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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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Siders
Carom Maths provides this resource for teachers and students of A Level mathematics.
A motif, seen on the floor of a cafe, prompts an investigation into whether or not it is possible to use the kite shapes to form an exact polygon and leads to some interesting discoveries.
The resource is designed to...
Buffon's Needle
Carom Maths provides this resource for teachers and students of A Level mathematics. This presentation introduces an explanation and a simulation of Buffon's Needles experiment, that yields an approximation for π, before developing the experiment further by asking what would happen if the shape of the needles were...
Curves of Constant Width
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation introduces the Reuleaux Triangle and shows how to construct a curve which has a constant width, as well as Barbier's Theorem and the Isoperimetric Inequality. Three dimensional shapes are also investigated...
Multiple-free Sets
Carom Maths provides this resource for teachers and students of A Level mathematics.
In this activity a set of numbers is referred to as multiple free if there is no pair of numbers in the set such that one is a multiple of the other and the challenge is to find the largest multiple free set from the first...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cx5q8 |
