Group 5 · Mathematics · 2025 syllabus
IB Mathematics: Applications and Interpretation
5
Units
44
Topics
150h
SL hours
240h
HL hours
Number and algebra
16h SL · 29h HL- SL 1.1
Number Toolkit
- SL 1.2
Exponentials & Logs
- SL 1.3
Sequences & Series
- SL 1.4
Financial Applications
- SL 1.5
Complex Numbers
- SL 1.6
Further Complex Numbers
- SL 1.7
Matrices
- SL 1.8
Eigenvalues & Eigenvectors
Functions
31h SL · 42h HL- SL 2.1
Linear Functions & Graphs
- SL 2.2
Further Functions & Graphs
- SL 2.3
Modelling with Functions
- SL 2.4
Functions Toolkit
- SL 2.5
Transformations of Graphs
- SL 2.6
Modelling with Logarithmic, Logistic & Piecewise Functions
Geometry and trigonometry
18h SL · 46h HL- SL 3.1
Geometry Toolkit
- SL 3.2
Geometry of 3D Shapes
- SL 3.3
Trigonometry
- SL 3.4
Trigonometric Identities & Equations
- SL 3.5
Voronoi Diagrams
- SL 3.6
Matrix Transformations
- SL 3.7
Vector Properties
- SL 3.8
Vector Equations of Lines
- SL 3.9
Modelling with Vectors
- SL 3.10
Graph Theory
Statistics and probability
36h SL · 52h HL- SL 4.1
Statistics Toolkit
- SL 4.2
Correlation & Regression
- SL 4.3
Non-linear Regression
- SL 4.4
Probability
- SL 4.5
Probability Distributions
- SL 4.6
Random Variables
- SL 4.7
Binomial Distribution
- SL 4.8
Normal Distribution
- SL 4.9
Combinations of Normal Distributions & Sample Mean Distributions
- SL 4.10
Poisson Distribution
- SL 4.11
Hypothesis Testing using the Chi-squared Distribution
- SL 4.12
Hypothesis Testing for Population Parameters
- SL 4.13
Transition Matrices & Markov Chains
Calculus
19h SL · 41h HL- SL 5.1
Differentiation
- SL 5.2
Further Differentiation
- SL 5.3
Integration
- SL 5.4
Further Integration
- SL 5.5
Kinematics
- SL 5.6
Differential Equations
- SL 5.7
Coupled & Second Order Differential Equations
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