Group 5: Mathematics
Free IB Mathematics: Analysis and Approaches HL notes, including proof, complex numbers, vectors, advanced probability, calculus, and differential equations.
Syllabus coverage
Work through the course in order or jump directly to the area you need to revise. Each public topic guide includes a clear introduction, a worked example, a complete unit outline, and links to the formulas used.
Number and Algebra is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Introduction to Number and Algebra, Sequences and Series, Laws of Exponents and Logarithms, The Binomial Theorem with Positive Integer Exponents, Mathematical Proof and 7 more units, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
12 units · 23 lessons
Functions is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Introduction to Functions, The Concept of a Function, Composite and Inverse Functions, Transformations of Graphs, Quadratic Functions and 4 more units, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
9 units · 17 lessons
Geometry and Trigonometry is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Introduction to Geometry and Trigonometry, 3D Geometry and Mensuration, The Sine Rule and Cosine Rule, Radian Measure and the Unit Circle, Trigonometric Identities and Graphs and 6 more units, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
11 units · 21 lessons
Statistics and Probability is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Introduction to Statistics and Probability, Sampling and Presenting Data, Measures of Central Tendency and Dispersion, Correlation and Regression, Probability Fundamentals and 5 more units, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
10 units · 18 lessons
Calculus is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Introduction to Calculus, Limits and Differentiation from First Principles, The Derivative and Rates of Change, Tangents, Normals and Optimisation, The Chain, Product and Quotient Rules and 9 more units, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
14 units · 27 lessons
Internal Assessment is a core part of IB Mathematics: AA HL. This guide connects the syllabus ideas behind Internal Assessment Guide, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
1 units · 4 lessons
Assessment
Math AA HL combines external written examinations with an internally assessed mathematical exploration. It includes the SL foundations plus substantial additional higher-level content.
Assessment arrangements can change. Confirm dates, paper conditions, permitted technology, and weighting with your school and the official awarding body before an examination.
Free interactive reference
A searchable IB Math AA HL formula booklet with core and higher-level formulas, definitions, annotations, and clear KaTeX typesetting.
Open the full reference →Reviewed by the Study to Learn editorial team · Updated 2026-07-24