Mathematics  Introduction to Advanced Learning Path
Many jobs require basic mathematical skills to complete everyday tasks quickly and efficiently. Mathematical skills are also vital to everyday lives outside of the professional sector. The Alison learning path in mathematics goes from basic mathematical theories to advanced principles. This learning path will benefit you if you want to increase your mathematical skills for either your work or professional life. The Alison learning path in mathematics will take you from a low level of understanding to a more comprehensive advanced level. You will look at important mathematical principles such as algebra, geometry, statistics, and probability. You will learn about how to build on, and understand the implications which basic principles can have on complex problems. You will also have the opportunity to learn about what level of mathematical understanding is needed for the ACT and SAT math exams.
Courses in this Learning Path

Fractions in Mathematics
What is a fraction anyway? A fraction is a number between zero and 1. It looks like one number on top of another number. That's not so difficult is it? With this course, learning fractions can become really simple. Anybody struggling with fractions can use it as a helpful study aid full of helpful fractions exercises, so they can get past this tricky little subject in no time. So go on, give the course a go and make learning fractions as easy as 1 2 3!
01 Hours50 Points 
PreAlgebra Mathematics
The course will first guide you through important areas of Mathematics such as integers and onestep equations. You will then learn about inequalities, graphs, and functions. Basic but important Math principles including percentages and probabilities with then be laid out in simple language. You will also get an introduction to geometry, circle graphs, angles, parallel lines, and rightangled triangles, so that a wide range of future Math lessons will be easier for you. In this section you will also be shown how to measure the area and volume of shapes such as pyramids, prisms, cylinders and cones.
Next, you will learn how to evaluate expressions and identify properties. The course will then guide you through the meaning and calculation of a coordinate system, ordered pairs, and absolute values. Finally, you’ll get an introduction to some more advanced material, such as polynomials, binomials and factorisation, so that you will be more than ready for your future education in Math. To make everything as clear as possible (we know Math can be difficult) each lesson will include theory, examples, and video lessons.
By the end of this course, you will have gained Math skills that can open up a range of careers. You’ll also be much more able to get excellent grades in your next Math exam. Math skills are in great demand from employers around the world, and almost every student needs them. Despite this, very few people have strong Math skills. With this free course, and less than 5 hours of work, you’ll be standing above the crowd. So why wait?! Make Math easier, today.
45 Hours50 Points 
Sequences, Series and Equations in Mathematics
This Sequences, Series and Equations in Mathematics course is the second of our UpperSecondary Mathematics suite of courses. It covers ratio and proportion, geometric sequences, arithmetic series, difference equations, linear programming, geometry, trigonometry, and graphs. This course is suitable for all math students revising for exams. It is also suitable for anyone with an interest in Mathematics.
34 Hours50 Points 
Algebra in Mathematics
Do you know that the word algebra came from the Arabic word aljabr. This word dates back to the title of a 9thcentury manuscript written by the mathematician AlKhwarizmi, who is known as the Father of Algebra. Now that you know whom to thank Algebra for, it's time to learn it. First, this course will clearly explain the basic operations of addition and subtraction, and will show you how to simplify quadratic equations. This will make your future algebra studies much easier.
This online Algebra course then applies Math to realworld problems. You will be given a good understanding of algebraic notation and be shown how to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions. You will then be guided through the processes of simplifying, verifying, and expanding algebraic expressions. In no time at all, you will master binomial expressions, quadratic trinomials, and other algebraic concepts that used to make you scratch your head in confusion.
By the end of this Algebra in Mathematics course, you will have gained a much stronger understanding of algebraic fractions. This will make it much easier to get an A in your next Math test, or just to find the subject of algebra a little less overwhelming. This course is ideal for students looking for extra help, or even for a different approach to learning Math. So, check out the course and make finding your X's and Y's a lot easier today.
34 Hours50 Points 
Algebra  Functions, Expressions and Equations
This course in algebra from Alison will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. The course is divided into 12 chapters and each chapter is divided into several lessons. Under each lesson you will find theory, examples and video lessons. This course is ideal for learners who want to study topics in algebra in detail.
23 Hours50 Points 
Geometry in Mathematics
This Geometry in Mathematics course provides a comprehensive introduction to geometrical methods and techniques, covering angles, triangles, quadrilaterals, polygons, and more.
It is ideal for complementing facetoface classes, as a study guide, or for those who would like to refresh their knowledge of mathematics.23 Hours50 Points 
Geometry  Angles, Shapes and Area
This course in Geometry is for high school and secondary school students. The course will guide you through several different areas of Geometry such as points, lines, angles, triangles, quadrilaterals and circles, as well as transformations and area. The course is divided into ten modules and each module is divided into several lessons. Under each lesson you will find theory, examples and video lessons. This course is ideal for learners who want to gain a comprehensive knowledge and understanding of topics in Geometry which they can build on in later courses.
23 Hours50 Points 
Statistics, Correlation and Regression in Mathematics
This online statistics course will first cover the main types of univariate data. Here, you will gain a strong understanding of categorical data and numerical data, which is further categorized into continuous data and discrete data. You will then learn how to display data using bar graphs and stem and leaf graphs. Next, you will study bivariate data and cover topics on dependent and independent data, stemplots and boxplots. You will also be guided through important statistical methods such as calculating the mean, median, and mode.
