Diploma in Mathematics

Modules List( 98 )

• Module 1: Geometry
• Module
  1 Introduction to triangles
  • Introduction 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 Topic
  • Triangle letter names
    Start Topic
  • Equilateral triangles
    Start Topic
  • Isosceles triangles
    Start Topic
  • Scalene triangles
    Start Topic
  • Acute-angled triangles
    Start Topic
  • Right-angled triangles
    Start Topic
  • Obtuse-angled triangles
    Start Topic
  • Quiz on triangle names
    Start Topic
• Module
  2 Angle types
  • Angle 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 Topic
  • Angles in a circle
    Start Topic
  • Angles as numbers
    Start Topic
  • Measuring angles with a protractor
    Start Topic
  • Complementary and supplementary angles
    Start Topic
  • Angles in circles, rectangles and triangles
    Start Topic
  • Vertically opposite angles
    Start Topic
• Module
  3 Angle sizes and sums in triangles
  • Angle 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 Topic
  • Angle sum demonstration
    Start Topic
  • Practice questions on sum of angles in a triangle
    Start Topic
  • Quiz on sum of angles in a triangle
    Start Topic
  • Exterior angles of a triangle
    Start Topic
  • Quiz on exterior angles of triangles
    Start Topic
• Module
  4 Triangles - Similiarity and congruence
  • Triangles - 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 Topic
  • Quiz on similar triangles
    Start Topic
  • Congruent triangles
    Start Topic
• Module
  5 Corresponding angles
  • Corresponding 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 Topic
  • Parallel lines
    Start Topic
  • Alternate and co-interior angles
    Start Topic
  • General angles quiz
    Start Topic
  • Quiz on angles and parallel lines
    Start Topic
• Module
  6 Introduction to quadrilaterals
  • Introduction 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 Topic
  • Equal sides, equal angles and parallel lines
    Start Topic
  • Properties of a square
    Start Topic
  • Properties of a rectangle
    Start Topic
  • Properties of a parallelogram
    Start Topic
  • Properties of a rhombus
    Start Topic
  • Properties of a trapezium
    Start Topic
  • Properties of a kite
    Start Topic
  • Properties of basic quadrilaterals
    Start Topic
  • Quiz on properties of quadrilaterals
    Start Topic
  • Properties of an isosceles trapezium
    Start Topic
  • Properties of a rectangle
    Start Topic
  • Properties of a parallelogram
    Start Topic
  • Properties of a rhombus
    Start Topic
  • Properties of a trapezium
    Start Topic
  • Properties of an isosceles trapezium
    Start Topic
  • Properties of a kite
    Start Topic
  • Properties of basic quadrilaterals
    Start Topic
• Module
  7 Quadrilaterals
  • Quadrilaterals 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 Topic
  • Quadrilaterals sum of exterior angles
    Start Topic
  • Quiz on angles in quadrilaterals
    Start Topic
• Module
  8 Introduction to polygons
  • Introduction 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 Topic
  • What are polygons?
    Start Topic
  • Regular polygons
    Start Topic
  • Naming of polygon types
    Start Topic
  • Rotational symmetry in polygons
    Start Topic
  • Line symmetry in polygons
    Start Topic
  • Quiz on polygons
    Start Topic
• Module
  9 Polygons
  • Polygons 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 Topic
  • Regular polygon interior angle sizes
    Start Topic
  • Sum of exterior angles of polygons
    Start Topic
  • Regular polygon exterior angle sizes
    Start Topic
  • Quiz on polygon angle sizes
    Start Topic
• Module
  10 Geometrical solids
  • Geometrical 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 Topic
  • Prisms
    Start Topic
  • Prisms quiz
    Start Topic
  • Pyramids and cones
    Start Topic
  • Spheres, hemispheres and toruses
    Start Topic
  • Quiz on geometrical solids
    Start Topic
• Module
  11 Conics (elipses and hyperbolae)
  • Conics (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 Topic
  • Examples
    Start Topic
  • Graphs of Hyperbolae
    Start Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
  • Example 3
    Start Topic
  • Example 4
    Start Topic
  • Transformations of hyperbolae
    Start Topic
  • Translations
    Start Topic
• Module
  12 Transformations
  • Transformations 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 Topic
  • Translations, reflections and rotations
