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Math project q4

Math project q4






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    Math project q4 Math project q4 Presentation Transcript

    • By Benny Ehrenberg
      Fun at a Dodger game
    • Dates of Games Shown
      April 15th vs. St. Louis Cardinals
      April 30th vs. San Diego Padres
      May 14th vs. Arizona Diamondbacks
    • Before the Game: Warming up
    • Before the GAme: Stretching
    • Before the game: Batting practice
    • Before the game: Batting Practice (Cont.)
    • Before the game: Autographs (Future hall of Famer Mark McGwire: Ball Valued at over $100)
    • Before the Game: Autographs (cont.) All-star Heath Bell (Ball Valued at over $75)
    • Before the Game: Autographs (Cont.) Justin Upton (Ball Valued at over $50
    • Before the Game: Preparing the field
    • Before the game: National Anthem
    • During the game: Three run Homerun
    • During the Game: run Scoring Single by Matt Holliday
    • During the Game: two Runs Score on a Single by Orlando Hudson
    • During Game: Foul Ball right at me
    • After the game: Leaving the Field
    • After the Game: Leaving the Dugout
    • After the GAme: All the Autographed Balls (Total Valued at over $1500)
    • Hidden Math in Baseball:
      Batting Average: # of hits divided by # of at bats. Ex: 200 hits in 650 at bats is a .307 BA
      Earned Run Average: # of earned runs divided by # of innings pitched multiplied by 9
      On Base Percentage: # of times reaching base divided by total # of at bats
      Slugging Percentage: # of singles + (2 X # of doubles) + (3 X # of triples) + (4 X # of homeruns) all divided by the total # of at bats
      Predicting the probability of scoring runs = (Hits + walks) + (Total Bases) / (At Bats + Walks)
      Probability of winning a game: ½ X Runs scored season / Opponents’ Runs scored
      The baseball “diamond” is really a square with 90 foot sides
      The Pythagorean theorem can be used to find the distance from home plate to second base or from first base to third Ex: 90^2 + 90^2 = C^ 2 (8,100 +8,100) = 16,200 and the square root of that is 127.3 feet between
    • Hidden Math in Baseball (Cont. )
      The third base and first base foul lines intersect at home plate, creating 90 degree angles
      The pitching mound, a circle, has an 18 foot diameter
      Around first, second, and third base, there are 13 foot arcs
      The angle at which a batter hits the ball is very important. For example, if a right handed batter connects his bat with the ball at a 90 degree angle, the ball will go to second base, on the right side of the infield. However, if the same batter hits the ball at a 45 degree angle, the ball will go to the left side of the infield, by the shortstop.
    • Concept from another class: Ap Environmental science
      There are multiple irrigation techniques that are used to manage crops and fields worldwide including flood irrigation, furrow irrigation, drip irrigation, and center pivot sprinkler systems
      After the 1995 season at Dodger Stadium, the 100,000 square feet of Bermuda grass is grown on sand, and below the sand is a vacuum layer that holds a water tight barrier to hold rain water in. Moisture is monitored and controlled by a computer so that the grass will grow perfectly.
      This is an example of drip irrigation because water is released through open tubing mounted below ground near the roots of individual plants.