IB Math Analysis and Approaches Standard Level (AA SL)

00
Pre Course
  • Straight lines
  • Surds
  • Right angled trigonometry
  • Non right angled triangle formulae

01

Algebra and Number
  • Basic quadratics
  • Completing and Square
  • Quadratic Discriminat
  • Exponentials
  • Logarithms
  • Sequences and series
  • Binomial Expansions


02

Functions
  • Relations and functions
  • Notation
  • Domain and range
  • Composite functions
  • Inverse functions
  • Transformations of functions
03
Trigonometry
  • Radian measure
  • Arc and sectors
  • Unit circle and special angle ratios
  • Pythagorean identity
  • Sine and cosine graphs
  • Periodic behaviour and modelling
  • Tangent function
  • Trigonometric equations and identities
  • Double angle identities

04

Proof
  • Proof by deduction
  • Proof by equivalence

05

Statistics and Probability
  • Averages
  • Types of data
  • Frequency tables
  • Diagrams: box and whisker and cumulative frequency
  • Variance and standard deviation
  • Sampling methods
  • Bivariate statitistics
  • Simple probability
  • Venn diagrams
  • Probability laws: independence, dependent, conditional.
  • Tree diagrams
  • Discrete probability distributions
  • Binomial distribution
  • Normal distribution
06
Differentiation
  • Differentiation rules
  • Chain, product and quotient rules
  • Tangents and normals
  • Increasing and decreasing
  • Stationary points
  • optimisation
  • Inflection points

07

Integration
  • Anti differentiation
  • Definite integrals
  • Area
  • Bounded area
  • Substitution