Complex Instruction and Group-worthy tasks - May 2010, All Stages

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

problem icon

Thirsty?

Stage: 1 Challenge Level: Challenge Level:1

Can you lay out the pictures of the drinks in the way described by the clue cards?

problem icon

Sorting the Numbers

Stage: 1 and 2 Challenge Level: Challenge Level:1

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

problem icon

It's a Fence!

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

problem icon

Planning a School Trip

Stage: 2 Challenge Level: Challenge Level:1

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

problem icon

Two Clocks

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

These clocks have only one hand, but can you work out what time they are showing from the information?

problem icon

Counting Cogs

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

problem icon

Painted Cube

Stage: 3 Challenge Level: Challenge Level:1

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

problem icon

Growing Rectangles

Stage: 3 Challenge Level: Challenge Level:1

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

problem icon

Seven Squares - Group-worthy Task

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?

problem icon

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.

problem icon

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?

problem icon

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!

problem icon

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.

problem icon

Erratic Quadratic

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

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

problem icon

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