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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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The Logistic Map and Chaos
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation provides a spreadsheet, which models a population of mice, and allows students to vary the input and thus change the behaviour of the model. There are some surprising discoveries to be made when the results...
Inversion
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation begins with a reminder of some transformations of the plane before introducing the less well known transformation of Inversion. Students are able to experiment with an Autograph file to explore this concept...
Quadratic Reciprocity
Carom Maths provides this resource for teachers and students of A Level mathematics to explore aspects of the subject which may not normally be encountered, to encourage new ways to approach a problem mathematically and to broaden the range of tools that an A Level...
Hikorski Triples
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation demonstrates how the interesting idea of Hikorski triples was developed from writing a GCSE Equations worksheet in 2002. The triples are identified as (p, q, pq+1/p+q).
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 |
