Year 1

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

Probability - Buffon's Needle

Ergodic Maths - Adding again and again...

Set Theory and logic - Infinity

Logic - The Propositional Calculus

Complex Numbers - The Mandelbrot Set