This series of Core Maths resources explore using linear programming to maximise profit in a number of different situations.

Maximising Profit: Linear Programming Examples
This package contains three different examples for students to explore, rocking horse manufacture, minibus travel...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that income is not equally distributed among all the inhabitants of a country. This can be shown visually using a graph and also measured. The mathematical ideas covered are:
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In this lesson, students will investigate some of the meteorites and associated rocks in the loan box. They will test them for magnetism, do a visual analysis and measure their mass to calculate the densities of their items. This activity is particularly geared towards getting students to estimate the volume of the...

In plants, cell division by mitosis takes place in specific tissues, called meristems, that are found at the growing root and shoot tips and in the cambium between the xylem and phloem of the vascular bundle. The cells in the meristems are...

Produced by the Wellcome Trust Sanger Institute, in this activity students have to use their observational skills to identify and record the difference (phenotypic change) between two images, one wild type zebra fish and one mutant zebra fish.

To aid in their diagnosis of the phenotypic change, a glossary...

In this activity from the Nuffield Foundation, students match descriptions of a variety of real scenarios involving motion with the corresponding velocity–time and displacement–time graphs. Several issues will be discussed while completing this task and students will also have to consider how realistic or...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that derivatives can help to manage risk. The market in derivatives has grown enormously in recent years. On average, speculators break even. The mathematical ideas covered are:
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In order to avoid predators, the caterpillars of some species of moths rest during the day by masquerading as twigs, well-camouflaged and keeping their bodies rigid and still. The aim of the investigation is to determine if caterpillars of the peppered moth show a preferred angle of rest. Students look at a series...

In this Core Maths task students construct line graphs for time series data, calculate the moving average and interpret the graph, stating conclusions.

Moving Averages: Front sheet
This teacher guidance gives an overview of the task including prior student knowledge, suggested...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how money which circulates has a greater effect than could be expected. The activity starts by students predicting on what they will spend their wages when they get a...

These resources consider adaptation and competition in the context of carnivorous plants.

This module uses carnivorous plants and their habitats as a stepping-stone for exploring broader ecological concepts, in particular the structure of an ecosystem and predator-prey relationships. Students will engage in...

This series of five one-hour lessons covers computer networks at secondary-school level. The objectives of the lessons are:

• Describe what a network is, the difference between a LAN and a WAN and identify three network topologies.
• Describe pieces of hardware that are needed in a network.
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This series of Core Maths presentations explore various network problems in a variety of contexts.

Networks: Teacher Guide
The teacher guide presentation contains four network problems with detailed solutions to the first two questions.

Networks: Problems
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The main aim of this resource is for students to understand the impacts of anthropogenic nitrogen pollution on heathland plant communities. The resource provides practical, scientific investigations without the need to organise a field trip.

The resource is divided into three separate activities:
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The Nuffield Foundation provides this activity where students suggest types of function to model ozone hole data, before using a graphic calculator or spreadsheet to find at least two particular models. They then consider how well their functions model the data and what they predict for the future. The slideshow...