--- title: "IB Maths Tutor in Germany: AA and AI, SL and HL, in English" description: "An IB maths tutor for Diploma pupils in Germany: AA and AI at SL and HL, what the KMK asks of IB maths for German universities, the grade formula, live tutoring." canonical: https://learn.modernagecoders.com/ib-maths-tutor-germany source: src/pages/ib-maths-tutor-germany.html --- > An IB maths tutor for Diploma pupils in Germany: AA and AI at SL and HL, what the KMK asks of IB maths for German universities, the grade formula, live tutoring. In short Modern Age Coders is an IB maths tutor for Diploma pupils in Germany, teaching Mathematics: Analysis and Approaches and Mathematics: Applications and Interpretation at SL and HL, live online in English. Mentors match each pupil's pace and accent, cover exam papers and the internal assessment, and teach in a group of fifteen to twenty or one to one through our IB Maths AA and AI course. Where to start ## Three courses for IB maths pupils in Germany The IB course itself, a statistics course for pupils on the AI route or with a heavy statistics topic, and a bridge for MYP pupils before the Diploma starts. [![IB Maths AA & AI course thumbnail](/images/ib-maths-aa-ai.webp) IMT / 01 IB Maths AA and AI Both IB maths courses at SL and HL: functions, calculus, statistics and probability, exam technique and the internal assessment. Open the syllabus →](/courses/ib-mathematics-aa-ai-masterclass)[![Statistics & Probability course thumbnail](/images/statistics-probability-maths.webp) IMT / 02 Statistics and probability Distributions, regression and hypothesis tests in depth, for AI pupils and for AA pupils who find the statistics topic hardest. Open the syllabus →](/courses/statistics-probability-maths-course)[![High School Mathematics course thumbnail](/images/high-school-maths.webp) IMT / 03 High school maths Algebra, functions and trigonometry secured in MYP 4 and 5, so the first Diploma year does not start with gaps. Open the syllabus →](/courses/complete-high-school-mathematics-mastery) KMK rules ## Which IB maths course does Germany accept for university entrance? The KMK, the standing conference of the Länder education ministers, first agreed in 1986 how an IB Diploma is recognised as a German university entrance qualification. The current version dates from 15 June 2023. These are its conditions, with the maths ones marked. | Condition | What the agreement says | Maths? | | --- | --- | --- | | Schooling | At least twelve years of full-time education in ascending year groups | | | Six subjects | Two languages, one natural science, one social science, a sixth from a listed set, and maths | Yes | | Which maths | Mathematics: Analysis and Approaches or Mathematics: Applications and Interpretation | Yes | | Higher Level | At least one of the three HL subjects must be a language, Mathematics, or Biology, Chemistry or Physics (from exam year 2025) | Can be | | Continuity | Every subject studied for the two years of the Diploma Programme | Yes | | Grades | At least IB grade 4 in all six subjects; one grade 3 can be balanced by a 5 in a subject of at least the same level, with 24 points in total | Yes | | Maths at SL | From the 2021 exams, AA SL or AI SL alone opens only a restricted entrance, outside maths, science and technology subjects, unless the school is listed in Annex 1 or 2 | Yes | Source: KMK, Vereinbarung über die Anerkennung des "International Baccalaureate Diploma/Diplôme du Baccalauréat International", Beschluss vom 10.03.1986 i.d.F. vom 15.06.2023, current German text with Anlage 1 as at 26 March 2026 and Anlage 2 as at 22 May 2026, read alongside the KMK's unofficial English translation, downloaded from kmk.org on 3 November 2026. Up to and including exam year 2024, the version of 24 March 2022 applies. Up to 2020 the agreement named the older courses, Mathematics SL or HL. Read the table from the bottom up and one thing is clear: in Germany, maths is not just one of six subjects. It is the only subject the agreement names twice, once as a required subject and again in a footnote on its level. A pupil who chooses Standard Level maths in the first Diploma year is making a decision that the KMK text treats as consequential for what she can study later. This is not legal or admissions advice, and we give none. The agreement is applied by universities and the Länder, and its text names an advisory committee of the KMK's Central Office for Foreign Education (ZAB) to review whether the IB still meets the criteria. If a choice of course matters for a particular degree, ask the university, and the school's IB coordinator, before the subject choice is fixed. SL or HL ## Is IB Maths SL enough to study in Germany? The footnote is short and easy to miss. Here it is in plain English, then what it means for a pupil choosing courses. ### What the footnote says In the German text, footnote 3 says that graduates who present Mathematics: Analysis and Approaches