Carom is an extra-curricular maths club which operates at Paston College in Norfolk. Jonny Griffiths has developed these materials to provide the opportunity for students to explore different aspects of mathematics which will also broaden their skills and encourage them to find new ways to approach a problem mathematically.

These resources are drawn from the field of pure mathematics and are designed for students, in the first year of the A Level course, as bridging activities between A Level and university. Each presentation includes tasks for students to investigate, enabling them to engage with the material and to play with the mathematics.

Geometry - Geodesics, Kites and Darts, The Overlapping Circles, Siders, Curves of Constant Width, Wallpaper Patterns, Hyperbolic Geometry

Algebra - Inequalities

Probability - Coincidences

Optimisation - The Least Road Problem

Number Theory - Perfect and Mersenne Numbers, Repunits, Multiple-free Sets, Descent, The Distribution of Prime Numbers

Probabilit- Buffon's Needle

Ergodic Maths - Adding again and again...

Set Theory and logic - Infinity

Logic - The Propositional Calculus

Complex Numbers - The Mandelbrot Set

Resources

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Descent

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

This activity explores an example of the Descent method. This method was popularised by the famous mathematician Pierre de Fermat...

Wallpaper Patterns

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

Wallpaper patterns all have one thing in common; they are all produced by repeating a single fundamental tile by translation, that one basic rule gives rise to a range of possible patterns, each with their distinctive...

Ergodic Mathematics

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

Ergodic maths is a fairly new branch of mathematics which concerns itself with repeated processes and some of the basic theorems are introduced here.

The activity is designed to explore aspects of the subject which...

The Distribution of Prime Numbers

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

In this activity the distribution of prime numbers, proved by Hadamard and de la Vallée Poussin in 1896, is investigated using an Excel spreadsheet program, Autograph and the Prime Number Theorem.

The resource is...

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