Mathematics AI SL

Applications and Interpretations Standard Level

##### 1 SL AI
###### Number and Algebra

Basics

• Straight lines
• Simultaneous equations

Number

• Rounding
• Scientific Noatation
• Percentage Error

• Factorizing
• Completing the Square
• The Vertex

Index Rules

• Indices rules
• Indices questions

Series

• Arithmetic Series
• Geomrtric Series

Basics

• Straight lines
• Simultaneous equations

Number

• Rounding
• Scientific Noatation
• Percentage Error

• Factorizing
• Completing the Square
• The Vertex

Index Rules

• Indices rules
• Indices questions

Series

• Arithmetic Series
• Geomrtric Series
##### 2 SL AI
###### Notation
• Subbing and Solving
• Domain and Range
• Functions and Relations
• Inverse Functions
• Exponents
• Logarithms
• ln and e
###### Modelling
• Quadratic and Cubic
• Power Functions
• Exponential Functions
• Sinusoidal Functions

Financial Maths

• Compound Interest
• Loans
• Annunities
##### 3 SL AI
###### 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
##### 4 SL AI
###### 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
##### 5 SL AI
###### 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