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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....

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...

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...

Golden Mazes

In this Nuffield resource rooms in a rectangular maze of rooms have bags with a varying number of gold coins. Students explore the effect of the route on the number of gold coins that can be collected.

The key processes involved in the activities are:

*Representing - identifying the mathematics...

Galton's Quincunx

This Subtangent investigation is based on the probability of balls, which are dropped through a triangular array of pins (a quincunx), into slots beneath. Every time a ball hits a nail it has a probability of fifty percent to fall to the left of the nail and a probability of fifty percent to fall to the right of...

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,...

Fashionista

This activity requires students to investigate the mathematics behind fashion trends. The software contains an introductory short film that shows the CEO and Store Manager of a London boutique discussing how to be successful in running a fashion business. His suggestions include: analysing age group buying patterns...

Diagonal Differences

This Subtangent investigation looks at what happens if the numbers in opposite corners of a three by three square, placed on an eight by eight grid, are multiplied then their difference found. Using algebra, students may discover a general rule which applies to any three by three square placed on the grid. Students...