
Please login to continue

Sign Up For Free
Join the Worldâ€™s Largest Free Learning Community
orThis is the name that will appear on your Certification

Forgot password?
Please enter you email address and we will mail you a link to reset your password.
98
Modules
664
Topics
1520
hours
Modules (98)
Resources ()

module 1: geometry

Module 1
Introduction to triangles
Resources availableIntroduction to triangles This free online course covers topics related to triangles. 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 to triangles
Start TopicTriangle letter names
Start TopicEquilateral triangles
Start TopicIsosceles triangles
Start TopicScalene triangles
Start TopicAcuteangled triangles
Start TopicRightangled triangles
Start TopicObtuseangled triangles
Start TopicQuiz on triangle names
Start Topic 
Module 2
Angle types
Resources availableAngle types This free online course covers topics related to angle types. 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.Angle types
Start TopicAngles in a circle
Start TopicAngles as numbers
Start TopicMeasuring angles with a protractor
Start TopicComplementary and supplementary angles
Start TopicAngles in circles, rectangles and triangles
Start TopicVertically opposite angles
Start Topic 
Module 3
Angle sizes and sums in triangles
Resources availableAngle sizes and sums in triangles This free online course covers topics related to angle sizes and sums in triangles. 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.Angle sizes and sums in triangles
Start TopicAngle sum demonstration
Start TopicPractice questions on sum of angles in a triangle
Start TopicQuiz on sum of angles in a triangle
Start TopicExterior angles of a triangle
Start TopicQuiz on exterior angles of triangles
Start Topic 
Module 4
Triangles  Similiarity and congruence
Resources availableTriangles  Similiarity and congruence This free online course covers topics related to triangles such as similarity and congruence. 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.Triangles  similarity and congruence
Start TopicQuiz on similar triangles
Start TopicCongruent triangles
Start Topic 
Module 5
Corresponding angles
Resources availableCorresponding angles This free online course is an introduction to corresponding angles over parallel lines. 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.Corresponding angles
Start TopicParallel lines
Start TopicAlternate and cointerior angles
Start TopicGeneral angles quiz
Start TopicQuiz on angles and parallel lines
Start Topic 
Module 6
Introduction to quadrilaterals
Resources availableIntroduction to quadrilaterals This free online course covers topics related to quadrilateral triangles. 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 to quadrilaterals
Start TopicEqual sides, equal angles and parallel lines
Start TopicProperties of a square
Start TopicProperties of a rectangle
Start TopicProperties of a parallelogram
Start TopicProperties of a rhombus
Start TopicProperties of a trapezium
Start TopicProperties of a kite
Start TopicProperties of basic quadrilaterals
Start TopicQuiz on properties of quadrilaterals
Start TopicProperties of an isosceles trapezium
Start TopicProperties of a rectangle
Start TopicProperties of a parallelogram
Start TopicProperties of a rhombus
Start TopicProperties of a trapezium
Start TopicProperties of an isosceles trapezium
Start TopicProperties of a kite
Start TopicProperties of basic quadrilaterals
Start Topic 
Module 7
Quadrilaterals
Resources availableQuadrilaterals This free online course covers topics related to angle size and measurement in quadrilaterals. 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.Quadrilaterals angle sum
Start TopicQuadrilaterals sum of exterior angles
Start TopicQuiz on angles in quadrilaterals
Start Topic 
Module 8
Introduction to polygons
Resources availableIntroduction to polygons This free online course is an introduction to polygons. 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 to polygons
Start TopicWhat are polygons?
