In a league of 5 football teams which play in a round robin
tournament show that it is possible for all five teams to be league
Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
When processing and representing data, it is important to consider the audience and purpose of the representation. In this problem, students are invited to consider some examples of representations from the world of sport, to make sense of the stories they tell, and to analyse whether the right representation has been chosen for the purpose.
Hand out this worksheet with the five questions from the problem. Give each pair of students some of the graphs to work on - all five graphs are available on these worksheets.
"For each graph or diagram you have been given, try to tell the story about the sporting event it represents or the information it conveys. Then have a go at answering the questions on the sheet."
As the class are working, circulate and listen out for particularly insightful and detailed descriptions of the sporting events or clear analysis of the advantages and disadvantages of particular representations.
Bring the class together, and for each graph or diagram ask those students who worked on it to tell the story and share their answers to the questions. The questions and graphs are available to display as a powerpoint here.
Charting More Success offers some more charts that can be analysed in a similar way.
What are the advantages of each representation?
What are the disadvantages?
Invite students to search for other examples of graphs or diagrams used in sport, or in wider contexts, and ask them to prepare a short presentation on why particular representations are suitable or unsuitable for different purposes. (Newspapers are a great source of both good and bad representations of data.)
Choose one of the graphs to go through together in the class, and model the sort of response each question requires.