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...

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...

The IDEAS training materials are for use on continuous professional development courses to support the teaching of ideas and evidence in school science. The materials offer six in-service CPD sessions, which take approximately half a day each. Ideas and approaches for lessons are illustrated using materials...

This in-service training pack, from the Centre for Science Education, was developed to help subject leaders to make effective use of the Engineering a Better World resources. The aims of the pack are to:

*enable leading teachers to develop their team's experience and expertise when integrating engineering...

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

This presentation starts with the inequalities associated with triangles and challenges students to develop proofs of the inequalities found in other situations, using the arithmetic, geometric and harmonic means.

The...

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

This presentation highlights the concept of infinity and its implications, as well as introducing the mathematician Georg Cantor and the arguments relating to infinity that he came up with.

The resource is designed to...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows how regular sampling of a variety of prices is used to get a measure of inflation. There is more than one possible way to do this. A measure of inflation is used to...

This toolkit looks at how inflation is measured and what the data is used for. Students can use the Shopping prices comparison tool and data from the Consumer Prices Index including owner occupiers’ housing costs (CPIH) dataset. They can use them to explore the implications of inflation for consumers, businesses...

The initial problem looks at an area given between two curves. The first curve is a parabola with the x and y axis intercepts given. The second curve is a stretch parallel...

This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of calculating  compound interest over different periods of time (e.g. monthly vs. weekly). The task requires...

This presentation and collection of short activities, from Eurostemcell, introduce basic stem cell concepts and include teacher’s notes with each slide and useful diagrams. The materials include:

 Presentation: Introducing stem cells

• Stem cell biology basics: for post-16 students,...

This resource is an interactive activity which aims to provide an introduction to the lowland heathland habitat. The five topics relating to lowland heathlands covered by the resources include: • The biotic components of lowland heathlands, focusing on plants • The biotic components of lowland heathlands, focusing...

A detailed presentation from Ben Houghton, data scientist at Barclays PLC. It is good introduction to Big Data and the three Vs (volume, variety and velocity). Other topics covered are machine learning and its use in fraud detection, legal and data privacy challenges and technology bottle necks caused by...

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

This presentation begins with a reminder of some transformations of the plane before introducing the less well known transformation of Inversion. Students are able to experiment with an Autograph file to explore this concept...