    Start Topic
  • Translations and coordinate geometry
    Start Topic
  • Translations and coordinate geometry quiz
    Start Topic
  • Reflections
    Start Topic
  • Reflections
    Start Topic
  • Reflections and coordinate geometry
    Start Topic
  • Rotations
    Start Topic
  • Rotations and coordinate geometry
    Start Topic
  • Quiz on transformations
    Start Topic
• Module
  13 Geometry
  • GeometryThis 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 Topic
  • Finding maximum and minimum values
    Start Topic
  • Solving linear and programming problems
    Start Topic
  • Solving linear programming problems - example
    Start Topic
  • Example part (b)
    Start Topic
• Module 2: Probability and Chance
• Module
  14 Summarising data
  • Summarising 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 Topic
  • Mode
    Start Topic
  • Mean
    Start Topic
  • Median
    Start Topic
  • Mode, mean, median
    Start Topic
  • Comparing mode, mean, median
    Start Topic
  • Range of data
    Start Topic
  • Inter-quartile range
    Start Topic
  • Review - summarising data
    Start Topic
• Module
  15 Frequency and graphs
  • Frequency 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 Topic
  • Nominal data
    Start Topic
  • Discrete data
    Start Topic
  • Continuous data
    Start Topic
  • Frequency tables with nominal data
    Start Topic
  • Frequency tables with discrete data
    Start Topic
  • Frequency tables - discrete data and summary statistics
    Start Topic
  • Mean from frequency tables - discrete data
    Start Topic
  • Interpreting column graphs
    Start Topic
  • Family size cumulative frequency
    Start Topic
• Module
  16 Creating a frequency table from data
  • Creating a 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 Topic
  • Nominal data
    Start Topic
  • Discrete data
    Start Topic
  • Continuous data
    Start Topic
  • Frequency tables with nominal data
    Start Topic
  • Frequency tables with discrete data
    Start Topic
  • Frequency tables - discrete data and summary statistics
    Start Topic
  • Mean from frequency tables - discrete data
    Start Topic
  • Interpreting column graphs
    Start Topic
  • Family size cumulative frequency
    Start Topic
• Module
  17 Graphs of all kinds
  • Graphs 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 Topic
  • Ice cream pictograph
    Start Topic
  • Column and bar graphs
    Start Topic
  • Examples of column graphs
    Start Topic
  • Pie charts
    Start Topic
  • Examples of pie charts
    Start Topic
  • Line graphs
    Start Topic
  • Temperature line graphs
    Start Topic
  • Types of graphs
    Start Topic
  • Interpreting column graphs
    Start Topic
  • Manchester flights bar graph
    Start Topic
  • Movie line graph
    Start Topic
  • Interpretation of a sports pie graph
    Start Topic
  • Review - graphs
    Start Topic
• Module
  18 Introduction to probability
  • Introduction 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 Topic
  • Probability words
    Start Topic
  • Words describing chance
    Start Topic
  • Finding probabilities theoretically
    Start Topic
  • Probability with equally likely outcomes
    Start Topic
• Module
  19 Odds and probability
  • Odds 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 Topic
  • Odds
    Start Topic
  • Odds on
    Start Topic
  • Odds and probability
    Start Topic
  • Fair or unfair?
    Start Topic
  • Deciding fairness using probability
    Start Topic
• Module
  20 Probability and relative frequency
  • Probability 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 Topic
  • Short-run coin tossing
    Start Topic
  • Short-run dice rolling
    Start Topic
  • Predicting from past experience
    Start Topic
  • Towards probability with coins
    Start Topic
  • Towards probability with dice
    Start Topic
  • Probability as long-run relative frequency
    Start Topic
• Module 3: Data Distributions
• Module
  21 Discrete random variables
  • Discrete 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 Topic
  • Discrete probability distribution
    Start Topic
  • The mean and variance of a discrete random variable
    Start Topic
  • Standard deviation as a measure of spread
    Start Topic
• Module
  22 Normal distribution
  • Normal distribution This free online course covers topics related to random variables and the normal 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.
