Mathematics AA SL

Analysis and Approaches Standard Level

##### 1 SL AA
###### Basics
• Straight lines
• Surds
• Simultaneous equations
• Factorizing
• Completing the Square
• The Vertex
• The Discriminant
###### Series and Binomials
• Arithmetic Series
• Geomrtric Series
• The Sigma Sign
• Binomial expansions

Proof

• Direct proof
##### 2 SL AA
###### Notation
• Subbing and Solving
• Domain and Range
• Composite Functions
• Functions and Relations
• Inverse Functions
###### Graphing Functions
• Transformations
• Exponents
• Logarithms
• ln and e
• Modelling
##### 3 SL AA
###### Basic Trigonometry
• Right angled trigonometry
• Basic trig graphs
• Area formula
• Sine rule
• Cosine rule
• Unit circle and exact trigonometry
###### Trigonometric Formulae
• Pythagorean identities
• Double angle

Trigonometric Graphs

• Transformations
• Modelling
###### 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
###### 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