Number crunch. Number crunch. Activity overview. Time required. Materials. Preparation. Activity steps. Key Learning Area Mathematics English

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Activity overview Students engage in a series of activities designed to demonstrate the important role numbers play in communicating information. Students will investigate the scoring systems used in a variety of sports, complete premiership ladders from the 90 and 00 Australian football seasons and create bar graphs to depict the difference in team performance of clubs who had teams participating in both these seasons. Time required Approximately 50 minutes Key Learning Area Mathematics English Year levels Years 5 8 Materials Worksheet : The sport we play Worksheet : One hundred years on Coloured pencils, ruler, graph paper Optional: Images in Resources on the AFL CD-ROM Preparation Photocopy one copy of each worksheet per student. Activity steps Activity. Engage students in a discussion about the sports they play and watch.. Check whether any students play in a sport competition. Ask for several examples, including summer, winter and all-year sports, played by people as individuals, in pairs or in teams.. Organise students into mixed gender workgroups of three or four and provide each student with a copy of Worksheet : The sports we play. Ask students to work cooperatively in their groups to complete the worksheet. Note: Students may be given an extended opportunity to research this topic using school library resources or information and communication technology (CD-ROM encyclopaedias, the Internet).

. Regroup students and lead a discussion on how scoring is organised in different sports. Ask for a few examples from students of the different names given to a score in a sport or event they are familiar with (for example, goals and points in Australian Football League, strokes in golf, seconds in a 00-metre sprint, goals in netball). Challenge students to provide examples of scoring systems in sports that have been tried or changed over time (for example the AFL introduced a 9-point goal in the 005 pre-season competition and this currently continues to apply). Ask students to work in their groups to list the scoring systems and some scoring terms used in each of the sports listed by them on Worksheet : The sports we play. 5. Conclude the activity with a whole-class discussion of the types of scoring systems and terms used in sports identified by the various workgroups. 6. As an at-home activity, ask students to complete the homework challenge at the end of Worksheet related to International Rules football. Activity. Encourage students to think back to the lessons during which they considered the various scoring systems used in sports.. Ask students to recall a few examples of sports, scoring systems and scoring terms for sports: played using an oval-shaped ball played on a court played using a bat.. Invite students to answer the homework challenge questions. In International Rules football, the scoring system is? (points) (In International Rules football: an over adds points to the score. an under adds 6 points to the score. a point or behind adds point to the score.). Engage students in a discussion about how teams are ranked during a sport season. 5. Ask students for common words or terms that are used to rank teams. (In Australian football, common terms are the ladder, the premiership table, the eight or simply the table.)

6. Ask students a series of questions to lead them to an understanding of how an Australian football premiership ladder is constructed. What data (information) is included in an Australian football premiership ladder? (Teams; games played; games won, lost and drawn, points scored for and against the team; percentage; total premiership points.) For each game won, how many points is a team awarded? (Four) For each game lost, how many points is a team awarded? (Zero) If a game is a draw (tie), how many points is each team awarded? (Two) How is a team s percentage calculated in an Australian football premiership ladder? By dividing the total points scored by a team (called For) by the total points scored against the team (called Against) in all games up to that time. If after ten rounds (games), a team had scored,000 points and had 800 points scored against it, the percentage would be 5 per cent (000 800). Note: Students need to be alerted that the result of the division (000 800) needs to be multiplied by 00 to achieve a percentage. 7. Organise students in groups of three or four and provide each student with a copy of Worksheet : One hundred years on. Ask students to work in their groups to complete the 90 VFL premiership ladder and the 00 AFL premiership ladder by calculating and inserting the missing values in the table. 8. When each workgroup has completed the 90 VFL premiership ladder and 00 AFL premiership ladder, direct students to work individually to: use graph paper and create a bar graph comparing for one category the performance of the teams who competed in both the in 90 and 00 seasons (for example, premiership points, points scored for the team, points scored against the team, points for divided by points against percentage. 9. Conclude the activity with a whole-class discussion of: the differences in performance of teams who played in the 90 and 00 seasons (for example, number of points scored for a team during a season) the many ways numbers (data) are used to communicate information in sport (for example, for construction of premiership ladders, for scoring, for measuring player performance (such as Brownlow medal votes awarded to a player). Note: This activity can be modified to become a weekly activity whereby students regularly update their premiership ladder for the current AFL season using the results from the previous round of games.

Assessment ideas Provide students with an edited premiership ladder for a local sport competition (similar to Worksheet : One hundred years on). Alternatively, have students devise their own virtual premiership ladder for a sport competition they are interested in. Assess student work for evidence of achievement of relevant learning outcomes related to multiplication and division. As an at-home activity with the help of family members, or as a task using the resources available in the library, ask students to: find three other sports in which players use skills similar to the skills used by Australian football players of the past or present (for example, a place kick in American football) using the Internet, research how important these skills are compared with their importance for Australian Football. Provide a report of their findings in an appropriate presentation format (oral, poster, PowerPoint or written). Optional extension Direct students to create their own number crunches using the various information sources (data) available at the AFL website http://afl.com.au. For example, students could: create a bar graph of game attendance at 0-year intervals for Australian football from 897 to 00 create a bar graph of game attendance during the 0-year spans 9 9 and 96 95 and explain why attendance declined during these periods of Australian history use a current AFL premiership ladder and create a number puzzle like that included in Worksheet for other students to solve.

Worksheet : The sports we play Name: Categories of sports Example American football (Gridiron) Sports played using an oval-shaped ball Scoring system used in sport Points Terms used in scoring system Touch-down 6 points; Conversion point; Field goal points Sports played in water Sports played using a round ball Sports played using a bat

Categories of sports Sports played on a court Scoring system used in sport Terms used in scoring system Sports played (choose a category) *In International Rules football, the scoring system is: Fill in the missing information for the scoring system used in International Rules football. An over adds points to the score. An adds 6 points to the score. A adds point to the score. Visit http://afl.com.au to search for information about International Rules football. B

Worksheet : One hundred years on Name: The 00 AFL premiership ladder at the end of Round Team P W D L F A % Total Port Adelaide 7 0 5 8.6 Brisbane Lions 0 6 7 78 7. 6 St Kilda 6 0 6 909 7.97 6 Geelong 5 0 7 088 7 9.9 5 Melbourne 0 8 7 900 56 6 Sydney Swans 9 98 80 07. 7 West Coast Eagles 0 9 0 968 0.76 8 Essendon 0 8 8 0. 9 Fremantle 88 870 00.6 0 Kangaroos 0 5 00. Carlton 0 0 85 5 0 Adelaide 950 09 95.6 Collingwood 8 0 899 08 9. Western Bulldogs 5 0 7 957 59 5 Hawthorn 0 668 75 70. 6 6 Richmond 0 8 69 5 69. P = played W = wins D = draws L = losses F = for A = against The 90 VFL premiership ladder Team P W L D F A % Total Fitzroy 7 0 95 8. 8 Carlton 7 0 80 76 05.5 Collingwood 7 7 0 867 7 7.00 Essendon 7 0 0 85. 0 5 South Melbourne 7 7 0 8 766 6 Melbourne 7 8 9 0 97 80 7 Geelong 7 76 90 77. 8 8 St Kilda 7 0 708 6.05

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