Mathematical exploration (12–20 pages) on a topic of student's choice. Worth 20%.
Practise breaking unfamiliar problems into smaller steps and identifying the mathematical concepts involved. Review incorrect solutions to understand where your reasoning failed rather than memorising the correct method.
Build a strong understanding of differentiation, integration and their applications before moving to complex questions. Practise interpreting derivatives and integrals graphically as well as solving them algebraically.
Practise interpreting function notation, domains, ranges, transformations and graphs. Focus on understanding how changes to an expression affect the function's behaviour.
Start with the information given and identify the result you need to establish. Present each logical step clearly, justify important statements and avoid assuming the conclusion you are trying to prove.
Write calculations clearly, check signs and algebraic steps, and verify that your final answer addresses the question. Regular timed practice can help you identify the types of errors you make under pressure.
Identify the underlying concepts and consider whether a graph, equation, substitution or known relationship could help. Practise explaining your approach so that you can adapt your reasoning when a problem differs from familiar examples.
Learn the relevant probability rules, distributions and statistical methods required by your course. Practise interpreting results and choosing an appropriate method for each problem.
Learn the calculator functions permitted and relevant to your examination, and practise using them for appropriate calculations, graphs and numerical checks. Make sure you understand the mathematics behind the result rather than relying on the calculator alone.
Practise extended problems that require several connected mathematical steps and clear reasoning. Focus on identifying useful relationships, interpreting the context and explaining why your chosen method works.
Complete timed practice papers and review your performance by topic, question type and accuracy. Readiness improves when you can solve a range of questions independently and explain the methods you use.
One real 1-on-1 lesson with your assigned IB Examiner. No sales call.