A hyperbola is given with a parabola ax²  touching each branch of the hyperbola at single points. The task is to determine the value of a.

A formal proof of the general situation involves substituting the equation of the parabola into the equation of the hyperbola. The...

This program begins with graphs of the hyperbola in the form x²/a^...

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...

This collection of Nuffield Maths resources explores Hypothesis testing. The demand is roughly equivalent to that in GCE A level. 

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The activities in this workbook cover the ideas of statistical significance, type I and type II errors and the power of a test. The relationship between power and significance in the context of tests of means is considered and the final spreadsheet shows how to conduct a chi-squared test of association in a...

This resource looks at the effective use of low energy light bulbs and how they have enabled the waterfront at Durban in South Africa to be transformed. The first activity sets the scene by showing how lighting is not only a technical process but has a social impact too. It then presents students with the challenge...

This guide explains the intentions of the Nuffield Mathematics Project, gives detailed descriptions of the ways in which a changeover from conventional teaching can be made and faces many of the problems that will be met.

The contribution of the psychologist Piaget to the development of mathematics is...

A set of resources aimed at primary-aged pupils from the Institution of Engineering and Technology (IET) using Ancient Egypt as a theme. The resources include activities to develop knowledge and skills in design technology and maths with cross-curricular links to history, geography, art and literacy.

This selection of resources from the Institute of Engineering and Technology (IET) provides a range of creative, cross curricular and topical ways of delivering the STEM agenda through Christmas themed activities. Aimed at primary aged children, each resource has an accompanying plan, worksheet and all answers are...

The IET Education programme has been developed by the Institution of Engineering and Technology, Europe’s largest professional organisation in the field. The aim is to introduce a new generation to the sheer excitement of science, technology and engineering.

These resources include cross-curricular classroom...

This resource collection, from the IET Education programme with support from MEI and Tomorrow's Engineers, contains a number of stimulating maths actives that give an insight into the real-life applications of classroom-based mathematics. The resources give students the chance to...

A series of resources designed to explore the future of flight and the aviation industry. Resources develop pupils knowledge and skills in engineering, technology, mathematics and science. 

This set of resources combine sport with engineering showing how STEM influences sport in many areas from making a sensor to test a waterlogged sports pitch to presenting fitness data. Each activity is mapped to the curriculum and comes with lesson plans and presentations. 

This set of resources combine sport with engineering and showcase the many ways that STEM influences sport as well as the variety of different career paths. Activities range from using fractions and probabilities to build a football team to designing their own football kit. All are mapped to the national curriculum...

Six mathematical career case studies from the Institute of Mathematics and its Applications.

• Robyn Smith - Operational Research
• Ruth Amos - Inventor, business owner and trustee
• Zoe Kelson - Mathematician and Business Development Manager
• Claire Burke - Climate change...