  • The normal curve
    Start Topic
  • Continuous random variables and the normal distribution
    Start Topic
  • Calculation of probabilities for a normal distribution
    Start Topic
  • Approximating the binomial distribution with normal distribution
    Start Topic
• Module
  23 Binomial distribution
  • Binomial distributionThis free online course covers topics related to the binomial distribution and the binomial probability function .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 Topic
  • The number of successes in a given number of trials
    Start Topic
  • The effect of changing the parameter p
    Start Topic
  • The effect of changing the parameter n
    Start Topic
  • The mean and variance of a binomial random variable
    Start Topic
• Module
  24 Hypergeometric distribution
  • Hypergeometric 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 Topic
  • The mean of a hypergeometric random variable
    Start Topic
  • The variance of a hypergeometric random variable
    Start Topic
  • The mean and variance of a hypergeometric random variable example
    Start Topic
  • The mean and variance of a hypergeometric random variable example 2
    Start Topic
  • The formula for calculating probabilities
    Start Topic
  • Calculating probabilities
    Start Topic
  • Relationship between hypergeometric and binomial distributions
    Start Topic
• Module 4: Statistics, Correlation & Regressio...
• Module
  25 Univariate data
  • Univariate 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 Topic
  • Types of data
    Start Topic
  • Types of univariate data
    Start Topic
  • Numerical data
    Start Topic
• Module
  26 Univariate data 2
  • Univariate 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 Topic
  • Bar graphs
    Start Topic
  • Stem and leaf diagrams 1
    Start Topic
  • Stem and leaf diagrams 2
    Start Topic
• Module
  27 Bivariate data
  • Bivariate 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 Topic
  • Dependent and independent variables
    Start Topic
  • Percentaged tables
    Start Topic
  • Parallel boxplots
    Start Topic
  • Back-to-back stemplots
    Start Topic
  • Graphical display of bivariate data – in summary
    Start Topic
• Module
  28 Summary statistics
  • Summary 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 Topic
  • The mean
    Start Topic
  • The median – definition
    Start Topic
  • Cumulative frequency
    Start Topic
  • Cumulative frequency graph
    Start Topic
  • The mode
    Start Topic
  • Advantages and disadvantages of the mean
    Start Topic
  • The median for even data sets
    Start Topic
  • Advantages and disadvantages of the median
    Start Topic
  • The mean - example
    Start Topic
  • The median - example
    Start Topic
• Module
  29 Range
  • RangeThis 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 Topic
  • The range
    Start Topic
  • The interquartile range
    Start Topic
  • The interquartile range - example 1
    Start Topic
  • The interquartile range - example 2
    Start Topic
  • The standard deviation
    Start Topic
  • Boxplots
    Start Topic
  • Boxplots - example
    Start Topic
  • Using your calculator
    Start Topic
• Module
  30 Symmetry
  • SymmetryThis 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 Topic
  • Negative skew
    Start Topic
  • Positive skew
    Start Topic
  • Probability intervals
    Start Topic
  • Probability interval examples
    Start Topic
  • Comparing sample and population
    Start Topic
• Module
  31 Calculating a seasonal index
  • Calculating 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 Topic
  • Interpreting seasonal indices
    Start Topic
  • Seasonal movements
    Start Topic
  • Deseasonalising the data
    Start Topic
  • Deseasonalising the data – example
    Start Topic
• Module
  32 Coefficient
  • CoefficientThis 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 Topic
  • Scatterplots: using your calculator
    Start Topic
  • Pearson's product moment correlation coefficient, r
    Start Topic
  • Calculating r
    Start Topic
  • The coefficient of determination
    Start Topic
  • Practice question
    Start Topic
  • Strength of association
    Start Topic
• Module
  33 Regression line
  • Regression 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 Topic
  • Finding the equation of a regression line
    Start Topic
  • Interpretation of slope and intercept
    Start Topic
  • Practice question
    Start Topic
  • The three-median regression line
    Start Topic
  • Using your calculator
    Start Topic
  • The three-median regression example
    Start Topic
  • The three-median regression practice questions
    Start Topic
  • The least squares regression line
    Start Topic
  • Making predictions from a regression line
    Start Topic
• Module
  34 Non-linear data
  • Non-linear 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.
  • Non-linear data
    Start Topic
  • Square transformation
    Start Topic
  • Log transformations
    Start Topic
  • Reciprocal transformation
    Start Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
• Module
  35 Residual analysis
  • Residual 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 Topic
  • Residual analysis - part 1
    Start Topic
  • Plotting the residuals
    Start Topic
  • Residual analysis - part 2
    Start Topic
  • Residual analysis - part 3
    Start Topic
• Module
  36 Trends
  • TrendsThis 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 Topic
  • Cyclic patterns
    Start Topic
  • Random patterns
    Start Topic
  • Describing patterns in time series data
    Start Topic
  • Seasonal patterns
    Start Topic
  • Smoothing a time series
    Start Topic
  • Median smoothing
    Start Topic
  • Smoothing using moving averages
    Start Topic
  • Smoothing - example 1
    Start Topic
  • Smoothing - example 2
    Start Topic
• Module 5: Sequences and Series
• Module
  37 Arithmetic sequences
  • Arithmetic 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 Topic
  • Find a particular term in an arithmetic sequence
    Start Topic
  • How many terms in this arithmetic sequence?
