APT
Initiatives Ltd
Est 1999

# apt4Maths: Set of 11 PowerPoint Presentations (Relating to Algebra) on Graphs for GCSE (and Key Stage 3) Mathematics

Product Code: PPGKS3M-2A-G

From £20.50 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 11 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:

• Algebraic Manipulation
• Equations & Inequalities
• Types of Number and Sequences

#### Product Information

This set of 11 PowerPoint Presentations (193 slides, excluding Title Pages) covers the following topics relating to ‘Graphs’:

• 01 Introducing Functions (15 slides): Explains how to use function machines to find outputs and inputs, how to use functions to find mappings, and how to find and use inverse functions.
• 02 Composite Functions (13 slides): Reviews previous work on functions and explains how to find composite functions.
• 03 Co-ordinates (19 slides): Explains how to plot and read off co-ordinates in all 4 quadrants and how to find and use co-ordinate midpoints.
• 04 Plotting Graphs (16 slides): Explains the different types of graphs; Reviews substitution (using formulae) and co-ordinates; Explains how to plot graphs (straight and curved), and outlines the shapes of linear, quadratic, cubic, reciprocal and trigonometric (eg sine wave) graphs.
• 05 Gradients & Intercepts (20 slides): Explains how to find the x-axis and y-axis intercepts of straight or curved lines, and how to find the gradients of straight lines and tangents of curves, in order to sketch a graph.
• 06 Straight Line Graphs (22 slides): Explains how to find and use the equations of straight line graphs.
• 07 Parallel & Perpendicular Graphs (15 slides): Explains how to spot and find the equations of parallel lines, how to find reciprocals, and how to find the equations of perpendicular lines.
• 08 Circle Graphs (18 slides): Explains how to plot or sketch a circle graph, how to find the equation of a circle graph, and how to find the equation of a tangent to a circle graph.
• 09 Trigonometric Graphs (14 slides): Explains how to plot and recognise trigonometric graphs for sine, cosine, and tangent, and explains amplitude and wavelength and how these can be changed to transform trigonometric graphs.
• 10 Transforming Graphs (9 slides): Explains the 4 main ways of transforming graphs: moving up / down, moving across, reflecting in the x-axis, and reflecting in the y-axis.
• 11 Real-life Graphs (22 slides): Explains how to plot, use, and interpret graphs that represent real-life situations, including conversion graphs, distance-time graphs, and velocity-time graphs.

apt4Maths PowerPoint on Graphs - Trigonometric Graphs

## 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.