IB Maths IA: Ideas and How to Score High

Good IA ideas connect a personal interest — sport, music, a part-time job, another subject — to maths you can genuinely explore, not just describe. The IA is marked out of 20 across five criteria: Presentation, Mathematical Communication, Personal Engagement, Reflection and Use of Mathematics, each worth 3-4 marks.

The strongest AA HL topics use calculus, complex numbers or proof at a level that shows genuine HL reasoning — not just a harder-sounding title. Think differential equations modelling a real process, complex number transformations in geometry, or an original proof extension using induction or contradiction.

AI SL topics work best when they're statistics- or finance-based with real, self-collected data: correlation between two variables you measured, a regression model predicting something practical, or a simple financial model like loan repayment or compound growth applied to your own numbers.

You can explore a similar area, but the IA must be your own independent work with your own data, angle and analysis — identical topics with copied structure risk an academic honesty investigation. Two students modelling basketball shots is fine; two students submitting near-identical write-ups is not.

A 7-level IA usually scores 17-20/20 by hitting the top band on all five criteria: a coherent, well-organised report, correct mathematical notation throughout, genuine personal engagement (not just enthusiasm claims), critical reflection on limitations, and mathematics used correctly and to an appropriate depth for your level.

The IB recommends 12-20 pages as a guideline, not a strict rule — there's no page penalty for going slightly over or under, but examiners do penalise padding. According to the IB's Mathematics guide, quality of mathematical communication matters far more than length.

The three biggest mark-losers are: no genuine reflection (just saying "this was interesting" instead of critiquing the model), unclear mathematical notation, and mathematics that's too simple for the course level. Examiners specifically look for reflection that shows you understand your work's limitations.

The Maths IA (Exploration) is an internal assessment worth 20% of your final grade, marked by your teacher and moderated by the IB, typically 12-20 pages. The extended essay is a separate, optional 4,000-word independent research paper marked externally, contributing to your diploma points, not your subject grade.

Your school sets the internal deadline, but the IB requires the Exploration to be finalised and marked before final grades are submitted, usually the January or February before your May exam session. Most schools set their own internal deadline months earlier to allow for feedback and revision.

The Exploration counts for 20% of your final grade in both Analysis & Approaches and Applications & Interpretation, at both SL and HL. According to the current IB Mathematics guide, this weighting has applied since first exams in 2021 and continues under the present syllabus.

It's not mandatory, but using appropriate technology to generate graphs, models or regressions strengthens Criterion D (Reflection) and E (Use of Mathematics) when you explain what the software shows and why. A hand-drawn sketch with no supporting software rarely demonstrates the depth examiners look for.

Neither course makes the IA inherently harder — examiners mark AA and AI Explorations against the same five criteria, but at a standard appropriate to each course's content. AA IAs tend to lean on calculus and proof; AI IAs lean on statistics, modelling and applied context.

Yes, this is one of the most reliable ways to find a genuinely engaging topic — students studying Physics, Economics or Sports Science often find natural, data-rich IA questions inside that subject's content, which also strengthens Criterion C (Personal Engagement).