List

A selection of Group-worthy tasks

This selection of tasks have Teachers' Resources which outline how teachers can put into practice a Complex Instruction approach in their classrooms - a teaching approach that has been promoted by Jo Boaler. These resources offer further details about the approach and its merits. 

It's a Fence!
problem

It's a fence!

Age
5 to 11
Challenge level
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In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Developing good team-working skills
article

Developing good team-working skills

Group work depends on effective team work. This article describes attributes of effective team work and links to "Team Building" problems that can be used to develop learners' team working skills.
Group-working skills
article

Group-working skills

This article for teachers suggests a range of activities to help children get better at working in groups.
Sorting the Numbers
problem

Sorting the numbers

Age
5 to 11
Challenge level
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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?
Developing Group-working Skills
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Developing Group-working Skills

Age
5 to 11
This collection of activities offers an opportunity for you to focus on improving children's group-working skills. Read the articles to find out how group tasks help to develop children's problem-solving skills and our reasons for selecting these particular tasks.
Two Clocks
problem
Favourite

Two clocks

Age
7 to 11
Challenge level
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These clocks have only one hand, but can you work out what time they are showing from the information?

Fingers and Hands
problem

Fingers and hands

Age
7 to 11
Challenge level
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How would you count the number of fingers in these pictures?
Sort them out (2)
problem

Sort them out (2)

Age
7 to 11
Challenge level
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Can you each work out the number on your card? What do you notice? How could you sort the cards?
Counting Cogs
problem
Favourite

Counting cogs

Age
7 to 14
Challenge level
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Planning a School Trip
problem
Favourite

Planning a school trip

Age
7 to 11
Challenge level
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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.
Getting Better at Group Work Upper Primary
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Getting Better at Group Work Upper Primary

Age
7 to 11
Working on a problem in a group gives you chance to discuss your ideas and further your thinking. Three or four brains are usually better than one! These activities will help you improve your group-working skills.
Upper Primary Group-worthy Tasks
list

Upper Primary Group-worthy Tasks

Age
7 to 11
Although almost any NRICH activity could be tackled in a group, these upper primary activities have been created specifically with group work in mind.
Seven Squares - Group-worthy Task
problem
Favourite

Seven squares - group-worthy task

Age
11 to 14
Challenge level
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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?
Efficient cutting
problem
Favourite

Efficient cutting

Age
11 to 14
Challenge level
filled star filled star filled star
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.
Growing Rectangles
problem
Favourite

Growing rectangles

Age
11 to 14
Challenge level
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What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Painted Cube
problem
Favourite

Painted cube

Age
14 to 16
Challenge level
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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?
Close to triangular
problem

Close to triangular

Age
14 to 16
Challenge level
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Drawing a triangle is not always as easy as you might think!
Partly Painted Cube
problem
Favourite

Partly painted cube

Age
14 to 16
Challenge level
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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?