    Start Topic
  • Show that the sequence is arithmetic
    Start Topic
  • Solving arithmetic sequences simultaneously
    Start Topic
  • Summing up arithmetic sequences
    Start Topic
  • Is this an arithmetic sequence?
    Start Topic
  • Example (b)
    Start Topic
  • Example (c)
    Start Topic
  • Example (d)
    Start Topic
• Module
  38 Arithmetic series
  • Arithmetic 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 Topic
  • Finding the sum of an arithmetic series
    Start Topic
  • Finding the sum of an arithmetic sequence
    Start Topic
• Module
  39 Geometric sequences
  • Geometric 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 Topic
  • Is this a geometric sequence?
    Start Topic
  • Find a term in an increasing geometric sequence
    Start Topic
  • Find a term in a decreasing geometric sequence
    Start Topic
  • Which term has that value?
    Start Topic
  • Example (b)
    Start Topic
  • Example (c)
    Start Topic
  • Example (d)
    Start Topic
• Module
  40 Geometric series
  • Geometric 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 Topic
  • Infinite geometric series
    Start Topic
  • Find the sum of an increasing geometric sequence
    Start Topic
  • Find the sum of a decreasing geometric sequence
    Start Topic
  • How many terms until the sum exceeds 2000?
    Start Topic
  • Find the sum of an infinite geometric series
    Start Topic
  • Sum a geometric series to infinity
    Start Topic
• Module
  41 The binomial theorem
  • The 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 Topic
  • The binomial expansion
    Start Topic
  • The binomial expansion - examples
    Start Topic
• Module
  42 Difference equations 1
  • Difference 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 Topic
  • Making rungs for a ladder
    Start Topic
  • Growing Town
    Start Topic
• Module
  43 Difference equations 2
  • Difference 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 Topic
  • Generating a sequence from a difference equation
    Start Topic
  • Difference equations that represent arithmetic sequences
    Start Topic
  • Difference equations that represent geometric sequences
    Start Topic
  • Generate the first 4 terms of a sequence
    Start Topic
  • Generate the first 4 terms of another sequence
    Start Topic
  • Find a general expression for the nth term
    Start Topic
  • Find a general expression for the nth term
    Start Topic
• Module
  44 Difference equations 3
  • Difference 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 Topic
  • Solving difference equations
    Start Topic
  • Find a general expression for the nth term
    Start Topic
  • Find the first term from a given term
    Start Topic
  • Find the first term from the second term
    Start Topic
• Module 6: Trigonometry
• Module
  45 Trigonometry 1
  • Trigonometry 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 Topic
  • Right-angled triangles
    Start Topic
  • Solving non right-angled triangles
    Start Topic
  • The sine rule
    Start Topic
  • The cosine rule
    Start Topic
  • The area of a triangle
    Start Topic
  • Example
    Start Topic
  • Example 2
    Start Topic
  • Cosine rule – Example 1
    Start Topic
  • Cosine rule – Example 2
    Start Topic
• Module
  46 Trigonometry 2
  • Trigonometry 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 Topic
  • Pythagoras in 3 dimensions
    Start Topic
  • Similar figures
    Start Topic
  • Surface area and volume
    Start Topic
  • Similar figures example
    Start Topic
  • Surface area and volume: example 1
    Start Topic
  • Surface area and volume: example 2
    Start Topic
• Module
  47 Degrees and radians
  • Degrees and radians This free online course covers the conversion of 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 Topic
  • Conversions of Radian and Degree Measures
    Start Topic
• Module
  48 Pythagoras and bearings
  • Pythagoras 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 Topic
  • Angles of elevation and depression
    Start Topic
  • Directions and bearings
    Start Topic
  • Contour maps
    Start Topic
  • Traverse surveys
    Start Topic
  • Compass bearings
    Start Topic
  • True Bearings
    Start Topic
  • Bearings application example
    Start Topic
  • Field survey example
    Start Topic
  • Field survey example continued
    Start Topic
  • Bearings yachting example
    Start Topic
• Module
  49 Trigonometric identities
  • Trigonometric 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 Topic
  • Inverse Circular Functions
    Start Topic
  • Trigonometric Identities
    Start Topic
• Module
  50 Ratio and proportion
  • Ratio 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 Topic
  • Simplifying ratios
    Start Topic
  • Expressing ratios as a percentage
    Start Topic
  • Dividing quantities in a given ratio
    Start Topic
  • Applications of ratio and proportion
    Start Topic
  • Map scales
    Start Topic
  • Dilution factors
    Start Topic
  • Photography
    Start Topic
  • Gears
    Start Topic
  • Finding x values in ratios
    Start Topic
  • Map scales: how far is that?