Next, the statistics course will introduce you to the concept of an interquartile range and teach you how to create boxplots. You will also study important aspects of data distribution, learn how to calculate and interpret seasonal indices, and how to deseasonalise data. Next, you will move on to the subjects of coefficients of determination, scatterplots, and calculating r. The course will wrap up with the topics on regression line, nonlinear data, residual analysis, and trends.
This free statistics course is suitable for math students who are looking for a study aid to help them understand statistics a little more clearly. As the lessons also provide effective exam study techniques, they will also be great help for anyone preparing for examinations. So why wait? Check out the Statistics, Correlation, and Regression in Mathematics course today and start bringing your statistics skills to the next level.
23 Hours50 Points 
Probability and Chance in Mathematics
This Probability and Chance in Mathematics course introduces you to the mathematics of probability, chance and the analysis of data. The course begins by introducing data collection and analysis, graphs and frequency distribution. The course examines chance in the context of gambling, odds and probability. The course is of interest to anybody who needs to analyse mathematical data and is particularly valuable to students studying for exams.
34 Hours50 Points 
Differentiation and Functions in Mathematics
This intermediate math course continues our maths suite of courses. It covers rules and applications of differentiation, straight line graphs, graphing circular functions, logs and indices, the Binomial theorem, inverse functions, and factors of polynomials. This course is ideal for secondlevel students, anyone studying for an exam, and those interested in reigniting their knowledge of mathematics!
23 Hours50 Points 
Mathematics UpperSecondary 4  Distributions and Integration
The second part of our intermediate math course continues our maths suite of courses. It covers binomial, normal and hypergeometric distribution, discrete random variables, and integration. This course is ideal for students preparing for an exam, or for those wanting to refresh their knowledge of mathematics.
23 Hours50 Points 
Advanced Mathematics 1
With this online course, which you can take anytime, anywhere, you can get a better understanding of advanced topics in math. Along with learning how to calculate complex numbers using the simple operations, you will also learn how to apply the DeMoivre’s Theorem and use polar form multiplication and division. The course will also give you a clear runthrough of the relationship between graphs and their antiderivatives, which will make your future math studies much easier.
Next, you will receive simple lessons in statistics, such as how to process nominal, discrete, and continuous data in frequency tables. You will then learn how to apply the product rule in calculus and easily perform calculations of differentiation. The course will then give you a good grasp of the concepts of antiderivatives including hyperbolic functions, partial fractions, linear substitution, and odd and even powers.
If you are a student looking for a clear and free online math course to supplement your current math studies, this is the course for you. For many, math is quite boring and difficult, but once you get a clear understanding of core mathematical concepts, the rest of the subject can become much easier. This course will do exactly that. So, start the course now, and boost your math skills in no time at all.
34 Hours50 Points 
Advanced Mathematics 2
The Advanced Mathematics UpperSecondary 2 course completes our suit of uppersecondary maths. This course covers differential equations, kinematics, vector calculus and dynamics. This course is suitable for maths students, and for anyone interested in exploring the world of mathematics.
23 Hours50 Points 
Advanced Algebraic Concepts and Applications in Mathematics
This course is divided into 13 modules, and each module is divided into lessons with theories, examples, and video presentations for a clear study experience. Upon completion of this advanced linear algebra course, you will be able to simplify expressions and inequalities, and represent functions and linear equations on a graph. You will also be able to calculate equations with two or three variables, and will know how to operate with matrices and simplify polynomials and radical expressions.
In this course, you will also learn how to plot a quadratic function on a graph, solve conic sections, polynomial functions, rational expressions, and exponential and logarithmic functions. Solving geometric sequences and series, as well as the use of Binomial Theorem, are also part of the course outline. You will fully grasp the concepts of permutations, combinations, probabilities, and the trigonometric functions of angles, sines, cosines, and circular and inverse functions.
Learning algebra develops critical thinking skills, logic, patterns, and deductive and inductive reasoning. These are great skills not only for science and math but also for our daily activities. This advanced algebra course makes learning these topics simple and includes video explanations for effective and easy to follow learning. So, check out the course now, and gain a clearer understanding of algebra in no time at all, for free.
34 Hours50 Points 
ACT Math Exam
The ACT (American College Testing) is a standardized test for high school achievement and college admissions in the United States produced by ACT, Inc. The ACT test has historically consisted of four tests: English, Mathematics, Reading, and Science Reasoning. The 60question math test consists of 14 questions covering prealgebra, 10 elementary algebra, 9 intermediate algebra, 14 plane geometry, 9 coordinate geometry, and 4 elementary trigonometry. This course from Alison contains 60 sample problems similar to the ones you will find in your own. This course is ideal for any learner studying for the ACT math exam.
23 Hours50 Points 
SAT Math Exam
Each year, more than two million students take the SAT (Scholastic Assessment Test). Nearly every college in America uses the test as a common and objective scale for evaluating a student's college readiness. This course from Alison contains sample math problems similar to the ones you will find in your own SAT test. If you have problems solving any of the questions then watch the video lesson to get an explanation. This course is ideal for any students who are sitting the SAT math exam.
34 Hours50 Points
Complete!
Successfully complete all of these courses to receive a Mathematics  Introduction to Advanced Learning Path Award.
All your learning will be reflected in your Learner Record, which you can download for free at any time.
You also have the option of purchasing an Alison Certificate for each of the above courses you successfully complete.