Start TopicRegular polygons
Start TopicNaming of polygon types
Start TopicRotational symmetry in polygons
Start TopicLine symmetry in polygons
Start TopicQuiz on polygons
Start Topic 
Module 9
Polygons
Resources availablePolygons This free online course covers topics related to angle size in polygons. 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.Polygon interior angle sum
Start TopicRegular polygon interior angle sizes
Start TopicSum of exterior angles of polygons
Start TopicRegular polygon exterior angle sizes
Start TopicQuiz on polygon angle sizes
Start Topic 
Module 10
Geometrical solids
Resources availableGeometrical solids This free online course covers topics related to geometrical solids. 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.Geometrical solids
Start TopicPrisms
Start TopicPrisms quiz
Start TopicPyramids and cones
Start TopicSpheres, hemispheres and toruses
Start TopicQuiz on geometrical solids
Start Topic 
Module 11
Conics (elipses and hyperbolae)
Resources availableConics (elipses and hyperbolae) This free online course covers topics graphs of hyperbolae and ellipses and the transformation of hyperbolae. 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.Graphs of Ellipses
Start TopicExamples
Start TopicGraphs of Hyperbolae
Start TopicExample 1
Start TopicExample 2
Start TopicExample 3
Start TopicExample 4
Start TopicTransformations of hyperbolae
Start TopicTranslations
Start Topic 
Module 12
Transformations
Resources availableTransformations This free online course covers topics related to 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.Introduction to transformations
Start TopicTranslations, reflections and rotations
Start TopicTranslations and coordinate geometry
Start TopicTranslations and coordinate geometry quiz
Start TopicReflections
Start TopicReflections
Start TopicReflections and coordinate geometry
Start TopicRotations
Start TopicRotations and coordinate geometry
Start TopicQuiz on transformations
Start Topic 
Module 13
Geometry
Resources availableGeometryThis free online course covers topics related to geometry.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.Intersection of half planes
Start TopicFinding maximum and minimum values
Start TopicSolving linear and programming problems
Start TopicSolving linear programming problems  example
Start TopicExample part (b)
Start Topic 
module 2: probability and chance

Module 14
Summarising data
Resources availableSummarising dataThis free online course is an introduction to summarising data and covers topics such as mean, mode, median, range, and interquartile range.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.Summarising data  overview
Start TopicMode
Start TopicMean
Start TopicMedian
Start TopicMode, mean, median
Start TopicComparing mode, mean, median
Start TopicRange of data
Start TopicInterquartile range
Start TopicReview  summarising data
Start Topic 
Module 15
Frequency and graphs
Resources availableFrequency and graphsThis free online course is an introduction to data types such as nominal data, discrete data, and continuous data, and how to summarise data using frequency tables and graphs.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.Frequency and graphs  overview
Start TopicNominal data
Start TopicDiscrete data
Start TopicContinuous data
Start TopicFrequency tables with nominal data
Start TopicFrequency tables with discrete data
Start TopicFrequency tables  discrete data and summary statistics
Start TopicMean from frequency tables  discrete data
Start TopicInterpreting column graphs
Start TopicFamily size cumulative frequency
Start Topic 
Module 16
Creating a frequency table from data
Resources availableCreating aÂ frequency table from data This free online course covers types of data such as nominal, discrete and continuous data, and how to create frequency tables from data. 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.Frequency and graphs  overview
Start TopicNominal data
Start TopicDiscrete data
Start TopicContinuous data
Start TopicFrequency tables with nominal data
Start TopicFrequency tables with discrete data
Start TopicFrequency tables  discrete data and summary statistics
Start TopicMean from frequency tables  discrete data
Start TopicInterpreting column graphs
Start TopicFamily size cumulative frequency
Start Topic 
Module 17
Graphs of all kinds
Resources availableGraphs of all kindsThis free online course covers the use of different types of graphs such as pie charts, line graphs, and bar graphs.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.Graphs of all kinds
Start TopicIce cream pictograph
Start TopicColumn and bar graphs
Start TopicExamples of column graphs
Start TopicPie charts
Start TopicExamples of pie charts
Start TopicLine graphs
Start TopicTemperature line graphs
Start TopicTypes of graphs
Start TopicInterpreting column graphs
Start TopicManchester flights bar graph
Start TopicMovie line graph
Start TopicInterpretation of a sports pie graph
Start TopicReview  graphs
Start Topic 
Module 18
Introduction to probability
Resources availableIntroduction to probabilityThis free online course is an introduction to probability and how to calculate probability.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 to probability
Start TopicProbability words
Start TopicWords describing chance
Start TopicFinding probabilities theoretically
Start TopicProbability with equally likely outcomes
Start Topic 
Module 19
Odds and probability
Resources availableOdds and probabilityThis free online course covers odds and probability.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.Odds and probability
Start TopicOdds
Start TopicOdds on
Start TopicOdds and probability
Start TopicFair or unfair?
