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

"Revolving doors...

The network flow problem involves finding the optimum route through a flow network; a directed graph where each arc has a capacity and each arc receives a flow. Typical examples include: evacuation plans and delivery services. The problem involves students analysing the plan of a school canteen and deciding whether...

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...

This task is designed to assess how well students understand calculating the volume and surface area of a cylinder.

A drinks company is designing a can for a new drink that is to be sold in 200 ml cans. Students consider the effects of using different values for the radius of the can. They then go on to...

This resource requires problem solving skills to identify linear and quadratic relationships in a realistic context.

Students investigate covering square table tops with three types of tile; square tiles, half tiles, and quarter tiles. They create examples and then identify the resulting sequences.  

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This resource develops the concept of manipulation and calculation with polynomials. Particular attention is paid to switching between algebraic and visual representations of polynomial expressions.  

Students focus on sequences generated from shading in parts of ‘dot’ diagrams. As an example, (n^2...

This resources, from Siemens, looks at how an electric car works, the components of the system and the function of each component. Students research the charge and discharge cycles of a battery-powered device and consider the advantages and disadvantages of battery power. They look at what is meant by the capacity...

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 resource looks at the effective use of low energy light bulbs and how they have enabled the waterfront at Durban in South Africa to be transformed. The first activity sets the scene by showing how lighting is not only a technical process but has a social impact too. It then presents students with the challenge...

This is a concept development lesson that develops thinking on decomposing complex shapes into simpler ones in order to solve a problem. There is work on bringing together several geometric concepts to solve a problem. Students also find the relationship between radii of inscribed and circumscribed circles of right...

This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of calculating  compound interest over different periods of time (e.g. monthly vs. weekly). The task requires...