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Mathematics on ALISON
This suite of Mathematics courses covers the second level curriculum. These resources are suitable for maths tutors, teachers and strategic learners.

Why should I use online learning courses?

• Online learning resources are excellent supplementary material to your teaching plan.
• They are available on demand, any time, via the internet.
• They are always on.
• They provide an engaging, interactive experience.
• They automatically track learner progress.


Where did these courses come from?

These courses were developed by XSIQ, a reputable Australian e-learning company. They compiled a wide e-learning suite of courses that represents the official Australian secondary school curriculum.


How do I start using these courses?

• Go to www.alison.com and create an ALISON account. It is quick, free, secure and very easy to do this.
• Browse the contents. See the links below for reference.


Case Study
You have a class of twenty-five 15-year-old students. You are covering Rules of Differentiation. However, you have identified four students who are finding the whole thing rather overwhelming. You assign Rules of Differentiation to the rest of the students, asking them to answer four questions as an assignment to be completed by the next class. They can start right away, using the online material as a supplementary resource. This frees your time to focus on the other students. The online material can also be recommended to help the remedial students catch up.
Free Online Maths Courses
Algebra
Chance and Data
Geometry
Core Mathematics 1
Core Mathematics 2
Intermediate Mathematics 1
Intermediate Mathematics 2
Advanced Mathematics 1
Advanced Mathematics 2

Foundation Mathematics
Algebra

Introduction to Algebra
Using Formulae 1
Using Formulae 2
Algebraic Expressions 1
Algebraic Expressions 2
Algebraic Fractions 1
Algebraic Fractions 2
Algebraic Fractions 3
Terminology for Algebraic Expressions
Binomial Expressions 1
Binomial Expressions 2
Binomial Expressions 3
Completing the Square
Perfect Squares
Quadratic Trinomials
Substitution into Algebraic Expressions
Summary of Factorisation

Chance and Data

Summarising data
Frequency and graphs
Graphs of all kinds
Introduction to probability
Odds and probability
Probability and relative frequency
Assessment

Geometry

Introduction to triangles
Angle types
Angle sizes and sums in triangles
Triangles - Similarity and congruence
Corresponding angles
General triangles quiz
Introduction to quadrilaterals
Quadrilaterals
Introduction to polygons
Polygons
Geometrical solids
Transformations

Core Mathematics
Core Mathematics 1

Univariate data
Univariate data 2
Bivariate data
Summary statistics
Range
Symmetry
Calculating a seasonal index
Coefficient
Regression line
Non-linear data
Residual analysis
Trends
Exam techniques and tips
Assessment

Core Mathematics 2

Assessment
Arithmetic series
Geometric sequences
Geometric series
Difference equations 1
Difference equations 2
Difference equations 3
Geometry
Straight lines
Graphs
Power graphs
Trigonometry 1
Trigonometry 2
Pythagoras and bearings
Ratio and proportion
Ratio and proportion gears
Further Maths Glossary

Intermediate Mathematics
Intermediate Mathematics 1

Rules of differentiation
Applications of differentiation
Factors of polynomials
Straight line graphs
Graphs of circular functions
Inverse functions
Logarithms and index laws
The binomial theorem

Intermediate Mathematics 2

Discrete random variables
Normal distribution
Binomial distribution
Hypergeometric distribution
Rules of integration
Integration applications
Glossary

Advanced Mathematics
Advanced Mathematics 1

Creating a frequency table from data
Differentiation - Product rule
Antiderivatives
Antiderivatives of circular functions
Antiderivatives and their graphs
Complex numbers 1
Complex numbers 2
Conics (ellipses and hyperbolae)
Degrees and radians
Inverse circular functions
Polynomial equations
Reciprocal function graphs
Vectors in 2 and 3 dimensions
Scalar products of vectors
Symmetry and periodicity
Trigonometric identities

Advanced Mathematics 2

Successfully completing mathematics exams
Common exam mistakes
Differential equations
Second derivatives
Kinematics
Motion
Advanced Mathematics: Problems
Resolution of forces
Vectors
Vectors 2
Glossary




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