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
This beginners math course is an ideal introduction to fractions. The tutorial uses an interactive multimedia format and relevant examples to thoroughly examine the topic. It is ideal as a study aid or as a complement to facetoface classes.
01 Hours50 Points 
PreAlgebra Mathematics
This free online course in PreAlgebra mathematics for high school students will guide you through several different areas of mathematics such as integers, onestep equations, inequalities and equations, graphs and functions, percent, probabilities. There is also an introduction into geometry and right triangles. The course is divided into twelve 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 prealgebra which they can build on in later courses.
45 Hours50 Points 
Sequences, Series and Equations in Mathematics
This free online 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
This free online course offers a comprehensive introduction to algebra and carefully explains the concepts of algebraic fractions. It guides you from basic operations, such as addition and subtraction, up to simplifying quadratic equations and more. It applies maths to realworld problems. This course is ideal for students looking for extra help, or even for a different approach to learning maths.
34 Hours50 Points 
Algebra  Functions, Expressions and Equations
This free online 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 free online Geometry 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 free online 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 free online course is the first of our UpperSecondary Mathematics suite of courses. It covers mathematical analysis, including univariate statistics and data, bivariate statistics, correlation, regression, residual analysis, nonlinear data, and seasonal movements. This course is suitable for students of maths, especially those preparing for examinations. It is also suitable for those looking to refresh their knowledge of Mathematics.
23 Hours50 Points 
Probability and Chance in Mathematics
This free online 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 free online 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 free online 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
This free online training explores complex numbers and equations, polynomial equations, conics, advanced trigonometry, differentiation, antiderivatives, and vectors in 2 and 3space. This course is both an ideal studyaid for students to improve their skills in their spare time or for anyone interested in exploring the world of mathematics.
34 Hours50 Points 
Advanced Mathematics 2
The Advanced Mathematics UpperSecondary 2 course completes our suit of uppersecondary maths. This free online 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 ideal for people who want to gain a thorough understanding and knowledge of advanced topics in algebra.
The advanced algebra topics include linear equations, inequalities, graphs, matrices, polynomials, radical expressions, quadratic equations, functions, exponential, logarithmic expressions, sequences, series, probability and trigonometry.
The course is divided into 13 modules and each module is divided into lessons with theory, examples and video explanations, making for an enhanced study experience.
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 free online 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 free online 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.