This activity focuses on the link between the UK’s current water usage and the predicted increase expected in the future. Looking at a water board website, students think about how the website is set up and the formulae that are being used. They then work in groups to...

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...

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 lesson develops the concept of identifying similar triangles. In particular students will:

• Use facts about the angle sum and exterior angles of triangles to calculate missing angles
• Apply angle theorems to parallel lines cut by a transversal
• Interpret geometrical diagrams using...

This lesson develops the concept of percentage increase and decrease. In particular students will develop their understanding of:

• Translating between percentages, decimals, and fractions.
• Representing percent increase and decrease as multiplication.
• Recognizing the relationship...

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...

Using the context of the Nintendo Wii, this starter activity develops an understanding of the terms system, input, process, output and signal, and asks students to identify these features in some common products which are shown in the presentation.

This is a concept development lesson that develops thinking on decomposing complex shapes into simpler ones in order to solve a problem. There is work on bringing together several geometric concepts to solve a problem. Students also find the relationship between radii of inscribed and circumscribed circles of right...

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 resource develops the concept of using a distance time scatter plot, finding a function that links the variables, and then using the results to decide upon a rate. 

The resource is set in the practical context of distances and times a taxi cab takes for 40 journeys. The resulting scatter plot is used to...

This is a problem solving lesson, designed to assess how well students are able to:

• Interpret data and evaluate statistical summaries
• Critique someone else’s interpretations of data and evaluations of statistical summaries

In addition, the lesson highlights some of the common...