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Carom 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
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Zeroes of a Recurrence Relation
Carom Maths provides this resource for teachers and students of A Level mathematics.
The Fibonacci sequence is an example of a linear recurrence relation (LRS). A matrix is used to calculate future terms, as well as running the sequence backwards to see how many zeroes appear. Algebra is used to prove the...
Cyclotomic Polynomials
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.
...Could Pi Be 3?
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation investigates the value of π in different types of geometry and provides a link for students to experiment with Hyperbolic geometry. The classic definition of a distance function, or metric, is given and a...
The Cross-ratio
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation looks at the theorem of cross-ratio, of four complex numbers, which is of great interest in a field of mathematics known as projective geometry and has an ancient history.
The activity is designed to...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cx5q9 |
