IB Mathematics: Analysis and Approaches, taught one to one online at SL and HL to students at international schools and Gymnasien in Berlin, Frankfurt, Munich, Hamburg and across Germany. DP maths teachers and IB specialists help you hold on to HL, master calculus and proof, and prepare the exploration, in lessons after school on Central European Time, from €63 an hour.
The tutors here teach Analysis and Approaches. Tell us where HL is costing you confidence, often vectors or calculus, and we suggest someone who can help you hold a strong grade at HL rather than step down to SL.
IB Maths AA Tutor15 years' IB teachingPhD in Mathematics
I have been teaching for a long time; the past 15 years in international IBDP boarding schools in Norway, Wales, Italy and Hungary. I have been involved in writing textbooks, I have experience in teaching IB mathematics at all levels for both AI and AA.
IB Maths AA TutorHead of Mathematics20+ years' teaching
I’m Kapil, a highly experienced IB DP Mathematics Subject Leader and official IB Examiner for HL Analysis & Approaches. With over two decades of international teaching experience, I am deeply familiar with the IB curriculum and assessment standards. I hold an M.Sc. in Mathematics, an M.Ed., and an MBA, and I am currently a Subject Leader at Nazarbayev Intellectual School.
IB Maths AA TutorSenior IA moderatorIB curriculum reviewerIB workshop leader
Since 2004, I have worked as a senior IA moderator, examiner, workshop leader, and curriculum reviewer. I have even authored key resources for the IB, including IA portfolio tasks and micro-credential modules. This unique perspective means I know exactly what IB examiners are looking for and how to help you achieve your best possible grade.
IB Maths AA TutorHead of MathematicsIA moderator
I have achieved the highest average in MYP Mathematics across all Beaconhouse schools, reflecting consistently strong student outcomes. I am also an IA Moderator and Examiner, giving me first-hand insight into IB assessment standards, mark schemes, and examiner expectations.
IB Maths AA Tutor15+ years' IB teachingPublished author
I'm Tim, a teacher and tutor of Maths. I have taught and tutored IB Maths at all levels for over 15 years. I have recently taught at The International School of The Hague and the German School (London). During my time at International Schools I have had experience with moderating exams and IAs. I am a Member of the Association of Teachers of Mathematics and have also co-authored a book in teaching Mathematics at post 16 level. Tuition is a conversation driven by tutees issues with the material. I endeavour to make Maths an accessible and less intimidating subject. Outside of tutoring I enjoy music, travelling and cinema.
IB Maths AA TutorFormer IB examiner experience30+ years' teaching
I am an experienced IB Mathematics HL teacher, as well as a former IB examiner and moderator. Over the years, I have helped many students achieve top grades — 6s and 7s — in their IB exams. I have also taught Theory of Knowledge (TOK) for two years.
In Germany, your IB maths level decides which degrees the Diploma opens. Under the KMK agreement on recognising the IB Diploma, maths at HL, in either AA or AI, gives general access to every subject; at SL it gives access only to degrees outside mathematics, the sciences and engineering. Medicine, law, economics and the humanities stay open with SL, but physics, informatics or mechanical engineering do not.
The exception is the KMK's Annex 1 (or, for German schools abroad, Annex 2): schools listed there teach the missing content, notably vector geometry, so their students get general access with Maths SL. Annex 1 listed 60 schools in Germany as of 30 October 2026, including every DP school in the Berlin area (the state Nelson-Mandela-Schule among them) and Munich International School. Two state Gymnasien, Goethe-Gymnasium in Frankfurt and Helene-Lange-Gymnasium in Hamburg, were not on it on that date; their IB students usually take the Abitur as well. The list is updated, so check your own school on the KMK page before levels are fixed.
The rule has applied since the May 2021 exams, and it is the detail families most often miss. Our overview of the IB in Germany explains how the rest of the Diploma is recognised.
Bavaria's recognition office does not accept a switch between HL and SL in a required subject during the two years, so treat the level as a two-year commitment. If AA HL feels too abstract, Maths AI at HL gives the same access in Germany.
Outside Germany it is the course, not only the level, that universities check. TU Delft accepts only Analysis and Approaches HL. Edinburgh's engineering degrees ask for AA at grade 5 and its computer science degree for AA at 6, and Imperial's Mechanical Engineering takes either maths course at HL but states a preference for AA.
For economics, the grade matters as much as the course: LSE's BSc Economics asks for a 7 in maths, which is why many students pair AA HL with IB Economics. Our article on the IB for future STEM students weighs the Diploma for science and engineering plans.
The course itself is changing: the IB's new maths courses start teaching in August 2027 for first exams in May 2029, and the current courses are examined for the last time in November 2028.
HL is a different course rather than a longer one. The 90 additional hours are spent largely on calculus, vectors in space and proof, and Paper 3 gives you an hour for two extended problems that start from familiar content and lead somewhere new.
