Pathways

 

Do you remember the game where with a pencil you had to draw a shape in one continuous movement without taking the pencil off the paper. The same activity can be played with matches with the added advantage that you can keep on rearranging the matches until you get a correct solution. Imagine that the matches are arrows with the head of the match pointing in the direction you are to travel. In this diagram made with 8 matches you can not get all the way around the one way system.

 

 

But if we arrange the matches like this then we can travel all the way round the diagram. Then we call the arrangement a Pathway

 

 

 

 

 

 

 

Make these into patterns into Pathways ….one way systems that can be travelled completely.

 

Puzzle 1                              Puzzle 2

 

 

 

 

 

 

 

Harder Pathways

 

In the pathways we have made so far you can start anywhere and finish anywhere.

Here are some harder puzzles where there are only two possible places to start or finish the one way route. Try and arrange these patterns so they can make a Pathway.

 

Puzzle 4                                   Puzzle5

 

 

 

 

 

 

 

 

Pathways Investigation

 

Solutions to Puzzles