Why do this
problem?
This problem could be used at the start of a series of lessons
on data handling, or as an assessment opportunity at the end of the
unit. It will get children talking meaningfully about mathematics,
presenting and justifying arguments.
Possible approach
As an introduction to this task, you may choose to ask general
questions about the different forms of data. This might be most
helpful in the case of the pie chart if the class is not so
familiar with this method of representation. For example, you could
ask questions such as:
- Looking at the pie chart, in approximately what fraction of the
total number of games did the team score one goal?
- What does the tally chart show us?
This activity would be ideal to tackle in pairs or threes. You
could print off
this
Word document or
this pdf containing
the six different forms of data which could be cut up to create six
cards. In this way, children would be encouraged to talk to each
other as they interpret the data and the richness of their
discussion will allow you to assess their understanding.
In the plenary, you can focus on how pupils knew which forms
of data go together.
Key questions
What is the total number of goals each team scored over the
fifteen matches?
Have you tried comparing two of the charts with each
other?
Do you think they represent the same team's goals? Why or why
not?
Possible extension
You could challenge children to make their own version of this
problem in pairs.
Possible support
It might be helpful for children to be encouraged to make
jottings on the cards as they work on this task.