Mathematics AA SL
Analysis and Approaches Standard Level
Number and Algebra
Basics
- Straight lines
- Surds
- Simultaneous equations
Quadratics
- Factorizing
- Completing the Square
- Quadratic Formula
- The Vertex
- The Discriminant
Series and Binomials
- Arithmetic Series
- Geomrtric Series
- The Sigma Sign
- Binomial expansions
Proof
- Direct proof
Functions
Notation
- Subbing and Solving
- Domain and Range
- Composite Functions
- Functions and Relations
- Inverse Functions
Graphing Functions
- Transformations
Logarithms and Exponentials
- Exponents
- Logarithms
- ln and e
- Modelling
Geometry and Trigonometry
Basic Trigonometry
- Right angled trigonometry
- Basic trig graphs
- Area formula
- Sine rule
- Cosine rule
Unit Circle and Radians
- Radian measure
- Unit circle and exact trigonometry
Trigonometric Formulae
- Pythagorean identities
- Double angle
Trigonometric Graphs
- Transformations
- Modelling
Statistics and Probability
Statistics
- Data and central tendency
- Quartiles and Boxplots
- Correlation and regression
Probability
- Probability
- Venn diagrams
- Formulae
- Trees and conditional probability
Discrete Distributions
- Tables and functions
- Binomials
Normal Distributions
- Normal distributions
- Inverse normal distributions
Calculus
Differentiation Introduction
- Simple differentaion
- Tangents and normals
Differentation Techniques
- Chain rule
- Product rule
- Quotient rule
- Functions
Stationary Points
- Local maximum and minimum
- Optization
- Inflexion and concavity
Integration and Area
- Anti differentiation
- Definite integration
- Bounded area
Integration Techniques
- Substitution basics
- Substitution challenging
Kinetics
- Kinetics