Why do this problem?
Use this
activity to present youngsters with a problem that challenges
them to think 'outside the box'. It can help to develop general
problem solving strategies and find suitable ways of recoding their
results.
Possible approach
This presents a good
opportunity to hand over to the pupils the decision as to how to
approach this challenge.
This activity allows the
youngsters to create good ways of recording what they have done and
communicate their findings to a whole class by producing a display.
It may end up as an assessment for patience and perseverence!
Key questions
When pupils have made
decisions then ask, "Are you allowed to do that?"
Do you think there are
any more possibilities?
Possible extension
Some children could be
asked what they could do about changing one of the rules, but
beware of going further than using three sheets of paper i.e. 12
pages! You can also challenge them to look at methods of
progressing so as to make sure that they get all the possible
combinations.
For the
highest-attaining
For those very able
pupils we would expect them to pursue the three sheet of the paper
making $12$ pages. They might be encouraged to explore methods of
ensuring that all the combinations are found. This could lead to a
method for n numbers of sheets.
Possible support
For those who struggle
with the whole idea it would be good to have the sheets of paper
ready so that they can rearrange them physically.
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I found that a group of
children who were 8 and 9 years old coped with this very
enthusiastically. They got a lot out of it and were very creative
with their ideas.
Even if all the
combinations are not found by your class we'd be pleased to hear
how it went and what aspects of the activity caught their interest
and which did not.