apt4Maths: Set of 10 PowerPoint Presentations on Types of Number & Sequences 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.
This set of 10 PowerPoint Presentations (183 slides, excluding Title Pages) covers the following topics relating to ‘Types of Number’ and ‘Sequences’:
- 01 Multiples, Factors & Prime Numbers (22 slides): Explains multiples, lowest common multiples (LCMs), factors, highest common factors (HCFs) and prime numbers.
- 02 Prime Factorisation (15 slides): Explains how to express a value as a product of its primes and how to use prime factorisation to find the HCF and LCM of large numbers.
- 03 Squares, Cubes & Roots (21 slides): Explains squares, cubes and their roots.
- 04 Indices & Laws of Indices (25 slides): Explains positive and negative indices, laws of indices.
- 05 Fractional Indices (8 slides): Explains fractional indices.
- 06 Surds (23 slides): Explains surds, surd laws and how to rationalise denominators.
- 07 General Sequences (21 slides): Explains how sequences can be generated using word descriptors, number or function machines, practical situations and from expressions for the nth term.
- 08 Linear Sequences (16 slides): Explains how to find missing terms and the expression for the nth term of a linear arithmetic sequence.
- 09 Quadratic Sequences (20 slides): Explains other types of sequences and how to find missing terms and the expression for the nth term of a quadratic sequence.
- 10 Geometric Sequences (12 slides): Explains how to find missing terms and the expression for the nth term of a geometric sequence.