From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how changing the assumptions which a model is based on can change the way it behaves. It is important to compare predictions from a model to what we know happens in real life. This unit...

The Nuffield Foundation provide this resource which enables students to carry out significance tests on proportions and test hypotheses about successful applicants to higher education. The data provided on information sheet A is simulated but similar to real data available on the UCAS website. Information sheet B...

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...

Using a set of simple ‘swap puzzles’, this CS4FN activity helps students to learn, fundamentally, what an algorithm is and how they can be made more efficient. Students are encouraged to create algorithms for solving the puzzles which can be used by future players to win, with no understanding of the game, in as...

These technical briefs focus on low cost approaches to accessing energy. This is vital to health and well being and low costs are particularly important to poorer communities in the developing world.

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...

This resource focuses on some research data into the prevention of anterior cruciate ligaments (ACL) injury. The activities included in this resource will enable students to develop their ability to evaluate claims based on science through critical analysis of the methodology, evidence and conclusions, both...

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...

This unplugged activity from the CS4FN team uses two examples – an insulting computer and one that can play snap – to look at simple computer programming, flow of control and logic. Everything is provided for this front-of-class activity, which would act as an effective starter for a lesson on programming concepts...