Start TopicDeciding fairness using probability
Start Topic 
Module 20
Probability and relative frequency
Resources availableProbability and relative frequencyThis free online course is an introduction to probability and relative frequency.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.Probability and relative frequency
Start TopicShortrun coin tossing
Start TopicShortrun dice rolling
Start TopicPredicting from past experience
Start TopicTowards probability with coins
Start TopicTowards probability with dice
Start TopicProbability as longrun relative frequency
Start Topic 
module 3: data distributions

Module 21
Discrete random variables
Resources availableDiscrete random variables This free online course covers topics related to random variables and discrete probability distribution. 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.Random variables
Start TopicDiscrete probability distribution
Start TopicThe mean and variance of a discrete random variable
Start TopicStandard deviation as a measure of spread
Start Topic 
Module 22
Normal distribution
Resources availableNormal distribution This free online course covers topics related toÂ random variables and the normal distributionÂ . 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.The normal curve
Start TopicContinuous random variables and the normal distribution
Start TopicCalculation of probabilities for a normal distribution
Start TopicApproximating the binomial distribution with normal distribution
Start Topic 
Module 23
Binomial distribution
Resources availableBinomial distributionThis free online course covers topics related to the binomial distribution and the binomial probability functionÂ .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 probability function and distribution
Start TopicThe number of successes in a given number of trials
Start TopicThe effect of changing the parameter p
Start TopicThe effect of changing the parameter n
Start TopicThe mean and variance of a binomial random variable
Start Topic 
Module 24
Hypergeometric distribution
Resources availableHypergeometric distributionThis free online course covers topics related to the hypergeometric distribution and calculating the mean and variance of hypergeometric distributions.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.Sampling without replacement
Start TopicThe mean of a hypergeometric random variable
Start TopicThe variance of a hypergeometric random variable
Start TopicThe mean and variance of a hypergeometric random variable example
Start TopicThe mean and variance of a hypergeometric random variable example 2
Start TopicThe formula for calculating probabilities
Start TopicCalculating probabilities
Start TopicRelationship between hypergeometric and binomial distributions
Start Topic 
module 4: statistics, correlation & regressio...

Module 25
Univariate data
Resources availableUnivariate dataThis free online course is an introduction to the types of univariate data.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 TopicTypes of data
Start TopicTypes of univariate data
Start TopicNumerical data
Start Topic 
Module 26
Univariate data 2
Resources availableUnivariate data 2This free online course is an introduction to displaying data using bar graphs and stem and leaf graphs.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.Displaying data
Start TopicBar graphs
Start TopicStem and leaf diagrams 1
Start TopicStem and leaf diagrams 2
Start Topic 
Module 27
Bivariate data
Resources availableBivariate dataThis course is an introduction to bivariate data and covers topics such as dependent and independent data, stemplots and boxplots.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 TopicDependent and independent variables
Start TopicPercentaged tables
Start TopicParallel boxplots
Start TopicBacktoback stemplots
Start TopicGraphical display of bivariate data â€“ in summary
Start Topic 
Module 28
Summary statistics
Resources availableSummary statisticsThis free online course is an introduction to statistical method such as calculating the mean, median, and mode.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.Summary statistics
Start TopicThe mean
Start TopicThe median â€“ definition
Start TopicCumulative frequency
Start TopicCumulative frequency graph
Start TopicThe mode
Start TopicAdvantages and disadvantages of the mean
Start TopicThe median for even data sets
Start TopicAdvantages and disadvantages of the median
Start TopicThe mean  example
Start TopicThe median  example
Start Topic 
Module 29
Range
Resources availableRangeThis course covers topics such as the interquartile range and creating boxplots.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.The soccer activity
Start TopicThe range
Start TopicThe interquartile range
Start TopicThe interquartile range  example 1
Start TopicThe interquartile range  example 2
Start TopicThe standard deviation
Start TopicBoxplots
Start TopicBoxplots  example
Start TopicUsing your calculator
Start Topic 
Module 30
Symmetry
Resources availableSymmetryThis free online course reviews the skewness of the distribution of data.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.Symmetry and skew of a distribution
Start TopicNegative skew
Start TopicPositive skew
Start TopicProbability intervals
Start TopicProbability interval examples
Start TopicComparing sample and population
Start Topic 
Module 31
Calculating a seasonal index
Resources availableCalculating a seasonal indexThis course covers how to calculate and interpret seasonal indices and how deseasonalise data.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.Calculating a seasonal index
Start TopicInterpreting seasonal indices
Start TopicSeasonal movements
Start TopicDeseasonalising the data
Start TopicDeseasonalising the data â€“ example
Start Topic 
Module 32
Coefficient
Resources availableCoefficientThis course covers topics such as the coefficient of determination, scatterplots, and calculating r.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.Scatterplots
Start TopicScatterplots: using your calculator
Start TopicPearson's product moment correlation coefficient, r
Start TopicCalculating r
Start TopicThe coefficient of determination
Start TopicPractice question
Start TopicStrength of association
Start Topic 
Module 33
Regression line
Resources availableRegression lineThis free online course covers topics related to the regression line.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 TopicFinding the equation of a regression line
Start TopicInterpretation of slope and intercept
Start TopicPractice question
Start TopicThe threemedian regression line
Start TopicUsing your calculator
Start TopicThe threemedian regression example
Start TopicThe threemedian regression practice questions
Start TopicThe least squares regression line
Start TopicMaking predictions from a regression line
Start Topic 
Module 34
Nonlinear data
Resources availableNonlinear dataThis course is an introduction to square, log, and reciprocal 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.Nonlinear data
Start TopicSquare transformation
Start TopicLog transformations
Start TopicReciprocal transformation
Start TopicExample 1
Start TopicExample 2
Start Topic 
Module 35
Residual analysis
Resources availableResidual analysisThis free online course is an introduction to residual analysis.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 TopicResidual analysis  part 1
Start TopicPlotting the residuals
Start TopicResidual analysis  part 2
Start TopicResidual analysis  part 3
Start Topic 
Module 36
Trends
Resources availableTrendsThis free online course covers topics such as seasonal, random, and cyclic trends.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.Trends
Start TopicCyclic patterns
Start TopicRandom patterns
Start TopicDescribing patterns in time series data
Start TopicSeasonal patterns
Start TopicSmoothing a time series
Start TopicMedian smoothing
Start TopicSmoothing using moving averages
Start TopicSmoothing  example 1
Start TopicSmoothing  example 2
Start Topic 
module 5: sequences and series

Module 37
Arithmetic sequences
Resources availableArithmetic Sequences This free online course covers topics related to arithmetic sequences.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.Arithmetic sequences
Start TopicFind a particular term in an arithmetic sequence
Start TopicHow many terms in this arithmetic sequence?
