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The Applied Maths Pack
The Applied Maths Pack was produced by the Spode Group at a time when teachers were coming to terms with coursework as a compulsory element of the GCSE mathematics course. The new national criteria for GCSE called for a greater emphasis on investigation, discussion, practical work and problem solving.
The Applied Maths Pack has two sections:
Applied coursework contains ten tasks. Each task contains a number of problems relating to a mathematical theme. Themes covered are:
*calculating lengths and areas when wallpapering a room;
*listing all the matches in a sports event;
*using trigonometry to calculate lengths and areas when wrapping parcels;
*using ratio to calculate odds when horse-racing;
*drawing cumulative frequency graphs and probability to investigate birthdays;
*finding the gradient and equation of straight lines to predict world records;
*comparing the surface area of cylinders when designing a tin can;
*using equations to calculate shoe sizes;
*nets, surface area and volume to design a box;
*investigating planar network.
Extended projects contains thirty tasks. Each task explains the background to the problem, the problem itself and suggests possible extensions. Mathematical topics covered include:
*designing a questionnaire, collecting data, displaying and interpreting the results;
*calculating averages;
*exploring symmetry;
*using formulae to plot graphs;
*percentage interest rates;
*using formulae to calculate braking distances and reading ages;
*direct proportionality;
*investigating codes;
*reading information from tables.
The book contains teacher's notes, solutions and marking schemes.
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