This collection offers students, and their teachers, a set of interesting, exciting problems. Each problem is designed to develop thinking, reasoning and problem solving skills. In completing the activities students will be required to represent a situation in mathematical terms, analyse models, interpret, evaluate and communicate their results. The case studies are very different from each other, both in content and style.Topics range from real issues to fantasy worlds, but all set in contexts to which students can relate. Each case study is designed to occupy three to five lessons and contains materials for students, teachers’ notes and lesson plans. Many are based on ‘open’ questions with no one right answer and most can be tackled on different levels. Most of the case studies require access to some form of ICT.

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Crash Test

In this activity, students use computer software to explore the impact of car crashes under varying conditions and the effects on a simulated dummy. Students can select a car, a crash point and a speed, then watch an animation of a crash and see the results as physical impact on the dummy and as numerical data....

Football

This activity is based around video clips of the Swanscombe Tigers youth football team training and preparing for a game. There are three activities: • Pre-Match training which features several video clips showing players carrying out different football-related training tasks. Based on the players’ performances,...

Highway Link Design

This activity challenges students to design, and agree on an optimal route for, a village bypass, subject to the Highways Agency constraints for road design. Students use the provided software or physical resources and measure lengths of lines and curves, fine tune cost-benefit trade-offs, interpret data, convert...

How Risky Is Life?

In this activity, students explore the miss-match between real and perceived risk by exploring the risks of dying unexpectedly from various causes. Starting from known fears and comparing them with real-life data, students can recognise that these fears are often unfounded. Students have the opportunity to learn...

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