Resources by Bowland Charitable Trust

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German or English?

Students are presented with two pie charts, one showing the number of letters in words in a sample of English text, the other showing the number of letters in words in the same sample of text written in German. Students are also given another sample of text showing the number of letters in each word but with the...

Golden Rectangles

This Bowland assessment task takes students back to the American ‘gold rush’ of the 19th century. Prospectors can rent an area of land. Each explorer is given four pegs and a 100m length of rope and can make a rectangle shape of whatever dimensions they choose. Students explore what is the maximum area they can...

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...

Hilbre Island

In this Bowland assessment task, students are required to plan a walking trip to Hilbre Island. Students are given information about when it is safe to walk to the island, how long it takes to walk there and the times of the high tides on the proposed dates of the trip. Students have to understand the problem, work...

Hot Under the Collar

In this Bowland assessment task, students consider two different methods for converting temperatures from degrees Celsius to degrees Fahrenheit. Students have to select a way of comparing the two methods, explore the effects of varying temperature, make accurate calculations and devise a method of deciding when the...

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...

Ice Cream

In this task, students are planning to sell ice creams at their sports day. Students are told how much a tub of ice cream costs, how much a cone costs and how much they are to sell each ice cream for. Students are also given a pie chart showing the results of a survey asking pupils their favourite flavour of ice...

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....

Keeping the Pizza Hot

This activity requires students to consider the problem of maximising the market available to a pizza shop through the ability to keep a home-delivered pizza warm for longer. Students use a mathematical model to explore the issue that a pizza home delivery business faces in ensuring that the pizza arrives hot! They...

Lottery

In this task, students are required to decide whether a lottery is a good way to raise money. Tickets with the numbers 1 to 6 printed on are sold for £1 each. Each player crosses two of the six numbers. At the end of the week, two numbers are chosen. Anyone who has crossed the same two numbers as the winning...

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