Start TopicShow that the sequence is arithmetic
Start TopicSolving arithmetic sequences simultaneously
Start TopicSumming up arithmetic sequences
Start TopicIs this an arithmetic sequence?
Start TopicExample (b)
Start TopicExample (c)
Start TopicExample (d)
Start Topic 
Module 38
Arithmetic series
Resources availableArithmetic seriesThis free online course covers the arithmetic series.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.Arithmetic series
Start TopicFinding the sum of an arithmetic series
Start TopicFinding the sum of an arithmetic sequence
Start Topic 
Module 39
Geometric sequences
Resources availableGeometric sequencesThis free online course covers topics related to geometric sequences.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.Geometric sequences
Start TopicIs this a geometric sequence?
Start TopicFind a term in an increasing geometric sequence
Start TopicFind a term in a decreasing geometric sequence
Start TopicWhich term has that value?
Start TopicExample (b)
Start TopicExample (c)
Start TopicExample (d)
Start Topic 
Module 40
Geometric series
Resources availableGeometric seriesThis free online course covers topics related to the geometric series.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.Geometric series
Start TopicInfinite geometric series
Start TopicFind the sum of an increasing geometric sequence
Start TopicFind the sum of a decreasing geometric sequence
Start TopicHow many terms until the sum exceeds 2000?
Start TopicFind the sum of an infinite geometric series
Start TopicSum a geometric series to infinity
Start Topic 
Module 41
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 â€“ Pascal's triangle
Start TopicThe binomial expansion
Start TopicThe binomial expansion  examples
Start Topic 
Module 42
Difference equations 1
Resources availableDifference equations 1This free online course covers topics related to difference 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.Applications of sequences and series
Start TopicMaking rungs for a ladder
Start TopicGrowing Town
Start Topic 
Module 43
Difference equations 2
Resources availableDifference equations 2This free online course covers topics related to difference 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.Difference equations
Start TopicGenerating a sequence from a difference equation
Start TopicDifference equations that represent arithmetic sequences
Start TopicDifference equations that represent geometric sequences
Start TopicGenerate the first 4 terms of a sequence
Start TopicGenerate the first 4 terms of another sequence
Start TopicFind a general expression for the nth term
Start TopicFind a general expression for the nth term
Start Topic 
Module 44
Difference equations 3
Resources availableDifference equations 3This free online course covers topics related number patterns.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.Other first order difference equations
Start TopicSolving difference equations
Start TopicFind a general expression for the nth term
Start TopicFind the first term from a given term
Start TopicFind the first term from the second term
Start Topic 
module 6: trigonometry

Module 45
Trigonometry 1
Resources availableTrigonometry 1This free online course covers topics in trigonometry such as the sine rule and cosine rule.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.Trigonometry introduction
Start TopicRightangled triangles
Start TopicSolving non rightangled triangles
Start TopicThe sine rule
Start TopicThe cosine rule
Start TopicThe area of a triangle
Start TopicExample
Start TopicExample 2
Start TopicCosine rule â€“ Example 1
Start TopicCosine rule â€“ Example 2
Start Topic 
Module 46
Trigonometry 2
Resources availableTrigonometry 2 This free online course covers topics related to trigonometry, including surface area and volume, and Pythagoras' 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.Pythagoras' theorem
Start TopicPythagoras in 3 dimensions
Start TopicSimilar figures
Start TopicSurface area and volume
Start TopicSimilar figures example
Start TopicSurface area and volume: example 1
Start TopicSurface area and volume: example 2
Start Topic 
Module 47
Degrees and radians
Resources availableDegrees and radians This free online course covers the conversion ofÂ radian and degree measures. 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.Exact Values
Start TopicConversions of Radian and Degree Measures
Start Topic 
Module 48
Pythagoras and bearings
Resources availablePythagoras and bearingsThis free online course is an introduction to topics related to Pythagoras.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.The tomb of Pythagoras activity
Start TopicAngles of elevation and depression
Start TopicDirections and bearings
Start TopicContour maps
Start TopicTraverse surveys
Start TopicCompass bearings
Start TopicTrue Bearings
Start TopicBearings application example
Start TopicField survey example
Start TopicField survey example continued
Start TopicBearings yachting example
Start Topic 
Module 49
Trigonometric identities
Resources availableTrigonometric identities This free online course covers topics related to reciprocal circular functions, inverse circular functions, and trigonometric identities. 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.Reciprocal Circular Functions
