How long should an IB Maths AA IA be?

The current IB Mathematics AA guide recommends approximately 12 to 20 double-spaced pages, excluding the bibliography. This is guidance, not a target that every student must reach. A shorter exploration can score highly if it contains sufficient mathematical depth and meets the criteria. Repeated calculations, oversized graphs and extensive raw data should not be used to inflate the length. Prioritize a coherent argument in which every section contributes to the stated aim.

Do I need an original Maths AA IA topic to score highly?

The IB does not require a topic that nobody has investigated before. What matters is how independently and thoughtfully you develop the exploration. A familiar topic can show personal engagement if you make purposeful choices, adapt a method, compare approaches or evaluate results critically. Copying the structure and calculations of an exemplar, however, undermines both authenticity and academic integrity. Choose a manageable question that gives you room to demonstrate your own mathematical reasoning.

Does an IB Maths AA HL IA need HL mathematics?

Criterion E is applied differently at SL and HL, and the highest HL descriptor expects mathematics that is commensurate with HL together with precision, sophistication and rigour. This does not mean every line must use the most advanced topic in the syllabus. A well-justified combination of methods can be sophisticated when the student makes connections and demonstrates deep understanding. Mathematics beyond the syllabus is permitted, but it must be explained accurately rather than reproduced from a source. Discuss the proposed level with your teacher before investing heavily in a method.

Can I use technology such as Desmos, GeoGebra or a spreadsheet in my Maths IA?

Technology can be used to graph functions, fit models, process data or solve equations when it supports the investigation. You still need to explain the mathematical method, define inputs and interpret the resulting output. Screenshots should be cropped, readable, labelled and integrated into the argument rather than included as evidence by themselves. Where practical, show a representative calculation or derivation so the reader can see that you understand the process. You should also mention relevant settings, restrictions or rounding choices that could affect the result.

How can I demonstrate reflection throughout the Maths AA IA?

Reflect after important decisions and results rather than reserving all evaluation for the conclusion. Explain whether a result is reasonable, what it means in context and how an assumption influences it. You can compare competing models, examine residuals, test sensitivity or consider why an initial method performed poorly. A strong limitation identifies a specific weakness and evaluates its likely mathematical effect. The best reflection often leads to a refinement, additional calculation or more carefully qualified conclusion.

Can I use AI to help with my IB Maths AA IA?

Your submitted exploration must be your own work, and your school may set specific restrictions on AI use. The IB states that AI-generated material is not considered the student's own and must be clearly credited when it is included. Do not use an AI tool to write the report, invent data, perform unverified analysis or produce conclusions that you present as your own. A tool such as Jojo AI may be useful for formative learning or understanding a criterion only when that use is permitted by your teacher. Verify all mathematical information independently and follow your school's required disclosure and citation procedures.

IB Maths AA Internal Assessment Tips

Emma C.

•Last updated: 5 Aug 2026•14 min read

The best IB Maths AA internal assessment tips are to choose a focused question, use mathematics appropriate to your course level, explain every important decision, and reflect critically throughout the investigation. A successful IA is not the one with the most advanced-looking formulae. It is the one in which the mathematics answers a clear aim and the student demonstrates genuine understanding.

Officially called the mathematical exploration, the IA is compulsory at both SL and HL. Under the current Mathematics: Analysis and Approaches course, it is marked out of 20 and contributes 20% of the final subject grade. This guide explains the criteria, a practical structure, common pitfalls, and how worked-solution review can strengthen the reasoning skills needed for both coursework and examinations.

What the IB Maths AA IA requires

The exploration is an individual written investigation into an area of mathematics. The current official guide recommends approximately 12 to 20 double-spaced pages, excluding the bibliography, and allocates about 10 to 15 teaching hours to the task. These figures are guidance rather than an invitation to fill 20 pages, since concision is explicitly rewarded under presentation.

Your teacher marks the exploration first, after which the IB may externally moderate the school's marks. You therefore need to write for a mathematically informed reader who has not watched you complete the investigation. Every definition, assumption, method and conclusion must be understandable from the report itself.

