Course Overview: IBDP Mathematics Analysis & Approaches (HL/SL)
Mathematics: Analysis and Approaches (AA) is a rigorous two-year pre-university course designed for students who enjoy the thrill of mathematical proof, abstract reasoning, and analytical problem-solving. It provides a traditional foundation in mathematics, emphasizing algebraic methods and deep conceptual understanding.
1. Year 1: Foundations & Core Concepts The first year focuses on building a strong algebraic and functional foundation, bridging the gap between previous studies and advanced IB mathematics.
- Number & Algebra: Mastering sequences and series, logarithms, and binomial expansion. HL students begin exploring complex numbers and proof by induction.
- Functions: Investigating linear, quadratic, and rational functions, including transformations and modeling.
Geometry & Trigonometry: Developing circular functions, identities, and 3D geometry. - Introduction to Calculus: Beginning the journey into limits and basic differentiation.
2. Year 2: Advanced Analysis & Assessment
The second year dives into complex applications and the core requirements for the final diploma.
- Advanced Calculus: Covering integration techniques, kinematics, and volumes of revolution. HL students explore differential equations and Maclaurin series.
- Statistics & Probability: Analyzing bivariate data, normal distributions, and discrete random variables.
- The Internal Assessment (IA): Students complete a Mathematical Exploration—a 12–20 page individual investigation on a topic of personal interest, worth 20% of the final grade.
- Exam Preparation: Intense revision focusing on Paper 1 (Non-Calculator) and Paper 2 (Calculator).
3. Assessment Structure
Standard Level (SL
The SL assessment is designed to evaluate core mathematical understanding through two external examinations and one internal assessment component.
Paper 1 (90 minutes | 40%)
Section A: Short-response questions
Section B: Extended-response questions
Calculator use: Not permitted
Paper 2 (90 minutes | 40%)
Section A: Short-response questions
Section B: Extended-response questions
Calculator use: Graphic Display Calculator (GDC) required
Internal Assessment (IA) (20%)
An individual mathematical investigation 12–20 pages in length
Higher Level (HL)
The HL assessment is more rigorous and includes an additional examination focused on advanced problem-solving and investigative skills.
Paper 1 (120 minutes | 30%)
Section A: Short-response questions
Section B: Extended-response questions
Calculator use: Not permitted
Paper 2 (120 minutes | 30%)
Section A: Short-response questions
Section B: Extended-response questions
Calculator use: Graphic Display Calculator (GDC) required
Paper 3 (60 minutes | 20%)
Two extended, multi-part investigation-style questions
Calculator use: Graphic Display Calculator (GDC) required
Internal Assessment (IA) (20%)
An individual mathematical investigation 12–20 pages in length
4. Who Should Choose This Course?
- Standard Level (SL): Recommended for students planning to study subjects with a moderate mathematical demand, such as Economics, Chemistry, or Psychology.
- Higher Level (HL): Essential for those pursuing STEM fields, including Engineering, Physics, Computer Science, or Pure Mathematics at top-tier universities.
