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
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
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