Baseball eNotebook


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Baseball eNotebook

  1. 1. Math eNotebook BASEBALL MATH Jack Mullen & Adam Shemory
  2. 2. Baseball Dimensions (Geometry) <ul><li>There are many dimensions that comprise a baseball field. While all infields have the same mandatory dimensions, no outfield in Major League Baseball is the same. They all have their own unique angles and boundaries. The infield dimensions that are constant are the distance between the bases (90 feet), pitchers mound to home plate (60 ft, 6 inches), the home plate area (26 ft circle), ect. </li></ul>
  3. 3. Baseball Dimensions 2 (Measurement)
  4. 4. Baseball Schedule (Numbers) <ul><li>Every Major League Baseball team is guaranteed to play 162 games throughout the course of one season. All teams will have 81 home games and 81 away games. Teams can potentially play 19 more games in the post-season if they qualify for the playoffs and win the World Series. Major League Baseball has the longest season of all of the four major professional sports. </li></ul>
  5. 5. Baseball Pitching (Numbers) <ul><li>Each Major League Baseball team is required to have five starting pitchers in their rotation. As a result, starting pitchers are expected to start roughly 32-36 games a year if they stay fully healthy. Depending on the team’s manager, some pitchers are expected to pitch on only four, if not three days rest. </li></ul>
  6. 6. Regulation Rules (Numbers) <ul><li>There are nine innings in a regulation baseball game. Each inning is split into half-innings, with three outs per half-inning. If there is inclement weather, a game becomes official and can be called complete after the top of the fifth inning if the home team is winning. </li></ul>
  7. 7. Standings (Numbers) <ul><li>The Boston Red Sox are one of five teams in the American League East division. There are a total of 14 teams in the American League. The winner of each division gets an automatic bid to the playoffs as well as the the second best team in the American League that didn’t win their division. This year, the Red Sox did not make the playoffs because they came in third place in their division. They were seven games behind the division winner, the New York Yankees. </li></ul>
  8. 8. Individual Player Stats (Numbers) <ul><li>Albert Pujols’ career statistics- </li></ul><ul><li>Career games: 1,705 </li></ul><ul><li>At Bats: 6,312 </li></ul><ul><li>Runs Scored: 1,291 </li></ul><ul><li>Hits: 2,073 </li></ul><ul><li>Homeruns: 445 </li></ul><ul><li>Batting Average: .328 (a player’s average is determined by his total number of base hits divided by his total number of at bats) </li></ul>
  9. 9. Probability <ul><li>Probability plays a crucial role in all major competitive sports, but particularly in Major League Baseball. Probability in baseball can range from: number of runs scored, number of wild pitches, to what type of pitch the pitcher will throw based on the count and number of outs. There is a wide range of probability in baseball and every play, regarding of the outcome, will alter all different types of future probabilities. </li></ul>
  10. 10. Outfield (Geometry) <ul><li>New York Mets Citi Field </li></ul><ul><li>The stadium is under renovations to it’s outfield dimensions. The newly configured outfield shape will add 140 more seats as well as help increase the total number of home runs hit at the stadium. The Mets’ officials are using probability to project that there should have been 151 more home runs hit over the past three seasons if they made the renovations three seasons ago. Citi Field ranked third-to-last in the Majors last season with 1.33 home runs per game, according to the Elias Sports Bureau. </li></ul>
  11. 11. Outfield 2 (Geometry) <ul><li> </li></ul>
  12. 12. Bases (Measurement) <ul><li>All baseball fields have three bases, one home plate, and the pitching rubber. There are league regulations regarding the dimensions, size, and shape. </li></ul><ul><li>Home plate : front of the plate is 17 inches wide, two 12 inch edges coinciding with the first and third baseline, and two adjacent sides are 8.5 inches </li></ul>
  13. 13. The Baseball Book (Numbers & Operations) <ul><li>Each team’s manager keeps a book that records the outs, runs scored, balls and strikes, errors, hits, ect. Stats are collected from this book’s information during and after every game. </li></ul><ul><li>Numbers used in the book can mean more than one thing. Each field player is assigned to a specific number. After a groundout to second base is made, it will be recorded in the book as 4-3. </li></ul>
  14. 14. The Baseball Book 2 (Numbers & Operations)
  15. 15. Off Speed Pitches (Numbers & Operations, Measurement) <ul><li>Pitchers in Major League Baseball have the ability to alter certain pitches’ speed, velocity, and trajectory. The curveball and changeup are the two most common off speed pitches that a pitcher will throw. As a fastball moves through the air with backspin, a curveball adds additional downward force giving it the ability to drop in flight. A changeup has a lower velocity and is thrown similar to a fastball but the specific grip on the ball changes the speed by roughly 5-10 mph. </li></ul>
  16. 16. Grips of Pitches <ul><li>Changeup, Two-seam Fastball, Curveball </li></ul>
  17. 17. Reaction Time (Data Analysis) <ul><li>An average Major League Baseball pitcher throws a fastball at 90 MPH. With home plate 60 ft 6 inches away from the pitchers mound, the batter has roughly .41 to .45 of a second to swing at the pitch. </li></ul>
  18. 18. Reaction Time Conversion <ul><li>This is calculated by converting the miles per hour to feet per second, multiply miles per hour of the pitch (90) by the number of feet in one mile (5,280), then divide by the number of seconds in an hour (3,600) </li></ul><ul><li>90(5,280/3,600)= 132 feet per second </li></ul><ul><li>Divide the distance from the pitcher’s rubber to home plate (60 ft 6 inches) by the speed of the fast ball in feet per second (132) </li></ul><ul><li>60.5/132= .458 seconds </li></ul>