Start TopicInverse Circular Functions
Start TopicTrigonometric Identities
Start Topic 
Module 50
Ratio and proportion
Resources availableRatio and proportionThis free online course covers topics related to ratios and proportions.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.Ratio and proportion
Start TopicSimplifying ratios
Start TopicExpressing ratios as a percentage
Start TopicDividing quantities in a given ratio
Start TopicApplications of ratio and proportion
Start TopicMap scales
Start TopicDilution factors
Start TopicPhotography
Start TopicGears
Start TopicFinding x values in ratios
Start TopicMap scales: how far is that?
Start TopicDilution: drug strength
Start TopicPhotographing a tree
Start TopicGearing up... gearing down
Start Topic 
Module 51
Ratio and proportion gears
Resources availableRatio and proportion gearsThis free online course contains a video relating to ratio and proportion gears.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.The gears video
Start Topic 
module 7: calculus

Module 52
Rules of integration
Resources availableRules of integration This free online course covers rules for integrating 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.Antidifferentiation
Start TopicAntiderivatives of basic functions
Start TopicFinding specific functions based on given information
Start TopicIndefinite integral
Start TopicUsing related derivatives to find an integral
Start Topic 
Module 53
Integration applications
Resources availableIntegration applications This free online course covers topics related toÂ integration. 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 TopicApproximating an area
Start TopicDefinite integrals
Start TopicEvaluating a definite integral
Start Topic 
Module 54
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 55
Applications of differentiation
Resources availableApplications of differentiation This free online course covers applications of differentiation such as calculating the stationary points, andÂ 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 56
Polynomial equations
Resources availablePolynomial equations This free online course covers solutions to polynomial equations and the Fundamental Theorem of Algebra. 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.Solution of Polynomial Equations
Start TopicExample
Start TopicThe Fundamental Theroem of Algebra
Start TopicEquations
Start TopicExamples
Start Topic 
Module 57
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 58
Differentiation  Product rule
Resources availableDifferentiation  Product rule This free online course covers the product rule for antiderivatives. 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.Product Rule
Start TopicExample 1
Start TopicExample 2
Start TopicExample 3
Start Topic 
Module 59
Differential equations
Resources availableDifferential equations This free online course covers topics related to differential equations such as first order and second order differential equations and rates of changeÂ . 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 TopicOrder and degree of differential equations
Start TopicVerifying solutions
Start TopicRates of change
Start TopicRates of change  chain rule
Start TopicThe rates of change example
Start TopicFirst order differential equations  type 1
Start TopicFirst order differential equations  type 2
Start TopicSecond order differential equations
Start Topic 
Module 60
Second derivatives
Resources availableSecond derivatives This free online course covers the use of the second derivative. 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 TopicUse of the second derivative
Start TopicExamples
Start TopicSecond derivatives
Start Topic 
Module 61
Antiderivatives
Resources availableAntiderivatives This free online course covers topics related to antiderivatives such as standardÂ antiderivative types,Â hyperbolic functions, and partial fractions. 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.Review of Standard Antiderivatives
Start TopicStandard Antiderivative Types
Start TopicType 2  Hyperbolic Functions
Start TopicType 3  Partial Fractions
Start TopicExample 2
Start TopicType 5  Linear Substitution
Start Topic 
Module 62
Antiderivatives of circular functions
Resources availableAntiderivatives of circular functions This free online course covers the topic of the antiderivatives of circular 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.Type 4  Inverse Circular Functions
Start TopicExamples 1 and 2
Start TopicExamples 3 and 4
Start TopicExamples 5 and 6
Start TopicType 6  Odd and Even Powers
Start TopicOdd Powers
Start TopicEven Powers
Start Topic 
Module 63
Antiderivatives and their graphs
Resources availableAntiderivatives and their graphs This free online course covers the relationship between the graphs of functions and their antiderivatives. 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.Relationships Between Graphs of Functions and their Antiderivatives
Start TopicOriginal and Antiderivative Functions
Start TopicGraphs of Antiderivatives
Start TopicExamples 1 and 2
Start TopicExamples 3 and 4
Start TopicExamples 5 and 6
Start Topic 
module 8: functions

Module 64
Graphs
