Mathematics: Analysis & Approaches, Standard Level
Analytical mathematics with formal techniques: algebraic manipulation, exact answers, "show that" questions, and the building blocks of calculus.
Who this course is for
For students who like algebraic argument and want a rigorous SL course. Common feeder for science, engineering, and economics where the destination expects a more theoretical foundation.
Topics covered
- Number and algebra
- Functions
- Geometry and trigonometry
- Statistics and probability
- Calculus
Across the two years
Foundations of the course are taught here. New techniques are introduced and consolidated; students sit a mock paper at the end of the year and submit a first draft of their Exploration topic.
Course content is completed by the spring of Year 13. The Exploration is finalised in the autumn term, and the rest of the year is given over to revision, past-paper practice, and the final examinations.
Assessment overview
Each course is examined externally (papers) plus an Internal Assessment (the Exploration).
External examination: 80% · Internal assessment: 20%
| Component | Duration | Weight | Calculator | What it tests |
|---|---|---|---|---|
| Paper 1 | 90 minutes | 40% | No calculator | Short and extended-response questions, no calculator. Tests algebraic fluency and exact reasoning. |
| Paper 2 | 90 minutes | 40% | GDC required | Short and extended-response questions where technology is used as a tool. |
| Internal Assessment — Exploration | approx. 20 hours over 2 years | 20% | GDC permitted | A 12–20 page mathematical exploration on a topic of the student's choice. Students develop, apply and reflect on mathematical ideas, marked against the IB criteria for presentation, communication, personal engagement, reflection, and use of mathematics. |