The IA is assessed through five criteria:

Criterion	Maximum marks	Central question
A: Presentation	4	Is the exploration coherent, organized and concise?
B: Mathematical communication	4	Is the notation, terminology and representation appropriate and consistent?
C: Personal engagement	3	Does the work show authentic ownership and independent thinking?
D: Reflection	3	Does the student interpret and critically evaluate the work?
E: Use of mathematics	6	Is the mathematics relevant, accurate and understood at the appropriate level?
Total	20

The official Mathematics AA guide contains the full descriptors. RevisionDojo's Maths AA IA criteria guide can help you translate those descriptors into drafting checks, but your teacher and the official guide remain the authorities for your submission.

How to choose a strong investigation

A strong topic produces a specific mathematical problem, not merely a broad subject. “The mathematics of football” is too wide. “How accurately can a projectile model predict the trajectory of my free kicks from video coordinates?” identifies data, a method and an outcome that can be evaluated.

Test a possible idea with four questions:

Can I state the aim in one precise sentence?
Does the investigation require sustained mathematical reasoning?
Can I explain the mathematics rather than relying on software output?
Will I have meaningful results, assumptions or limitations to discuss?

Personal context can help, but it is not compulsory to collect your own data. Reliable secondary data can support an excellent exploration if it is cited and used thoughtfully. Conversely, personal measurements do not automatically create personal engagement if the rest of the report merely follows a standard procedure.

Avoid selecting a method only because it sounds difficult. A focused optimization, proof, geometric model, differential-equation application or statistical comparison can work, provided it suits the aim and your level. Before committing, perform a small pilot calculation to confirm that the required data and mathematics are manageable.

A practical structure for the Maths AA exploration

The IB does not prescribe mandatory chapter headings, so the following is a practical model rather than an official template.

Introduction and aim

Introduce the context, explain why it is worth investigating, and state a sharply defined aim or research question. Define the principal quantities and indicate the mathematical approach without presenting a long roadmap. If there is a personal motivation, make it specific and relevant.

Assumptions, data and method

Identify where data came from, how measurements were taken and which assumptions make the model possible. Explain why you selected each technique. For example, choosing a quadratic model because a graph “looks curved” is weaker than connecting the choice to constant gravitational acceleration and then testing whether the fitted model behaves accordingly.

Mathematical development

This should be the core of the report. Show representative substitutions, derivations and reasoning in a logical sequence, then interpret what each stage contributes to the aim. Technology can calculate regressions, solve equations or generate graphs, but screenshots and unexplained outputs do not demonstrate understanding.

Analysis and reflection

Interpret results in their original context. Compare a model with observed values, inspect residuals, test a changed assumption, discuss uncertainty or compare two methods. Reflection is strongest when it influences the next mathematical step rather than appearing only as an end-of-report limitation list.

Conclusion and references

Answer the original question directly and with appropriate precision. State what the mathematics supports, acknowledge the most important qualifications, and avoid claiming more than the evidence shows. Cite data, images, formulae, code and ideas that are not your own, using the referencing style required by your school.

How to score well in each assessment criterion

Criterion A: Presentation

Build one continuous mathematical argument from aim to conclusion. Put graphs and tables near the discussion that uses them, eliminate repeated calculations, and move only genuinely supplementary material to an appendix. Examiners should not have to search an appendix to understand essential mathematics.

A table of contents may help a longer exploration, but formatting cannot compensate for weak organization. Each section should advance the investigation. The highest descriptor requires the report to be coherent, well organized and concise.

Criterion B: Mathematical communication

Define symbols when they first appear and use them consistently. Label axes, include units, number important equations or figures where useful, and distinguish exact values from approximations. Calculator syntax such as ^, * or unformatted fractions should be replaced with conventional mathematical notation.

Use several representations only when they clarify the reasoning. An equation, graph and table should perform different explanatory jobs rather than repeat identical information. The RevisionDojo mathematical communication guide provides a useful notation-focused review checklist.

Criterion C: Personal engagement

Personal engagement is visible in decisions. It may appear through devising a method, selecting meaningful variables, adapting a familiar model, testing an alternative or responding intelligently when an initial approach fails. A paragraph saying “I have always enjoyed sport” is not, by itself, persuasive evidence.

Write in your own mathematical voice and explain why your choices serve the investigation. Do not manufacture a personal story. Authentic intellectual ownership is more valuable than an elaborate anecdote.

