, 1.08d, 1.08e. Topics covered: • Understand integration as the reverse of differentiation, including the constant • Integrate axⁿ for any rational n ≠ -1, simplifying first where needed • Find the equation of a curve from its gradient function and a point • Evaluate definite integrals and use them to find areas, including below the axis and between a curve and a line 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 26, AO2 11, AO3 12) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on exponentials and logarithms, for Pure Year 1. Students meet exponential graphs and eˣ, treat logs as the inverse of powers, use the log laws to solve equations, and apply exponential models and log graphs to real data. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.06a, 1.06c, 1.06f, 1.06g, 1.06h, 1.06i. Topics covered: • Sketch y = aˣ and y = eˣ, and know that d/dx(eᵏˣ) = keᵏˣ • Understand logarithms as inverses of exponentials, and use the laws of logarithms • Solve equations of the form aˣ = b, and equations involving logs, e and ln • Use exponential models, and logarithms to turn curves into straight lines 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 (21 questions, 47 marks: AO1 23, AO2 12, AO3 12) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on the binomial expansion, for Pure Year 1. Students build expansions from Pascal’s triangle and from factorials, expand (a + bx)ⁿ, find single terms and coefficients, solve for unknowns and use expansions to estimate. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.04a. Topics covered: • Use Pascal’s triangle to expand (a + b)ⁿ • Use factorials and nCr to find binomial coefficients • Expand (a + bx)ⁿ for a positive whole number n • Find a given term or coefficient, find unknowns, and estimate using an expansion 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 12, AO3 13) with a separate answer copy; printable exit tickets.

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

A complete, ready-to-teach OCR A-level Maths (H240) lesson on curve sketching and transformations, for Pure Year 1. Students sketch cubics, quartics and reciprocal graphs from their equations, use sketches to count solutions, and apply translations, stretches and reflections. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.02n, 1.02o, 1.02q, 1.02w. Topics covered: • Sketch cubic and quartic graphs from factorised form, including repeated roots • Sketch y = a/x and y = a/x², showing the asymptotes • Use sketches to find how many times two graphs meet • Transform graphs: y = f(x) + a, f(x + a), af(x), f(ax) and reflections 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 (21 questions, 46 marks: AO1 20, AO2 11, AO3 15) with a separate answer copy; printable exit tickets.

A complete, ready-to-teach OCR A-level Maths (H240) lesson on circles, for Pure Year 1. Students read and write circle equations, complete the square to find the centre and radius, and use the three circle properties to find tangents, chords and the circle through three points. Built for teachers and tutors who want fully modelled lessons without hours of preparation. Covers OCR specification 1.03d, 1.03e, 1.03f. Topics covered: • Use (x - a)² + (y - b)² = r² to find the centre and radius, and to write equations • Complete the square to find the centre and radius from expanded form • Use circle properties: tangent and radius, chords, and the angle in a semicircle • Find tangents, where lines meet circles, and the circle through three points 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 23, AO2 12, AO3 14) with a separate answer copy; printable exit tickets.

Both percentages revision mats in one download: the GCSE Foundation mat and the GCSE Higher mat, each with its own answer and mark scheme. Use them side by side with mixed-tier groups, or move students from Foundation to Higher as they grow in confidence. Print double-sided on A3, flipping on the short edge. Ideal for revision lessons, intervention, homework, cover and tutoring. What’s included: Foundation revision mat: 48 questions, 92 marks, with a separate answer and mark scheme Higher revision mat: 48 questions, 101 marks, with a separate answer and mark scheme Double-sided A3 landscape PDFs, split into AO1 (Fluency) and AO2 and AO3 (Reasoning and Problem Solving) Calculator allowed