Act 1

A simulation is shown of a Ferris-wheel, where one of...

This lesson develops the concept of area of a circle. In particular students will:

• Sketch and construct loci involving arcs of circles
• Calculate the area of a circle, given its radius
• Calculate the radius of a circle, given its area

The opening question is about a goat...

This lesson develops the concept of ‘Greatest Common Factor’ (GCF) and ‘Least Common Multiple’ (LCM). The central theme is to separate out the two concepts.

There is an introductory ‘guess my numbers’ activity. The GCF and LCM of a pair of numbers is given and students must work out what the numbers are,...

Students work in teams to design and make a prototype device that can design and make a prototype of a simple device (to be sold in stores like B&Q) that will allow homeowners to remove water from their house during periods of flooding.

In this challenge the device will have to move 100ml of water from...

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 science, design technology, engineering and mathematics. 

In this activity pupils calculate the amount of energy needed to launch a space...

A diagram is shown with a circle, centred on a rectangle with given dimensions.  Semi-circular arcs are drawn with the sides of the rectangle as diameters. The areas between the semi-circles and the circles form crescents. The task is to calculate the area of the crescents.

When working on the numerical...

In this lesson plan and associated presentation from CensusAtSchool, students are asked to remember how many frogs are on a slide when they have only had a few seconds to look at this. A student who has not been present is then asked to question the students about how many frogs were on the slide. Students will...

In this activity, students investigate what is meant by fuel poverty. This could be used as a starter activity in mathematics or design and technology, with a focus on economic reasons for the development of sustainable power sources. Using the slides as stimulus...

In this activity, students interpret graphs to identify trends and the people who are affected by this fuel poverty. Learning outcomes include:

*To understand that mathematics is used as a tool in a wide range of...

In this resource the head of a circular snowman rolls around its circular body to make one trip back to where it started. The ratio of the diameters of the circles is given. The challenge is to find how many times the head will revolve throughout the journey, and find a general rule.

The resource contains a...

A section of a regular polygon is shown with diagonals drawn from a hidden vertex. The angle between two diagonals their corresponding sides are given. The challenge is to work out how many...

This extension activity, from the Institution of Engineering and Technology (IET), follows on from the How Much Waste?...

This activity, from the Institution of Engineering and Technology (IET), challenges students to calculate the dimensions of an underground tunnel system. Students are encouraged to move beyond an ‘out of sight, out of mind’ approach to sewage as they use and develop...

This activity focuses on the link between water usage at home and the number of people living in their household, as well as comparing the water usage within the UK to that of other countries.

Students estimate how...

This activity focuses on the link between the UK’s current water usage and the predicted increase expected in the future. Looking at a water board website, students think about how the website is set up and the formulae that are being used. They then work in groups to...