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Challenge 7-8/Ages 12-13

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Presented to MathWorld Interactive by The Famous Five of Davie, Florida, USA

 1. Our teacher Mrs. Kaufman explained the directions with us while we went over them together.

2. Our survey delt with students from the age 10-11

3. We decided we would each pick one class to survey:

NOAH-CARR

ALEX-KAUFMAN

BRIAN&JONATHAN-AST

STEVEN-MIRANDA

4. We surveyed 89 students.

5. We got together and went over our results.

6. The survey showed that 10-11 year olds enjoy watching and playing 13 different sports. They are:

HOCKEY

VOLLEYBALL

BASKETBALL

TENNIS

KARATE

SWIMMING

SOCCER

WRESTLING

BASEBALL

FOOTBALL

SKIING

HORSE-BACK RIDING

TRACK

7. Of those 13 sports the top five, with their number of students that voted for them, are:

1. Basketball with 23 votes

2. Tennis with 16 votes

3. Hockey with 13 votes

4. Baseball with 8 votes

5. Soccer with 7 votes

8. The 23 students that voted for Basketball chose seven different sports players. Here they are:

ALANZO MOURNING

MICHAEL JORDAN

TIM HARDAWAY

JASON KIDD

GARY PAYTON

PATRICK EWING

SCOTTY PIPPIN

9. The survey showed that TIM HARDAWAY is the most popular basketball player. (graph)

10. We went through the survey and found the candidates for most popular tennis player. The candidates are:

PETE SAMPRESS

VENESSA WILLIAMS

MICHAEL CHANG

ANDRE AGASSI

MICHAEL RYDER

JANES SVILVES

11. The survey said that PETE SAMPRESS is the most popular tennis player. (graph)

12. The 13 students that voted for hockey picked these 10 players:

ED JOVANOWSKI

SCOTT MELANBY

MARK MESSIER

WAYNE GRETZKY

PAUL LEWIS

ROB NEADERMYER

MARINO OSGAR

BILL MULENDEZ

ROB FITZGERALD

13. There was a three way tie for most popular hockey player. They are:

SCOTT MELANBY

MARK MESSIER

PAUL LEWIS

(graph)

14. The 8 people that voted for baseball voted for the following four players:

MARK MCGWIRE

CHARLES JOHNSEN

gGARY SHEFFIELD

EDGAR RENTARIA

15. The most popular baseball player showed to be MARK MCGWIRE. (graph)

16. The 7 people that voted for soccer voted for:

NALDO

SERLIN

17. We could not find their first names.

18.RENALDO showed to be the most popular soccer player. (graph)

19.We decided we would each pick a sport to do research on.

BASEBALL-BRIAN

TENNIS-JONATHAN

HOCKEY-ALEX

BASKETBALL-STEVEN

SOCCER-NOAH

20.We did the work but lost most of it. We decided to do the research over.

21.We each used an encyclopedia to do our research.

22. Brian was busy so Steven did Baseball also.

23.Brian got mad at Steven so Steven through out baseball.

24.Brian was behind in his regular classwork and had to quit.

25.Steven and Jonathan had to catch up on some work so Noah and Alex took over for the meantime.

26.Alex and Noah took the information about tennis and put it into a paragraph.

27.Alex and Noah got in a fight about horizontal and vertical.

28.Alex won.

29.Alex continued the project alone while Noah was getting something together.

30.Noah came back.

31. Noah and Alex took the information on soccer and verbalized it.

32. To get things done quicker, Noah began working on hockey while Alex still worked on soccer.

33.Steven came back and started basketball.

34. When Alex finished soccer, he started baseball.

35. Noah finished hockey.

36. Steven finished basketball.

37. When Alex finished writing the dimensions of the field for baseball, Steven started the scoring and Noah told how the game was won.

38. Noah and Alex found all the percentages.

39. Alex answered the questions on the back page.

40. Noah, Alex, and Brian typed the whole report.

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Basketball

The dimensions of a basketball court are:

A regulation size basketball court measures 94' by 50'.

A basketball is 30" round.

A basketball hoop is 10' off the ground.

Basketball is scored by getting the ball in the net. A foul is when someone roughs you. If a team has 5 fouls you will get a foul shot or 2. If you make it you get 1 point. If you shot a basket other then the foul shot inside the three point line and make it, it is worth 2 points. If you shot the ball outside the three-point line and you make it, it is worth 3 points. There is 4 12 minute quarters. At the end of the 4 quarters the team who has more points win.

Soccer

The dimensions of an average soccerfield are as follows:

The entire field measures 115' by 75'.

The goaliebox measures 18' by 44'.

The goalie kick-off box measures 6' by 20'.

The goal stands 8' high by 24' wide.

The soccer ball measures 27 ½ inches around and weighs 15 oz.

Whenever a player shoots the soccerball into the opposing team's goal, one point is scored. The defense on the opposing team can block the ball by keeping the ball away from the goaliebox with their feet. At the end of the 2 halves with 75 playing minutes each, whoever has scored the most points is the winning team.

Tennis

The dimensions of an average tennis court are as follows:

The net is 3' high at the center and the side posts are

3 ½ feet high at the side.

The singles court, which is the court that people use when playing 1 person against 1person, is 78' by 27'.

The doubles court, which is the court that people use when playing 2 people against 2 people, is 78' by 36'.

The tennis ball measures 2 ½ in. in diameter and weighs about 2 oz.

