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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Point Zero

In this activity, students assume the roles of various characters placed in difficult situations e.g. investigating a malfunctioning lift system, attempting to avoid activation a floor-based alarm, escaping from an underground railway network. Students will need to use thinking skills, reasoning skills and problem...

Reducing Road Accidents

This activity provides the opportunity for students to appreciate how mathematics plays a part in everyday life. The town council has allocated £100,000 to spend on reducing the number of deaths and serious injuries due to road accidents. Students are expected to adopt the role of planners who work in small teams...

Save a Baby Kangaroo

In this activity students take on the role of an adult in the Australian Outback who whilst out horse riding finds a female kangaroo that has just been killed on the road by a passing truck. Her joey is still alive in her pouch. Through video clips, photographs and data, students become familiar with a range of...

Speed Cameras

In this activity, students are presented with the question: “Do speed cameras reduce road casualties – or not?”. The activity is set in the context of media reporting to explore ideas of randomness, probability and drawing conclusions from data. A secondary theme is the mathematical modelling of a real situation....

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