Learning Outcomes

Factorising Quadratics

Factorising - Difference of Two Squares

Expanding Brackets (Grid Method)

Expanding Brackets (FOIL method)

Expanding Any Two Brackets

Rearranging Simple Formulae

Rearranging Simple Formulae 2 Steps

Rearranging Formulae with Squares and Square Roots

Rearranging Formulae New Subject Appearing Twice

Simplifying Surds

Further Calculations with Surds

Completing The Square

General Completing The Square

Binomial Expansion

Lesson Summary

Learn about expression and formulae used in the Algebra and Mathematics,

Equations with Linear Functions in The Denominator

Quadratic Equations Using The Formula

Simultaneous Equations Both Negative Signs

Quadratic Equations Non Unitary x Squared

Quadratic Equations Both Brackets The Same Sign

Quadratic Equations Brackets With Different Signs

Quadratic Equations That Have to be Rearranged

Solving Simultaneous Equations Graphically

Simultaneous Equations Negative and Positive Signs

Simultaneous Equations Both Positive

Hidden Quadratics

Use of The Discriminant

Equations With Indices

Learn about solving Quadratic equations and simultaneous equations, along with what hidden quadratics are, the discriminant and how to solve equations with indices.

Logarithmic Equations

Solving Exponential Equations

From Roots to Functions

Non Linear Simultaneous Equations

Factor Theorem

The Remainder Theorem

General Remainder and Factor Theorem

Finding Roots of Cubic Equation

Modulus Equations

Using Graphs to Solve Modulus Equations

Learn more about solving Logarithmic and exponential equations, along with what the factor and remainder theorems are and how they work.

Finding Inequalities from Shaded Regions

Solving Linear Inequalities with Fractions

Solving Quadratic Inequalities – Method 1

Solving Quadratic Inequalities – Method 3

Non-Unitary x^2 - Trial and Error Method

Solving Quadratic Inequalities – Method 2

Non-Unitary x^2 - Algebra Method

Non-unitary x^2 - Graphical Method

Solving Quadratic Inequalities - Special Cases

Rational Inequalities

Modulus Inequalities

Modulus Function On a Graph

Graphical Solution of Modulus Inequalities

Learn about solving and working out quadratic equations with inequalities, demonstrating three different methods to do so, explaining what modulus equations are and how to work them out.

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Writing Complex Numbers in Polar Form

Multiplying and Dividing in Polar Form (Proof)

Multiplying and Dividing in Polar Form (Example)

Proof of De Moivre’s Theorem

Complex Numbers When Solving Quadratic Equations

Cubic Equations With Complex Roots

Finding The Cube Roots of 8

Learn about how to work with and use complex numbers, how to convert them to the polar form, multiplying and dividing in the polar form, solving quadratic equations with complex numbers, and complex roots with cubic equations.

Algebra in Mathematics - Assessment

With this online course gain a good understanding of the fundamentals and key aspects of Algebra in mathematics.

Algebra in Mathematics

This free online algebra course offers a comprehensive introduction to algebra and carefully and clearly explains the concepts of algebraic fractions. Have you ever asked yourself why algebra is so complicated? Well, you're not alone. This Algebra in Mathematics course is designed to make studying mathematical symbols much easier for you. Take this free online course today and make your math studies a lot less stressful!

Do you know that the word algebra came from the Arabic word al-jabr. This word dates back to the title of a 9th-century manuscript written by the mathematician Al-Khwarizmi, 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 how to simplify your algebraic expressions, with expansion of brackets and factorising.The course starts off with teaching you how to factorise an algebraic equation, and the two different methods for expanding brackets, how to rearrang simple formulae, what a surd is and how binomial expansion works. In the second module you will be learn about solving different types of quadratic equations, along with what simultaneous equations are and how to solve them. The module ends with explain hidden quadratics, the discriminant and how to solve equations with indices.In the following module you will be taught about how to solve logarithmic and exponential equations, along with the factor and the remainder theorems. The third module finishes with explaining how to find the root of a cubic equation and what modulus is and how to work it out. Next you will learn about inequalities in quadratic equations and linear equations, and how to solve them using either the trial and error method, the algebra method or the graphical method.In the last module you will learn about complex numbers and what they are, imaginary numbers and the meaning of I, converting numbers to the polar form and multiplying and dividing in the polar form. The module finishes by showing you how to prove De Moivre’s theorem, complex numbers when solving quadratic equations, complex roots and cube roots.This course would be of great interest to any one looking to further or upskill their mathematical knowledge and capability.

