Develops logical reasoning and structured problem-solving through algebra, functions, statistics, and calculus.
Covers number & algebra, trigonometry, probability, modelling, and real-world applications.
Prepares students for IB Paper 1, Paper 2, and Internal Assessment with structured, criterion-based training.
Analysis and Approaches (Standard Level) is designed for students who seek a strong analytical foundation in mathematics and enjoy developing rigorous problem-solving skills. The course builds fluency in algebra, functions, trigonometry, statistics, probability, and calculus, with emphasis on logical reasoning, precise mathematical communication, and conceptual depth.
Students strengthen their ability to generalise, model, interpret results, and construct structured solutions — preparing them for university pathways such as economics, business, sciences, and engineering foundations.
| Topic Area | Focus of Study |
|---|---|
| Number & Algebra | Exponents, sequences & series, logarithms, binomial expansion, financial mathematics |
| Functions | Function concepts, transformations, composite & inverse functions, polynomial, exponential & logarithmic models |
| Geometry & Trigonometry | Radians, trigonometric identities, sine & cosine rule, vectors, coordinate geometry |
| Statistics & Probability | Statistical measures, regression, probability rules, binomial & normal distribution |
| Calculus | Differentiation, optimization, integration, area under curves |
| Component | Description | Duration | Calculator | Weightage |
|---|---|---|---|---|
| Paper 1 | Analytical short-answer questions testing algebraic fluency, reasoning, and exact working. | 1 hr 30 min | Not Allowed | 40% |
| Paper 2 | Application-based short-answer questions focusing on modelling, statistics, and interpretation. | 1 hr 30 min | Required | 40% |
| Internal Assessment (Mathematical Exploration) |
Individual investigation demonstrating independent inquiry, reflection, and mathematical communication. | Conducted Internally | Technology Permitted | 20% |
At Ekkhum, our approach integrates structured concept mastery, exam-focused training, and criterion-aligned preparation to ensure students not only understand mathematics deeply but perform with measurable precision in IB assessments.