This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

• Classifying numbers as rational or irrational.
• Moving between different representations of rational and irrational numbers.

 An...

The first activity in this resource asks students to consider x = 5 and answer the question ‘what value is y’? An initial discussion builds up understanding of graphical representations of linear equations.

This lesson develops solving pairs of linear equations by considering their graphical representations...

These Cre8ate maths activities require the use of averages, ranges, percentages, histograms, stem and leaf displays, pie charts, and tables to make comparisons, interpretations, and conclusions. They also provide real data about pupils for analysis. Performing the “How far can you …?” events in the classroom will...

This collection from Teachers TV features videos, covering a wide range of mathematics topics, which are intended to be shown in class. Often ideal for use as as a lesson starter, some show practical applications of mathematical principles which pose problems for students to solve. Areas covered include:

*...

When you have a set of data the first thing you need to do is to check it out and eliminate any obviously wrong or false data. This is called “Cleaning the Data”.

This resource from CensusAtSchool provides a...

Science and engineering represent great opportunities for magic. This book contains some amazing and easy-to-do magic tricks based on secret chemistry, physics, engineering and mathematics. The description of each trick explains the effect, how it works and hints and tips for performing the illusion. The illusions...

This toolkit from Plus magazine and Arctic Survey Education looks at models of climate change and sea ice growth.

The toolkit can be downloaded as a whole or as the individual components, which are:
• Arctic supermodels - background article
• Modelling ice thickness - worksheet and worksheet...

This resource explores the application of flow charts, algorithms and mathematical based careers. Student pairs take it in turns to roll a die and travel along the board, racing through primary school, GCSE revision and work experience towards a successful career.

The resource...

Because of the shape of the Earth’s orbit around the Sun, it is farther away from the Sun in July than it is in January. Still, we have colder days in January than in July. How is this possible? Through this mystery, students will investigate the orbit of the Earth around the Sun and its influence on solar energy...

In this Nuffield investigation these resources from AMP, co-funded by the Clothworkers and Nuffield Foundation, students investigate how many positive integers are less than and co-prime to any given positive integer. This activity requires some confidence with the co-...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore geometric constructions through the concept of machine programming. The resource explores how computer controlled machinery could construct shapes,...

Act 1

A container in the shape of a trapezium based prism...

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...