The IB Math AI IA criteria divide the mathematical exploration into five assessed areas worth 20 marks in total. Your teacher marks the exploration, and the IB may externally moderate the school's marking. The criteria are Presentation, Mathematical communication, Personal engagement, Reflection, and Use of mathematics.
This article explains the current framework for Mathematics: Applications and Interpretation, first assessed in 2021. The IB has announced a redesigned course for first assessment in 2029, so students in that cohort must follow the new guide supplied by their school.
The Math exploration mark scheme
The exploration is compulsory at SL and HL and contributes 20% of the final subject grade, according to the official IB Mathematics: Applications and Interpretation subject brief. It is an individual written investigation into an area of mathematics chosen by the student.
| Criterion | Focus | Maximum marks |
|---|---|---|
| A | Presentation | 4 |
| B | Mathematical communication | 4 |
| C | Personal engagement | 3 |
| D | Reflection | 3 |
| E | Use of mathematics | 6 |
| Total | Complete exploration | 20 |
Each criterion is assessed separately using a best-fit judgment. Attractive formatting cannot compensate for weak mathematics, while sophisticated calculations do not excuse unclear notation or superficial evaluation. Because moderation considers the submitted work, every achievement must be visible in the report rather than depending on what your teacher knows about your effort.
Criterion A: Presentation, 4 marks
Presentation concerns the exploration's organization, coherence, and concision, not decorative design. A top-level report has a clear aim, develops its mathematics logically, and reaches a conclusion that answers the original question.
Graphs, tables, and diagrams should appear near the relevant discussion. Appendices should not contain essential reasoning that the reader needs to understand the investigation.
Concision does not mean extreme brevity. It means removing material that does not advance the exploration. Repeated calculations, long textbook explanations, raw calculator output, and unexplained data tables may prevent an otherwise organized report from earning full marks.
A practical structure is:
- Context, motivation, and research question
- Data, variables, assumptions, and method
- Mathematical development
- Interpretation and evaluation
- Conclusion
RevisionDojo's step-by-step Math AI IA guide explains how to move from an initial question to a structured report.
Criterion B: Mathematical communication, 4 marks
This criterion assesses whether the reader can follow the mathematics through correct and consistent notation, terminology, definitions, representations, and reasoning. Full marks require relevant and appropriate communication throughout, not merely in isolated sections.
Define variables when they first appear. For example, state that t represents time in minutes before using it in a model. Include units, label graph axes, identify table columns, and use symbols such as correlation coefficients or standard deviation accurately.
Technology output still requires explanation. If software produces y = 2.41e^(0.083t), define both variables, explain how the model was selected, and interpret its parameters in context. A screenshot alone does not demonstrate mathematical communication or understanding.
Frequent mistakes include using an equals sign when an approximate sign is needed, changing symbols midway, omitting units, and inserting spreadsheet output without discussion. The RevisionDojo Math AI IA checklist can support a final notation and formatting review.
Criterion C: Personal engagement, 3 marks
Personal engagement measures how successfully you make the mathematical exploration your own. It is not a direct measure of enthusiasm, effort, time spent, or how personal the topic sounds.
A short anecdote in the introduction is therefore insufficient for 3 marks. Stronger evidence includes designing a data-collection method, making and testing a prediction, justifying the choice between models, adapting an unsuccessful method, or examining the problem from an original perspective.
Suppose you investigate running pace and heart rate. Collecting personal data establishes context, but deeper engagement appears when you decide how to control warm-up effects, identify unreliable readings, compare possible models, and justify which model best addresses your question.
Statements such as “I found this interesting” add little unless connected to a mathematical decision. Math AI IA exemplars can show how engagement becomes visible, but another student's decisions or structure should not be copied.
Criterion D: Reflection, 3 marks
Reflection evaluates how well you interpret, analyze, and evaluate the investigation. Stating a result or listing generic limitations usually demonstrates only limited reflection.
Consider a regression with a high coefficient of determination. Calling the model accurate solely because that value is high is incomplete. Stronger reflection examines residuals, outliers, assumptions, the model's valid domain, whether the relationship is causal, and whether extrapolation is defensible.
