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

Transformations with Matrices

Composite Functions

Transformations, Translation, Dilation, Reflection

Families of Functions

Power Functions - Notes
Determining Rules -  Notes

 

Polynomials

Quadratic Functions

Finding Quadratic Rules

The Language of 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

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Radian, Exact Values, Symmetry

exact_values_of_trigonometric_functions.docx
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symmetry_and_complementary_properties.docx
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Trigonometric Equations

Addition of Ordinates, Finding Rules

General Solutions, Applications

Sin & Cos Graphs - Dilations

sine graph - GeoGebra
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cos graph - GeoGebra
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Sin & Cos Graphs - All Transformations

transformation of sine graph - GeoGebra
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cos graph animated - GeoGebra
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Tan Graphs & Equations

 

OTHER FUNCTIONS

Power Functions, Odd and Even

f(x)=x^(p/q)
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Function notation and identities
Determining Rules & Literal equations

Composite & Inverse Functions
Sums & Products of Functions

 

Differential Calculus

Derivative of x^n

Chain Rule

Derivative of Circular Functions

Quotient Rule

Tangents and Normals

Using Classpad to find Tangent & Normal
File Size:	229 kb
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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

derivative_of_e^x - Geogebra
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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

finding binomial sample size using classpad calculator
File Size:	340 kb
File Type:	pdf

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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