UK / IIG / 01
IB Maths AA and AI
Both subjects at both levels, taught for understanding.
Open the syllabusIB Diploma · Mathematics AA and AI · Internal assessment
The IB Maths IA is the internal assessment in IB Diploma mathematics, an individual piece of written mathematics that the IB's guide says "is called the exploration". The IB's academic integrity policy asks students to "abstain from receiving non-permitted assistance in the completion or editing of work", and it names private tutors in that list. So honest IA help has a clear edge. Modern Age Coders teaches IB maths live online, in a group or one to one, through our IB Maths AA and AI course: the mathematics an exploration might use and the general method of investigating. We never read, comment on, write or edit any part of an exploration.
From the IB's academic integrity policy and maths guide · We never write, edit or review an exploration · Not connected with the IB
What is the IB Maths IA?
In IB Diploma mathematics, the internal assessment is a piece of the student's own mathematical writing that the IB's Mathematics: analysis and approaches guide says "is called the exploration". The same guide says the course expects 30 hours for developing inquiry, modelling and investigation skills, including "up to 15 hours for work on the internal assessment", at both SL and HL. Coursework must be "authentic, based on the student's individual and original ideas", with every source acknowledged. The IB's academic integrity policy asks students to refuse non-permitted help "in the completion or editing of work", naming "private tutors" among others. The IB's own site was closed to us, so for the current criteria and marks, use the subject guide your teacher holds. Modern Age Coders teaches the mathematics explorations tend to draw on, live online, and never works on the exploration itself.
Where to begin
Each card opens a full syllabus. None includes work on an assessed exploration.

IIG / 01
The whole course at SL and HL: functions, calculus, statistics and, for HL, proof, taught for understanding.
Open the syllabus →
IIG / 02
Regression, correlation and distributions in depth, for students whose interests run to data.
Open the syllabus →
IIG / 03
Proof and problem solving for students who enjoy the reasoning side of mathematics.
Open the syllabus →The exploration
It is the internal assessment in each IB Diploma mathematics course: a piece of mathematics the student chooses, investigates and writes up. Here is what we could read in the IB's own documents, and what we could not.
| Point | What the guide says |
|---|---|
| Its name | The internal assessment "is called the exploration" |
| Class time | 30 hours for inquiry, modelling and investigation skills, including up to 15 hours for the internal assessment |
| Courses and levels | Two subjects, analysis and approaches and applications and interpretation, each offered at SL and HL |
| Teaching hours | 240 hours at HL and 150 at SL, of which 210 and 120 are for the syllabus |
| Authenticity | Coursework must be "authentic, based on the student's individual and original ideas with the ideas and work of others fully acknowledged" |
| Sources | "candidates must acknowledge all sources used in work submitted for assessment" |
The IB's website returns an error (HTTP 403) to our automated reader on every IB address we tried, and the public copy of the guide we found stops before the assessment chapters. So this page does not state the exploration's criteria, their marks, its share of the grade or any length guidance.
Your teacher has the current subject guide and the criteria for your session. Use those words, not a tutor's summary, including ours.
The single question families ask us most about the IA is not "what are the criteria?" but "what help is allowed?". That answer is in a document we could read in full: the IB's own academic integrity policy.
The rest of this page is built on it.
Source: IB, Mathematics: analysis and approaches guide, published February 2019, read through a partial public copy because ibo.org returned HTTP 403. Modern Age Coders is not connected with the International Baccalaureate.
The IB's rules
Not with the work itself. The IB's academic integrity policy names private tutors among those whose help in completing or editing assessed work a student should refuse.
| Who | What the policy says |
|---|---|
| Students | Should "abstain from receiving non-permitted assistance in the completion or editing of work, such as from friends, relatives, other students, private tutors, essay writing or copy-editing services, pre-written essay banks or file sharing websites" |
| Teachers | "students are expected to produce work autonomously and should not receive additional help, such as multiple edits of a piece of work" |
| Teachers | Must ensure "students are not provided with multiple rounds of editing, which would be contrary to instructions described in the relevant subject guides" |
| Parents | Who support the school "will be less inclined to give unfair assistance to their children, for example, by writing or over-editing their work" |
| Schools | Infringements include "over-editing or templating or manipulating finished pieces of work for improvement" and allowing work "produced by third parties such as teachers, tutors, parents, and peers" |
The reasoning is set out plainly. When a student receives help "beyond what is recommended in the subject guidelines", the policy says, "the work is not entirely produced by the student in question", and the assessment "can only be fair if it truly and effectively reflects the genuine and authentic effort of the student". It even lists "the easy access to support services, such as writing or tutoring services" among the reasons students fall into misconduct. A tutoring business should read that sentence and draw a line, which is what the next section does.
