apt4Maths: PowerPoint (Lesson 4 of 8) on Algebraic Manipulation - EXPANDING BRACKETS

PowerPoint Presentation on 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.

This is 1 of a set of 8 PowerPoint Presentations covering topics relating to ‘Algebraic Manipulation’. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It 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.

The complete 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.

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. Note: 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’.

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