Sports, Mathematics and the Internet

Volleyball

by Nancy Helms, Wake Forest University, 1998

Volleyball. Lesson 1:

Background:

Activity: Percentages and Statistics with Clemson Volleyball

Locate the Clemson Women’s Volleyball homepage at:

http://www.fansonly.com/schools/cl…-rel/clem-w-volley-spec-rel07.html

 

  1. Look at Cindy Stern’s statistics on page 3. She is second on Clemson’s team in kills, hitting % and attempts. Taking into account that a kill is a successful attempt at a hit, what type of relationship can you find between kills and attemps that gives you her correct hitting % of .327? Write your answer out in words and as a formula.
  2. Pair up with the couple beside you and compare formulas. If they are different, then decide on a common formula to use to calculate percentages. Then test your formula by looking at Stephanie Schultz’s biography. If she attempted 498 hits and had 174 kills, what was her hitting %? Check your results with the information on her hitting percentage in her biographical sketch.
  3. Skye Frost leads the team in digs with 206. If she has 12% of the total team digs, how many digs has the entire team had thus far in the season?
  4. Together, the top five defenders on Clemson’s team have accumulated 824 digs. What % of those total digs do Skye Frost, Jill Heavey, and Michelle Thieke hold?
  5. As of October 7th, Michelle Thieke had attempted 413 hits. On October 10, she has 6 kills and 17 attempts versus UNC. On October 11, she has 9 kills out of 20 attempts versus NC State. What is her hitting percentage after the October 11 game?

Volleyball. Lesson 2:

Background:

Activity: Averages and Comparisons

http://www.usctrojans.fansonly.com/sports/w-volley/usc-w-volley-frame.html

 

Locate the following Volleyball homepage:

http://www.volleyball.org/stats.html

Take a few minutes to look over the volleyball stats with your partner. In particular, look at the Assist, Ace and Block Average formula. Now, Locate the USC Women’s Volleyball team statistics at:

http://www.usctrojans.fansonly.com/sports/w-volley/usc-w-volley-frame.html

  1. Look under the serve statistics for the Trojans. Where does the Aces/Game stat come from? What does this stat mean in words? 
  2. In the upcoming game against Stanford, how many Aces would you expect the Trojans to have? How did you come up with that answer?
  3. How would you figure out who is the best server on a Volleyball team? Who (statistically speaking) is the best server for USC in your opinion? State several reasons how you came to this conclusion.
  4. Which member of the Lady Trojans had the highest Block Average on the Team? What was her Block Average? How did you figure this out?
  5. Compare the Assist Average of Janice Mounts and Jasmina Marinkovic.Whose is higher? Based on what you know about the game of Volleyball so far, why do you think one of them has a higher average than the other? Compare their kill averages. Whose is higher and why? (Show all calculations and justify each answer).

 

Volleyball. Lesson 3:

Perimeter, Area, and Volume

Find the article on the basics dimensions of a Volleyball court and how to build an outdoor court at:

http://www.volleyballmag.com/aug95/court1.htm

and

http://www.volleyballmag.com/aug95/court2.htm

Read through the basics of the Volleyball Court dimensions and the step by step description of how to build your own outdoor court.

  1. Draw a diagram of the court itself and the playing space. What is the area of the total playing area in square feet? What is the area of the court itself in square feet? What is the area of just the extra playing area outside of the court in square feet? (Hint: the area of a square is (length*width)
  2. Looking at the fourth bulleted paragraph, describe how you would find the volume of soil removed from a court excavated in an area comfortably above sea level.
  3. Take a look at the diagram with the step by step description of building an outdoor court. If you were planning on making a court in your neighborhood, what volume of sand and of gravel would you need to buy in order to fill the court with a one foot layer of gravel and then a two foot layer of sand as described by the picture?
  4. If you were planning on marking off the entire playing area with railroad ties, how many feet of railroad ties would you need to buy? Justify your answer by showing your work and using words.
  5. Describe the steps that you would use to find the Perimeter of the volleyball court itself so that you could mark it off with string.