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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 first 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.
Geometry - Geodesics, Kites and Darts, The Overlapping Circles, Siders, Curves of Constant Width, Wallpaper Patterns, Hyperbolic Geometry
Algebra - Inequalities
Probability - Coincidences
Optimisation - The Least Road Problem
Number Theory - Perfect and Mersenne Numbers, Repunits, Multiple-free Sets, Descent, The Distribution of Prime Numbers
Probability - Buffon's Needle
Ergodic Maths - Adding again and again...
Set Theory and logic - Infinity
Logic - The Propositional Calculus
Complex Numbers - The Mandelbrot Set
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Infinity
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation highlights the concept of infinity and its implications, as well as introducing the mathematician Georg Cantor and the arguments relating to infinity that he came up with.
The resource is designed to...
Hyperbolic Geometry
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation introduces Euclid's axioms and theorems and provides historic information on the development of geometric principles, as well as discussing hyperbolic geometry. A link to Non-Euclid software, from Joel...
The Propositional Calculus
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation challenges students to use the rules they have been given to develop a logical system and deduce theorems which prove that the system is complete and consistent and introduces the idea of truth tables to...
The Mandelbrot Set
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation explores the Mandelbrot Set, a topic from Chaos Theory, which involves complex numbers and the Argand diagram. Following a set of rules, students use a spreadsheet to establish if complex numbers, on the...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cx5q8 |
