AGE RANGES: 11-14 TASK: Use statistical data to identify averages and trends in England s World Cup matches OBJECTIVES: Use raw data to answer questions about England s World Cup performances and create bar graphs to identify averages. National Curriculum Maths KS3 Ma4 Handling data Using and applying handling data - Problem solving 1aiii) Process and represent the data: turn the raw data into usable information that gives insight into the problem 1aiv) Interpret and discuss the data: answer the initial question by drawing conclusions from the data Reasoning 1h) Apply mathematical reasoning, explaining and justifying inferences and deductions Specifying the problem and planning 2b) Identify questions that can be addresses by statistical methods Interpreting and discussing results 5c) Look at data to find patterns and exceptions
Teachers notes. The following worksheets need to be copied for the class and should take a one hour lesson to complete. The students will also need their maths exercise books, ruler and calculator. Answers: 1. Information for bar graph 0 10 min = 5 goals goals against England = 2 goals 11-20 min = 3 goals = 0 goals 21 30 min = 6 goals = 1 goals 31 40 min = 2 goals = 0 goals 41 50 min = 3 goals = 4 goals 51 60 min = 3 goals = 4 goals 61 70 min = 3 goals = 2 goals 71 80 min = 1 goals = 3 goals 81 90 min = 6 goals = 1 goal 90+ min = 2 goal = 0 goals 2. i) 21-30 min & 81 90 min ii) 41 50 & 51 60 min iii) first half 3. i) 34 goals, 26 games = 1.31 ii) 1998 1982 = 5 goals, 5 games = 1 goal 1986 = 7 goals, 5 games = 1.4 goals 1990 = 8 goals, 7 games = 1.14 goals 1998 = 7 goals, 4 games = 1.75 goals 2002 = 6 goals, 5 games = 1.2 goals iii) 1982 iv) 1990 1.14 v) Gary Linekar 10 goals, Michael Owen 4 goals, David Platt 3 goals.
On the accompanying sheet you will find a list of all the England teams World Cup games and their scores since 1982. Use this information to answer the following questions and see if you can see what s been happening to England. = For 1. Using the match statistics of the last 5 World Cup matches create a bar graph showing in 10 minute sections how many goals England score and how many they have had scored against them. Goal 2. Use your bar graph answer the following questions i) In what ten minute time slot are England most likely to score? ii) In what ten minute time slots are England likely to be scored against? iii) Based on goals scored do England play better in the first half (0 45 min) or second half of their games(45min+)? 2 1 10 20 min min =Against Time 3. Using the match statistics answer: i) What is the average amount of goals that England score per game? (to 2 decimal places) ii) In what year did England score more goals on average per game? iii) In what year did England score the least goals on average per game? iv) Which year did England go furthest in the competition, what was their average goals scored per game that year? v) Who are our top 3 goal scorers?
England vs 1982 France W 3-1 1 min 1-0 Bryan Robson 24 min 1-1 Gerard Soler 67 min 2-1 Bryan Robson 83 min 3-1 Paul Mariner Czechoslovakia W 2-0 63 min 1-0 Trevor Francis 66 min 2-0 Jozef Barmos (own goal) * Kuwait W 1-0 27 min 1-0 Trevor Francis West Germany D 0-0 Spain D 0-0 1986 Portugal L 0-1 75 min 0-1 Carlos Manuel Morocco D 0-0 Poland W 3-0 8 min 1-0 Gary Lineker 13 min 2-0 Gary Lineker 36 min 3-0 Gary Lineker Paraguay W 3-0 32 min 1-0 Gary Lineker 56 min 2-0 Peter Beardsley 72 min 3-0 Gary Lineker Argentina L 1-2 51 min 0-1 Diego Maradona 55 min 0-2 Diego Maradona 81 min 1-2 Gary Lineker 1990 Rep. of Ireland D 1-1 8 min 1-0 Gary Lineker 72 min 1-1 Kevin Sheedy Netherlands D 0-0 Egypt W 1-0 59 min 1-0 Mark Wright Belgium W 1-0 119 min 1-0 David Platt Cameroon W 3-2
25 min 1-0 David Platt 61 min 1-1 Emmanuel Kunde 65 min 1-2 Eugene Ekeke 83 min 2-2 Gary Lineker 105 min 3-2 Gary Lineker West Germany D 1-1 59 min 0-1 Andreas Brehme 80 min 1-1 Gary Lineker Italy L 1-2 71 min 0-1 Roberto Baggio 81 min 1-1 David Platt 86 min 1-2 Salvatore Schillaci 1998 Tunisia W 2-0 42 min 1-0 Alan Shearer 90 min 2-0 Paul Scholes Romania L 1-2 47 min 0-1 Viorel Moldovan 83 min 1-1 Michael Owen 90 min 1-2 Dan Petrescu Colombia W 2-0 20 min 1-0 Darren Anderton 30 min 2-0 David Beckham Argentina D 2-2 5 min 1-0 Gabriel Batistuta 9 min 1-1 Alan Shearer 16 min 2-1 Michael Owen 45 min 2-2 Javier Zanetti 2002 Sweden D 1-1 23 min 1-0 Sol Campbell 58 min 1-1 Niclas Alexandersson Argentina W 1-0 43 min 1-0 David Beckham Nigeria D 0-0 Denmark W 3-0 4 min 1-0 Rio Ferdinand 21 min 2-0 Michael Owen 43 min 3-0 Emile Heskey Brazil L 1-2 22 min 1-0 Michael Owen 46 min 1-1 Rivaldo 49 min 1-2 Ronaldinho Gaucho * England did not qualify in 1994