Complex Instruction and Group-worthy tasks - May 2010, Stage 4&5

This month our tasks have been designed with group work in mind - there is real benefit to working collaboratively on the activities, so we have suggested in the Teachers' Notes and articles how this can be done in the classroom.

Problems

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Efficient Cutting

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

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Partially Painted Cube

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

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Close to Triangular

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Drawing a triangle is not always as easy as you might think!

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Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level: Challenge Level:1

Work in groups to try to create the best approximations to these physical quantities.

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Erratic Quadratic

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find a quadratic equation which passes close to these points?

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Clear as Crystal

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices