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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
Resources
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Triangle Centres
Carom Maths provides this resource for teachers and students of A Level mathematics.
A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed...
The ABC Conjecture
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation begins by introducing students to the technique used to find the radical of an integer before progressing to the ABC conjecture, which is recognised by mathematicians as being an important unsolved problem...
Elliptic Curves
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation uses the fact that 1729 is the smallest number that can be expressed as two cubes in two different ways to introduce the topic of Elliptic curves, which are used more and more in the field of number theory...
Triominoes
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cx5q9 |
