Return to Mathematics IndexPLAY BALLRoslyn N. Matthews South Shore High School 7527 S. Constance Chicago, IL 60649 1-312-933-8180OBJECTIVES:1) Given the White Sox averages, compute the batting averages and earned run averages. 2) Given general dimensions of the playing field and some equipment, change to the metric system. 3) To find the diagonal distance from 3rd base to 1st base. 4) To find the diagonal distance from 40 ft behind 3rd base to 1st base.MATERIALS:1) overhead projector 2) prepared transparencies 3) White Sox average sheet from the Chicago Sun-Times (7-16-86) 4) picture of a baseball field 5) blackboard 6) baseball 7) bat 8) calculators 9) an official baseball rules handbookSTRATEGIES:Does anyone know the nation's oldest active major league ballpark?Comiskey ParkFine-----Let's Play Ball The league President appoints an official statistician to maintain an accumulative record of all the batting, fielding, running, and pitch-ing records for each player. This morning we are going to complete an abbreviated average table. This table was obtained from Wednesday's Sun-Times--July 16, 1986. (Figure 2) Batting averages =HitsThe percentage of times that a player gets A.B. a hit. The headings for each column will be explained. The formula will be emphasized and the students will now compute the batting averages of the names listed on their table. Earned Run Averages = (ER/IP)9 The average number of runs a pitcher allows his opponents to score. The headings for each column will be explained. The formula will be emphasized and the students will now compute the earned run averages. Certain dimensions are given of the playing field and equipment. (Figure 3) Change standard units to the metric system. Using the baseball field: Find the distance from 3rd base to 1st. Draw the distance. Compute. Pythagorean Theorem OR 45-45-90 Rt Triangle d^{2}= 90^{2}+ 90^{2}Leg times the sq rt of 2 d = 127.28 ft. d = 127.28 ft. The left fielder catches a bouncing ball 40 ft. behind the 3rd base. How far would the out- fielder have to throw the ball. Draw the distance. Compute Pythagorean Theorem d^{2}= 130^{2}+ 90^{2}d = 158.11 ft. BRAINTEASER There are 100 seats available at the baseball game. These seats may be divided in proportion to men, women, and children. However, the cost of the tickets for these seats must equal exactly $100. The cost for a man is $5.00, for a woman $2.00, and for a child $.10. Determine the number of men's, women's, and children's ticket to purchase. (Figure 2) WHITE SOX AVERAGES (Completed) GW Batter AVG G AB R H 2B 3B HR RBI RBI SAC SB E Baines .316 84 332 50 105 18 2 12 53 6 7 1 2 Hairston .308 54 107 16 33 7 0 2 18 3 1 0 0 Bonilla .262 71 221 26 58 9 2 2 25 1 3 4 2 Cruz .261 49 134 28 35 1 0 0 15 1 1 5 4 Walker .261 62 222 29 58 10 6 10 43 5 2 1 5 Hulett .258 74 233 26 60 11 5 6 21 3 5 2 7 Guillen .252 83 278 34 70 11 3 2 33 5 4 6 11 Cangelosi .243 80 272 47 66 11 2 1 17 2 5 39 4 Tolleson .236 71 233 36 55 6 3 3 23 2 12 13 8 Lyons (S) .233 9 30 4 7 0 0 0 2 0 0 2 0 Lyons (T) .247 69 154 24 38 7 2 1 16 1 0 3 3 Fisk .216 76 287 30 62 8 0 7 45 4 6 2 7 Kittle .208 75 259 29 54 10 0 13 41 2 6 2 0 Skinner .186 52 129 13 24 3 1 2 4 1 1 1 3 Nichols .182 40 55 3 10 2 0 0 7 3 0 5 0 Others .200 -- 85 11 17 1 0 0 2 0 0 0 12 Totals .248 86 360 36 55 83 65 Opponents .258 86 378 40 54 58 68 Pitcher W L ERA G GS CG SH SV IP H ER BB SO Dawley 0 4 2.77 27 0 0 0 1 48.2 45 15 15 33 Bannister 5 5 3.17 12 11 0 0 0 65.1 64 22 23 31 McKeon 3 1 3.04 28 0 0 0 1 26.2 14 9 17 13 (figure 3) General Dimensions Multiply by Standard Round to Metric .09290 Playing 2 acres Nearest tenth .8 H Divide by 10000 Field (87120 ft^{2)}.3048 Diamond 90 ft " " 27.4 m 2.54 Baseball 9 to 9.25in Whole no to tenth 23/23.5 cm 28.349523 Baseball (wt) 5 0z " " 142 g 3 " " 5.25 Oz " " 149 g 25.4 Bat (diameter) 2.75 in " " 69 mm .3018 Bat 42 in Nearest hundredth 1.07 m 2.54 Batter's Box 17 in Whole no 43 cm (Note: Figure 1 is a picture of the baseball field which is attached to the end of this report.)