
A comprehensive linear programming teaching and revision package designed for AQA A2 Further Maths Discrete. The unit develops the mathematical reasoning behind constrained optimisation, moving from models and feasible regions to precise graphical solutions, integer decisions and the Simplex algorithm.
Students learn how to formulate practical optimisation problems, interpret objective functions and resource limits, apply the ratio test, carry out Simplex pivots and evaluate the meaning of a final tableau. Worked methods are accompanied by progressively harder practice, challenging extension tasks and a timed mini assessment.
The complete teaching offer includes classroom presentation slides as a central teaching resource, alongside the printable notes and carefully coordinated teacher materials. Together, the slide deck, lesson plans, worked solutions and assessments support whole-class instruction, independent study and confident revision.
What’s IncludedThis bundle includes:
- Student Notes — accessible explanations of modelling, graphical optimisation, integrality, slack variables and Simplex tableau methods, with concise checks for understanding.
- Worked Examples — seven fully explained examples including integer optimisation, two-variable and three-variable tableaux, minimum-cost decisions and alternative optima.
- Practice Questions — twelve progressive questions covering linear constraints, vertices, feasibility, Simplex pivoting and contextual interpretation.
- Challenge Questions — five substantial extension problems on parameter ranges, integer sensitivity, resource values and rigorous optimality arguments.
- Mini Assessment — a 45-minute, 36-mark independent assessment spanning the complete chapter progression.
- Mark Scheme — detailed solutions with method, accuracy and independent-statement marking guidance for every assessed question.
- Lesson Plan — structured activities for four 60-minute lessons with starter tasks, checks, differentiation and assessment follow-up.
- Teaching Notes — mathematical teaching guidance, misconception interventions, targeted questioning, quick-check answers and mini-whiteboard prompts.
- Presentation Slides — a premium classroom-ready teaching deck for whole-class explanations, visual feasible-region models, fully guided Simplex worked examples, student-active practice and misconception checks.
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