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