Why do this problem?
challenges learners to think about multiples and may lead to
interesting discussions and insights about common multiples and
lowest common multiples.
If the learners can't get started discuss with the class how they
might change the problem to make it simpler, solve the simpler
problem and then go back to the original problem.
To use this approach:
The problem says the eggs could have been divided into piles in
five different ways, with 2, 3, 4, 5 or 6 eggs in each pile and one
left over, can you make up a problem and solve it where the eggs
could be divided into piles in JUST TWO different ways?
Can you draw some quick diagrams of the different arrangements into
piles using dots for the eggs?
What did you do to solve your simple problem? Can you use the same
method for the problem with 5 piles?
If not can you make up and solve a problem with 3 piles?
Take Three from Five