
Free Course

XSIQ

34 Hours

Assessment

Certification

Academic  Secondary  Level 1

50 Pts
Algebra in Mathematics

Description

Outcome

Certification

This Algebra in Mathematics course offers a comprehensive introduction to algebra and carefully explains the concepts of algebraic fractions.
The course 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. 
After completing this course you will have a good understanding of algebraic notation. You will be able to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions.
You will gain a good knowledge of simplifying, verifying, expanding, adding and subtracting algebraic expressions. You will be aware of the Distributive Law.
This course will teach you algebraic fractions. You will learn binomial expressions, quadratic trinomials and many more algebraic concepts. 
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, Certificate or PDF.
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( 18 )

Module
1 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
2 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
3 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
4 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
5 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
6 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
Start Topic


Module
7 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
Start Topic


Module
8 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
9 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
10 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
11 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
12 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
13 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
14 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
15 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
16 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
17 Summary of Factorisation
Summary of FactorisationThis course summarises the processes and procedures of factorisation. This provides great help in solving algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Summary of factorisation
Start Topic

Practice question  Sally's patio
Start Topic

Practice question  in the swim with algebra
Start Topic

Practice question  algebra can be fishy
Start Topic


Assessment

Assessment

Algebra Assessment
Start Topic
