|
Topics
Click to jump to Videos and resources on the topic Functions, Relations, Coordinate Geometry Polynomials Exponentials and Logarithms Circular Functions Other Functions Differential Calculus Integral Calculus Probability & Statistics |
Exam Resources
Access the Exam Resource Page HERE
|
Functions, Relations, Coordinate Geometry
|
Sum, Difference and Product of Functions
Simultaneous Equations, Parameters
Combinations of Transformations
Graphing & Transformations
Determining Rules
Determining Rules - Notes
Transformations with Inverse Matrices
|
Composite Functions
Transformations, Translation, Dilation, Reflection
Determining Transformations
Power Functions
Power Functions - Notes
Transformations with Matrices
| ||||
Polynomials
|
Quadratic Functions
Polynomial Properties
Cubic Functions
|
Determining Rules for Parabolas
Division and Factorisation of Polynomials
Higher Power Polynomials
|
|
Finding Polynomial Rules
|
Literal & Simultaneous Equations
|
Exponentials and Logarithms
|
Exponential Functions
|
Euler's Number
|
|
|
|
|
Exponential Equations
|
Logarithms
|
|
| ||||
|
Graphing Log Functions
|
Rules from Graphs or Points
|
|
Solving Equations Using Logs
Exponential Growth & Decay (class video)
|
Inverse of Exponentials and Logarithms
Exponential Growth & Decay (ShowMe)
|
GeoGebra Classic
Circular Functions
Some animations require GeoGebra Classic
It can be downloaded at https://www.geogebra.org/download
Some animations require GeoGebra Classic
It can be downloaded at https://www.geogebra.org/download
|
Radian, Exact Values, Symmetry
Trigonometric Equations
Addition of Ordinates, Finding Rules
General Solutions, Applications
|
Sin & Cos Graphs - Dilations
Sin & Cos Graphs - All Transformations
Tangent - Graphs & Equations
| ||||||||||||
OTHER FUNCTIONS
|
Power Functions, Odd and Even
Function notation and identities
Determining Rules & Literal equations |
Composite & Inverse Functions
Sums & Products of Functions Families of Functions
| ||
Differential Calculus
|
Derivative of x^n
Chain Rule
Derivative of Circular Functions
Quotient Rule
Tangents and Normals
Stationary Points
Families - Finding Rules
keep an eye out for my error in this one the good news is it gets fixed |
Graph of Derivative, Differentiability
Derivative of e^x and Ln x
Product Rule
Limits and Continuity
Rates of Change
Maximum & Minimum Problems
| ||||
Integral Calculus
|
Area Under Graph & Antidifferentiation
The Fundamental Theorem of Calculus & Area
Area Between Curves & Applications
|
Antiderivative of (ax+b)^n, (ax+b)^-1, e^(kx)
Integration of Circular Functions
Motion Examples
|
Probability and Statistics
|
Probability Basics - Sample Space, Conditional, Karnaugh map, Independent events
Binomial Probability Distribution - Formula, Graph, Expectation Value, Variance
Continuous Random Variables - Mean, Percentiles, Median
Normal Distribution - Definitions, Symmetry, 68-95-99.7% Rule
Population and Samples - Population proportion, Sample proportion, Distribution of sample proportion
|
Discrete Random Variables - probability distribution, expectation value, mean, variance
Binomial Probability Distribution - Sample size
Continuous Random Variables - Measures of Spread, Variance, IQR, Standard Deviation
Normal Distribution - Calculating Probabilities, Approximation to the Binomial Distribution
Distribution of Sample Proportion - Point & Interval estimates, Confidence intervals, Precision, Margin of Error
| ||||