Why do this
problem?
This
activity
can be used as a first entry for young pupils in exploring a
somewhat open problem in which ordinary addition or subtraction
play no apparent part. I have found that it is also useful in
helping pupils develop some perseverance skills.
Possible approach
You can set out five small chairs of one colour and use two of
a different colour in a straight line. Or, have five children of
one gender and two of the other sitting behind each other.
Key questions
How are you finding ways of having the carriages?
Have you got the correct number of carriages?
What could you do next?
Possible extension
Try extending the numbers used $5$ & $3$, $6$ & $3$
etc.
Possible support
When the pupils are at their tables some may find it helpful
to have coloured cubes or something similar to represent the
carriages.