apt4Maths: Set of 10 PowerPoint Presentations (Relating to Geometry and Measures) on Symmetry Transformations and Vectors for GCSE (and Key Stage 3) Mathematics
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This set of 10 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 are one of several sets of PowerPoint Presentations, which essentially relate to the ‘Geometry and Measures’ section of the Maths specifications. These other sets concern:
- Measures, Perimeter, Area & Volume
- Symmetry, Transformations & Vectors
This set of 10 PowerPoint Presentations (149 slides, excluding Title Pages) covers the following topics relating to ‘Symmetry, Transformations and Vectors’:
- 01 Line Symmetry (17 slides): Reviews what is meant by ‘symmetry’; Explains how to draw reflections and find mirror lines and to determine how many lines of symmetry something has.
- 02 Rotational Symmetry (15 slides): Explains how to find the order of rotational symmetry and how to draw rotationally symmetric shapes.
- 03 3D Symmetry (9 slides): Explains how to find planes of symmetry for 3D Shapes.
- 04 Transformations – Reflections (13 slides): Reviews what is meant by ‘reflect’; Explains how to draw reflections on a grid in a given line, and how to find the line of reflection on a grid.
- 05 Transformations – Rotations (16 slides): Reviews what is meant by ‘rotate’; Explains how to draw rotations on a grid using a centre and angle of rotation, and how to find the angle and the centre of rotation.
- 06 Transformations – Translations (13 slides): Reviews what is meant by ‘translate’; Explains how to draw translations on a grid given a matrix vector, and how to find the matrix vector of a translation.
- 07 Transformations – Enlargements (18 slides): Reviews what is meant by ‘enlarge’; Explains how to draw enlargements on a grid given a centre and factor of enlargement, and how to find the centre and the factor of enlargement.
- 08 Similarity (17 slides): Reviews what is meant by ‘similar’; Explains how to find missing lengths on similar shapes, as well as how to find missing areas or volumes of similar 2D or 3D shapes.
- 09 Proofs of Congruency & Similarity (12 slides): Explains what you need to do to prove that two shapes are congruent or that two shapes are similar.
- 10 Vectors (19 slides): Explains what a vector is, how vectors can be presented, and how to calculate with vectors.