Why do this problem?
In a similar way to Are you well Balanced?
, factors and multiples are at the heart of this problem
as well as addition and subtraction, even though this may not be the route through which children solve it. It is important, therefore, to discuss ideas of multiplication with the class, perhaps
after children have first thought about the problem on their own for a few minutes and then talked to a partner about possible ways to the solutions.
Where have you tried hanging weights so far?
How will you know that you have got all the ways of making the equaliser balanced?
Is it possible to balance the equaliser with just one weight? With two weights ... three ...?
Learners could experiment with the equaliser by trying other numbers and trying to find all the ways of balancing it.
Chldren could try Are you Well Balanced?
and Number Balance
before trying this problem.