    Start Topic
  • Dilution: drug strength
    Start Topic
  • Photographing a tree
    Start Topic
  • Gearing up... gearing down
    Start Topic
• Module
  51 Ratio and proportion gears
  • Ratio 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
  • Rules 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 Topic
  • Antiderivatives of basic functions
    Start Topic
  • Finding specific functions based on given information
    Start Topic
  • Indefinite integral
    Start Topic
  • Using related derivatives to find an integral
    Start Topic
• Module
  53 Integration applications
  • Integration applications This free online course covers topics related to 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 Topic
  • Approximating an area
    Start Topic
  • Definite integrals
    Start Topic
  • Evaluating a definite integral
    Start Topic
• Module
  54 Rules of differentiation
  • Rules 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 Topic
  • Functions
    Start Topic
  • Rules of differentiation
    Start Topic
  • Rules for finding derivatives
    Start Topic
  • Linear combination of functions
    Start Topic
  • Product of two functions
    Start Topic
  • Quotient of two functions
    Start Topic
  • Function of a function
    Start Topic
• Module
  55 Applications of differentiation
  • Applications 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 Topic
  • Stationary Points
    Start Topic
  • Maximum or Minimum
    Start Topic
  • Maximum/Minimum Problems
    Start Topic
  • Equations of Tangents and Normals
    Start Topic
  • Examples
    Start Topic
• Module
  56 Polynomial equations
  • Polynomial 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 Topic
  • Example
    Start Topic
  • The Fundamental Theroem of Algebra
    Start Topic
  • Equations
    Start Topic
  • Examples
    Start Topic
• Module
  57 Factors of polynomials
  • Factors 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 Topic
  • Polynomial notation and function manipulations
    Start Topic
  • Factorising polynomials
    Start Topic
  • Factorisation process for cubics
    Start Topic
  • Factorisation process for quartics
    Start Topic
  • Factor and remainder theorems
    Start Topic
  • Long division
    Start Topic
  • Synthetic division
    Start Topic
  • Factorising polynomials: example
    Start Topic
• Module
  58 Differentiation - Product rule
  • Differentiation - 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 Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
  • Example 3
    Start Topic
• Module
  59 Differential equations
  • Differential equations This free online course covers topics related to differential equations such as first order and second order differential equations and rates of change . 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 Topic
  • Order and degree of differential equations
    Start Topic
  • Verifying solutions
    Start Topic
  • Rates of change
    Start Topic
  • Rates of change - chain rule
    Start Topic
  • The rates of change example
    Start Topic
  • First order differential equations - type 1
    Start Topic
  • First order differential equations - type 2
    Start Topic
  • Second order differential equations
    Start Topic
• Module
  60 Second derivatives
  • Second 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 Topic
  • Use of the second derivative
    Start Topic
  • Examples
    Start Topic
  • Second derivatives
    Start Topic
• Module
  61 Antiderivatives
  • Antiderivatives This free online course covers topics related to antiderivatives such as standard antiderivative types, 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 Topic
  • Standard Antiderivative Types
    Start Topic
  • Type 2 - Hyperbolic Functions
    Start Topic
  • Type 3 - Partial Fractions
    Start Topic
  • Example 2
    Start Topic
  • Type 5 - Linear Substitution
    Start Topic
• Module
  62 Antiderivatives of circular functions
  • Antiderivatives 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 Topic
  • Examples 1 and 2
    Start Topic
  • Examples 3 and 4
