Curriculum Map
The 5 Syllabus Topics in AI SL
Every topic emphasizes real-world application, technology, and interpretation over theoretical proof.
Topic 1
Number & Algebra
- Standard Form & Percentage Errors
- Arithmetic & Geometric Sequences
- Financial Mathematics: Compound Interest & Depreciation
- Loan Amortization & Annuity Schedules
- Systems of Linear Equations in Context
Explore Topic 1 Guides
Topic 2
Functions & Modelling
- Linear Models & Direct Interpretation
- Quadratic Functions: Vertex & Trajectory Models
- Exponential Growth & Decay (Half-Life)
- Power Models & Inverse Variation
- Model Selection, Boundaries & Prediction
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Topic 3
Geometry & Trigonometry
- 3D Solids: Cones, Spheres & Pyramids
- Sine & Cosine Rules (Bearings & Triangulation)
- Voronoi Diagrams: Sites, Edges & Vertices
- Toxic Waste Site Problem (Largest Empty Circle)
- Nearest-Neighbor Spatial Interpolation
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Topic 4
Statistics & Probability
- Sampling Methods & Bias Evaluation
- Bivariate Regression: Pearson's \(r\) & Line of Best Fit
- Spearman's Rank Correlation Coefficient (\(r_s\))
- \(\chi^2\) Two-Way Independence Tests & \(p\)-Values
- \(\chi^2\) Goodness of Fit Test
- Normal Distribution & Binomial Distribution
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Topic 5
Calculus
- Derivative as an Instantaneous Rate of Change
- Differentiation of Polynomial Functions
- Tangents, Normals & Local Maxima/Minima
- Practical Optimization Problems
- Trapezoidal Rule for Numerical Area Estimation
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AI SL Assessment Structure
Paper 1 (External)
40% · 90 Minutes · 80 Marks
Compulsory short-response questions covering all five topics. Graphing Calculator (GDC) required throughout.
Paper 2 (External)
40% · 90 Minutes · 80 Marks
Extended response questions emphasizing multi-step real-world modeling and interpretation. GDC required throughout.
Internal Assessment (IA)
20% · Mathematical Exploration
An individual 12–20 page investigation assessed internally against criteria A–E. Read the IA guide →