Resources by Carom Maths

The Least Road Problem

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

In this presentation students have to find the least amount of road needed to enable each town to be linked to others in a variety of scenarios. There is an explanation of the common theme to be found in the examples and the...

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...

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...

The Overlapping Circles

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

In this activity the equations of the lines, which are formed at the points of intersection of three circles, are explored and an Autograph file is used to show what happens when the equations of the circles are added...

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...

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...

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...

V, S and E

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

There are six ways to write the total edge length, total surface area and volume of a cube, or cuboid, in order of size. This presentation challenges students to find a cube for each order. Autograph files are provided to...

Wallpaper Patterns

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

Wallpaper patterns all have one thing in common; they are all produced by repeating a single fundamental tile by translation, that one basic rule gives rise to a range of possible patterns, each with their distinctive...

What Are You Implying?

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

This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.

This activity is designed to explore aspects of the subject which...