9 Best TensorFlow Courses for 2025

Class Action: 50,000 Seek Payouts, Costing Coursera, Udemy Millions

DeepLearning.AI to Cross $100M in Sales on Coursera

Medical Education Platforms with 800 Free Certificates & CME Credit

600+ Courses from Top Med Schools with Free Certificate & CME Credit

[2025] 470+ Hours of Free LinkedIn Learning Courses with Free Certification

10 Best Organic Chemistry Courses for 2025

Duolingo’s Reddit Community Revolts: ‘No Más’ to Unpaid Support

2025’s Online Education Shakeup Claims Another: Skillshare’s CEO Departs

[2025] 150+ Online Courses to Help Your Career

Duolingo’s Restaurant Side Business Tops $1.3M

12 Best Laravel Courses for 2026: Ship Sites Fast

10,000+ Free Courses from Tech Giants: Learn from Google, Microsoft, Amazon, and More

8 Best Crochet Courses for 2025: Practical, Enriching, Creative

freeCodeCamp’s Responsive Web Design (Free) Certification Is Out of Beta

Exploring edX’s “Final” Tax Returns: Revenue Surges, Losses Mount, and Contributions Decline

Safeguarding and Reporting

Safeguarding Vulnerable Adults

Impact of Abuse and Trauma

Creating Safe Environments and Policies

Communication, Trust, and Multi-Agency Collaboration

This module will introduce you to various professional safeguarding strategies for protecting children and vulnerable adults. You'll explore the causes and impacts of different forms of abuse and trauma. We'll show you how to create a safe environment for children and vulnerable adults cohesively and protect them from harm.

Safeguarding Children and Vulnerable Adults - Course assessment

Empower yourself to safeguard vulnerable individuals, fostering a secure community with this free online course.

Safeguarding Children and Vulnerable Adults

Have you ever felt a personal calling to make a difference in the lives of others? Have you thought of safeguarding vulnerable individuals? This course explores the various forms of abuse, their immediate and long-term signs and how they impact the lives of vulnerable individuals. Discover how to ensure a safe environment for children and vulnerable adults using collaborative approaches and the fundamental principles of safety and well-being

Topic 1: Introduction to Child Protection

Topic 2: International, Regional and National Legal Framework

Topic 3: Alternative Care and Child Safeguarding

Topic 4 : Monitoring and Evaluation in Child Protection

In this module, you will learn the fundamental concepts, guiding principles, and ethical considerations related to child protection before considering the international, regional, and national legal frameworks. We discuss the current approaches to prevent and respond to child abuse or neglect, including the signs of abuse, neglect, or violence.

Comprehensive Child Protection Training Course - Course Assessment

Learn the skills to prevent and respond to child abuse, neglect, exploitation and violence in this free online course.

Comprehensive Child Protection Training 

This online child protection course equips students with the knowledge and skills to identify, prevent, and respond to child abuse and neglect. You will learn to recognise signs of abuse, understand strategies for prevention and response to violence against children such as INSPIRE, and apply best practices for intervention and support. The course empowers learners to play a critical role in safeguarding children and promoting their well-being.

The Importance of Safe Food Handling - Part 1

The Importance of Safe Food Handling - Part 2

Organized Efforts for Food Safety

The ServSafe Examination

ServSafe Manager Certification - Sample Questions

This module teaches you about the fundamentals of safe food handling and different ways to prevent food contamination. It also talks about the global efforts concerning food safety and the role of the ServSafe certification program. Moreover, you will also be equipped with the essential knowledge to prepare yourself for the ServSafe exam.

Fundamentals of Serving Safe for Food Handlers - Assessment

This course will describe the methods of protecting food from getting contaminated and the basics of the ServSafe exam.

Fundamentals of Serving Safe for Food Handlers

Safe and hygienic food handling is extremely important to prevent contamination and diseases. This holds especially true for the professionals in the culinary sciences and food management field. Through this course, we have emphasized various areas and practices concerned with the safe handling of foods. We have also focused on the global efforts to ensure food safety along with the ServSafe certification and its various aspects.

