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  • Early Years Foundation Stage

Making Rectangles

Age 7 to 14
Challenge Level Yellow starYellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

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.
Pieces

What are you aiming to do?

For the task:

Every member of the team has to end up with the same rectangle in front of them. The task is only successfully completed when everyone on the team has completed their rectangle.

As a team:

  • Responding to the needs of others
  • Helping others to do things for themselves.

Getting started

You will need to work in a team of four. If you have a fifth person available - use them as an observer (see guidance below).
In silence:
Distribute the 16 pieces randomly amongst the team (four pieces each).

Tackling the Problem

How to play

Players pass pieces to other team members in order to help one another complete their rectangle.

Rules

  • No one can talk or give non-verbal signals to other members of the team.
  • Each member of the team starts with four pieces in front of them.
  • The pieces in front of each person should be visible to everyone.
  • Team members can only give pieces; they cannot take pieces from someone else.
  • Each team member must have at least two pieces in front of them at all times.

Use an observer to check that the team obeys the rules and offer one of the hint cards if, after a period of five minutes, the team is not making any progress.


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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