Mathematics Improves Basketball Angelica Klivan, Iris Latorre, Carmen Rosa, Cristian Yepes Early Start Program Math 105, Professor Gary Welz, Peer Mentor Kenny Gonzalez Introduction Terms to Know Methodology &RQFOXVLRQ In the game of basketball, mathematics is used ƒ True Shooting Percentage (TS%)- A statistic in ● Three players will shoot from three different Mathema constantly to improve one’s performance. basketball used to gauge shooting efficiency that positions: tics is key - Chest Height Achieving the objective of shooting a takes into consideration points scored from three in pointers, field goals, and free-throws to get a basketball includes using percentages and - Chin Height basketbal measure of points scored each shooting attempt. l. Most angles. By finding the most consistent - Over Head Height players percentage of shots made while using a certain ƒ Trajectory- A curve or surface cutting a family of curves or surfaces at a constant angle All players will shoot from the free throw line. do not angle, you can find out which player will score Each player will start from a different position, In I actively the most baskets. While shooting a ball into ƒ Backspin- A backward spin given to a moving ball, focus on causing it to stop more quickly or rebound at a resulting in a different trajectory, and continue to the basket, there has to be a mental projection mathema steeper angle upon hitting a surface rotate with each shot. on how a certain angle will affect the outcome tics while Each player will take 10 shots per position. they are of the shot. ƒ TS% is calculated as follows: playing, Points / (2 * (FG Attempts + 0.44 * FT Attempts) We will keep track of how many shots each player ● If the angle of the arms is too wide, then the made from each hand position. but this ball might go past the basket. study We will keep track of the assigned order for ● Alternatively, if the angle of the arms is too shows making the shots. narrow, then it will limit the shot, falling that short of the basket. these are key In this experiment, we will gather data )LQGLQJV fundame through the usage of algebra and geometry in ntals in order to examine which form and angle will Success Player 1 Player 2 Player 3 the game, provide the most consistent scoring form. from the Rate angles to finding Chest the Height 30% 20% 10% trajectory Research Project . By researchi ng the Chin Height How do angles and form improve free 90% 80% 80% percentag throws in true shooting percentages (TS%)? References es the players http://www.sportingcharts.com/dicti will find onary/nba/true-shooting-percentage-what Over Head ts.aspx positions Height 40% 90% 50% and angles make for a better shot. 048 .