Every year, thousands of IB students ask the same question:
What should my IB Math IA be about — and how do I actually score a 7?
The Internal Assessment is worth 20% of your final IB Math grade, yet most students treat it as an afterthought. They pick an overused topic, rush the writing, and lose marks they could easily have kept.
In this guide, we share 30 unique IB Math IA topic ideas for both Analysis & Approaches (AA) and Applications & Interpretation (AI), explain exactly how the five marking criteria work, and give you the step-by-step process our IB examiner team recommends to reach a 7.
The IB Math Internal Assessment is a written mathematical exploration. You choose a topic, investigate it using mathematics, and submit a report of 12 to 20 pages. It counts for 20% of your final IB Math grade and is marked by your teacher, then moderated by the IB.
Here is what most students miss: the IA is not a math test. You can calculate everything correctly and still score 12 out of 20 if your explanation, reflection, and personal voice are weak. The IB is assessing mathematical communication and thinking — not just computation.
Key fact: The IA is worth 20 marks across five criteria. Understanding those criteria — not just the mathematics — is what separates a grade 5 IA from a grade 7 IA.
Your IA is assessed against five criteria worth a combined 20 marks. Here is what each one actually requires, beyond what the descriptor says:
| Criterion | Name | Marks | What examiners look for |
|---|---|---|---|
| A | Presentation | 4 | Structure, coherence, appropriate length. Every graph and table must be referenced in the text. |
| B | Mathematical Communication | 4 | Correct notation, defined variables, labeled axes, step-by-step reasoning with explanation. |
| C | Personal Engagement | 3 | Your voice, curiosity, and original thinking. AI-generated text scores near zero here. |
| D | Reflection | 3 | Critical evaluation of your approach, results, and model limitations — not just a summary. |
| E | Use of Mathematics | 6 | Mathematics at or above syllabus level, used correctly and with genuine understanding. |
Students who score 6s and 7s on IB Math exams regularly score 12–14 on their IA. Exam speed does not transfer to exploration writing. They are different skills — and most students have never been formally assessed on them before.
The IB publishes examiner reports after every session. These reports name topics where students consistently underperform. Avoid these:
On using AI for your IB Math IA: You can use AI as a brainstorming tool, but submitting AI-generated text is academic misconduct under IB policy. More practically — AI-generated text scores near zero on Criterion C because there is no personal voice. Examiners who have marked thousands of explorations recognise it immediately.
These topics allow genuine exploration, use mathematics at or above syllabus level, and leave room for your personal voice. All have been reviewed by our IB examiner team.
Brings in differential equations and lets you compare the drag model against the ideal case. Genuinely surprising results when you add realistic coefficients.
Connects ratios, modular arithmetic, and graph theory to something personal. Works especially well if you play an instrument — the personal engagement writes itself.
Uses calculus optimisation, conic sections, and parametric curves. Real structural engineering application. Strong for Criterion E.
Frequency, tension, and density connect through a clean square root relationship. Easy to collect real data yourself. Excellent personal engagement opportunity.
Genuinely beautiful mathematics using complex number iteration. As long as you explain the math rather than describe the picture, this scores very well on Criterion E.
Accessible and personal. Allows exponential function modelling with real collected data. Extend to differential equations for HL.
Directly from the HL syllabus but rarely explored in depth. Pick a specific function and investigate how quickly the series converges for different values of x.
Geometric probability, trigonometry, and optimisation combined. Examiners respond well to sport connected rigorously to mathematics.
Start from a pattern you notice, conjecture it, then prove it. This structure shows exactly the mathematical thinking Criterion E rewards at HL.
More nuanced than the SIR model. Choose a specific species, fit the logistic curve, and reflect on where the model breaks down. Strong Criterion D opportunity.
Leads to hyperbolic functions — a beautiful HL extension topic. Real-world application in bridge engineering. Easy to collect photographic data yourself.
