### Algebra Match

A task which depends on members of the group noticing the needs of others and responding.

### Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

### Arranging Squares

A task which depends on members of the group working collaboratively to reach a single goal.

# Coordinate Designs

##### Age 11 to 14Challenge 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?

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.