Points, games, and sets score tennis. A set is a group of six games. You score a point when your opponent fails to hit the ball back to you when you hit it to him/her. On a serve the ball must go into the opponent's box. On the first serve you and your opponent are both on the right side. On the next serves you switch sides on each serve. To win a game you must score 4 points. The first point is called 15; the second is called 30; the third is called 40; and the next is called game, in which you won the game. If your opponent scores 40 and you have 40 too it is called duece. To win at duece you must score two points in a row. If you score one it is called A, meaning advantage. When at advantage if you're opponent scores a point you go back to duece. If when at advantage you score another point you win the game. You must win at least 6 games to win a set.

Hockey

The dimensions of an average hockey court are as follows:

The entire court measures 200' by 85'.

The goalie box measures 8' by 4'.

The goal measures 6' by 3' by 4'.

The distance between the goal line and blue line measures 30'.

The end-zone face-off spot and circle measures 30' in diameter.

The distance between each end-zone face-off spot and circle measures 44'.

The puck measures 3" in diameter, 1" thick, and weighs about 6 oz.

Whenever a player shoots the puck into the opposing teams net, one point is scored for the team who shot the puck. The opposing team can block the puck from going in the goal in more than one way:

1. If the offensive team shoots the puck and the goalie blocks it.

2. If the defence takes the puck from the opposing team with his or her stick.

3. If before the puck is shot the shooter gets knocked to the side or over.

4. If the puck misses the goal.

5. If the shooter misses the puck.

At the end of three 20 min. periods the team with the most points wins.

Baseball

The dimensions of an average baseball field are:

The baseball field measures 90' by 90'.

The distance between Pitcher's mound to home plate measures 60' 6".

There is 90' between each of the bases.

Home plate to 2nd base measures 121'.

The coach's box to the edge of the field is 15'.

Baseball is scored be hitting the ball and running from base to base. If you make it to home plate you score a run. If you hit the ball out of the parkit is an automatic run and everyone goes to homeplate and scores.

Someone gets out when either he they hit the ball with the bat and an opposing player catches it, he is running and the ball gets to the bale before him, or he misses the ball while trying to hit it three times. At the end of nine consecutive innings, which each go on until three people get out, whoever has the most points, unless it is a tie and then two more innings are played, one for each team, to try and score points { If at the end of those it is still a tie, two more are played, and so on…}, wins the game.

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1. Since we surveyed a total of 89 students we divided 100 by 89.

2. Since 67 students voted for the top five sports we multiplied the quotient of 100 by 89, by 67.

3. The product was about 75.2. We rounded that and got a total of 75, concluding that about 75% of the students that we surveyed voted for the top five sports.

4. We divided 100 by 67.

5. We took the quotient of 100 by 67 and multiplied it by 23 since 23 students voted for basketball.

6. The product was about 34.3. We rounded that and got a total of 34, concluding that about 34% of the students voted for basketball of the 67 students that voted for the top five sports.

7. Then we divided 100 by 89.

8. We took the quotient of that and multiplied it by 23.

9. The product was about 25.8. We rounded that and got 26, concluding that about 26% of all the students that voted, voted for basketball.

10. Now, we divided 100 by 89.

11. We took the quotient of that and multiplied if by 16, since 16 students voted for tennis.

12. The product was about 17.9. We rounded that and got a total of 18, concluding that about 18% of all the students that voted, voted for tennis.

13. We divided 100 by 67.

14. We took the quotient of that and multiplied it by 17.

15. The product was about 25.3. We rounded that and got a total of 25, concluding that about 25% of the students that voted for the top five sports, voted for tennis.

16. We divided 100 by 89.

17. We took the quotient of that and multiplied it by 13 since 13 people voted for hockey.

18. The product was about 14.6. We rounded that and got 15, concluding that about 15% of all the students that voted, voted for hockey.

19. We divided 100 by 67.

20. We took the quotient of that and multiplied it by 13.

21. The product was about 19.4. We rounded that and got 19, concluding that about 19% of the students that voted for the top five sports, voted for hockey.

22. We divided 100 by 89.

23. We took the quotient of that and multiplied it by 8.

24. The product was about 8.9. We rounded that and got 9, concluding that about 9% of all the students that voted, voted for soccer.

25. We divided 100 by 67.

26. We took the quotient of that and multiplied it by 8.

27. The product was about 11.9. We rounded that and got 12, concluding that about 12% of the students that voted for the top five sports, voted for basketball.

28. We divided 100 by 89.

29. We took the quotient of that and multiplied it by 7.

30. The product was about 7.8. We rounded that and got 8, concluding that about 8% of all the students that voted, voted for soccer.

31. We divided 100 by 67.

32. We took the quotient of that and multiplied it by 7.

33. The product was about 10.4. We rounded that and got 10, concluding that about 10% of the students that voted for the top five sports voted for soccer.

A hockey rink has the largest area of the five playing areas.

A tennis cour has the smallest area of the five playing areas.

Here are the total areas, in order from greatest to least, of the playing areas of the five sports:

HOCKEY RINK-17,000 square feet

SOCCER FIELD-8,625 square feet

BASEBALL FIELD-8,100 square feet

BASKETBALL COURT-4,700 square feet

TENNIS COURT-2,808 square feet

We used a bar graph. We could have also used a pie graph to help us with finding all of the percentages. It probably would have been easier. Unfortunatly we couldn't get the graphs in this area. We would like your E-mail address so we may send you our graphs.

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