Resources availableGraphsThis free online course covers topics related to graphs such as timedistance graphs and step graphs.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.Interpreting graphs
Start TopicStep graphs
Start TopicDistancetime graphs
Start Topic 
Module 65
Straight lines
Resources availableStraight linesThis free online course covers topics related to the straight line.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.Straight line graphs
Start TopicThe general equation of a straight line
Start TopicFinding the equation of a line
Start TopicSimultaneous equations
Start TopicMethod 1  elimination
Start TopicMethod 2  substitution
Start TopicSketching linear equations
Start TopicBreak even analysis
Start TopicStraight line graphs  gradient
Start TopicFinding the gradient given the coordinates of two points
Start TopicElimination examples
Start TopicThe break even example
Start TopicSketching linear equations  example 1
Start TopicSketching linear equations  example 2
Start TopicStraight line graphs  gradient example
Start Topic 
Module 66
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 67
Power graphs
Resources availablePower graphsThis free online course is an introduction to the power graphs, and the linear representation of nonlinear graphs.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.Power graphs
Start TopicLinear representation of nonlinear graphs
Start Topic 
Module 68
Graphs of ciruclar functions
Resources availableGraphs of ciruclar 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 69
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  manytoone and onetomany
Start TopicInverse functions
Start TopicFurther inverse functions
Start TopicExamples
Start Topic 
Module 70
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 71
Inverse circular functions
Resources availableInverse circular functions This free online course covers derivatives of inverse circular 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.Derivatives of Inverse Circular Functions
Start TopicExample 2
Start TopicExample 3
Start Topic 
Module 72
Reciprocal function graphs
Resources availableReciprocal function graphs This free online course covers graphs of reciprocal 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.Graphs of Reciprocal Functions
Start TopicExample 1
Start TopicExample 2
Start TopicExample 3
Start Topic 
Module 73
Symmetry and periodicity
Resources availableSymmetry and periodicity This free online course covers topics related to symmetry and periodicity. 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.ÂUse of Symmetric, Periodic and Complementary Relationships of Circular Functions
Start TopicSymmetry Example 1
Start TopicExample 2
Start TopicExample 3
Start TopicPeriodicity
Start TopicComplementary Relationships
Start TopicComplementary Relationship Examples
Start Topic 
module 9: vectors

Module 74
Kinematics
Resources availableKinematics This free online course covers topics related to kinematics such as velocity and acceleration. 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 TopicFinding displacement from velocity
Start TopicSolving differential equations (rectilinear motion) example
Start TopicFinding acceleration or velocity from displacement
Start TopicConstant acceleration  introduction
Start TopicConstant acceleration  example 1
Start TopicVelocity time graphs  introduction
Start TopicFinding the acceleration from the velocity time graph
Start TopicFinding the distance travelled from a velocity time graph
Start TopicVelocity time graphs  example
Start TopicConstant acceleration  example 2
Start Topic 
Module 75
Motion
Resources availableMotion This free online course covers topics related to motion such as motion under a constant force and motion under a variable force. 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 TopicNewton's laws of motions
Start TopicForcesweight
Start TopicDiagram of forces
Start TopicBasic equation of motion
Start TopicResolution of forces
Start TopicHorizontal and vertical
Start TopicEquations of motion
Start TopicParallel and perpendicular to a plane
Start TopicEquations of motion
Start TopicMoving down the slope
Start TopicConnected masses
Start TopicMotion under a constant force
Start TopicMotion under a constant force  example 1
Start TopicMotion under a constant force  example 2
Start TopicMotion under a variable force
Start TopicMotion under a variable force  example 1
Start TopicMotion under a variable force  example 2
Start TopicMotion under a variable force  example 3
Start TopicMomentum and impulse
Start TopicMomentum and impulse example
Start TopicMoving up the slope
Start TopicMotion under a constant force  example 1 continued
Start TopicForcesnormal reaction
Start TopicForcesfriction
Start TopicForcestension
Start Topic 
Module 76
Resolution of forces
Resources availableResolution of forces This free online course covers topics related to resolution of forces such as static friction, and angle of friction. 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 TopicResolution of forces
Start TopicThree forces
Start TopicStatic friction
Start TopicAngle of friction
Start Topic 
Module 77
Scalar products of vectors
Resources availableScalar products of vectors This free online course covers topics such as scalar and vector resolutes, and finding the angle between two vectors. 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.Scalar and vector resolutes
