IB Diploma Programme · Mathematics
IB Mathematics: Applications and Interpretation (AI) is the Diploma Programme course that turns mathematics towards modelling real situations and reading data, and every exam paper expects a graphic display calculator. Students in Qatar take it with us at SL or HL in live online lessons with a tutor of their own, planned around the course version and exam session ahead.
Built for students in DP1 and DP2 at Qatar's IB schools, and for MYP 5 students still choosing a Diploma maths course.
What we cover
The IB organises AI into five topics plus the exploration. Statistics and probability has the most teaching time at both levels: 36 of 150 hours at SL, 52 of 240 at HL.
Sequences and series, loans and compound interest, logarithms, and percentage error. Marks disappear when a learner rounds too early or sets the compounding period wrongly in the calculator's finance tool.
Inverses, determinants, eigenvalues and eigenvectors, applied to transition matrices that model change over time. Explaining what a steady state means in the question's story is harder than the algebra.
Linear, polynomial, exponential, sinusoidal and piecewise models, fitted to a context and tested against data; HL adds graph transformations. Marks go when a model is chosen without a reason.
Trigonometry, bearings, surface area and volume, and Voronoi diagrams for nearest-site problems. A common slip is sketching a Voronoi edge by eye when the question wants a perpendicular bisector's equation.
Vectors for position and motion, and networks: adjacency matrices, minimum spanning trees and route problems. Learners know the algorithm, then lose marks by omitting the order in which edges were chosen.
Univariate and bivariate data, regression, Spearman's rank, binomial and normal distributions, chi-squared and t-tests. The hard part is choosing the right test and phrasing the conclusion in context.
Rates of change, tangents, optimisation, and integration for areas, all set in real situations. Learners often find a derivative correctly, then forget to state its meaning, with units.
Forming differential equations from a described situation, then solving or approximating them with Euler's method, including coupled equations for two interacting quantities. Careless rounding at each step costs accuracy.
Topics the IB removes from August 2027, such as logarithms at SL and complex numbers at HL, remain examinable in 2027 and 2028.
How lessons run
Every plan starts from three facts: SL or HL, the exam session and the course version. Lessons then follow a steady cycle of finding gaps, teaching and checking.
Step 1
The tutor sets a few short questions from different topics, calculator in hand, and watches how your child works. Missing working, loose rounding and shaky statistics soon show, and they shape the plan.
Step 2
Regular, shorter lessons fit weekday evenings, which in Qatar means Sunday through Thursday; a longer Friday or Saturday session helps before mocks. Qatar keeps UTC+3 all year, so times hold steady, apart from Ramadan, when they follow each year's official timings.
Step 3
Each idea is built by hand on a simple case, carried out on the graphic display calculator, then written up with the working an examiner expects. Your child learns why a method works.
Step 4
The tutor helps your child turn a personal interest into a question mathematics can answer, explains chosen techniques and asks what a moderator would ask. Every word of the exploration stays your child's own.
Step 5
As exams approach, lessons turn to timed, paper-style questions marked as IB examiners mark: method, three significant figures, conclusions in context. Brief notes keep the family informed of progress.
Parents are free to watch any AI lesson.
The exam
Students examined in 2027 and 2028 follow the course first assessed in 2021: two papers at SL, three at HL, a graphic display calculator throughout, and the exploration worth 20%.
Exam board
International Baccalaureate (IB)
Writes and marks the exam papers. The school marks each exploration, and IB moderation then reviews those marks.
Compulsory short-response questions drawn from the whole syllabus.
How a tutor helps
Short questions reward speed and clean working. The tutor drills quick recognition of question types, efficient calculator routines and one line of method before every answer.
Compulsory extended-response questions that follow one context through several parts.
How a tutor helps
An early slip in a long question can travel forward. The tutor trains your child to read the whole context first, keep full accuracy to the end and link each part.
Two compulsory extended problem-solving questions set in unfamiliar situations.
How a tutor helps
Paper 3 rewards calm work in an unfamiliar setting. The tutor practises reading a long stem quickly, seeing where early parts lead and collecting later marks after getting stuck.
A written investigation of an area of mathematics chosen by your child.
How a tutor helps
The exploration rewards a focused question and mathematics your child fully understands. The tutor helps test ideas early, choose a technique at the right level and explain every step aloud.
The IB holds exam sessions every May and November. A Diploma begun in August is examined in May of its second year; in May 2026, the AI papers fell on 14, 15 and 20 May.
DP subjects are graded from 1 to 7, with 7 at the top. SL and HL grades carry equal weight in the points total, and a Diploma needs 24 points or more, subject to the core and other conditions.
What we look for in a tutor
A member of our team chooses each tutor for the level and exam session.
Confident well beyond the syllabus in statistics, functions and calculus, so they can explain why a test or model fits, and when it would fail.
Knows the current AI syllabus at SL and HL, the changes that begin in August 2027, and how IB markschemes award method marks.
Moves easily between regression, finance, matrix and graphing tools, and teaches your child to record results in proper mathematical notation.
Has guided explorations before, understands the IB's rules on authentic work, and gives feedback that strengthens the mathematics while the writing stays with your child.
Explains an idea two or three ways, checks understanding with a fresh question, and can teach in English or Arabic as your family prefers.
Follows safeguarding practice for lessons with children, welcomes a parent in the lesson, and keeps you informed with short, regular progress notes.
Common difficulties
Familiar sticking points in AI, at SL and at HL alike.
Answers are rounded too early or not at all, and calculator results appear with no supporting working.
How a tutor helps
The tutor builds two habits: keep full accuracy until the final line, then give three significant figures unless told otherwise, and write the method before pressing any calculator button.
Chi-squared, t-tests and correlation look alike under exam pressure, and hypotheses end up written loosely.
How a tutor helps
Your child builds a one-page decision map from the type of data and the aim of the question, then practises writing hypotheses and conclusions in the words of the context.
Students pick a fascinating theme, then find it has no clear question or needs mathematics beyond the course.
How a tutor helps
The tutor helps cut the theme down to one question with data or a model your child can handle, then checks early that the mathematics is rich enough.
Long, unfamiliar HL contexts make the first reading slow and the later parts look disconnected.
How a tutor helps
Lessons practise a quick first read, then show how later parts reuse earlier results, so your child keeps scoring after a stuck moment.
Regression and solver tools give numbers fast, and the meaning of each parameter never gets discussed.
How a tutor helps
The tutor asks what each coefficient means in the context, when the model stops being sensible, and how a different model would change the prediction.
Questions learners and parents ask
Share the level, exam session and school. A member of our team reads your message and replies with a tutor proposal.