Initiatives Ltd
Business, Economics & Maths Resources
Minimising Workloads, Maximising Performance
Est 1999

apt4Maths: Set of 8 PowerPoint Presentations (Relating to Algebra) on Algebraic Manipulation for GCSE (and Key Stage 3) Mathematics

From £15.50 ex VAT

If you are a school/college and would like to place an order and be INVOICED later, please email sales@apt-initiatives.com.

This set of 8 PowerPoint Presentations, written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations, are designed for use by:

  • any teacher – not necessarily a maths specialist – as part of their own delivery of lessons.
  • students working independently.

They can be used by:

  • cover teachers.
  • students who are unable to attend their lesson in person.

Each PowerPoint Presentation includes:

  • Lesson objectives
  • Step-by-step explanations of the subject matter
  • Examples to aid understanding
  • Questions to check understanding
  • Answers to questions, with explanations
  • Suggestions regarding which topic(s) should be moved on to next.

These PowerPoint Presentations relate to the ‘Algebra’ sections of the Maths specifications. Other sets relating to Algebra concern:

  • Equations & Inequalities
  • Graphs
  • Types of Number and Sequences

Product Information

This set of 8 PowerPoint Presentations (135 slides, excluding Title Pages) covers the following topics relating to ‘Algebraic Manipulation’: 

  • 01 Algebraic Conventions (12 slides): Defines terms used in algebra (expression, equation, terms, co-efficient) and explains algebraic conventions.
  • 02 Collecting Like Terms (7 slides): Explains how to simplify expressions by collecting ‘like’ terms together.
  • 03 Simplifying (11 slides): Reviews algebraic terminology and algebraic conventions and explains how to simplify expressions that involve multiplication and division.
  • 04 Expanding Brackets (21 slides): Reviews BIDMAS and explains how to expand single-bracketed expressions, double-bracketed expressions, and (for higher tier only) triple-bracketed expressions.
  • 05 Factorising (28 slides): Explains how to factorise linear and quadratic expressions.
  • 06 Substitution (11 slides): Explains how to substitute numbers for letters into algebraic expressions and formulae, and then evaluate.
  • 07 Rearranging Formulae (25 slides): Explains how to rearrange formulae (aka how to change the subject of a formula).
  • 08 Identities and Proofs (20 slides): Explains the difference between an equation and an identity, and explains how to find counter-examples, and how to set out formal proofs.


  • Work on calculating with algebraic fractions is included in APT’s set of PowerPoints on ‘Fractions’.
  • Work on functions and composite functions in included in APT’s set of PowerPoints on ‘Graphs’.

Download Sample Material

apt4Maths PowerPoint on Algebraic Manipulation - Collecting Like Terms

Key Information

The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site.

The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform.

The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource direct from APT Initiatives Ltd.

The resource (or any part of the resource) must not be distributed to any other individual or organisation in any form, or by any means. Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages.

Need help purchasing?

Email sales@apt-initiatives.com or call us on 01952 540877