Overview
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
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
Advisor Selection Process
- Top University Advisors: All instructors are graduates of top 100 U.S. universities, with high scores in IB Math and other standardized exams. They deeply understand the IB structure and assessment.
- Trial Teaching & Workshop: Every instructor passes FenDoDo’s internal trial class and teaching workshop for quality assurance.
- One-on-One Customized Instruction: Advisors provide individualized lesson plans to address each student’s strengths, weaknesses, and academic goals—no barriers of geography or time zone.
- Platform Support: FenDoDo tracks student progress and assists advisors in lesson planning for maximum improvement and outcome.
Class Process
- Personal Google Meet link/code for each class session
- Google Classroom for assignments, notes, and recordings
- Pre-class teaching plan tailored to the student’s needs
- Advisor must keep camera on; all lessons recorded for transparency and review
- Session recordings and resources are uploaded for unlimited access and review
- After each class, advisors submit a Teaching Log documenting hours, progress, and follow-up
- Homework, quizzes, and IA drafts are tracked and commented on in Google Classroom
- Regular feedback surveys and advisor evaluations for continuous quality improvement