Start TopicScalar resolutes
Start TopicVector resolutes
Start TopicVector resolute examples
Start TopicScalar (or dot) Product
Start TopicUsing the Dot Product in Vector Proofs
Start TopicExample 1
Start TopicFinding the Angle Between Two Vectors
Start TopicExample 2 (midpoints)
Start TopicPerpendicular Vectors
Start TopicInclination to the x or y axis
Start TopicExample 3 (midpoints)
Start TopicExample 4 (Colinear points)
Start Topic 
Module 78
Vectors
Resources availableVectors This free online course covers topics related to vectors such as parametric 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.Position vectors as functions of time (Parametric Equations)
Start TopicFinding cartesian equations from parametric equations
Start TopicExample 1
Start TopicExample 2
Start TopicCollision
Start TopicExample 3
Start TopicUsing a graphic calculator with parametric equations
Start TopicUsing a graphic calculator with two parametric equations to show a collision
Start TopicThe closest distance to a path
Start TopicExample 4
Start Topic 
Module 79
Vectors 2
Resources availableVectors 2 This free online course covers the differentiation and antidifferentiation of vectors. 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.The garden activity
Start TopicNotation used in vector calculus
Start TopicDifferentiation and anti differentiation of vectors
Start TopicExample 1
Start TopicExample 2
Start Topic 
Module 80
Vectors in 2 and 3 dimensions
Resources availableVectors in 2 and 3 dimensions This free online course covers topics related to scalars. 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.Vector Definition
Start TopicSymbols Used to Represent Vectors
Start TopicMagnitude of a Vector
Start TopicZero Vector
Start TopicSubtracting Vectors
Start TopicEqual vectors
Start TopicParallel Vectors
Start TopicVectors in Cartesian Form
Start TopicPosition Vectors
Start TopicThe Cartesian Plane
Start TopicLinear Dependence and Independence
Start TopicUnit Vector
Start TopicMultiplying by a Scalar
Start TopicLinear Dependence and Independence Example
Start Topic 
module 10: algebra

Module 81
Introduction to Algebra
Resources availableIntroduction to AlgebraThis course introduces you to algebra. It uses interactive presentation to explain the concepts. This is ideal for those learners seeking to learn how to manipulate algebraic expressions. 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 to algebra
Start TopicThe language of algebra
Start TopicAlgebraic notation
Start Topic 
Module 82
Using Formulae 1
Resources availableUsing Formulae 1Many realworld problems require a formula to be used for a solution to be achieved. This course covering using formulae to solve algebraic problems. 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.Using formulae
Start TopicThe XSIQ petrol pump
Start TopicPetrol stations
Start TopicRenting a car
Start TopicGet real rentacar deal
Start TopicSpeed examples
Start TopicSpeed
Start TopicTemperature
Start TopicTemperature examples
Start TopicTemperature converter
Start Topic 
Module 83
Using Formulae 2
Resources availableUsing Formulae 2This free online course continues the use of formulae to solve algebraic problems. 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.The using formulae speed video
Start TopicThe using formulae temperature video
Start Topic 
Module 84
Algebraic Expressions 1
Resources availableAlgebraic Expressions 1 This free online course describes and explains algebraic equations. This is extremely useful for anyone interested in mathematics. 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.Simplifying algebraic expressions without using algebra blocks
Start TopicVerifying the simplified form of an algebraic expression
Start TopicVerifying the simplification using substitution  examples
Start TopicVerifying the simplification using a spreadsheet
Start TopicAdding and subtracting terms  practice questions 1
Start TopicAdding and subtracting terms  practice questions 2
Start TopicMulitplying terms  Commutative Law
Start TopicMultiplying terms  rearranging 1
Start TopicMultiplying terms  rearranging 2
Start TopicDividing terms  rearranging 1
Start TopicDividing terms  rearranging 2
Start TopicAdding and subtracting like terms without using algebra blocks
Start Topic 
Module 85
Algebraic Expressions 2
Resources availableAlgebraic Expressions 2This free online course continues algabraic expressions. It covers expanding and simplifying algebraic 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.Expanding and simplifying algebraic expressions
Start TopicDistributive Law  algebra blocks
Start TopicDistributive Law  expansion
Start TopicExpanding and collecting like terms
Start TopicExpanding and simplifying algebraic expressions
Start Topic 
Module 86
Algebraic Fractions 1
Resources availableAlgebraic Fractions 1This free online course introduces algebraic fractions. It carefully explains the concepts and introduces basic operations, such as addition and subtraction. 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 to algebraic fractions
Start TopicAdding simple algebraic fractions
Start TopicSubtracting algebraic fractions
Start TopicFractions with letters in the denominators
