Algebraic Identities – Foundation Level

Algebraic Identities – Introduction

In this lesson series, we will explore some important algebraic patterns that will help you expand, simplify and factorise algebraic expressions more efficiently.

You will learn how to use key identities such as the square of a binomial and the difference of two squares, and apply them to a variety of algebraic problems.

These foundation lessons are common to both Core and Pathways students at Level 5. We will begin by building a clear understanding of each identity through simple explanations, visual examples and step-by-step worked solutions.

Once you have mastered the foundation, you will practise questions appropriate to your level. Core students can progress to more challenging and multi-step problems, while Pathways students can strengthen their understanding through guided practice and reinforcement.

By the end of this lesson series, you should be able to:

• Recognise important algebraic identities,
• Use identities to expand expressions,
• Use identities to factorise expressions,
• Choose the appropriate identity for a problem, and
• Apply these identities confidently to solve level 5 algebra problems.
• Whether you are studying Core or Pathways, we will build your understanding step by step.

So, let’s get started and make algebraic identities simple!