SL or Mathematics: Applications and Interpretation SL from the 2021 exam session onward can be granted only a subject-restricted entrance qualification (fachgebundener Hochschulzugang), for Fachhochschulen and universities and only for subjects outside the mathematical, scientific and technical field. The exception is graduates of the schools listed in the agreement's two annexes: for them the maths requirement counts as met and the Diploma opens general university entrance. ### What the annexes are Annex 1 lists international schools that have a separate agreement with the IBO; in the current German file it is dated 26 March 2026 and has a section for schools in Germany (Deutschland). Annex 2 lists schools abroad with the bilingual German IB. Whether your school is on the list is a question for your school, which will know. We do not reproduce the list here, because it changes and only the KMK's current file is authoritative. For a pupil the practical upshot is a three-way choice. AA HL keeps the most options open and is the hardest course. AI HL is also Higher Level and suits a pupil whose strength is modelling and statistics rather than proof. A Standard Level course is a sound choice for many pupils, especially at a listed school or with a clear plan outside the sciences, but it is a choice to make knowingly, not by default. ### AA HL Algebra, proof and calculus in depth. The heaviest load and the widest set of doors. ### AI HL Modelling, statistics and technology-led problem solving, still at Higher Level. ### AA SL or AI SL A lighter load. Check the footnote and your school's status before you settle on it. German grade ## How is an IB score turned into a German grade? German universities rank applicants by a single average grade, from 1.0 (the top) to 4.0. The KMK agreement gives a formula to turn an IB total into that grade. The formula is N = 1 + 3 · (Pmax − P) / (Pmax − Pmin), where P is the IB total, Pmax = 42 and Pmin = 24. Bonus points are added into P, and a pupil with 42, 43, 44 or 45 points is given the top grade, 1.0. The agreement adds that the average is calculated in the country where the Diploma is issued. Put the numbers in and the formula simplifies to N = 1 + (42 − P) / 6: each extra IB point improves the German average by 1/6, about 0.17. That is a straight line, and a straight line can be read in both directions. Most pupils ask "what grade do my points give?" An IB maths pupil can ask the more useful question, "how many points do I need for the grade I want?", by inverting the function: P = 42 − 6 · (N − 1). ***Points to grade, and grade back to points**Python* ``` import math def grade(points): if points >= 42: return 1.0 return 1 + 3 * (42 - points) / (42 - 24) def points_needed(target): return math.ceil(42 - 6 * (target - 1)) for p in [24, 30, 35, 36, 39, 44]: print(p, "points ->", round(grade(p), 3)) for n in [3.0, 2.3, 1.5]: p = points_needed(n) print("for", n, "or better: at least", p, "points, giving", round(grade(p), 3)) ``` It prints `24 points -> 4.0`, `30 points -> 3.0`, `35 points -> 2.167`, `36 points -> 2.0`, `39 points -> 1.5`, `44 points -> 1.0`, then `for 3.0 or better: at least 30 points, giving 3.0`, `for 2.3 or better: at least 35 points, giving 2.167` and `for 1.5 or better: at least 39 points, giving 1.5`. | IB total (with bonus) | Average grade N | | --- | --- | | 24 | 4.0 | | 30 | 3.0 | | 35 | 2.167 | | 36 | 2.0 | | 39 | 1.5 | | 42 to 45 | 1.0 | Formula and constants from the KMK IB agreement, as amended on 15 June 2023. The results are our own arithmetic. The agreement itself does not say how the result is rounded; the general KMK rules on overall grades for foreign qualifications apply, and we do not restate them here. The inverted line has a trap, and it is the lesson. For a target of 2.3 the formula gives P = 42 − 6 · 1.3 = 34.2. IB totals are whole numbers, and a higher total gives a better (smaller) grade, so the pupil needs at least 35, not 34: 34 points give 2.333, just outside the target. Rounding the wrong way is the mistake; the check is to put the answer back into the original formula. IB in Germany ## Where in Germany can pupils take the IB Diploma? We cannot give a national count: the IBO's school finder refused our request, so this page prints no total. What we can quote is AGIS (Arbeitsgemeinschaft der Internationalen Schulen in Deutschland) on its own members. In AGIS's own words, every member is an IB school with IBO authorisation running one or more of the four IB programmes; it adds that English is the shared teaching language, and that the IB Diploma, with the prescribed subject combinations, is equivalent to the German Abitur. Its directory pages list the IB Diploma Programme, or the IB generally, for member schools in Berlin, Bonn, Dresden, Düsseldorf, Frankfurt, Hamburg, Hannover and Stuttgart, among other places. Some German Gymnasien also offer the IB Diploma alongside the Abitur, according to the same