
Free Course

XSIQ

1520 Hours

Assessment

Certification

250 Pts
Diploma in Mathematics

Description

Outcome

Certification

Alison's free online Diploma in Mathematics course gives you comprehensive knowledge and understanding of key subjects in mathematics.
This course covers calculus, geometry, algebra, trigonometry, functions, vectors, data distributions, probability and probability and statistics. Math qualifications are in great demand from employers and this math course will greatly enhance your career prospects. 
Alison's math course will greatly enhance your skills, giving you a greater understanding of core mathematics components such as geometry, trigonometry, calculus and more as well as expanding your knowledge base in areas such as chance, data distributions, statistics, probability, correlations and regression.
You will learn about using binomial expansions for problem solving and will understand the relationship between the graphs of functions and their antiderivatives. You will be able to confidently create graphs and make advanced calculations such as straightline calculations, kinematics, motion, vectors, algebra, binomial expressions, and quadratic functions. 
All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma or Certificate.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
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

Acuteangled triangles
Start Topic

Rightangled triangles
Start Topic

Obtuseangled 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 cointerior 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

Interquartile 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

Shortrun coin tossing
Start Topic

Shortrun dice rolling
Start Topic

Predicting from past experience
Start Topic

Towards probability with coins
Start Topic

Towards probability with dice
Start Topic

Probability as longrun 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

Backtoback 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 threemedian regression line
Start Topic

Using your calculator
Start Topic

The threemedian regression example
Start Topic

The threemedian regression practice questions
Start Topic

The least squares regression line
Start Topic

Making predictions from a regression line
Start Topic


Module
34 Nonlinear data
Nonlinear 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 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

Rightangled triangles
Start Topic

Solving non rightangled 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 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 Topic

Step graphs
Start Topic

Distancetime 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 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 Topic

Linear representation of nonlinear 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  manytoone and onetomany
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

Forcesweight
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

Forcesnormal reaction
Start Topic

Forcesfriction
Start Topic

Forcestension
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 (Colinear 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 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 Topic

The XSIQ petrol pump
Start Topic

Petrol stations
Start Topic

Renting a car
Start Topic

Get real rentacar 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 nonperfect squares
Start Topic

Binomial expansions with nonperfect 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
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Assessment

Assessment

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

Diploma in Mathematics Assessment
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