Criterion D: Reflection

Reflection means thinking about the significance and quality of the mathematics. After an important result, ask what it means, whether it is reasonable, how assumptions affected it and what a comparison reveals. Statements such as “human error may have affected my results” are too general unless you identify the likely source, direction and consequence of that error.

For example, if coordinates were extracted from a video, discuss pixel resolution, camera angle and scaling. You might then test how changing a coordinate within its estimated uncertainty alters a fitted parameter. That converts a generic limitation into critical mathematical evaluation.

Criterion E: Use of mathematics

This criterion carries the most marks. All students need relevant mathematics that advances the aim and demonstrates understanding. At SL, top-level work requires correct mathematics appropriate to the course; at HL, the top descriptor additionally expects precision and evidence of sophistication and rigour.

Sophistication does not mean inserting an undergraduate theorem that you cannot explain. It can emerge from connecting ideas, justifying a derivation, comparing methods or examining the conditions under which a model works. Check every result independently where possible, retain sufficient precision during calculations, and explain technology-generated answers.

Common pitfalls that reduce marks

Students frequently lose marks because they mistake activity for analysis. Watch for these problems:

A broad or changing aim: The conclusion cannot answer a question that was never defined precisely.
A descriptive report: Historical background and definitions occupy space but do not develop an investigation.
Black-box technology: Regression coefficients or numerical solutions appear without explanation or validation.
Excessive complexity: Advanced mathematics is copied or applied mechanically without demonstrated understanding.
Reflection saved until the end: Results are presented for many pages without interpretation.
Unlabelled visuals: Axes, variables, units, scales or data sources are missing.
False precision: A model based on rough measurements produces answers with many unsupported decimal places.
Appendix dependence: Essential reasoning is hidden outside the main report.
Weak source attribution: Data, diagrams, code or methods are included without in-text acknowledgement.

Use the RevisionDojo Maths AA IA checklist for a final audit, not as a substitute for reading your report as a connected argument. The Maths AA IA grader can also provide formative criterion-based feedback, although no automated estimate can guarantee the mark awarded after teacher assessment and IB moderation.

How exam practice improves IA writing

Exam technique and IA writing reinforce the same analytical habits. In both settings, you must select a method, show enough working, use notation accurately and interpret a result in context. The official guide also makes clear that correct exam answers do not necessarily receive full marks without supporting working or explanation.

After attempting a question, do not check only the final answer. Review the worked solution line by line and identify:

how the problem was translated into mathematics;
why a particular method was selected;
which reasoning earned method marks;
where units, domains or restrictions mattered; and
how the result was interpreted.

Apply the same review to your IA. For every major calculation, ask whether the setup is justified, the working is visible and the conclusion follows. RevisionDojo's Maths AA subject hub provides per-question past-paper video solutions and worked explanations that can support this review process. Use them to study method and communication, then redo the question without assistance rather than copying a solution pattern.

A final submission checklist

Before submitting, confirm that:

the introduction contains a precise aim and relevant rationale;
every major method is justified and connected to the aim;
variables, graphs, tables and units are defined consistently;
calculations have been checked and rounding is appropriate;
technology output is explained rather than pasted;
reflection appears throughout the exploration;
the conclusion directly answers the original question;
every external source is acknowledged in the text and bibliography; and
the report complies with your school's formatting, feedback and submission rules.

The exploration must remain your own work. The IB's statement on artificial intelligence explains that AI-generated material is not considered a student's own and must be clearly credited if included. Follow your school's rules before using Jojo AI or any other tool with assessed coursework, and never submit generated analysis or prose as your own.

Conclusion

Scoring well in the IB Maths AA IA depends on a focused aim, relevant and accurate mathematics, clear communication, authentic decision-making and sustained critical reflection. Depth is usually more convincing than unnecessary complexity, while concise presentation makes the mathematical argument easier to assess.

RevisionDojo can support the review process through its complete Maths AA coursework guide, IA criteria resources and formative feedback tools. For the most useful connection between coursework and exam preparation, review the per-question video solutions in the Maths AA hub, record how each worked method communicates reasoning, and apply those habits to your own independently written exploration.