Carom Maths provides this resource for teachers and students of A Level mathematics.

Cyclotomic polynomials are explained in this presentation, which uses a regular polygon to illustrate the complex roots of unity and establish which of those are primitive, before demonstrating some intriguing algebra.

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation uses the fact that 1729 is the smallest number that can be expressed as two cubes in two different ways to introduce the topic of Elliptic curves, which are used more and more in the field of number theory...

Produced by the Learning Skills Improvement Service, these materials help to demonstrate effective practice. By Cambridge Regional College, this case study looks at the themes of functional skills, equality, engineering and mathematics.

The aim of the project was to work with staff to raise awareness of the...

Produced in 2011 by the Learning Skills Improvement Service (LSIS), this case study tackles the theme of equality and diversity. By Newham Adult Learning Service, the study set out to explore, in a scientific manner, tutor and learner perceptions regarding gender and if there was in fact any gender bias in...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation demonstrates how the interesting idea of Hikorski triples was developed from writing a GCSE Equations worksheet in 2002. The triples are identified as (p, q, pq+1/p+q).

The activity is designed to...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation introduces Euclid's axioms and theorems and provides historic information on the development of geometric principles, as well as discussing hyperbolic geometry. A link to Non-Euclid software, from Joel...

Science, technology and mathematics teachers at Tendring Technology College had already collaborated across departments and wanted to develop these links further by adopting a thematic approach to the curriculum. The Key Stage 3 curriculum was reviewed to identify areas to embed a STEM philosophy into the lessons...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation starts with the inequalities associated with triangles and challenges students to develop proofs of the inequalities found in other situations, using the arithmetic, geometric and harmonic means.

The...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation highlights the concept of infinity and its implications, as well as introducing the mathematician Georg Cantor and the arguments relating to infinity that he came up with.

The resource is designed to...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation begins with a reminder of some transformations of the plane before introducing the less well known transformation of Inversion. Students are able to experiment with an Autograph file to explore this concept...

Published by LSIS, this research project was carried out by Bolton Community College. The aim of the research was to devise an effective numeracy foundation learning programme that would address the immediate academic numeracy needs of foundation level students who had previously shown low levels of achievement in...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students explore non-periodic tiling patterns using templates of kites and darts, as well as discovering the many remarkable facts to be found in these tilings.

The resource is designed to explore...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students are given a function and explore the mapping of natural numbers, as well as being challenged to find the inverse function. A link to the online encyclopaedia of integer sequences is provided for...

Produced by the Learning Skills Improvement Service (LSIS), this case study tackles the theme of progression through STEM subjects. It looks at a mentoring scheme set up by St Francis Xavier College to support students in mathematics. In the scheme, A2 students were paired with AS students and given advice about...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this activity a set of numbers is referred to as multiple free if there is no pair of numbers in the set such that one is a multiple of the other and the challenge is to find the largest multiple free set from the first...