This problem involves using vectors to model 3D space. Two skew lines are presented and the challenge is to find the shortest distance between the lines. In addition, the...

The task is to consider the process of making estimates to use in calculations before moving to the specific task of estimating the total surface area (i.e. skin area) of a volunteer. This is a readily accessible task, with students only needing basic measurement and...

In this resource scalene triangles are drawn on a square grid. The challenge is to find the area of the triangle.

On each student worksheet there is a different triangle, but the solutions all have something in common.

One way to find the area is to enclose the triangle in a right-angled triangle, and...

This resource focusses on measuring time, by recording the time it takes to complete a walking race. In small teams, pupils will time each other with a stopwatch and record the data. The results will then be sorted and discussed as a class using terms such as, faster, slower, quicker etc. This activity could be...

This is one of a series of resources to support the use of the BBC micro:bit.

In this activity pupils will make use of the BBC micro:bit to design and create a programmable system that can control the temperature and soil moisture levels in a ‘smart’ greenhouse. They will analyse a design brief and design...

This activity introduces children to simulations - modelling or acting out real-world, or maybe imaginary, situations. Linking to the teaching of space, it asks what factors need to be considered when simulating the solar system. Out of these, the children then decide what the most important things to include in...

This is one of a series of resources from the IET designed around the theme of the future of flight with the purpose of developing pupils knowledge and skills in design technology, engineering and mathematics. Jet engines used on aircraft produce...

This lesson develops the concept of using geometric properties to solve problems. In particular students develop their ability in:

• Solving problems by determining the lengths of the sides in right triangles using trigonometry
• Finding the measurements of shapes by decomposing complex shapes...

This resource develops the concept of solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring.

The resource is set in the practical context of a bus cutting a corner that has a cycle lane. When a bus turns a corner, it must swing out so that its...

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 outreach programme aimed to build upon good practice from the Royal Society of Chemistry's (RSC) project Chemistry for our Future, and to develop new activities which could then be used with the RSC’s Spectroscopy in a Suitcase (SIAS) equipment. It explored appropriate contexts which may appeal to students...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore the mathematics behind bicycle speedometers, including circle properties and compound measures.

"Bicycle speedometers can only provide accurate...

The Nuffield Foundation provide this activity for students to consider the difficulties in using real data, from the Department of Trade and Industry, to identify which sport is the most dangerous to participate in. The data includes the age and gender of patients requiring treatment at a sample of hospitals after...