directory. We mention these places only as context. We are not connected with AGIS, the IBO or any school, and no school sends pupils to us. A pupil at any IB school in Germany, or at a school abroad, learns the same course with us, because the IB syllabus is the same everywhere. | In Germany | India, winter time in Germany | India, summer time in Germany | | --- | --- | --- | | Weekday 14:15 | 18:45 | 17:45 | | Weekday 15:45 | 20:15 | 19:15 | | Saturday 12:15 | 16:45 | 15:45 | Germany is on MEZ, UTC+1, from 25 October 2026 and on MESZ, UTC+2, from 28 March 2027, as the Einheitenzeitgesetz sets out; India keeps UTC+5:30 throughout. These rows illustrate the gap only; we do not publish fixed batch times. Practice ## How do you work backwards in IB maths? Three practice tasks Our own tasks in the style of IB papers, not taken from any IB exam. Each one starts from the target and works back to the input, then checks the answer in the original condition, as the grade example above did. ### AA style: an inverse and a log equation **Task 1.** f(x) = (3x − 1) / 2. Find f−1(x) and the value of x for which f(x) = 7. *Working back:* write y = (3x − 1) / 2, so 2y = 3x − 1 and x = (2y + 1) / 3. Hence f−1(x) = (2x + 1) / 3 and f−1(7) = 15 / 3 = 5. *Check:* f(5) = 14 / 2 = 7. **Task 2.** Solve log2x + log2(x − 2) = 3. *Working back:* log2(x(x − 2)) = 3, so x(x − 2) = 8, x² − 2x − 8 = 0, (x − 4)(x + 2) = 0. *Check:* x = 4 gives log24 + log22 = 2 + 1 = 3. x = −2 is not in the domain, because log2(−2) is undefined. Only x = 4 survives. ### AI style: a model read in reverse **Task 3.** A phone battery at 18 % charges at a steady 2.5 percentage points per minute, so C(t) = 18 + 2.5t. When does it reach 80 %? *Working back:* 2.5t = 62, t = 24.8 minutes. *Check:* 18 + 2.5 · 24.8 = 80. **Then question the model.** Real batteries slow down near full, so the straight line is honest only for part of the range. In an AI paper, saying where a model stops being reasonable earns marks of its own, and the internal assessment rewards it too. **Why "check" is a step.** In task 2 the algebra produced two answers and only one was true. Working backwards finds candidates; the original condition decides. 1. **Write the target first.** f(x) = 7, a grade of 2.3, 80 % charge: name what you want before you rearrange. 2. **Undo the steps in reverse order.** The last operation done to x is the first one you undo. 3. **Put the answer back in.** Into the original equation, not the rearranged one, and reject what fails the domain or the context. Two Diploma years ## A plan for IB maths across the Diploma Our own outline for a pupil starting the Diploma in Germany in August or September, adjusted by the mentor to AA or AI and to SL or HL. | When | Focus | Alongside | | --- | --- | --- | | Year 1, first term | Number, algebra and functions | Course choice reviewed against the KMK conditions | | Year 1, second term | Calculus or statistics, by course | Internal assessment topic chosen | | Year 1, summer | Geometry and trigonometry | Exploration draft written and checked | | Year 2, autumn | Probability and the remaining topics | Internal assessment completed to the school deadline | | Year 2, spring | Mixed past-paper style practice | Timed papers, calculator and non-calculator | ### For parents The most important maths decision in the Diploma is made at the very start: the course and the level. We look at the KMK conditions with your child before that decision is fixed, and point you to the school and the university for the final word. After each mock or test, the mentor reports which topic lost the marks, in plain English. ### For pupils In every rearranged equation, write the check line. It costs ten seconds and catches the answers that are not really answers. Know your target total, then work out from the formula what it needs from maths. More maths ## Nine more courses for IB pupils in Germany Same format as the IB course: live, English only, one mentor who stays, group or individual. I ### Before the Diploma Ages 12 to 16 IMT / PRE / 01 #### Middle school maths The MYP years made solid. [Open the syllabus](/courses/comprehensive-middle-school-mathematics-mastery) IMT / PRE / 02 #### Algebra foundations Rearranging with confidence, the skill this page relies on. [Open the syllabus](/courses/algebra-foundations-masterclass) IMT / PRE / 03 #### IGCSE maths For schools that use IGCSE before the Diploma. [Open the syllabus](/courses/igcse-mathematics-mastery)II ### Alongside the Diploma Ages 16 to 19 IMT / DP / 01 #### IB Computer Science The new guide, first assessed in 2027. [Open the syllabus](/courses/ib-diploma-computer-science-course) IMT / DP / 02 #### AP Calculus Extra calculus depth for strong AA pupils. [Open the syllabus](/courses/ap-calculus-exam-prep) IMT / DP / 03 #### AP Statistics More statistics practice for AI pupils. [Open the syllabus](/courses/ap-statistics-maths-exam-prep-course)III ### Beyond HL Ages 