Possible contexts for problem solving

3. Possible contexts for problem solving • Let’s Go (SL) • Fabio needs your help! (CW) • Predict the winner! (CW/SL) • Media (SL/CW) • Should it happen? (Cardiff Crew)

4. Possible contexts for problem solving • Let’s Go (SL) • Fabio needs your help! (CW) • Predict the winner! • TV station • Should it happen?

5. Let’s Go! (SL) • How will you get there? (modes of transport) • When would you get there? • How much would it cost? Package vs independent • You are following the xxxxxxxxxx team, where would you base yourself? Understanding the group stage practical implications.

6. Thomas Cook Sport 10 Nights Group Stages in Johannesberg from £3150

9. Possible contexts for problem solving • Let’s Go (SL) • Fabio needs your help! (CW) • Predict the winner! • TV station • Should it happen?

10. Fabio needs your help! • Understanding the group stage (CW) • Training the Goalkeeper (CW ) • Penalty Shoot Out • Who’s the best? (CW) • The World Cup Final (CW)

12. Understanding the group stage: Starter: Country trumps (a game which compares vital statistics about each country that participates) (Cardiff Crew) Main: What is the minimum number of points needed in the group stage to qualify? What is the minimum number of points needed in the group stage to win the group? What is the minimum number of goals needed to score to win the World Cup? MATHS: Combinations, statistics, percentages LINKS: Geography

13. PENALTY SHOOT OUT

14. Do you like them? • Do you think they are fair? • Do you think they are a lottery? • Do you think footballers should practice them? • Do you think there is something better?

15. Only 33% enjoy watching penalty shootouts when their team is involved • But 84% enjoy watching other teams suffer in penalty shootouts • Only half of our respondents are happy that penalty shootouts are used in games when their team is involved • 69% believe that if footballers practice taking penalties they will increase the likelihood of scoring in a shootout • Only 35% believe that the possibility of going to a shootout influences the nature of the football during the first 90 minutes • But 87% believe that the possibility of going to a shootout influences the nature of the football during extra time • 51% of people who expressed a view believe that penalty shootouts are a lottery • People are evenly split on whether extra time should be extended to two periods of 20 minutes rather than two periods of 15 minutes • Half of the people surveyed believed there was a better way than penalty shootouts to determine the result of drawn games in international football tournaments

18. Penalty shoot-outs: You can never tell who will win. Or can you? • On the probability line below mark down where you think the probability of each person scoring will be. 50% 100% 0%

19. The scenario: • You are the manager of England in this year’s World Cup. You have successfully steered your team to the Final against Brazil! However, after 90 minutes and 30 minutes extra time played the score is still 0 – 0. The winner of the World Cup is to be decided on penalties! As the management team your group must decide the 5 players that will take the penalties and take England to their first World Cup victory since 1966....

20. Who to choose? There are many factors that affect who the best players may be to choose from your team:- Ability to handle pressure Position played Age How tired players are

21. How to succeed in a penalty shoot-out • http://news.bbc.co.uk/player/sol/newsid_5110000/newsid_5111500/5111562.stm?bw=bb&mp=wm&news=1&bbcws=1

22. Time to get working! • Your group will be given 2 sheets. One sheet will have the vital details of who, statistically, does the better in penalties – e.g. Those under 23 do better than those older. • You will also be given a sheet of all your players on the pitch. • Finally, you will be asked to give the 5 penalty takers to your teacher who will feed them into the computer and tell you how many goals England will score!

23. THE PENALTY SHOOT-OUT! PENALTIES - FINAL.xls

24. Possible contexts for problem solving • Let’s Go (SL) • Fabio needs your help! (CW) • Predict the winner! • TV station • Should it happen?

25. Predict the winner- Analysis Fifa data (CW)- Simulation (SL)

28. Possible contexts for problem solving • Let’s Go (SL) • Fabio needs your help! (CW) • Predict the winner! • Media • Should it happen?

29. Media- TV Station (SL)- TV Boss - cameras (CW)

30. I am working in a TV station and the full time scores are coming in for a round of results. Unfortunately , although I know the half time results the full time results have been e-mailed in WITHOUT the names of the teams on. Can you quickly attach the correct results together? Is it generally true that the team that was winning at half time won the match? http://www.fifa.com/worldcup/preliminaries/matches/index.html How would this information affect your strategy to the game?

31. Should it happen? (Cardiff Crew) • Economy • Building the stadiums • Airport Design • Boosting the local economy – what do fans spend? • Environment

32. Building the World Cup

34. There will be a big opening ceremony

35. Don’t ask me Will everybody fit? Nelson Mandela and David Beckham are concerned that there will not be enough room in the stadium for all the participating teams in the 2010 World Cup

36. 90m 70m

37. What is contextualised learning? • Starting with a theme and looking at what meaningful maths can come from this theme Or • Start with the maths – can we put it into a meaningful context?

38. Teacher Notes • Prior knowledge • Possible difficulties • Securing the learning