The policy says "Plagiarism is the most common form of student academic misconduct." In maths that includes formulas, derivations, graphs and code taken from elsewhere without acknowledgement, not only sentences.
The guide's rule is simple: acknowledge every source, in a consistent referencing style.
The copy we read is the October 2019 edition. The IB updated the policy in March 2023, and that edition sits on ibo.org, which was closed to us. Schools use the current version, so ask your coordinator for it, particularly on the use of AI tools.
Nothing in a newer edition is likely to make tutor editing more acceptable, but read it rather than trust us.
Source: International Baccalaureate Organization, Academic integrity, published October 2019, an unaltered copy of the IB's PDF hosted by an IB school, read 31 October 2026. The 2023 update on ibo.org returned HTTP 403 and has not been read.
Our line
We teach mathematics and the general craft of investigating. We keep away from the exploration itself, entirely.
| We do | We never do |
|---|---|
| Teach the syllabus mathematics a student may later choose to use, such as modelling, regression, calculus or proof | Suggest, choose or approve a student's exploration topic |
| Teach how mathematicians investigate in general, using our own practice problems unrelated to any student's exploration | Read, mark, comment on or "check" a draft, plan or outline |
| Explain what acknowledging a source means and how referencing works | Write, rewrite, edit, proofread or format any part of an exploration |
| Answer questions about mathematics the student brings, as mathematics | Work through the student's own data, model or derivation for them |
| Point students to their teacher, who is the right person to guide the exploration | Supply example explorations, templates or structures to follow |
If a student asks during a lesson for help with their exploration, the teacher will say no and explain why, and will suggest they take the question to their IB teacher. That is not unhelpfulness; it protects the student, whose diploma depends on the work being theirs. It also protects their school, because the policy treats allowing third-party work as a school infringement.
A student who genuinely understands, say, least-squares regression or integration by parts can choose a richer question and pursue it on their own. Understanding is theirs to use; a tutor's paragraph is not.
The guide's time budget, up to 15 class hours for the exploration, is small. Mathematics learned well beforehand is time not spent learning it during those hours.
Guidance on the exploration itself comes from the IB teacher, within the limits the subject guide sets. That is the one adult whose help with the work the IB system expects.
For the papers, our IB maths tuition page covers the courses more widely.
Finding a topic yourself
Not from a list of "IA ideas". The guide asks for the student's "individual and original ideas", so the method below helps you find one; it gives you none. The method is ours.
Not an exploration, just practice in the habit. Question: if every person in a room shakes hands once with everyone else, how many handshakes are there? Count small cases: 2 people give 1, 3 give 3, 4 give 6, 5 give 10.
The differences grow by one each time, which suggests n(n minus 1) over 2. For 5 people that is 5 times 4 over 2, which is 10, matching the count. A pattern in four cases is a guess, not a proof.
Each of n people shakes n minus 1 hands, but that counts every handshake twice, so divide by 2. An HL student could also prove it by induction: adding one person adds n new handshakes. Explaining why is the point.
That loop, small cases, a conjecture, a check, a reason, is the general shape of mathematical investigation, and practising it on problems that are nobody's coursework is where we spend lesson time. The guide describes analysis and approaches as being for students who want to "construct, communicate and justify correct mathematical arguments"; the habit above is that, in miniature.
The two courses
Both courses have an exploration. The guide describes the two subjects differently, and that difference often shapes the kind of mathematics a student reaches for.
For students who "enjoy developing their mathematics to become fluent in the construction of mathematical arguments", and who "enjoy the thrill of mathematical problem solving and generalization."
At HL the guide expects "strong algebraic skills and the ability to understand simple proof", and includes proof by induction.
For students "interested in developing their mathematics for describing our world and solving practical problems", harnessing technology alongside mathematical models.
The guide says AI students "enjoy mathematics best when seen in a practical context."
These descriptions are the IB's, from the analysis and approaches guide, which describes both subjects in its introduction. They say nothing about which subject produces better explorations, and neither do we. What they suggest is that a student should pick a question whose mathematics fits the course they actually take, which their teacher will confirm.
