Year 2

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 second 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.

Dynamical Systems - The Game of Life

Sequences - Mapping a set to itself, Zeroes of a Recurrence Relation

Geometry - Pearl Tilings, Conics, V, S and E, Inversion, Triangle Centres, Elliptic Curves , Could Pi be 3?

Complex Numbers - Triominoes, Cyclotomic Polynomials

Geometry/complex numbers - The Cross-ratio

Algebra - Tangles

Logic - What are you implying?

Topology - The Four Colour Problem

Dynamical Systems - The Logistic Map and Chaos

Number Theory - Quadratic Reciprocity, Hikorski Triples, The ABC Conjecture