This resource consists of ten topics, each section containing a brief explanation, examples and exercises.

Sets begins with a definition of a set and continues with the elements of a set, set notation, subsets, intersection and union of sets, Venn diagrams, the laws of sets and concludes...

In this activity, students are required to find a safe route through a notoriously perilous region of space called the Twilight Nebula.

They will be faced with a number of different threats but can maximise their chances of survival using a series of threat assessment readouts. Students will compare fraction...

In this resource from the DfE Standards Unit, students explore trigonometrical graphs by recognising translations, stretches and reflections from their equations, sketching the graphs and learning about the period and amplitude. Students should be familiar with the graphs of y = sin x and y = cos x and have...

This activity, from Shirley Fall, contains ten linked problems which are intended to lead to students developing a rule for integrating functions of the form y=ax n where n not equal to -1. Problem 1 begins by exploring the area enclosed under a straight line y=2x+3 from x=0 to x=a for varying values of a, leading...

In this resource from Shirley Fall, students are presented with a general straight line y=mx+c and are shown that the gradient of the line between any two points that lie on the line is always equal to m. Students should be encouraged to explain the proof to check...

This activity, from Shirley Fall, requires students to use and interpret function notation, sketch graphs using key points, explore the common transformations of translate parallel to the y axis, translate parallel to the x axis, stretch parallel to the y axis from the...

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...

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...

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 lesson plan with starter, main and plenary from CensusAtSchool suitable for Year Eight students develops the concept of ratio. Students will Investigate the Golden Ratio (also known as Phi) using the ratio of height to belly button height data collected and presented as a dataset.

The resource comes...

This mathematical activity provides students with the opportunity to solve a realistic animal care problem and become active problem-solvers. Students are encouraged to make a mathematical model of a real-life situation, identifying and incorporating relevant factors, obtain information relevant to the problem,...

This resource contains a short presentation which introduces three problems where approximate solutions can be calculated.

The first activity asks students to use Fermi estimation to calculate the quantity of tea used in China in a three month period. Students are also invited to calculate an estimate of the...