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Stacks

In this Nuffield interactive activity students are asked to explore, analyse and describe the patterns generated by moving counters between two stacks according to a fixed rule, always doubling the size of the smaller stack.

The key processes developed by this activity include:

*Representing -...

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...

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...

Outbreak

In this activity students explore the use of mathematics in a disease management context. Students assume the role of scientists attempting to contain the spread of a dangerous virus and are expected to locate infected people, develop a successful antidote and manage a large-scale vaccination programme. Students...

Number Stairs

This Subtangent investigation looks at the total of the squares inside a stair shape.

Initially students investigate the relationship of the totals of a three step stair and its position on a 10 by 10 grid.

Using algebra, students may discover a general rule which applies to any stair on the grid....

Mystery Tours

This task consists of three activities and provides students with the opportunity to explore the use of mathematics in a travel and tourism context. Students adopt the role of newly-appointed managers at a travel company and are required to plan a tour of the UK, choosing the destinations, transport and...

Mission: Rainforest

In this activity students adopt the role of a small team of undercover environmentalists, deep in a tropical rainforest, on a mission to investigate and expose the illegal activities being carried out by a multinational logging organisation that is destroying the planet. Rainforest involves four lessons: *...

Loopy Snooker

A special snooker table is the basis for this investigation from Subtangent. There are only four pockets on the table and you can only play the ball at 450 to the sides of the table. The ball begins from a given corner of the table and keeps moving until it hits a pocket. The number of bounces is...

Leapfrog

The frogs in this Subtangent investigation have to be moved from one set of lily pads to another, following specific rules. This classic investigation is suitable for a wide age range of students. The number of frogs on each side can be varied, allowing further investigation and generalisations for the number of...

In or Out?

In this activity students are asked to construct a simple mathematical model to help decide whether or not the umpire has made the correct decision. Students are required to revisit and test assumptions made in their initial model, make estimates of likely uncertainty and apply their model to similar situations....

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