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

apt4Maths: Set of 14 PowerPoint Presentations on Shapes, Angles and Construction for GCSE (and Key Stage 3) Mathematics

From £27.50 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 14 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.

Product Information

This set of 14 PowerPoint Presentations (238 slides, excluding Title Pages) covers the following topics: 

  • 01 Shapes – Terminology and Properties (18 slides): Defines key terms relating to shapes and angles and explains the types and properties of triangles and quadrilaterals.
  • 02 Angles – An Introduction (25 slides): Links turning, compass points and analogue clock hands to multiples of 90°. Explains key words, types of angles, estimating angles and measuring angles.
  • 03 Angles – Simple Facts (20 slides): Explains how: complementary angles add up to 90, supplementary angles add up to 180, angles at a point add up to 360, vertically opposite angles are equal, angles in a triangle add up to 180, and angles in a quadrilateral add up to 360.
  • 04 Angles – Polygons (20 slides): Reviews the names of common polygons, explains how to calculate exterior and interior angles of regular polygons as well as missing angles of irregular polygons, and explains what is meant by the term tessellation.
  • 05 Angles – Parallels (23 slides): Explains the types of angles formed when a transversal line crosses parallel lines and explains how this knowledge can be used to calculate missing angles.
  • 06 Angles – Bearings (9 slides): Defines bearings and explains how knowledge of angles at parallel lines can be used to find bearings.
  • 07 Circle Theorems (21 slides): Reviews terms linked to circles, explains the eight circle theorems and how these can be applied to find the size of angles.
  • 08 Basic Trigonometry (24 slides): Explains the basics of trigonometry relating to sine, cosine and tangent values for right-angled triangles, and how to find missing sides and missing angles using trigonometry.
  • 09 Sine Rule (14 slides): Explains the Sine Rule and how to use it to find missing sides and angles in triangles.
  • 10 Scale Drawings (11 slides): Explains how to calculate real and scale distances on scale drawings.
  • 11 Constructions (13 slides): Explains how to construct SAS, ASA, and SSS triangles.
  • 12 Bisectors (11 slides): Explains how to Explains how to bisect a line and bisect an angle.
  • 13 Locus (14 slides): Explains how to find the locus of a given situation
  • 14 Views (15 slides): Explains isometric views, elevations (front, side and back), and plans.


  • Work on Pythagoras’ Theorem, the Cosine Rule, and the trigonometric formula for the area of a triangle, is included in APT’s set of PowerPoints on ‘Mensuration’ (Perimeter, Area & Volume), which relates to the ‘Geometry and Measures’ section of the Maths specifications.

Download Sample Material

apt4Maths PowerPoint on Angles - Bearings

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