Every IB Diploma student has to pick a Mathematics course. Since the 2019 syllabus overhaul, that choice comes down to two options, Analysis and Approaches (AA) or Applications and Interpretation (AI). The two share a name, but they differ in focus, content and how they're assessed.
Picking the wrong one can mean months of playing catch-up, or worse, closing off a university course you had your eye on. This guide breaks down how AA and AI compare, so you can choose the course that fits your strengths and your future plans. For an official overview of how Mathematics fits into the wider Diploma Programme, see the IB's own curriculum page.
Course Focus: Theoretical vs Practical Approaches
Math AA is built around abstract mathematical theory. It trains students to construct proofs, manipulate algebraic expressions, and understand why a technique works, not just how to apply it.
Math AI takes a more applied, real-world route. It uses mathematics as a tool to model situations, often with technology, and focuses on interpreting results rather than deriving them from first principles.
In short, AA suits students who enjoy working through logical steps with pen and paper. AI suits those who prefer seeing maths explain real data and situations.
Content Differences: Topics and Calculator Use
Both courses share a common core, including functions, trigonometry, and an introduction to calculus and statistics. Beyond that core, each course develops its own emphasis.
AA places greater weight on algebraic proof, sequences and series, and pure calculus techniques, with topics such as the binomial theorem and De Moivre's theorem appearing at Higher Level. AI instead builds out statistics, probability distributions, and modelling, with topics such as trigonometric and exponential modelling and technology-based approaches to calculus.
Aspect | Math AA | Math AI |
|---|---|---|
Core focus | Pure, theoretical mathematics | Applied, real-world mathematics |
Calculator use | Paper 1 is calculator-free; Paper 2 (and Paper 3 at HL) allows a GDC | A graphic display calculator (GDC) is permitted across all papers |
Emphasis | Algebraic proof, calculus, sequences and series | Statistics, probability distributions, modelling |
The calculator rule is one of the clearest practical differences between the two. AA students need to work through algebra and calculus by hand for at least one paper, while AI students can rely on a GDC throughout.
Difficulty and Workload: SL vs HL
Both AA and AI are offered at Standard Level (SL) and Higher Level (HL). SL courses cover 150 teaching hours, HL courses cover 240, and HL students sit an extra third paper on top of the two taken at SL.
Within the same level, AA HL is generally seen as more demanding than AI HL, thanks to its heavier proof-based and algebraic content. AI's statistics and modelling questions, though, can be just as challenging for students less comfortable working with data and technology.
Neither course is easier overall. It really comes down to which type of mathematical thinking feels more natural to you.
University Pathways: Which Course Suits Which Degree
Universities generally view Math AA HL as the preferred, sometimes required, background for degrees like engineering, physics, mathematics and computer science. Many science and engineering faculties expect this theoretical grounding, since their first-year modules build directly on it.
Math AI, particularly at SL, tends to suit degrees in business, economics, social sciences, psychology and design, where practical statistics matter more than pure theory. AI HL can also support quantitative social science or data-related courses that value statistical fluency.
Entry requirements vary by institution and can change year to year, so always check with your target universities directly before committing to a course.
How to Decide: Questions to Ask Yourself
Before choosing, it helps to ask a few honest questions rather than picking based on which course sounds easier.
Do you enjoy proving why something works, or do you prefer seeing maths applied to real situations?
What degree are you aiming for, and does it specify a preferred course or level?
Are you comfortable working through algebra without a calculator for an entire paper?
How did you perform in statistics and modelling versus algebra and calculus in earlier years?
Speaking with your subject teachers and reviewing past performance in these topics can help clarify which course plays to your strengths.
Whether you're taking AA or AI, at SL or HL, eipimath's IB Math tuition offers one-to-one and small group lessons tailored to each course's demands. Lessons draw on curated materials, past paper practice and full worked solutions, so students build both technique and exam confidence.
Our IB Maths students have gone on to improve by at least three grades, supported by revision materials and WhatsApp or Telegram guidance beyond lesson hours. If you'd like to discuss which course suits your child, reach out to us.
Frequently Asked Questions
Math AA focuses on theoretical mathematics, with an emphasis on proofs, algebra and pure calculus. Math AI takes a more applied approach, using mathematics as a tool to model and interpret real-world situations.
In AI, a graphic display calculator (GDC) is permitted across all papers. In AA, Paper 1 is calculator-free, while Paper 2, and Paper 3 at HL, allows a GDC.
Neither course is easier overall, since the difficulty depends on the type of mathematical thinking a student finds more natural. AA HL is generally seen as more demanding due to its proof-based content, but AI's statistics and modelling questions can be just as challenging for some students.
Math AA HL is generally the preferred or required background for degrees such as engineering, physics and computer science. Math AI, especially at SL, tends to suit degrees like business, economics and social sciences, though entry requirements vary by university.