🔢 Pan-African School – Mathematics Curriculum Tree
Level 1 – Foundations
- Number Sense & Arithmetic – integers, fractions, decimals, percents
- Pre-Algebra – factors, ratios, basic equations
- Introductory Geometry – shapes, area, perimeter, basic reasoning
- Mathematical Reasoning & Problem Solving – word problems, logical thinking
- Basic Data Literacy – reading charts, mean/median/mode
Level 2 – Core Mathematics
- Algebra I – linear equations, inequalities, functions, graphing
- Geometry – Euclidean proofs, congruence, similarity, trigonometric basics
- Algebra II – polynomials, rational expressions, complex numbers
- Trigonometry – unit circle, identities, trig equations
- Statistics & Probability – descriptive stats, probability rules, distributions
Level 3 – Applied & Intermediate
- Precalculus – advanced functions, sequences, limits introduction
- Calculus I (Differential Calculus) – limits, derivatives, applications
- Calculus II (Integral Calculus) – integrals, techniques, applications
- Linear Algebra – vectors, matrices, systems of linear equations
- Discrete Mathematics – sets, combinatorics, logic, graph basics
- Mathematical Modeling & Data Analysis – real-world modeling, regressions
Level 4 – Advanced / Specializations
- Differential Equations – ordinary DEs, applications in science & engineering
- Real Analysis – rigorous limits, continuity, sequences, series
- Abstract & Modern Algebra – groups, rings, fields
- Numerical Analysis & Computational Mathematics – approximation, algorithms
- Topology & Advanced Geometry – basic topological ideas, manifolds intro
- Probability Theory & Advanced Statistics – measure ideas, inference, Bayesian methods
- Mathematical Finance (optional) – time value of money, models, risk
- Math Research & Olympiad Prep – proofs, contest problem solving
Electives & Cross-Disciplinary Options
- Mathematics with Programming – Python for math, symbolic computation
- Math Education & Pedagogy – teaching methods, curriculum design
- Data Science Bootcamp – applied statistics, visualization, basic machine learning
- STEAM Projects – interdisciplinary projects with science & art