IB Mathematics: Analysis and Approaches Tutoring, SL and HL
Mathematics: Analysis and Approaches puts strong emphasis on constructing, communicating and justifying mathematical arguments, so knowing a method is not enough: the working has to show it. The course also switches between a paper where no calculator is allowed and papers where a graphic display calculator is required, and students need fluency in both modes.
Short answer
IB Mathematics: Analysis and Approaches is offered online, one-to-one.
A private lesson runs 90 minutes and starts at USD 95 per lesson; lessons are booked singly or in packages.
IB group classes are private groups of three or more friends, who agree the start date with us.
From USD 95 per lesson
Your lessons are taught by Burak Kara, who teaches IB Mathematics: Analysis and Approaches.
- SL and HL assessment from the IB’s own subject brief
- Live online lessons of 90 minutes
- From USD 95 per lesson
How IB Mathematics: Analysis and Approaches is assessed
External papers set and marked by the IB, and an internal assessment marked by your teacher and moderated by the IB. Standard Level and Higher Level differ in length, weighting and, at HL, in the extra paper or component. Figures are from the IB’s own subject brief, linked below.
International Baccalaureate
IB Diploma Programme · Mathematics: Analysis and Approaches · subject brief, first assessment 2021
| Component | SL: weight and length | HL: weight and length | What it involves |
|---|---|---|---|
| Paper 1 | 40% · 1 hour 30 min | 30% · 2 hours | No calculator. Section A short-response and Section B extended-response questions, all compulsory. |
| Paper 2 | 40% · 1 hour 30 min | 30% · 2 hours | Calculator required. Short-response and extended-response sections, all compulsory. |
| Paper 3 (HL only) | HL only | 20% · 1 hour | Calculator required. Two compulsory extended problem-solving questions. |
| Internal assessment | 20% | 20% | The exploration: an individual written piece of mathematics on a topic the student chooses. |
Checked on 24 September 2026
Paper names are the IB’s own. Internal assessment time is the teaching time the IB allocates to it, not an exam.
The IB Mathematics: Analysis and Approaches syllabus
Topic names are left in English, as they appear on the paper and in the mark scheme.
Topics 1–3
Number and algebra · Functions · Geometry and trigonometry
Topics 4–5
Statistics and probability · Calculus
Where IB Mathematics: Analysis and Approaches marks are usually lost
Slips on the no-calculator paper
Paper 1 is written without any calculator, and it is not designed around heavy arithmetic, yet many marks are lost there to small manipulations: a sign dropped when expanding, a logarithm law misapplied, a surd left unsimplified, an exact trigonometric value misremembered. Students who have leaned on the GDC all year find their algebra slower and less reliable than they assumed.
A correct answer with no working
The guide states that full marks are not necessarily awarded for a correct answer with no working, and that method marks can rescue a wrong answer only if the method is written down. On the calculator papers this catches students who type an equation into the GDC and write only the result. The equation being solved, or the function being graphed, belongs on the page.
Proofs that assume the result
“Show that” questions and proofs lose marks when students work backwards from the given answer, treat what must be proved as a starting point, or stop before a clear concluding statement. At HL, induction arguments often skip the base case or the final sentence, and the guide notes that stating a counterexample alone is not sufficient: it has to be shown to fail.
The IB Mathematics: Analysis and Approaches internal assessment
The internal assessment is the exploration: an individual written piece of mathematics on a topic the student chooses. It is assessed on presentation, mathematical communication, personal engagement, reflection and use of mathematics, and the guide expects mathematics commensurate with the level of the course; textbook-style work that reproduces readily available mathematics without the student’s own perspective is unlikely to reach the higher levels. A tutor can help a student find a topic with genuine mathematical depth, check that they understand every step they intend to use, and discuss notation and structure so that the mathematics reads clearly from start to finish.
A tutor can explain the criteria, question a draft and point to what is weak. The research, the writing and every decision in it stay the student’s own, as the awarding body’s rules require.
How we teach IB Mathematics: Analysis and Approaches
A tutor builds the course on its spine of functions and calculus, connecting algebra, trigonometry, sequences and series, and statistics and probability to it as they arise. Lessons alternate between non-calculator practice, where accurate algebra and exact values are drilled, and GDC practice, where the student learns to use the calculator efficiently and to record what it was used for. Students learn early what the formula booklet provides and what they must still know. Every solution is marked the way IB examiners mark, with method, accuracy and reasoning credited separately, so students see where marks are gained and lost. Proof is taught steadily through the course rather than as a separate topic. HL students practise the extended problems of Paper 3, which start from syllabus content and build towards a generalisation or the interpretation of a context.
There is no separate diagnostic, because there is no single test that stands in for two years of a school syllabus. The first lesson is the assessment: the tutor works through your recent marked work, past-paper questions from your own specification, and the units your school has already covered, and reads current level, gaps, exam technique and where school work stands. It is a normal paid lesson and it teaches as it assesses.
Related subjects and pages
IB Mathematics: Applications and Interpretation
IB Maths AI tutoring online, SL and HL: show the method behind calculator results, interpret hypothesis tests, build models, plan the exploration.
IB Physics
IB Physics tutoring online, SL and HL: choosing and applying equations, graphs and uncertainties, Paper 1B data questions, clear explanations and the IA.
IB Computer Science
IB Computer Science tutoring online, SL and HL: programming in Java or Python, tracing algorithms by hand, the case study, machine learning and the IA.
IB Diploma Tutoring
Online IB Diploma tutoring: HL and SL subjects in all six groups, IA and EE supervision within IB rules, TOK and revision courses.
IB prices
IB tutoring from USD 95 per 90-minute lesson. Compare lesson packages and included materials.
IB Mathematics: Analysis and Approaches: reviews from our students
Students and parents who prepared with us write these reviews themselves. We check each one before publishing it and never change its words or its star rating.
Nobody has reviewed this programme here yet. If you prepared with us, tell other students across Africa how it went.
Frequently asked questions
Short, direct answers. If yours is not here, ask us.
Talk to us about IB Mathematics: Analysis and Approaches
Tell us your board or level, your predicted grade and when you sit it. We will tell you honestly whether you need a tutor, and which one.