- View more resources from this publisherCarom Maths
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
Resources
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What Are You Implying?
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.
This activity is designed to explore aspects of the subject which...
Conics
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation introduces the Conics and provides a Geogebra file for students to explore how, by changing the eccentricity of a curve, the locus of a point is altered. They are also challenged to vary the constants of an...
The Four Colour Theorem
Carom Maths provides this resource for teachers and students of A Level mathematics.
Colouring maps, so that no two countries sharing a border are shaded with the same colour, is the focus of this presentation, which includes both the history and mathematical proofs to this problem.
This activity is...
V, S and E
Carom Maths provides this resource for teachers and students of A Level mathematics.
There are six ways to write the total edge length, total surface area and volume of a cube, or cuboid, in order of size. This presentation challenges students to find a cube for each order. Autograph files are provided to...