2016 -2022 Study Design
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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
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Functions, Relations, Coordinate Geometry
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Sum, Difference and Product of Functions
Simultaneous Equations, Parameters
Combinations of Transformations
Graphing & Transformations
Determining Rules
Determining Rules - Notes
Transformations with Inverse Matrices
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Composite Functions
Transformations, Translation, Dilation, Reflection
Determining Transformations
Power Functions
Power Functions - Notes
Transformations with Matrices
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Polynomials
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Quadratic Functions
Polynomial Properties
Cubic Functions
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Determining Rules for Parabolas
Division and Factorisation of Polynomials
Higher Power Polynomials
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Finding Polynomial Rules
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Literal & Simultaneous Equations
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Exponentials and Logarithms
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Exponential Functions
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Euler's Number
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Exponential Equations
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Logarithms
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Graphing Log Functions
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Rules from Graphs or Points
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Solving Equations Using Logs
Exponential Growth & Decay (class video)
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Inverse of Exponentials and Logarithms
Exponential Growth & Decay (ShowMe)
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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
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Radian, Exact Values, Symmetry
Trigonometric Equations
Addition of Ordinates, Finding Rules
General Solutions, Applications
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Sin & Cos Graphs - Dilations
Sin & Cos Graphs - All Transformations
Tangent - Graphs & Equations
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OTHER FUNCTIONS
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Power Functions, Odd and Even
Function notation and identities
Determining Rules & Literal equations |
Composite & Inverse Functions
Sums & Products of Functions Families of Functions
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Differential Calculus
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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
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Integral Calculus
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Area Under Graph & Antidifferentiation
The Fundamental Theorem of Calculus & Area
Area Between Curves & Applications
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Antiderivative of (ax+b)^n, (ax+b)^-1, e^(kx)
Integration of Circular Functions
Motion Examples
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Probability and Statistics
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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
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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
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