Topic 1 : WorkSafeBC Regulations

Topic 2 : Responsibilities of Employers and Workers

Topic 3 : Handle Hazardous Materials Safely

Topic 4: Information to Be Disclosed on an SDS

Topic 5: WHMIS Education and Training

Workplace Hazards and WHMIS: A Guide to Safety and Legal Duties - Assessment

This free online course covers the laws and rules that must be complied with to guarantee safe and healthy workplaces.

Workplace Hazards and WHMIS: A Guide to Safety and Legal Duties

Are you aware of the laws protecting you from hazardous substances at work? This course covers essential regulations, including the Workers' Compensation Act, WorkSafeBC policies, and the Workplace Hazardous Materials Information System (WHMIS). Learn about employer and worker responsibilities, safe handling of hazardous materials, and the must-know guidelines that keep workplaces safe. Gain critical knowledge to protect yourself and others.

Introduction to Epilepsy

Diagnosing and Classifying Epilepsy with EEG

This module will demonstrate how to run simulations of six neurophysiological phenomena using simulation software known as MetaNeruon. It will also discuss the neurological conditions underlying epilepsy and how to use an EEG to diagnose this mental disorder.

Understanding Epilepsy - Course Assessment

This free online course takes you through the symptoms, classifications, diagnosis and treatment of epilepsy.

Understanding Epilepsy

Most of the world’s roughly 50 million epileptics do not have access to treatment, medical attention or even information about their neurological disorder. This free online course identifies who is most susceptible to epilepsy and explains its causes and symptoms. We then examine the available tools for diagnosis and treatment and demonstrate the use of the electroencephalogram (EEG) to detect this long-misunderstood condition.

Understanding Defensive Driving Principles

Vehicle Dynamics and Handling

Defensive Observation and Safe Following Distance

Traffic Laws, Regulations and Vehicle Maintenance

In this module, you’ll be introduced to the key concepts of defensive driving and its benefits. We emphasize the importance of anticipating potential hazards and making proactive decisions to avoid accidents. We show you how to use headlights correctly, avoid driving in blind spots, maintain a safe following distance and more.

Defensive Driving in Adverse Weather and Nighttime

Managing Space and Visibility

Defensive Driving in Different Environments

Managing Driver Fatigue and Distractions

In this module, you’ll learn about vehicle dynamics and handling. We discuss the role of weight distribution, suspension, speed, and vehicle design in affecting stability. We also provide some basic and advanced braking techniques, such as gradual braking, threshold braking, engine braking, and more.

Handling Emergency Situations

Crash Avoidance Maneuvers

Post-Crash Procedures and First Aid

In this module, you’ll gain insights into emergency braking, types of braking systems, and adapting techniques to varied road conditions. You’ll learn about the types of skids and their effective control measures. We show you how to communicate effectively with emergency services and administer basic first aid and cardiopulmonary resuscitation.

Comprehensive Guide to Defensive Driving - Assessment

Equip yourself with the skills and techniques to avoid accidents and stay safe on the road with this free online course.

Comprehensive Guide to Defensive Driving

Driving is an essential aspect of our lives but carries various risks. Defensive driving is, therefore, essential for ensuring road safety while driving. This course aims to enhance your driving skills and minimize the chances of accidents by providing guidance on observing road conditions, anticipating dangers, maintaining vehicle control and more. Are you ready to become a safer driver? Enrol now and learn for free!

Introduction to Domestic Violence and Abuse

The Components of Domestic Violence

Domestic Violence on Victims

Domestic Violence and Abuse on Children

Risks of Domestic Violence and Abuses on Children

Supporting the Victim and Reporting Incidents

This module will give you a broader understanding of domestic abuse and violence. We look at the signs of abuse in a relationship, the cycle of abuse and patterns of behaviour and the Duluth Model. This module briefly looks at the impact of domestic abuse on children as well as how to recognise and help victims of domestic abuse and violence.

Course Assessment

In this free online course, learn about identifying and reporting domestic violence and abuse in children and adults.

Fundamentals of Domestic Violence and Abuse

Domestic violence is common and many adults and children experience some sort in their lifetime. This course examines how to report abuse and explores the signs of abuse in a relationship. We will discuss different types and what to do if you suspect that a child is being abused. You will also learn how to help adults and children affected by domestic violence. Additionally, you will know how to report an incident in confidence.