    Start Topic
  • Examples 5 and 6
    Start Topic
  • Type 6 - Odd and Even Powers
    Start Topic
  • Odd Powers
    Start Topic
  • Even Powers
    Start Topic
• Module
  63 Antiderivatives and their graphs
  • Antiderivatives 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 Topic
  • Original and Antiderivative Functions
    Start Topic
  • Graphs of Antiderivatives
    Start Topic
  • Examples 1 and 2
    Start Topic
  • Examples 3 and 4
    Start Topic
  • Examples 5 and 6
    Start Topic
• Module 8: Functions
• Module
  64 Graphs
  • GraphsThis free online course covers topics related to graphs such as time-distance 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 Topic
  • Step graphs
    Start Topic
  • Distance-time graphs
    Start Topic
• Module
  65 Straight lines
  • Straight 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 Topic
  • The general equation of a straight line
    Start Topic
  • Finding the equation of a line
    Start Topic
  • Simultaneous equations
    Start Topic
  • Method 1 - elimination
    Start Topic
  • Method 2 - substitution
    Start Topic
  • Sketching linear equations
    Start Topic
  • Break even analysis
    Start Topic
  • Straight line graphs - gradient
    Start Topic
  • Finding the gradient given the coordinates of two points
    Start Topic
  • Elimination examples
    Start Topic
  • The break even example
    Start Topic
  • Sketching linear equations - example 1
    Start Topic
  • Sketching linear equations - example 2
    Start Topic
  • Straight line graphs - gradient example
    Start Topic
• Module
  66 Straight line graphs
  • Straight 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 Topic
  • Graphs of polynomial functions: the garden activity
    Start Topic
  • Introduction
    Start Topic
  • Graphs of polynomial functions
    Start Topic
  • Graphs derived from standard graphs
    Start Topic
  • Other standard graphs
    Start Topic
  • Certain special graphs
    Start Topic
  • Transformations
    Start Topic
  • Reflections
    Start Topic
  • Dilations
    Start Topic
  • Combinations of transformations
    Start Topic
  • Addition of ordinates
    Start Topic
  • Important graphs
    Start Topic
  • Important graphs: Type 1
    Start Topic
  • Important graphs: type 2
    Start Topic
  • Important graphs: type 3
    Start Topic
  • Important graphs: type 4
    Start Topic
  • Graphs of inverse functions
    Start Topic
  • Graphs of polynomial functions: examples
    Start Topic
• Module
  67 Power graphs
  • Power graphsThis free online course is an introduction to the power graphs, and the linear representation of non-linear 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 Topic
  • Linear representation of non-linear graphs
    Start Topic
• Module
  68 Graphs of ciruclar functions
  • Graphs 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 Topic
  • Graphs of the form y=Asin(a(x+b))+B and y=Acos(a(x+b))+B
    Start Topic
  • Solution of trigonometric equations
    Start Topic
  • Graphs of the form y = tan(ax)
    Start Topic
  • Equations of the form sin(ax)=B and cos(ax)=B
    Start Topic
  • Equations of the form sin(ax)=kcos(ax)
    Start Topic
• Module
  69 Inverse functions
  • Inverse 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 Topic
  • Inverse functions
    Start Topic
  • Further inverse functions
    Start Topic
  • Examples
    Start Topic
• Module
  70 Logarithms and index laws
  • Logarithms 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 Topic
  • Solution of exponential and logarithmic equations
    Start Topic
  • Examples
    Start Topic
• Module
  71 Inverse circular functions
  • Inverse 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 Topic
  • Example 2
    Start Topic
  • Example 3
    Start Topic
• Module
  72 Reciprocal function graphs
  • Reciprocal 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 Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
  • Example 3
    Start Topic
• Module
  73 Symmetry and periodicity
  • Symmetry 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. 
