Due to problems in the manufacture of tinplate coils, the edge of the strip can be slightly longer than the centre. This causes a 'wave' on the wall of the coil but can be rectified by differentially stretching the strip to make the edges flat. Students are required to apply Pythagoras' theorem to find the radius...

In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.

The first step towards solving the problem...

In this section you will be able to explore: * The challenges and issues faced in post-16 mathematics education. *The research underpinning the approaches adopted by the Standards Unit to meet the challenges. *The experiences of the teachers and trainers in the pilot.

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

This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.

This activity is designed to explore aspects of the subject which...

In this task students are required to estimate dimensions and use given densities to calculate an estimate for the mass of a number of objects. Calculators and/or spreadsheets are recommended when substituting into the formulae for the volume and mass of the solids.

The teachers' notes give a suggested...

This resource is part of a collection of Nuffield Maths resources exploring Calculus. The demand is roughly equivalent to that in GCE A level.

Students solve differential equations to find functions to model the value of a car in terms of its age. Then they compare their results with real data.

A function is defined so that f(xy) = f(x) + f(y) for all positive integers x and y. Students are given the value of f(10) and (40) and are challenged to determine the value of f(500).

In each student worksheet contains different values for f(10) and f(40) but for...

This Core Maths activity includes four problems that remind students of familiar probability theory concepts, enable discussion and highlight possible misconceptions.

Wheels of fortune: Teacher Guide
This teacher guidance introduces the task, details the materials required and...

Produced by the Learning Skills Improvement Service (LSIS), this case study tackles the theme of progression through STEM subjects. By Newham Adult Learning Service, it describes an action research project that aimed to capture progression and learner voice data from a sample of learners who had recently completed...

Produced by Rolls-Royce, this series of case studies illustrates the wide range of career opportunities that are opened up for students with skills in science, technology, engineering or mathematics. They can be used to give careers advice and guidance to students as well as to illustrate the curriculum principles...

Produced by Rolls-Royce, this entertaining video clip takes the form of an animated rap which describes a range of career opportunities open to students with skills in science, technology, engineering or mathematics (STEM). It makes a good...

This resource can be used as an introductory exercise into mathematical modelling. The problem is to decide on the winning team in a race. Students need to examine the data and decide on a model to determine the winner.

This open ended Core Maths task, suitable for group work, provides opportunities for work with number, statistics, graphs and spreadsheets.

Students are given a data sheet about plastic bottle production at three factory sites. The data includes cost of heating, lighting and ...

This Core Maths task explores how standardised scores can be used to make comparisons.

The materials include a list of pupils and their marks in different subjects. They also contain the mean and standard deviation scores for each subject. By standardising the scores the...