Why do this
problem?
This problem requires a sound understanding of the relationship
between part and whole. It could be used as part of a lesson on
finding fractions of numbers and quantities.
Possible approach
A good introduction to this problem could be to have the image
of a bowl of fruit for all the group to see and to invite them to
talk about it. This could be the one in the problem on an
interactive whiteboard or another picture. A real bowl of fruit
could also be used if that were possible.
You could steer the conversation towards fractions if the
children do not naturally bring it up. Asking general questions
about the fractions of different fruits in the bowl and referring
also to the fraction of "other fruit" will give children the
confidence to tackle this problem.
Children should be encouraged to record in any way they find
useful while working on this problem. Many may find it helpful to
use practical equipment to represent the fruit, for example blocks
or counters, perhaps with different colours standing for different
types.
Key questions
What fraction of fruit in the bowl is apples?
What fraction of fruit in the bowl is not apples?
Possible extension
Children could make up similar problems for each other to do.
Some learners could be encouraged to use cards or symbols and move
into a kind of algebra.
Possible support
Those experiencing difficulty with this problem may find it easier
if they use
this sheet
along with counters to represent the fruit.