Start TopicBinomials in denominator
Start TopicSpeed and algebraic fractions
Start TopicThe faster car takes less time
Start TopicCalculating the time difference
Start TopicAdding and subtracting algebraic fractions  practice questions
Start Topic 
Module 87
Algebraic Fractions 2
Resources availableAlgebraic Fractions 2This free online course continues the lessons on algebraic fractions. 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 algebraic expressions
Start TopicFactorising algebraic expressions
Start TopicHighest common factor
Start TopicMore complex highest common factors
Start TopicFactorising algebraic expressions  practice questions
Start Topic 
Module 88
Algebraic Fractions 3
Resources availableAlgebraic Fractions 3This free online course continues the lessons on algabraic fractions. 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 algebraic expressions  grouping
Start TopicGrouping two and two
Start TopicGrouping three terms and one term
Start Topic 
Module 89
Terminology for Algebraic Expressions
Resources availableTerminology for Algebraic ExpressionsThis course covers the terminology used when talking about and explaining algebraic equations. This is extremely useful for anyone interested in mathematics. 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.Terminology for algebraic expressions
Start Topic 
Module 90
Binomial Expressions 1
Resources availableBinomial Expressions 1This free online course introduces you to binomial expressions. 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 expressions
Start TopicBinomial expansions with like and unlike terms
Start TopicBinomial expansions
Start TopicBinomial expansions and areas
Start TopicUsing binomial expansions for problem solving
Start TopicBinomial expansions  reminder
Start TopicBinomial expansion with two variables
Start TopicBinomial expansions  practice questions
Start Topic 
Module 91
Binomial Expressions 2
Resources availableBinomial Expressions 2This interactive mathematics course continues the lessons on binomial expressions. 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 expansions with perfect and nonperfect squares
Start TopicBinomial expansions with nonperfect squares
Start TopicExpanding perfect squares  practice questions
Start TopicBinomial expansions with perfect squares
Start TopicBinomial expansions with perfect squares
Start Topic 
Module 92
Binomial Expressions 3
Resources availableBinomial Expressions 3This free online course continues the lessons on binomial expressions. 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 expansions  Difference of perfect squares
Start TopicDifference of perfect squares (DOPS)
Start TopicExpanding and simplifying algebraic expressions  practice questions
Start TopicExpanding using the difference of perfect squares rule
Start TopicDifference of perfect squares rule
Start TopicDifference of perfect squares
Start Topic 
Module 93
Completing the Square
Resources availableCompleting the SquareThis online course covers completing the square. It features hints and tips for expanding square algebraic expressions. 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.Completing the square
Start TopicFactorising quadratic trinomials using the method of completing the square
Start TopicProcess to factorise a quadratic trinomial by the method of completing the square
Start Topic 
Module 94
Perfect Squares
Resources availablePerfect SquaresThis free interactive course covers hints and tips for completing perfect squares. 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.Using the difference of perfect squares 1
Start TopicUsing the difference of perfect squares 2
Start TopicFactorising using the difference of perfect squares (DOPS) expressions
Start Topic 
Module 95
Quadratic Trinomials
Resources availableQuadratic TrinomialsThis section covers quadratic trinomials. If you thought binomials were heavy, wait until you see this one!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.What are quadratic trinomials?
Start TopicFactorising the general form by inspection
Start TopicFactorising quadratic trinomials
Start TopicFactorising algebraic expressions  quadratic trinomials
Start TopicFactorising quadratic trinomials
Start TopicFactorising quadratic trinomials
Start TopicFactorisation of quadratic trinomials
Start Topic 
Module 96
Substitution into Algebraic Expressions
Resources availableSubstitution into Algebraic ExpressionsWhen pronumerals are replaced by numbers or expressions, the process is called substitution. This course covers substitution. 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.Substitution into algebraic expressions
Start Topic 
Module 97
Summary of Factorisation
Resources availableSummary of FactorisationThis course summarises the processes and procedures of factorisation. This provides great help in solving algebraic problems. 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.Summary of factorisation
Start TopicPractice question  Sally's patio
Start TopicPractice question  in the swim with algebra
Start TopicPractice question  algebra can be fishy
Start Topic 
assessment

Assessment
Resources availableAssessment Score 80% or more in the assessment and you can obtain a Diploma parchment for this course.Diploma in Mathematics Assessment
Start Assessment