Weighing HL against SL with a German degree in mind? Talk to us before your school's deadline for changing levels.
Calculus and three-dimensional geometry account for most of the difference between the levels, and they are also the topics that German technical degrees build on. Thirty further hours go on modelling skills and the exploration, an investigation of 12 to 20 pages that counts for 20% of the grade at both levels.
Limits, derivatives from first principles, optimisation and areas under curves; at HL, implicit derivatives, Maclaurin expansions and solving differential equations.
Radian measure, the unit circle, identities and trigonometric equations; HL brings in compound angles and vectors, lines and planes in three dimensions.
Arithmetic and geometric sequences, laws of logarithms and binomial expansion; at HL, complex numbers, proof by induction or contradiction, and linear systems.
Regression, conditional probability, and binomial and normal distributions; at HL, Bayes’ rule and continuous distributions.
Composite and inverse functions, graph transformations, and exponential, logarithmic and rational models; at HL, polynomials and their roots, and inequalities.
At HL, more than a third of candidates scored a 6 or 7 in May 2025, and a 5 was the single most common grade. The HL mean was 4.9, against 4.5 at SL.
| IB grade | Share of candidates |
|---|---|
| 1 | 0.7% |
| 2 | 5.1% |
| 3 | 10.8% |
| 4 | 21.8% |
| 5 | 23.7% |
| 6 | 20.3% |
| 7 | 16.4% |
From a 4.0 average before tutoring to a 5.6 after tutoring with Lanterna.
“What I liked the most about Mr. Manoj is how he was always able to keep me accountable and made sure that I would truly learn the subject. Additionally, towards the exams he would go out of his way to give me more lessons and be able to help me push that little but extra more, even if he had to teach very late into the night for himself.”
“The classes are open and very much adapted to my individual needs. Finally, I am not afraid to ask a question, as I know that my tutor will explain the material to me in the best possible way. After only 2 classes I have managed to improve my physics grade from a 6 to a 7, but more importantly, I have managed to understand the material, which I think is the most important point. I cannot recommend Lanterna highly enough.”
“I had Joshua Yacoub as my math tutor for more than a year. He brought my grade from 2 to a 7 in no time. He was an absolutely amazing teacher, no one has ever compared to him and no one will, because Joshua can solve any issue that can come up in your lifetime.”
Every review comes from an IB student or parent we have taught. Read more on our reviews page.
Master the toughest IB Math AA HL Calculus topics: Maclaurin Series, Integration by Parts, and Differential Equations. Includes common errors and 5 advanced practice questions. Tailored for the post-2021 syllabus.
Read the guide: IB Math AA HL Calculus Deep Dive (2026)Confused by the new IB Maths courses? Learn how to choose between Analysis and Approaches and Applications and Interpretation at SL or HL with this expert guide.
Read the guide: Complete Guide to New IB Maths CoursesLearn how to tackle tough IB Math questions with confidence. This expert guide offers structured steps and revision tips to approach difficult problems effectively.
Read the guide: How to Tackle Tough IB Math QuestionsLook for someone whose main subject is AA, at the level you sit, rather than a general maths tutor who knows the Abitur. Tell us your school, level and recent marks in a free consultation and we suggest a Lanterna tutor for whom AA is the main subject, from an IB graduate to an experienced DP maths teacher. Because lessons are online, a student in Munich, Hamburg or a smaller town has the same choice.
Yes. If your school is not on the KMK's Annex 1, dropping to SL can close maths, science and engineering degrees in Germany, so keeping HL is worth real effort. A tutor works on the topics that push students towards SL, usually calculus, vectors and proof, and keeps HL and SL material apart so the lessons match the papers you will sit.
Prices begin at €63 an hour and vary with the tutor type you pick (IB graduate, experienced DP teacher or specialist) and with the package. The free consultation comes first, so you see the cost for your tutor and package before you commit.
Yes. We match you with a tutor whose main subject is Analysis and Approaches, and lessons use AA questions at your level only: the two courses reward different things, and HL Paper 3 has no SL counterpart. Lessons run after school or at weekends on Central European Time.
Grades can't be promised. On average, our Maths AA students have gone from 4.0 to 5.6; the first point tends to come from cleaner algebra on the non-calculator paper, the next from practice on unfamiliar HL Paper 3 problems. Working through a recent paper together in the first lesson shows where marks disappear.
Students who start DP1 in August 2027 will follow the IB's revised maths courses, first examined in May 2029. Our tutors teach the current courses, which run until the November 2028 exams. If your child starts the new course, say so in the consultation and we will match a tutor to the syllabus their school is teaching.
Prefer a different time? Every open time is listed below, week by week.
None of these work? Email us the times that suit you and we'll find one.
Our team replies within one working day, on Central European Time.
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