This resource looks at the concept of recognising the differences between equations and identities. Students substitute numbers into algebraic statements in order to test their validity. Common errors are highlighted that can occur when manipulating expressions.

Students work on an exercise that involves...

This lesson develops the concept of using Pythagoras’ theorem to derive the equation of a circle and translating between the geometric features of circles and their equations.

The initial activity involves looking at a circle with end points of the diameter at (6, 0) and (–6, 0). Questions relate to...

This lesson develops the concept of using the equation of a circle. In particular students develop their knowledge of how to:

• Translate between the equations of circles and their geometric features
• Sketch a circle from its equation

In the introductory activity a circle has been...

This resource features a short task on different representations of functions.

Students are presented with a matching exercise in which they must link together equations, tables of values, worded statements, and graphs for both linear and quadratic functions.

This task is from the Mathematics...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore the properties of quadrilaterals using flow charts.

"Flow charts show the order in which a series of events is to be carried out. They are used...

The resources in this collection use everyday contexts, such as the design of music venues and airports, to encourage students to consider how materials need be tested for their suitability for a specific job before engineers in construction projects can choose them. The tasks ask students to think about what...

There’s sound and music all around us! This programme has pupils exploring the science of music and sound, creating music and instruments with a range of found objects, and even finding music in unlikely places.

The activities are introduced with a quick objective and a preparation guide. Individuals or...

This resource, published at a time when teachers had become aware of the tremendous need for motivational topics in mathematics, gives students an appreciation of, and insight into, mathematics and helps adopt an experimental attitude to the teaching and learning of the...

This 'weaving guide’ from the Nuffield Mathematics Project prepared to show how the main themes such as Computation and structure and Shape and size could become interwoven in work on a particular topic. The title should really perhaps be 'The geometry of inner space'. The human problems involved might form another...

This series of activities from NASA are based on a weekly series of space science problems distributed to teachers in the US, from 2004 to 2010. They were intended for students looking for additional challenges in the mathematics and physical science curriculum, from ages 9 to 19 years.

The problems were...

This series of activities from NASA take a mathematical approach to looking at space weather. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from age 11 to 19 years.

The problems were created to be authentic glimpses of modern...

Produced by the Learning and Skills Improvement Service (LSIS), these resources are aimed at mathematics practitioners. . Sessions in this resource look at: • Exploring right angles (using technololgy creatively and appropriately) • Shape - describing and visualising angles and lengths (encouraging reasoning rather...

Produced by the Learning and Skills Improvement Service (LSIS), these resources are aimed at mathematics practitioners. A range of sessions look at different aspects of space and shape. They illustrate a variety of teaching and learning approaches and allow practitioners to reflect and develop their skills....

This report, commissioned by the Gatsby Charitable Foundation, investigates the role of technicians in the space industry. The aim of the project on which this report was based was to inform government policy towards technicians by investigating their duties, the skills they are required to have, and how employers...

This is a lovely film clip which will help a range of students to feel that they can choose a career in science. Dr Aderin Pocock is a Space Scientist and a Science Communicator, but she explains how she moved around from school to school and was told that she probably wouldn't be able to do anything academic due...