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

This ‘exponential rates of change’ activity introduces the differentiation of exponential functions. Students find gradients by drawing tangents and by using small...

This resource features five short tasks that involve expressing geometric properties with equations.

The topics covered are:

• Finding the equation of a circle.
• Finding the volume of a cone.
• Finding the equation of a line given a point and the equation of a parallel line.
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The teacher’s guide from the Shell Centre which accompanies the series of modules to support school-based assessment is the main guide to the materials. It makes some suggestions as to how the materials might best be used. It was not intended that this guide should be...

This collection features resources produced by Shirley Fall designed to enable high ability GCSE students to explore further mathematical topics beyond the scope of the syllabus thus bridging the gap between GCSE and AS level. The resources could also be used as...

A challenge testing mathematical, communication and teamwork skills.

• Senior Mathematics challenge

This resource is part of a collection of Nuffield Maths resources that explore Algebra and Maths. The demand is roughly equivalent to that in Higher Level GCSE and Level 2 Functional Mathematics.

In Factor Cards, learners practise expanding brackets and/or factorising quadratic expressions.

This resource contains two interactive excel programs which enable students to investigate cubic functions and the relationship between the factorised form and the graph.

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In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

This activity takes the form of a series of crosses in which numbers are placed into the left and right hand cells in such a way that the top cell contains their product and the bottom cell their sum. The combination of values provided varies requiring students to perform different tasks to solve the problems....

In the factors, multiples and primes activity students are required to use their knowledge of the properties of numbers to solve a puzzle. There are thirty three sequentially numbered figures to be shared between six teachers. The first has all factors of 36, the second has all prime numbers, the...

The relationship between third world countries and the developed world is demonstrated in this resource, from the Centre for Innovation in Teaching Mathematics. Students work in groups to make and sell shapes, which are bought by the class teacher who performs the dual roles of Banker and United Nations. Market...

In this Bowland assessment task, students decide the rate at which taxi fares are set. Students are provided with the price of diesel over the past eight years and use this data to decide what would be a fair price increase. Students are required to process the data to find a relationship between fuel costs and...

Scheduling jobs in a fashion workshop is the context for this Nuffield exploration. There are six people in the workshop and a series of jobs to be completed in one day.

The key processes which developed include:...

This activity requires students to investigate the mathematics behind fashion trends. The software contains an introductory short film that shows the CEO and Store Manager of a London boutique discussing how to be successful in running a fashion business. His...

This Mathematics Matters case study looks at how Formula One teams use mathematical methods such as fluid mechanics and Navier-Stokes equations to improve performance. Every second counts in the fast-paced world of Formula One, so race teams use advanced mathematics to squeeze the best performance out of their cars...