A case study from Mathematics Matters which looks at the development of optical fibres and how mathematical models have simplified the process of producing them. Modern society relies heavily on a variety of networks, but we don’t fully understand how they behave. Mathematical network theory lets us create models...

In this activity students explore the use of mathematics in a disease management context. Students assume the role of scientists attempting to contain the spread of a dangerous virus and are expected to locate infected people, develop a successful antidote and manage a large-scale vaccination programme. Students...

These materials, produced by the Centre for Innovation in Mathematics Teaching (CIMT) for the primary extension of the Mathematics Enhancement Programme, include the pages from Practice Book 6a with detailed lesson plans and all necessary resources to accompany them.

Students learn to solve algebraic...

With the introduction of the revised National Curriculum programmes of study, one of the Hampshire Leading Mathematics Teachers’ (LMT) core groups decided to focus on activities to promote cross-curricular STEM work in schools.

Mathcentre provide these resources which cover aspects of sequences and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include sigma notation, limits of sequences and the sum of an infinite...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of mechanical engineering. Here students learn that lack of proper insulation results in large energy losses which, over time, cost a lot of money. Models are used to calculate the value of the critical...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the mechanical and civil engineering industry. Here students learn how calculations for displacement, velocity and acceleration, caused during loading, are used to ensure that they are not so large as to adversely...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of sports technology to compare the potential for injury to the knee or ankle when cycling and when jogging. Students model a situation involving oscillations, looking at inertial forces, Newton’s Laws...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing highway machinery. Because a driver has to remain in the same machine for almost eight hours each day, the vibration amplitudes of the operator’s seat, which should be kept as low as possible, are a key...

A Mathematics Matters case study which looks at how advances in statistics allow us to analyse risks and consequences and so make informed decisions. Risks are an unavoidable part of modern life, but mathematicians and statisticians have developed a variety of methods to help mitigate its effects. These techniques...

This National Strategies booklet describing teaching approaches that can be used to develop mental mathematics abilities beyond National Curriculum level five. The activities described build on and develop activities suggested in Teaching mental mathematics from level five: number.

The resource includes...

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...

Mathcentre provide these resources which cover aspects of trigonometry and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include the trigonometric ratios, using Pythagoras’ theorem, cosecant,...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when building an underground storage tank, with an elliptical cross section. Health and safety requirements apply and the depth to which the tank must be buried is established using the 2D geometry of an ellipse,...

Mathcentre provide these resources which cover aspects of vectors and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to vectors, calculating the vector and scalar...