Genuinely original. Collect historical boundary data, apply regression, and investigate whether any model fits. Strong Criterion C — your motivation is immediately obvious.
Real data, well-defined methodology, and genuine uncertainty. The Poisson model is directly on the AI syllabus. Compare predictions to actual outcomes for strong reflection.
Freely available data via Spotify API. Uses Pearson correlation and chi-squared test. Personal if you connect it to your own music taste.
Applied statistics in a real local context. Collect your own data. Criterion C scores are typically high because the personal connection is immediate and obvious.
Survey your year group, apply t-tests and correlation analysis. Simple to execute and deeply personal. Strong opportunity to reflect on data bias and limitations.
Graph theory, adjacency matrices, and exponential growth. Original and contemporary. Strong for Criterion E at HL with matrix operations.
Collect historical forecast vs actual data for your city. Apply chi-squared goodness of fit. Accessible and allows genuine reflection on model reliability.
Trigonometry (AA) or regression and probability (AI). Works for both courses. Collect NBA data or film your own shots for real personal engagement.
Open datasets freely available. Use multiple regression, assess residuals, and reflect on what the model gets wrong. Connects to economics and real life in a meaningful way.
Once you have a topic, here is the process our examiner team recommends. It mirrors how the IB actually marks your work — not how most school teachers teach it.
One clear sentence: “This exploration investigates [X] using [mathematical technique] in order to [specific goal].” Everything in your IA should connect back to this sentence. If a section does not serve this aim, cut it.
List every technique you plan to use. Make sure at least one or two are at or above syllabus level. For AA HL this often means calculus, complex numbers, or proof. For AI HL it means matrix operations, network theory, or advanced statistical tests.
Criterion C separates a 5-scoring IA from a 7-scoring one. Do not write “it is interesting that…” — write “I expected the curve to flatten earlier, but the data continued rising until X, which led me to reconsider my model.” That specificity is personal engagement.
Not “my data could be more accurate.” Real limitations look like: “The Poisson model assumes goals are independent events, which is violated when one team is winning and adjusts their strategy.” That is Criterion D at the top mark band.
Aim for 14–17 pages. Every graph must be labelled with axes, units, and a caption. Every variable must be defined when first introduced. Use equation editor software — handwritten mathematics is not appropriate for submission.
Your teacher can give general guidance but the IB limits how much formal feedback they can provide. An experienced IB examiner reading your draft against the actual criteria is the most efficient way to move marks — because they know exactly what “meets the descriptor” means at each level.
12 to 20 pages, with 14 being the sweet spot. This excludes your bibliography and any appendix. A focused, tight 14-page IA consistently scores higher than a padded 22-page one — because conciseness is part of Criterion A.
Yes. The IB explicitly allows topics that go beyond the syllabus, provided you can explain the mathematics clearly and it connects to your exploration’s aim. The key is depth of understanding, not just difficulty. Elliptic curves, topology, and information theory are all viable — if you can explain them in your own words.
Ideally in DP1. Many students leave it to DP2 and find themselves writing during exam revision season. Starting early means you have time to change direction, gather real data, revise your draft properly, and benefit from teacher feedback without pressure.
You can use AI as a brainstorming or research tool. You cannot submit AI-generated text as your own — this is academic misconduct under IB policy. Beyond the ethics, AI-generated text scores close to zero on Criterion C because it lacks a genuine personal voice. Examiners who read thousands of student explorations recognise it quickly.
20% of your final IB Math grade. It is marked out of 20 points across five criteria. A strong IA can take you from a grade 5 to a 6, or a 6 to a 7 — which is why it deserves serious attention early in the programme, not as an afterthought before the deadline.
Both courses require the same exploration format, but the expected mathematics differs. AA students are expected to use more pure mathematical techniques — calculus, proof, complex numbers. AI students typically use applied mathematics — statistics, modelling, data analysis. The marking criteria are identical for both courses.
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