Source: IB, Mathematics: analysis and approaches guide, Nature of mathematics section, published February 2019.
Across the diploma
Mathematics learned before the exploration window is mathematics a student can choose to use. These stages are ours.
| When | Focus | Secure when |
|---|---|---|
| Start of year one | Functions, algebra and notation | Can move between graph, table and formula |
| Through year one | Statistics and calculus foundations | Can model data and differentiate with understanding |
| Before the exploration window | Investigation habit, on our own problems | Can run the cases, conjecture, check, reason loop alone |
| Year two | The rest of the syllabus and the papers | Exploration work stays between the student and their IB teacher |
We can still teach the mathematics a student is studying. We will not look at the exploration, however close the deadline.
The IB teacher is the person to talk to about timing.
Students heading to maths-heavy degrees often continue with university-level maths.
The A level maths page covers the other UK route for comparison.
All related courses
The syllabus, its deeper strands, and what follows. No course includes work on assessed coursework.
UK / IIG / 01
Both subjects at both levels, taught for understanding.
Open the syllabusUK / IIG / 02
Models, distributions and inference in depth.
Open the syllabusUK / IIG / 03
For students taking both subjects.
Open the syllabusUK / IIG / 04
Proof-based problem solving.
Open the syllabusUK / IIG / 05
Matrices, complex numbers and more, for HL students who want extra.
Open the syllabusUK / IIG / 06
Calculus, linear algebra and analysis.
Open the syllabusUK / IIG / 07
Statistics and linear algebra for data careers.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Teachers are in India, which has no clock change: India time is four and a half hours ahead of UK time in summer and five and a half in winter. Lessons are set in UK time.
After school
For diploma students in term time.
Weekend morning
Longer sessions on harder topics.
Holidays
Consolidation between years one and two.
Taught for understanding, at SL or HL.
Investigation practice on questions that are nobody's coursework.
We do not open, read or comment on any exploration.
A batch of 15 to 20 at one level, or a teacher for one student.
What acknowledgement means, in general.
IA questions are sent back to the IB teacher, every time.
Student work
Projects made in our classes, none of them assessed coursework. More on student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
A monthly fee in the currency we use for UK families, for maths teaching only. The first lesson is free, and nothing in any plan includes IA work.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
What families say
Parents' reviews from our Google profile, as written.
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IB Maths IA questions
It is the internal assessment in IB Diploma mathematics, which the IB's analysis and approaches guide says is called the exploration. It is the student's own piece of mathematical work, with all sources acknowledged.
Not with the work. The IB's academic integrity policy asks students to refuse non-permitted help in completing or editing assessed work, and names private tutors in that list. A tutor can teach the mathematics; guidance on the exploration comes from your IB teacher.
No. We do not read, comment on, mark, edit or proofread any part of an exploration, at any stage. The policy says students should not receive multiple edits of a piece of work, and we will not be a source of them.
No. The guide asks for the student's individual and original ideas. We share a general method for finding your own question and practise investigation on problems that are no one's coursework.
The analysis and approaches guide expects 30 hours for inquiry, modelling and investigation skills, including up to 15 hours for work on the internal assessment, at both SL and HL.
Your teacher has them in the current subject guide. The IB website was closed to our reader, so we do not print criteria or marks we could not check. Use the IB's own wording.
Both courses have an exploration. The guide describes analysis and approaches as built around constructing mathematical arguments and applications and interpretation around describing the world and practical problems, which often shapes the mathematics students use.
The IB treats it as academic misconduct, and its policy says plagiarism is the most common form. It also lists allowing work produced by tutors or parents as a school infringement. Ask your IB coordinator about the current policy.
The syllabus mathematics at SL or HL, and practice in investigating on our own problems. If a question about the exploration comes up, we send it to the student's IB teacher.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. All times are in UK time.
Related pages
The wider course, computing, and the A level comparison.
The two courses and both levels.
For students taking both subjects.
The other main UK route at 16.
Another assessed project with a clear help boundary.
Proof and problems beyond the syllabus.
Our hub for every UK page.
Part of the guide: UK maths exam boards and specification codes
More guides: UK maths year by year, Reception to Year 11 · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
Start here
Tell us your subject, level and what you are studying now. The free lesson is on the syllabus mathematics, never on the exploration.
Reading first? The IB maths course page lists every topic, and how we teach explains our method.
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