Course Overview
Mathematics: Analysis and Approaches (AA) is intended for students with a strong affinity for abstract mathematics. It prioritizes algebraic reasoning, calculus, and formal proofs over applied uses. The curriculum is structured around five core topics:
- Number & Algebra
- Functions
- Geometry & Trigonometry
- Statistics & Probability
- Calculus
AA is available at both Standard Level (SL) and Higher Level (HL):
- SL: ~150 teaching hours, building a solid theoretical foundation.
- HL: ~240 teaching hours, delving deeper into calculus, proofs, and vector geometry.
Key Skills Developed
Students in AA refine a variety of essential mathematical competencies:
- Proficient algebraic manipulation
- Mastery over functions, including exponentials and logs
- Logical geometric reasoning and trigonometry
- Understanding probability and data analysis
- Advanced differential and integral calculus, with an emphasis on proofs (especially HL)
- Competency in technology use, like graphing calculators and dynamic software
- Clarity in mathematical communication and proof-writing techniques
