Copyright © University of Cambridge. All rights reserved.

'Snails' Trails' printed from https://nrich.maths.org/

Show menu

Snails' Trails


1aAlice and Brian4a

Alice and Brian are snails. They live on a wall. Alice at A and Brian at B. They can only travel along the cement cracks. The bricks are too rough for them.
Alice wants to visit Brian.


WALL

 

How far is the shortest route along the cracks?

Is there more than one way to go?

What is the longest route without going along any crack twice?


Why do this problem?

This problem is a simple example for pupils to explore routes. It allows pupils to develop persistence in trying to find more and more routes.


Key questions

Tell me why you chose that way.
Can you find another route?
Are your routes all different from each other? How do you know?
How will you record your routes?

Possible extension

Learners could try Watch your Feet.

Possible support

Some younger pupils will appreciate doing this activity "live" on a large scale with the children acting as the snail and the possible paths drawn on the ground.