There are a series of 8 sided polygons for which the areas are to be calculated. The area of each one turns out to be the same. This provides a lead in to asking how the...

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

This presentation describes the concept of Tangles, which were the idea of John Conway. Students are given some rules from which they create the tangle representing 2/5, before creating their own tangle numbers for others to...

A cannon ball is fired and passes through two given points. The task is to discover the range of the cannon ball, the angle of projection, and the initial velocity. Solving the problem involves...

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

This presentation begins by introducing students to the technique used to find the radical of an integer before progressing to the ABC conjecture, which is recognised by mathematicians as being an important unsolved problem...

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

This presentation looks at the theorem of cross-ratio, of four complex numbers, which is of great interest in a field of mathematics known as projective geometry and has an ancient history.

The activity is designed to...

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

In this activity the distribution of prime numbers, proved by Hadamard and de la Vallée Poussin in 1896, is investigated using an Excel spreadsheet program, Autograph and the Prime Number Theorem.

The resource is...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore the nature of the exponential function and to explore the derivative of the exponential function.

An introduction page sets out some basic information about exponential functions leading to a...

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

Colouring maps, so that no two countries sharing a border are shaded with the same colour, is the focus of this presentation, which includes both the history and mathematical proofs to this problem.

This activity is...

Carom Maths provides this resource for teachers and students of A Level mathematics. The Game of Life is a simulation of how a population might grow, if subject to a few simple rules. Initially students try the rules out for themselves on squared paper, before following a link to a computer program that shows the...

In this Core Maths task students are introduced to a new species of jellyfish that has been found off the Sussex coast and nicknamed ‘jellyblubbers’ by local people. It impossible to count how many ‘jellyblubbers’ are present, but some data has been collected and is being analysed for the purpose of answering the...

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...

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...

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...

In this activity, students are posed the problem of how a coffee machine should be adjusted to meet certain criteria by either adjusting the mean value of the coffee produced or adjusting the standard deviation. The presentation ends showing the solution to the problem.

This resource is part of the Making...

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...