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,...

The Nuffield Foundation provide this resource for students to collect data and then use statistical methods to analyse the results. The activities require that students investigate the extent to which people follow the advice from the Department of Health, which recommends that everyone eats at least five portions...

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 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...

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...

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 Core Maths task investigates various aspects of gambling. Students investigate various aspects of gambling and helps develop a realistic...

This package of Core Maths resources ask students to produce a quote for a building a garden following a simple plan. Students are asked to use volume and area calculations, unit conversions and create precedence table and activity network.

Garden design: Overview
This teacher guide...

The Nuffield Foundation provide this activity which uses graphical methods to find a suitable model to connect two sets of data. There are a variety of ways in which the data could be used, depending on the focus required. It is possible to use a log graph to find an exponential model, which is the intended focus...

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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