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9
Modules
59
Topics
2-3
hours
Modules (9)
Resources ()
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Module 1
Rules of differentiation
Resources availableRules of differentiation This free online course covers topics related to differentiation such as the rules of differentiation and how to calculate derivatives. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Basic functions
Start TopicFunctions
Start TopicRules of differentiation
Start TopicRules for finding derivatives
Start TopicLinear combination of functions
Start TopicProduct of two functions
Start TopicQuotient of two functions
Start TopicFunction of a function
Start Topic -
Module 2
Applications of differentiation
Resources availableApplications of differentiation This free online course covers applications of differentiation such as calculating the stationary points, and the maxima and minima points. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Applications of Differentiation
Start TopicStationary Points
Start TopicMaximum or Minimum
Start TopicMaximum/Minimum Problems
Start TopicEquations of Tangents and Normals
Start TopicExamples
Start Topic -
Module 3
Factors of polynomials
Resources availableFactors of polynomialsThis free online course is an introduction to the techniques used to factorise cubic and quadratic polynomials.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Factorising polynomials
Start TopicPolynomial notation and function manipulations
Start TopicFactorising polynomials
Start TopicFactorisation process for cubics
Start TopicFactorisation process for quartics
Start TopicFactor and remainder theorems
Start TopicLong division
Start TopicSynthetic division
Start TopicFactorising polynomials: example
Start Topic -
Module 4
Straight line graphs
Resources availableStraight line graphs This free online course covers topics related to straight line graphs including graphs for polynomial functions and transformations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Activity
Start TopicGraphs of polynomial functions: the garden activity
Start TopicIntroduction
Start TopicGraphs of polynomial functions
Start TopicGraphs derived from standard graphs
Start TopicOther standard graphs
Start TopicCertain special graphs
Start TopicTransformations
Start TopicReflections
Start TopicDilations
Start TopicCombinations of transformations
Start TopicAddition of ordinates
Start TopicImportant graphs
Start TopicImportant graphs: Type 1
Start TopicImportant graphs: type 2
Start TopicImportant graphs: type 3
Start TopicImportant graphs: type 4
Start TopicGraphs of inverse functions
Start TopicGraphs of polynomial functions: examples
Start Topic -
Module 5
Graphs of circular functions
Resources availableGraphs of circular functionsThis free online course is an introduction to the equations used for graphs of circular forms.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicGraphs of the form y=Asin(a(x+b))+B and y=Acos(a(x+b))+B
Start TopicSolution of trigonometric equations
Start TopicGraphs of the form y = tan(ax)
Start TopicEquations of the form sin(ax)=B and cos(ax)=B
Start TopicEquations of the form sin(ax)=kcos(ax)
Start Topic -
Module 6
Inverse functions
Resources availableInverse functionsThis free online course is an introduction to inverse functions.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Inverse functions - many-to-one and one-to-many
Start TopicInverse functions
Start TopicFurther inverse functions
Start TopicExamples
Start Topic -
Module 7
Logarithms and index laws
Resources availableLogarithms and index laws This free online course is an introduction to logarithms and index equations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Indices and logarithms
Start TopicSolution of exponential and logarithmic equations
Start TopicExamples
Start Topic -
Module 8
The binomial theorem
Resources availableThe binomial theorem This free online course is an introduction to the binomial theorem. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Binomial theorem – Pascal's triangle
Start TopicThe binomial expansion
Start TopicThe binomial expansion - examples
Start Topic -
Assessment
Resources available