Reflection is strongest when it develops the investigation. If a linear model creates a curved residual pattern, recognizing the problem and testing a nonlinear alternative evaluates the first method while improving the analysis. This is more effective than postponing every evaluative comment until the conclusion.
Ask throughout the report:
- Does this result answer the research question?
- Is the result reasonable in context?
- Which assumptions affect it most?
- What does the model fail to represent?
- Would another method be more suitable?
- How could the data or model be improved?
The RevisionDojo Math AI coursework guide provides a useful basis for auditing a draft against each criterion.
Criterion E: Use of mathematics, 6 marks
Use of mathematics carries the most marks. The mathematics must be relevant, appropriate for the course level, sufficiently accurate, and explained well enough to demonstrate understanding.
Relevant mathematics advances the investigation toward its aim. Adding calculus, another regression, or an advanced formula solely to appear sophisticated can weaken the report if the method has no investigative purpose.
| Level | What is needed for high marks |
|---|---|
| SL | Relevant course-level mathematics that is mostly or fully correct, with good to thorough understanding |
| HL | Correct, relevant HL-level mathematics showing thorough understanding, with sophistication and rigour required in the highest bands |
At SL, mathematics beyond the syllabus is not required. A well-explained investigation using regression, statistical testing, probability, trigonometry, or financial modelling can score highly when the methods suit the question.
At HL, sophistication may come from challenging concepts, recognizing mathematical structure, connecting different areas, or approaching the problem from multiple perspectives. Rigour means supporting methods and claims with clear logical reasoning. For 6 marks, the mathematics must be precise and demonstrate both sophistication and rigour alongside thorough understanding.
Technology is expected and valuable in Math AI, but pressing buttons is not evidence of understanding. Explain why each method was selected, show representative working, interpret outputs, and test whether results are reasonable. Targeted practice through RevisionDojo's Math AI resources is preferable to inserting advanced mathematics that you cannot explain.
How the criteria work together
The criteria are distinct, but one passage can provide evidence for several. A residual plot can support Presentation when integrated clearly, Mathematical communication when labelled correctly, Reflection when used to evaluate fit, and Use of mathematics when interpreted accurately.
However, impressive software output may still receive limited credit under Criterion E if the underlying mathematics is unexplained. Similarly, choosing a personal topic does not secure Criterion C marks when every mathematical decision follows a standard template.
Common misconceptions
- More advanced mathematics always earns more marks. Relevance and understanding matter more than unnecessary complexity.
- Personal engagement means liking the topic. Independent mathematical choices provide stronger evidence.
- Reflection belongs only in the conclusion. Strong reflection normally appears throughout the investigation.
- A longer IA looks more substantial. Repetition and irrelevant material can reduce concision.
- Calculator output proves the mathematics. Results must be explained, interpreted, and evaluated.
- Effort earns criterion marks. Only evidence visible in the submitted exploration can be assessed.
Final criterion-by-criterion check
Before submission, identify specific passages that provide evidence for every criterion:
- A: Can the reader follow the aim, method, development, and conclusion?
- B: Are variables, notation, units, graphs, and technology outputs explained consistently?
- C: Do your choices, predictions, adaptations, or perspectives shape the mathematics?
- D: Do you evaluate results and use reflection to develop the investigation?
- E: Is the mathematics relevant, accurate, level-appropriate, and demonstrably understood?
Conclusion
The current IB Math AI IA criteria reward a coherent mathematical investigation, not a collection of impressive-looking calculations. Strong explorations combine accurate mathematics with clear communication, independent decisions, and critical interpretation of what the results can and cannot establish.
Use the rubric during planning rather than waiting until the final edit. RevisionDojo's IA guides, exemplars, Coursework Review, and IA Feedback can help identify missing evidence while keeping the mathematical decisions and explanations genuinely your own.
Sources and referenced URLs
- Official IB Mathematics: Applications and Interpretation subject brief
- Official IB Diploma Programme mathematics curriculum page
- Official IB Mathematics guide containing the current exploration criteria
- RevisionDojo step-by-step Math AI IA guide
- RevisionDojo Math AI IA checklist
- RevisionDojo Math AI IA exemplars
- RevisionDojo Math AI coursework guide
- RevisionDojo Math AI resource overview