  • Use of Symmetric, Periodic and Complementary Relationships of Circular Functions
    Start Topic
  • Symmetry Example 1
    Start Topic
  • Example 2
    Start Topic
  • Example 3
    Start Topic
  • Periodicity
    Start Topic
  • Complementary Relationships
    Start Topic
  • Complementary Relationship Examples
    Start Topic
• Module 9: Vectors
• Module
  74 Kinematics
  • Kinematics 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 Topic
  • Finding displacement from velocity
    Start Topic
  • Solving differential equations (rectilinear motion) example
    Start Topic
  • Finding acceleration or velocity from displacement
    Start Topic
  • Constant acceleration - introduction
    Start Topic
  • Constant acceleration - example 1
    Start Topic
  • Velocity time graphs - introduction
    Start Topic
  • Finding the acceleration from the velocity time graph
    Start Topic
  • Finding the distance travelled from a velocity time graph
    Start Topic
  • Velocity time graphs - example
    Start Topic
  • Constant acceleration - example 2
    Start Topic
• Module
  75 Motion
  • Motion 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 Topic
  • Newton's laws of motions
    Start Topic
  • Forces-weight
    Start Topic
  • Diagram of forces
    Start Topic
  • Basic equation of motion
    Start Topic
  • Resolution of forces
    Start Topic
  • Horizontal and vertical
    Start Topic
  • Equations of motion
    Start Topic
  • Parallel and perpendicular to a plane
    Start Topic
  • Equations of motion
    Start Topic
  • Moving down the slope
    Start Topic
  • Connected masses
    Start Topic
  • Motion under a constant force
    Start Topic
  • Motion under a constant force - example 1
    Start Topic
  • Motion under a constant force - example 2
    Start Topic
  • Motion under a variable force
    Start Topic
  • Motion under a variable force - example 1
    Start Topic
  • Motion under a variable force - example 2
    Start Topic
  • Motion under a variable force - example 3
    Start Topic
  • Momentum and impulse
    Start Topic
  • Momentum and impulse example
    Start Topic
  • Moving up the slope
    Start Topic
  • Motion under a constant force - example 1 continued
    Start Topic
  • Forces-normal reaction
    Start Topic
  • Forces-friction
    Start Topic
  • Forces-tension
    Start Topic
• Module
  76 Resolution of forces
  • Resolution 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 Topic
  • Resolution of forces
    Start Topic
  • Three forces
    Start Topic
  • Static friction
    Start Topic
  • Angle of friction
    Start Topic
• Module
  77 Scalar products of vectors
  • Scalar 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 Topic
  • Scalar resolutes
    Start Topic
  • Vector resolutes
    Start Topic
  • Vector resolute examples
    Start Topic
  • Scalar (or dot) Product
    Start Topic
  • Using the Dot Product in Vector Proofs
    Start Topic
  • Example 1
    Start Topic
  • Finding the Angle Between Two Vectors
    Start Topic
  • Example 2 (midpoints)
    Start Topic
  • Perpendicular Vectors
    Start Topic
  • Inclination to the x or y axis
    Start Topic
  • Example 3 (midpoints)
    Start Topic
  • Example 4 (Co-linear points)
    Start Topic
• Module
  78 Vectors
  • Vectors 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 Topic
  • Finding cartesian equations from parametric equations
    Start Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
  • Collision
    Start Topic
  • Example 3
    Start Topic
  • Using a graphic calculator with parametric equations
    Start Topic
  • Using a graphic calculator with two parametric equations to show a collision
    Start Topic
  • The closest distance to a path
    Start Topic
  • Example 4
    Start Topic
• Module
  79 Vectors 2
  • Vectors 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 Topic
  • Notation used in vector calculus
    Start Topic
  • Differentiation and anti differentiation of vectors
    Start Topic
  • Example 1
    Start Topic
  • Example 2
    Start Topic
• Module
  80 Vectors in 2 and 3 dimensions
  • Vectors 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 Topic
  • Symbols Used to Represent Vectors
    Start Topic
  • Magnitude of a Vector
    Start Topic
  • Zero Vector
    Start Topic
  • Subtracting Vectors
    Start Topic
  • Equal vectors
    Start Topic
  • Parallel Vectors
    Start Topic
  • Vectors in Cartesian Form
    Start Topic
  • Position Vectors
    Start Topic
  • The Cartesian Plane
    Start Topic
  • Linear Dependence and Independence
    Start Topic
  • Unit Vector
    Start Topic
  • Multiplying by a Scalar
    Start Topic
  • Linear Dependence and Independence Example
    Start Topic
• Module 10: Algebra
• Module
  81 Introduction to Algebra
  • Introduction 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 Topic
  • The language of algebra
    Start Topic
  • Algebraic notation
    Start Topic
• Module
  82 Using Formulae 1
  • Using Formulae 1Many real-world 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 Topic
  • The XSIQ petrol pump
    Start Topic
  • Petrol stations
    Start Topic
  • Renting a car
    Start Topic
  • Get real rent-a-car deal
    Start Topic
  • Speed examples
    Start Topic
  • Speed
    Start Topic
  • Temperature
    Start Topic
  • Temperature examples
    Start Topic
  • Temperature converter
    Start Topic
