IB Mathematics: Analysis and Approaches (SL/HL) is designed for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. The course is ideal for those who wish to pursue studies in mathematics, engineering, physics, or other math-intensive fields.
Course Content
- Algebra: Sequences and series, exponents and logarithms, binomial expansion, and polynomials.
- Functions: Types of functions, transformations, inverses, composite functions, and modeling.
- Trigonometry: Identities, equations, functions, and applications including radians and circular measure.
- Calculus: Limits, differentiation, integration, optimization, and applications to real-world problems (HL: advanced calculus and series).
- Statistics & Probability: Descriptive statistics, probability distributions, statistical inference, and hypothesis testing.
- Mathematical Reasoning: Logic, proof, induction, and the language of mathematics.
- HL Only Topics: Deeper exploration of all core topics, advanced proof, and further calculus.
- Internal Assessment (IA): Personalized project—exploring a mathematical topic of interest, with advisor guidance for idea selection, research, structure, and writing.
Exam Structure
- SL: Paper 1 (no calculator), Paper 2 (calculator), Internal Assessment (20%)
- HL: Paper 1 (no calculator), Paper 2 (calculator), Paper 3 (HL only, extended problem-solving), Internal Assessment (20%)
- Questions include short answer, extended response, and real-life problem applications
Skills Developed
- Analytical and abstract mathematical reasoning
- Precise argument construction and mathematical proof
- Advanced problem-solving skills in calculus and algebra
- Data analysis and statistical interpretation
- Ability to model and solve real-world mathematical problems
- Effective use of mathematical technology (graphing calculators, etc.)
Who Should Take IB Math AA?
- Students aiming for STEM majors: mathematics, engineering, physics, computer science, economics, etc.
- IB Diploma candidates seeking a rigorous, traditional mathematics pathway
- Learners wanting to develop deep theoretical understanding and strong analytical skills
College Credit
Many U.S. colleges grant credit or advanced placement for high scores in IB Mathematics: Analysis & Approaches (AA) SL or HL. This can satisfy introductory college mathematics or calculus course requirements, enabling students to progress to higher-level mathematics, engineering, or STEM courses earlier in their college curriculum.
- SL (Standard Level): Often qualifies for credit in precalculus or introductory calculus.
- HL (Higher Level): Often qualifies for credit in first- or second-semester college calculus, depending on the institution.
Tips for Success
- Practice problems regularly and review mistakes thoroughly
- Memorize key formulae, but focus on understanding underlying concepts
- Prepare for the Internal Assessment early and choose a topic you find intriguing
- Work on timed mock exams to build speed and confidence
- Seek feedback on your written explanations and IA drafts
