Start with where you want the IB to take you. Your choice of Mathematics course and level can affect which university courses you are eligible to apply for, so it helps to work backwards from the degrees you may want to pursue.
IB Mathematics: Analysis and Approaches (AA) and Mathematics: Applications and Interpretation (AI) are both demanding courses. The right choice should keep your intended university pathways open while matching your mathematical strengths, current preparation and overall IB workload. If you are still deciding on a degree, compare the requirements for a few possible routes before choosing.
The International Baccalaureate offers AA and AI at both Standard Level (SL) and Higher Level (HL). Every Diploma Programme student takes one Mathematics course. All four options develop mathematical knowledge, logical thinking and the use of technology, but they place different emphasis on these skills (IB Mathematics curriculum).
AA and AI at a glance
AA places more emphasis on algebraic reasoning, mathematical structure and explaining how a method works. It often suits students who enjoy manipulating expressions, studying functions and working through abstract problems.
AI places more emphasis on modelling, statistics, interpretation and using technology to investigate problems in context. It often suits students who enjoy working with data and explaining what a mathematical result means in a real situation.
AA includes applications, while AI requires algebra, reasoning and clear mathematical communication. Labels such as “pure” and “practical” leave out too much of what students do in each course.
What you will spend more time doing in AA
AA students regularly work with algebraic techniques, functions, calculus and mathematical arguments. A typical question may ask you to identify a relationship, choose a method and show a logical chain of working.
You may be comfortable with AA if you:
- enjoy algebra and symbolic manipulation;
- want to understand why a method works;
- can stay with a multi-step problem when the starting point is not obvious; and
- are prepared to strengthen gaps in algebra before they affect later topics.
The level also matters. AA HL moves at greater depth and pace than AA SL, so enjoying algebra is only one part of the decision. Your current foundations, other HL subjects and overall workload should also be considered.
Students reviewing AA topics can use Axiom’s IB Mathematics AA summary sheet to see the kind of notation and concepts they may encounter. Use it as a revision aid alongside the current IB syllabus and advice from your teacher.
What you will spend more time doing in AI
AI students regularly interpret data, build and assess models, and use technology to explore mathematical questions. A typical task may ask you to select an appropriate method, use a digital tool accurately and explain whether the result is reasonable in context.
You may be comfortable with AI if you:
- enjoy statistics, modelling and data-based questions;
- like connecting mathematics to real situations;
- are willing to learn calculator and software workflows thoroughly; and
- can explain the assumptions and limitations behind an answer.
Students still need mathematical judgment when using technology. You must choose a suitable method, enter information correctly and interpret the output.
The IB’s current AI course information emphasises modelling, statistical thinking, inquiry and technology in context. The organisation describes the 2027 curriculum change as a refinement, with first assessment in 2029. Students should therefore confirm which syllabus applies to their cohort (IB AI curriculum update).
Choosing between HL and SL
Choosing AA or AI is only the first decision. You must also decide whether HL or SL is appropriate.
HL requires more content, depth and sustained problem-solving. It is required for some quantitative university programmes: examples include Engineering Science at Oxford, Computing at Imperial College London and Economics at LSE. Check the accepted Mathematics course as well as the level; AA HL and AI HL are not interchangeable for every degree.
Taking HL without the necessary foundation can place pressure on your other IB subjects. SL may be the more sensible choice when a future university course does not require HL Mathematics and it better matches your current preparation. For example, Oxford’s Law course has no required school subject for its standard three-year route. Mathematics at SL can therefore fit that pathway, provided you meet the other admissions requirements.
Before deciding, compare:
- your recent performance by topic, rather than relying only on an overall grade;
- the time you currently need to complete unfamiliar problems;
- your confidence with algebra, functions, statistics and technology;
- the workload from your other HL and SL subjects; and
- the Mathematics requirements for courses you may apply to after the IB.
Check university requirements before choosing
University requirements should be checked early, particularly if you are considering mathematics, engineering, computer science, economics or another quantitative course.
Use the official admissions page for each university and the intended intake year. Look for the exact Mathematics course and level required, recommended or accepted. Requirements can differ between institutions and may change between admission cycles.
Check both the overall IB score and the required HL subject grades. These vary by course: LSE Economics currently lists 39 points overall and 766 at HL, including 7 in Mathematics, while Oxford Law lists 38 points and 666 at HL. There is no single HL grade combination that applies to every selective university course, and meeting the academic requirements does not guarantee admission.
Course acceptance also varies. Imperial Computing accepts AA or AI at HL, while LSE Mathematics and Economics specifies AA HL. Use individual course requirements rather than treating one Mathematics option as universally accepted or unsuitable.
If the wording is unclear, ask the university admissions team directly and keep a copy of the response. Advice from forums, friends or older students may be useful context, but it should not replace the current published requirement.
Compare the way you solve problems
Compare your problem-solving habits as well as the topics that interest you. Pay attention to how you respond when a problem is unfamiliar.
Try one question that relies mainly on algebraic reasoning and another based on data or modelling. After attempting both, consider:
- Could you identify a starting method?
- Where did you slow down or make an error?
- Could you explain why your method was appropriate?
- Did technology help you investigate the problem, or were you unsure how to use it?
- Which problem made you more willing to keep working after the first attempt?
Bring the attempted questions and a recent school paper to a discussion with your Mathematics teacher or IB coordinator. The pattern of errors is often more useful than the final mark.
Questions to discuss with your teacher
A useful course-selection conversation should cover both evidence and preference. Ask:
- Which topics in my recent work are strong enough for the course and level I am considering?
- Which gaps would I need to close before the course begins?
- How much independent practice is normally expected each week?
- Does my school offer the course and level I need?
- When is the latest point at which a course change would be manageable?
Your teacher can also help distinguish a temporary weak topic from a broader mismatch in problem-solving style or preparation.
If you have already chosen a course
A difficult first term does not necessarily mean that you chose the wrong course. Start by identifying the specific bottleneck. It may be algebra, notation, calculator fluency, interpreting the question, selecting a method, time management or showing enough working.
Compare one correct response, one incomplete response and one question you could not start from a recent paper. Look for a repeated pattern. The next step may be a focused concept review, calculator practice, guided problem selection or timed exam work.
Changing course may still be appropriate, but it should follow a discussion about your current evidence, university requirements and the practical effect on your timetable.
When additional support may help
Extra support is most useful when it addresses a defined problem. Before asking for tuition, identify whether you need help with a particular topic, the transition to HL, calculator technique, written working or exam timing.
Axiom offers group and one-to-one Mathematics support for different learning needs. Group classes provide structured, regular preparation focused on IB examination performance. Students and parents can explore Axiom’s track record alongside the programme information. One-to-one classes provide tailored support for particular topics, tests or assessments.
The IB Mathematics tuition programme provides a starting point for enquiries. Share your current course and level, a recent school paper and any university requirements you have already found so the tutor can discuss which format fits your needs.
A final decision checklist
Before confirming your choice, make sure you can answer these questions:
- Do I understand the main problem-solving style of AA and AI?
- Have I considered SL and HL separately?
- Have I checked the official requirements for likely university courses?
- Have I reviewed my strengths and gaps by topic?
- Have I discussed the decision with my Mathematics teacher or IB coordinator?
- Do I know what support I would need if I choose the more demanding option?
A sound choice should match your current preparation, the work you are willing to practise and the requirements of your likely next step.