Module 1 of 47Lesson 5 of 5 · Topic Revision — Course Map (all 78 subtopics)

Your 2-month study plan

Finish the whole course in 8 weeks. Study 5–6 days a week and do one subtopic per session: read “What you must know”, try every question on paper, then check the solutions.

  • SL students: finish all the SL items. You are done when the progress bar reaches 100%. About 1 hour a day.
  • HL students: finish every SL item and every HL item. About 2 hours a day, with two subtopics on most days.
  • Choose Standard or Higher at the top of the lesson menu. Your progress bar and course completion then count the right items for you.

SL plan: 39 subtopics + mock papers

WeekSubtopicsSessions
11.1 – 1.5 (standard form, sequences, compound interest, exponents and logs)5
21.6 – 1.8, 2.1 – 2.3 (bounds and error, annuities, equations, lines, functions, graphing)6
32.4 – 2.6, 3.1 – 3.3 (key features, models, 3D geometry, trigonometry, bearings)6
43.4 – 3.6, 4.1 – 4.3 (sectors, bisectors, Voronoi, sampling, data, averages and spread)6
54.4 – 4.9 (regression, probability, discrete, binomial, normal)6
64.10 – 4.11, 5.1 – 5.4 (Spearman, χ² and t-tests, derivatives, tangents)6
75.5 – 5.8 (integration, stationary points, optimisation, trapezoidal rule) + Mock Set 14 + mock
8Mock Sets 2 – 5 (one every other day; redo the subtopics where you lost marks) + The Final 48 Hours4 mocks

HL plan: all 78 subtopics (SL + HL) + mock papers

WeekSubtopicsCount
11.1 – 1.12 (number and algebra, up to complex numbers in Cartesian form)12
21.13 – 1.15, 2.1 – 2.10 (polar form, matrices, eigenvalues, all of functions)13
33.1 – 3.11 (geometry, trigonometry, Voronoi, radians, matrix transformations, vectors, lines)11
43.12 – 3.16, 4.1 – 4.6 (kinematics, vector products, graph theory, data, probability)11
54.7 – 4.19 (distributions, tests, confidence intervals, Poisson, Markov chains)13
65.1 – 5.10 (SL calculus, further differentiation, second derivative)10
75.11 – 5.18 (integration, volumes, kinematics, differential equations) + Mock Set 18 + mock
8Mock Sets 2 – 5 with the HL papers and Paper 3 + The Final 48 Hours4 mocks

Fell behind? Do not skip a week. Add one extra session on Saturday until you catch up. The course map below links straight to every subtopic.

IB Mathematics: Applications & Interpretation

Your one-stop revision course for SL and HL. Every subtopic gives you the short notes you must know, the exact TI-Nspire CX II steps, and at least 10 exam-style questions with full step-by-step solutions.

How to use this course

  1. Read the “What you must know” box — it is short on purpose.
  2. Try each question on paper before opening the solution.
  3. Follow the GDC screens on your own TI-Nspire CX II, key by key.
  4. SL students skip anything marked HL only. HL students do everything.

Topic 1 · Number and Algebra

Topic 2 · Functions

Topic 3 · Geometry and Trigonometry

Topic 4 · Statistics and Probability

Topic 5 · Calculus

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