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Describe the Drawers

Age 5 to 11
Challenge Level Yellow star
  • Problem
  • Getting Started
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Describe the Drawers

Here is a set of drawers:

Four rows of drawers. Top row: AB_CDE_F, second row: GHIJKLM_, third row: N_OP_QRS, fourth row: TUVW_XYZ

As you can see, some are labelled with a letter and some are not.

How could you say where the letter K is? Can you describe the position of that drawer without mentioning any of the labels on the other drawers?
What about the letter C? Or the letter M?
How would you describe where the drawers are that have labels which spell the name of your country?
How would you describe where the non-labelled drawers are?

Why do this problem?

This problem gives pupils the opportunity to talk about position. They need to decide how to label the 'rows' and 'columns' that the drawers are in.

Possible approach

A set of drawers or plastic pockets that are arranged in a rectangle could be used first of all to get the pupils talking.

Then when they are beginning to develop some appropriate language the challenge can be presented to them as it is written.

If appropriate, you could use this challenge as a way of introducing traditional ways of labelling rows and columns, for example by letter and number.
 

Key questions

How could you talk about that drawer?
 

Possible extension

Pupils could produce a grid and set challenges for others to solve.
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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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