Every subtopic of DP Mathematics: Applications and Interpretation, ready to teach.

Unit 1 spans 11 topics and 33 lessons, building from estimation, standard form, and arithmetic operations through sequences and series, exponents and logarithms, direct and inverse variation, correlation and regression, and on to financial mathematics, linear programming, and Markov chains. Key concepts of representation, modelling, and relationships organise the progression from foundational number skills to applied and HL content.

Skills & assessment. Students develop fluency with algebraic manipulation, GDC-based financial solvers, and regression tools, while building the interpretive skills required to justify model choice and contextualise results. Lessons targeting AO1–AO4 include exam-style questions and mark schemes, with GDC methods integrated throughout to reflect Paper 2 expectations.

Unit 2 addresses 4 topics across 12 lessons, moving from solving systems of linear equations through quadratic functions, sinusoidal models, and more complex function types including piecewise linear and rational functions. The key concepts of modelling and representation run throughout, with consistent attention to matching function type to real-world context.

Skills & assessment. Students practise graphing, solving, and interpreting functions using both algebraic methods and GDC tools, developing the skills needed to construct and evaluate models in applied settings. Exam-style tasks and mark schemes support preparation for Paper 2 contexts in which function choice and interpretation are assessed.

Unit 3 is the largest unit, spanning 10 topics and 30 lessons. It progresses from the sine and cosine rules, triangle area, and radian measure through surface area and volume of 3D solids, bearings, coordinate geometry in 2D, vectors in two and three dimensions, and graph theory including Dijkstra's algorithm and minimum spanning trees. The key concepts of space, representation, and relationships structure the unit's development.

Skills & assessment. Students build the geometric reasoning and vector fluency required across both SL and HL, with problem-solving tasks that combine multiple techniques — such as selecting between sine and cosine rules, or interpreting adjacency matrices. Mark schemes and exam-style questions are aligned to AO1–AO4 and reflect the applied, multi-step character of Paper 2 geometry questions.

Skills & assessment.

Unit 4 addresses 2 topics across 6 lessons, covering data types and frequency tables, statistical diagrams including histograms, box plots, and cumulative frequency graphs, and a dedicated focus on absolute and percentage error, error propagation, and the impact of measurement uncertainty on model conclusions. The key concept of approximation is central throughout.

Skills & assessment. Students develop the ability to represent and interpret data accurately and to reason critically about the reliability of measurements and models — skills assessed explicitly in the IA and in applied Paper 2 contexts. Each lesson includes a mark scheme to support precise, AO-aligned feedback.

Skills & assessment.