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Coordinate Designs

Age 11 to 14
Challenge Level

This is one of a series of problems designed to develop learners' team working skills. Other tasks in the series can be found by going to this article.

What are you aiming to do?

For the task:

Learners must complete the task themselves but with support and advice from other members of the team.

As a team:

  • helping others to do things for themselves
  • responding to the needs of others - everybody helps everybody
  • explaining by telling how.

Getting started

This problem needs a team of four. A fifth person can act as an observer.

You need to arrange the desks and some props so that everyone can see everyone else but no one can see what anyone else is building. One possibility is for the designer to face the other three team members and make the design inside a box whilst team members try to recreate the design behind books or folders used as screens.

You will need graph paper for the designs and then separate sheets for the team to recreate the designer's image.

Choose someone in the group to be the designer.
If there are five people choose a person to be the observer.
If you try this task more than once, team members should take turns at playing these roles.

Each person needs to create a design in preparation for acting as designer. Without making anything visible to anyone else in the team, each learner draws some axes on graph paper and creates an image by joining coordinates, or drawing lines.

Tackling the Problem

The designer recreates their image so that it is hidden from the rest of the team but as s/he makes the design, s/he explains each step. This needs to include information on axes and scale as well as coordinates of points and equations of lines. The aim is for the rest of the team to make a copy of the same design.

Team members can ask questions about the design at any time and the designer answers in as helpful a way as possible.

When a team member thinks they have a completed design, they ask the designer to check. If it is right they can then aid the designer in answering questions. If they do not have the correct design the task continues.

Remember that all help has to be given without sight of the enquirer's design.

At any point the task can be brought to an end to discuss the success of the questioning and answering, and how it helped or hindered completion of the task.

Observer guidelines:

  • How well did the designer explain the process of creation? What words did they use that were really helpful?
  • How clear were the questions the team asked? Can you give an example of a good question?
  • How well were the questions answered? Can you give a good example?