Mathematics AI SL
Applications and Interpretations Standard Level
Number and Algebra
Basics
- Straight lines
- Simultaneous equations
Number
- Rounding
- Scientific Noatation
- Percentage Error
Quadratics
- Factorizing
- Completing the Square
- Quadratic Formula
- The Vertex
Index Rules
- Indices rules
- Indices questions
Series
- Arithmetic Series
- Geomrtric Series
Basics
- Straight lines
- Simultaneous equations
Number
- Rounding
- Scientific Noatation
- Percentage Error
Quadratics
- Factorizing
- Completing the Square
- Quadratic Formula
- The Vertex
Index Rules
- Indices rules
- Indices questions
Series
- Arithmetic Series
- Geomrtric Series
Functions
Notation
- Subbing and Solving
- Domain and Range
- Functions and Relations
- Inverse Functions
Logarithms and e
- Exponents
- Logarithms
- ln and e
Modelling
- Quadratic and Cubic
- Power Functions
- Exponential Functions
- Sinusoidal Functions
Financial Maths
- Compound Interest
- Loans
- Annunities
Geometry and Trigonometry
Basic Trigonometry
- Right angled triangles
- Basic trig graphs
- Area formula
- Sine rule
- Cosine rule
Basic Shape
- Area and Surface Area
- Volume
Arcs and Sectors
- Length of arcs
- Area of sectors
Trigonometric Graphs
- Transformations
- Modelling
4 SL AI
Statistics and Probability
Statistics
- Data and Central Tendency
- Quartiles and Boxplots
- Correlation and Regression
- Mean and Variance
Probability
- Probability
- Venn diagrams
- Formulae
- Tree diagrams and condiontal probability
Distributions
- Binomial distributions
- Normal distributions
Hypotheses testing
- Spearmans Rank
- Chi Squared Independence
- Chi Squared Goodness of Fit
- t-tests
5 SL AI
Calculus
Differentiation Introduction
- Simple differentiation
- Tangents and normals
Stationary Points
- Local maximum and minimum
- Optimization
Integration and Area
- Anti-differentiation
- Definite integration
- Bounded area
- Trapeziodal rule