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Growing More

This rich task from Cre8ate introduces students to a Latin Square, where each row and each column has all the variables once and only once. Students may be aware of Sudoku puzzles which are based on this scenario. They are challenged to find 12 different designs which satisfy the stated conditions for planting...

Flight Charges

Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an...

Fire Hydrants

This Nuffield activity asks students to experiment with the placing and number of fire hydrants required in a city with square blocks that form a rectangular grid.

Key processes developed in this investigation are:

*Representing - diagrammatic representation and moving to more abstract mathematical...

Ferries

This Cre8ate maths activity allows the opportunity to discuss the modelling function of mathematics. The tasks allow students to develop their own strategies and to consider the idea of an ‘efficient’ algorithm. In addition, 'First fit and full bins' activity involves work on ratio and pie charts.

Fashion Entrepreneur

Scheduling jobs in a fashion workshop is the context for this Nuffield exploration. There are six people in the workshop and a series of jobs to be completed in one day.

The key processes which developed include:

*Representing - identifying factors that affect decisions, producing a clear plan for the...

Designing Logos

In this activity from Cre8ate maths students are encouraged to experiment with different kinds of symmetry to create a suitable logo.

There is an exercise in using symmetrical properties to reproduce previously designed logos and this activity is complemented by Creating a logo, which gives students a free...

Corner to Corner

In this Nuffield activity students investigate how different numbers of squares can be joined corner to corner and the effect their arrangement has on the area of the rectangle that encloses the squares.

The key processes developed in this activity are:

*Representing - determining which aspects to...

Bricks and Tiles

This activity from Cre8ate maths investigates the lines of horizontal and vertical weakness in walls. Initially students are shown four walls and have to identify the lines of weakness in them, before finding the smallest rectangular solution which has no lines of weakness. Students should record their designs as...

Beach Guesthouse

This Nuffield exploration is a simulation of a booking system for a small guesthouse. Students have to manage the bookings and, as far as possible, arrange to give people the accommodation they request.

The key processes in this exploration are :

*Representing - finding and using alternative ways to...

Average Limits

In this Nuffield investigation students explore limiting values of an iterative process, using arithmetic, algebra or spreadsheets. Students can move from identifying patterns to forming, verifying and proving conjectures.

The key processes developed in this activity include:

*Representing - moving...

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