Resources by Carom Maths

Geodesics

Carom Maths provides this resource for teachers and students of A Level mathematics.

A geodesic is the shortest distance between two points and here two problems involving cuboids and cylinders are investigated.

The resource is designed to explore aspects of the subject which may not normally be...

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...

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...

Inequalities

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation starts with the inequalities associated with triangles and challenges students to develop proofs of the inequalities found in other situations, using the arithmetic, geometric and harmonic means.

The...

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...

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...

Kites and Darts

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students explore non-periodic tiling patterns using templates of kites and darts, as well as discovering the many remarkable facts to be found in these tilings.

The resource is designed to explore...

Mapping a Set to Itself

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students are given a function and explore the mapping of natural numbers, as well as being challenged to find the inverse function. A link to the online encyclopaedia of integer sequences is provided for...

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...

Pearl Tilings

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation explores the effect of placing a single tile into an existing pattern which tessellates, referred to as a pearl tiling. New descriptions and notation are introduced and questions regarding regular polygons...