16 and up IMT / PLUS / 01 #### University maths Calculus and linear algebra for the first year at university. [Open the syllabus](/courses/college-mathematics-complete-masterclass) IMT / PLUS / 02 #### A Level Further Maths Pure and applied depth beyond the IB syllabus. [Open the syllabus](/courses/a-level-further-maths-course) IMT / PLUS / 03 #### Competition maths Proof and problem solving for the keenest. [Open the syllabus](/courses/olympiad-competition-mathematics-mastery) How classes run ## How live IB maths tutoring works from Germany Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Classes are live video sessions of about an hour, twice a week, with a shared whiteboard and the graphing calculator or software your school uses. After school German afternoons, when the mentor in India is in the evening. Weekends Longer sessions for timed papers and internal assessment drafts. 1-on-1 Extra sessions before school deadlines and mock exams. ### IB language Command terms, notation and mark-scheme habits, in English. ### AA or AI Taught to your course and level, not a mix of both. ### Check lines Every rearrangement ends by substituting back. ### IA support Help choosing and structuring the exploration; the writing stays yours. ### Reports Topic by topic after each test or mock. ### Group or solo Fifteen to twenty pupils, or one to one. Student work ## Projects from our students Some of our older students build software alongside their maths. A selection is below; the [student labs](/student-labs) page has more. ![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp) AI and ML #### NutriLife An AI nutrition coach that reads what you eat and works you toward a target. by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app) ![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp) AI and ML #### Misti A chatbot that answers mathematics and programming questions, built and deployed by a student. by Harshit · [Open it](https://misti.modernagecoders.com) ![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp) AI and ML #### GuardianX An assistant that helps a young person recognise unsafe situations online. by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app) ![SkyCast weather forecast application screenshot](/images/projects/skycast.webp) Web app #### SkyCast A weather forecasting site with live conditions for any location. by Krish Fees ## IB maths tutoring fees in Germany Tutoring is billed monthly, eight live classes at a time. On this page the fee appears in euro, taken from the European Central Bank reference rate, while the card payment itself is in US dollars, so the converted amount your bank books can be slightly different. Free first class Free no card required - A free first class - A short diagnostic in your IB course and level - No card asked for Book it Group batch €90 a month, eight live classes - Fifteen to twenty IB pupils - One regular mentor - Two classes a week - Month to month Start here One to one €134 a month, eight live classes - One pupil, one mentor - Built around your weakest topics - Times that fit your school week Enquire What families say ## Rated 4.9 across 547 Google reviews Reviews left on Google by parents and students, copied as written. ★★★★★ "The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content." Ria Mukherjee Parent ★★★★★ "Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease." Samriddha Mondal Student ★★★★★ "One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development." Vansh Agarwal Student ★★★★★ "My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative." Sonam Oswal Parent of Dhairya ★★★★★ "Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation." Sonu Goyal Parent ★★★★★ "I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding." Ritu Kedia Parent Pupils and parents ask ## IB maths tutoring in Germany: common questions ### Can I get an IB maths tutor in Germany who teaches in English? Yes. Modern Age Coders teaches IB Mathematics: Analysis and Approaches and Applications and Interpretation, at SL and HL, live online in English to Diploma pupils in Germany, in a group or one to one. ### Are the classes in German? No. Every class is live and taught in English only, which is also the language of the IB papers. Mentors adapt to each pupil's pace and accent. ### Which IB maths course does Germany require? The KMK agreement on recognising the IB Diploma, as amended on 15 June 2023, requires maths as Mathematics: Analysis and Approaches or Mathematics: Applications and Interpretation among the six subjects. ### Is IB Maths SL accepted for German universities? The KMK text says that from the 2021 exams, AA SL or AI SL alone gives only a subject-restricted entrance qualification, for subjects outside maths, science and technology, unless the school is listed in the agreement's annexes. Ask your school and the university about your own case; we do not give admissions advice. ### How is my IB total converted into a German grade? The KMK formula is N = 1 + 3(42 - P) / (42 - 24), where P includes bonus points and totals of 42 or more give 1.0. By our arithmetic, 36 points give 2.0 and 30 points give 3.0. ### Do I need a minimum grade in maths? The agreement asks for at least IB grade 4 in each of the six subjects. One grade 3 can be balanced by a grade 5 in another subject of at least the same level, with at least 24 points overall. ### Do you help with the internal assessment? Yes, with choosing a topic, planning the maths and reviewing drafts against the criteria. The exploration must be the pupil's own work, and we teach it that way. ### What times are possible? Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. German afternoons fall in the Indian evening, by four and a half hours in winter and three and a half in summer. ### Who teaches the classes? Mentors based in India who teach IB maths live online in English. A pupil works with the same mentor throughout. ### What does it cost? Monthly fees are shown in euro on this page using the European Central Bank reference rate; the payment runs in US dollars and your bank converts it. The first class costs nothing and needs no card. Elsewhere on this site ## Related pages More for international and English-speaking pupils in Germany. ### [Coding classes in Germany](/coding-classes-in-germany) Every Germany page we have published. ### [Abitur maths in English](/abitur-maths-in-english) For pupils who sit the German Abitur instead. ### [IB Maths AA and AI course](/courses/ib-mathematics-aa-ai-masterclass) The full syllabus, topic by topic. ### [IB Computer Science](/courses/ib-diploma-computer-science-course) The other IB subject we teach. ### [How we teach](/how-we-teach) Inside a live class. ### [All courses](/courses) Everything we teach. Start here ## Book a free first IB maths class Tell us your course, AA or AI, and your level. In the first class the mentor works through a few short tasks with you, sees where your method slips, and suggests how many classes a week make sense before your next test. Want the detail first? The [IB Maths AA and AI syllabus](/courses/ib-mathematics-aa-ai-masterclass) lists every topic, and [this page on our teaching](/how-we-teach) shows a lesson. [WhatsApp us](https://wa.me/919123366161?text=Hello%20Modern%20Age%20Coders%2C%20I%20am%20an%20IB%20Diploma%20student%20in%20Germany%20and%20would%20like%20an%20IB%20maths%20tutor.%20Could%20I%20book%20a%20free%20first%20class%3F) · [+91 91233 66161](tel:+919123366161) · [connect@modernagecoders.com](mailto:connect@modernagecoders.com) Classes are live online, in English only, with mentors in India. A WhatsApp message gets the quickest reply. ### Want a class sooner? Book a priority demo A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off. [Book a priority demo](/book-demo) ## Keep exploring Modern Age Coders ### More maths tuition - [IB MYP Maths Tutor Online](/ib-myp-maths-tutor-online) - [IB Maths Tuition Online](/ib-maths-tuition-online) - [Indian Computing Olympiad Prep: ZIO, ZCO and INOI, Live Online](/indian-computing-olympiad-preparation) - [IB Maths IA Guidance](/ib-maths-ia-guidance) - [Integrated Math 1 Tutoring: Integrated Math I Help Online](/integrated-math-1-tutoring) - [IB Maths AI SL Tutor Online](/ib-maths-ai-sl-tutor-online) - [Maths Tutor in Adelaide](/maths-tutor-adelaide) - [Maths Tuition in Bristol](/maths-tuition-in-bristol) - [Maths Tutor Gold Coast](/maths-tutor-gold-coast) ### Learn more - [Abitur vs IB vs A Levels: Maths Compared for Germany](/abitur-vs-ib-vs-a-levels-maths) - [The Course Atlas: Every Coding, AI & Mathematics Course (Kids, Teens](/course-atlas) - [Learn to Think, Not Copy AI: Coding Classes in Germany](/learn-to-think-not-copy-ai-germany) - [AI Course for School Students in Germany, Taught in English](/ai-course-for-school-students-germany) ### Free resources - [AI & Machine Learning Tutorial: Basics to Deep Learning](/resources/ai-and-machine-learning) - [MLOps and Model Deployment](/resources/ai-and-machine-learning/ml-ops-and-model-deployment) - [Recurrent Neural Networks (RNN) and LSTM](/resources/ai-and-machine-learning/recurrent-neural-networks) - [Unsupervised Learning](/resources/ai-and-machine-learning/unsupervised-learning-clustering) ### From the blog - [Maths Learning Guides](/blog/topic/maths) - [IGCSE Computer Science (0478) Explained for Parents](/blog/igcse-computer-science-explained-for-parents) - [The CBSE/ICSE Gap: What Schools Aren't Teaching About Tech](/blog/cbse-icse-gap-what-schools-not-teaching-about-tech) - [Best Byju's Alternative for Kids and Teens in India (2026)](/blog/best-byjus-alternative) ### Start here - [Book a free demo class with Modern Age Coders](/book-demo) - [Real projects built by Modern Age Coders students](/student-labs) Free class[Priority demo](/book-demo)[Call us](tel:+919123366161) --- *Canonical: https://learn.modernagecoders.com/ib-maths-tutor-germany*