IB Maths AI SL 5.7 Optimisation in Context worksheet for applying differentiation to real-world maximum and minimum problems. Students practise building objective functions, finding critical points and interpreting calculus solutions in context.

The structured questions guide learners through defining variables, modelling a situation, differentiating, testing critical points and endpoints, and presenting answers with appropriate units. Contexts include maximising the volume of an open-top box, maximising business profit and minimising fencing cost for a fixed area.

Use this worksheet for IB Mathematics: Applications and Interpretation SL lessons, class practice, homework or revision of calculus applications and optimisation. It develops mathematical modelling and exam-style communication skills.

Pair the worksheet with the IB Maths AI SL 5.7 Optimisation in Context slides and the IB Maths AI SL 5.7 Optimisation in Context notes.