IB Mathematics Applications and Interpretation HL Functions
Course

IB Mathematics Applications and Interpretation HL – Functions

2.1 Straight Lines
2.2 Functions
2.3 Growth and Decay
2.4 Linear Modelling
2.5 Non-Linear Modelling
2.6 Transformations

40 Lessons

Course Materials

STRAIGHT LINES

Parallel Lines

Perpendicular Lines

Vertical Lines and Horizontal Lines

Finding Equations of Lines

General Form of a Line

Finding Gradient from an Equation

Perpendicular Bisectors

Gradient of Lines

Intercepts

FUNCTIONS

Relations and Functions

Function Notation

Domain and Range

Functions and Equations

Functional Equations

Inverse Functions

Composite Functions

GROWTH AND DECAY

Exponential Growth

Exponential Decay

Exponential Growth and Decay using Logarithms

LINEAR MODELLING

Linear Models

Interpolation and Extrapolation

Predictions

NON-LINEAR MODELLING

Quadratic Models

Direct Variation

Direct Variation - Constant of Variation

Direct Variation and Ratio

Inverse Variation

Cubic Models

Exponential Models

Trigonometric Models

TRANSFORMATIONS

Translations and Transformations

Transformation of Rational Functions

Dilations and Transformations

Stretches