• Module
  83 Using Formulae 2
  • Using 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 Topic
  • The using formulae temperature video
    Start Topic
• Module
  84 Algebraic Expressions 1
  • Algebraic 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 Topic
  • Verifying the simplified form of an algebraic expression
    Start Topic
  • Verifying the simplification using substitution - examples
    Start Topic
  • Verifying the simplification using a spreadsheet
    Start Topic
  • Adding and subtracting terms - practice questions 1
    Start Topic
  • Adding and subtracting terms - practice questions 2
    Start Topic
  • Mulitplying terms - Commutative Law
    Start Topic
  • Multiplying terms - rearranging 1
    Start Topic
  • Multiplying terms - rearranging 2
    Start Topic
  • Dividing terms - rearranging 1
    Start Topic
  • Dividing terms - rearranging 2
    Start Topic
  • Adding and subtracting like terms without using algebra blocks
    Start Topic
• Module
  85 Algebraic Expressions 2
  • Algebraic 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 Topic
  • Distributive Law - algebra blocks
    Start Topic
  • Distributive Law - expansion
    Start Topic
  • Expanding and collecting like terms
    Start Topic
  • Expanding and simplifying algebraic expressions
    Start Topic
• Module
  86 Algebraic Fractions 1
  • Algebraic 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 Topic
  • Adding simple algebraic fractions
    Start Topic
  • Subtracting algebraic fractions
    Start Topic
  • Fractions with letters in the denominators
    Start Topic
  • Binomials in denominator
    Start Topic
  • Speed and algebraic fractions
    Start Topic
  • The faster car takes less time
    Start Topic
  • Calculating the time difference
    Start Topic
  • Adding and subtracting algebraic fractions - practice questions
    Start Topic
• Module
  87 Algebraic Fractions 2
  • Algebraic 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 Topic
  • Factorising algebraic expressions
    Start Topic
  • Highest common factor
    Start Topic
  • More complex highest common factors
    Start Topic
  • Factorising algebraic expressions - practice questions
    Start Topic
• Module
  88 Algebraic Fractions 3
  • Algebraic 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 Topic
  • Grouping two and two
    Start Topic
  • Grouping three terms and one term
    Start Topic
• Module
  89 Terminology for Algebraic Expressions
  • Terminology 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
  • Binomial 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 Topic
  • Binomial expansions with like and unlike terms
    Start Topic
  • Binomial expansions
    Start Topic
  • Binomial expansions and areas
    Start Topic
  • Using binomial expansions for problem solving
    Start Topic
  • Binomial expansions - reminder
    Start Topic
  • Binomial expansion with two variables
    Start Topic
  • Binomial expansions - practice questions
    Start Topic
• Module
  91 Binomial Expressions 2
  • Binomial 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 non-perfect squares
    Start Topic
  • Binomial expansions with non-perfect squares
    Start Topic
  • Expanding perfect squares - practice questions
    Start Topic
  • Binomial expansions with perfect squares
    Start Topic
  • Binomial expansions with perfect squares
    Start Topic
• Module
  92 Binomial Expressions 3
  • Binomial 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 Topic
  • Difference of perfect squares (DOPS)
    Start Topic
  • Expanding and simplifying algebraic expressions - practice questions
    Start Topic
  • Expanding using the difference of perfect squares rule
    Start Topic
  • Difference of perfect squares rule
    Start Topic
  • Difference of perfect squares
    Start Topic
• Module
  93 Completing the Square
  • Completing 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 Topic
  • Factorising quadratic trinomials using the method of completing the square
    Start Topic
  • Process to factorise a quadratic trinomial by the method of completing the square
    Start Topic
• Module
  94 Perfect Squares
  • Perfect 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 Topic
  • Using the difference of perfect squares 2
    Start Topic
  • Factorising using the difference of perfect squares (DOPS) expressions
    Start Topic
• Module
  95 Quadratic Trinomials
  • Quadratic 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 Topic
  • Factorising the general form by inspection
    Start Topic
  • Factorising quadratic trinomials
    Start Topic
  • Factorising algebraic expressions - quadratic trinomials
    Start Topic
  • Factorising quadratic trinomials
    Start Topic
  • Factorising quadratic trinomials
    Start Topic
  • Factorisation of quadratic trinomials
    Start Topic
• Module
  96 Substitution into Algebraic Expressions
  • Substitution 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
  • Summary 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 Topic
  • Practice question - Sally's patio
    Start Topic
  • Practice question - in the swim with algebra
    Start Topic
  • Practice question - algebra can be fishy
    Start Topic
• Assessment
• Assessment
  • Assessment Score 80% or more in the assessment and you can obtain a Diploma parchment for this course.
  • Diploma in Mathematics Assessment
    Start Topic