# 6-8th GRADE WORKBOOK CLAYTON KERSHAW HEIGHT: 6 3 WEIGHT: 220 BATS: LEFT THROWS: LEFT BORN: 3/19/1988 MLB DEBUT: 5/25/2008

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1 2 016 LOS A N G E L E S D O D G E R S MATHLETICS 6-8th GRADE WORKBOOK CLAYTON KERSHAW 2 2 P I T C H E R HEIGHT: 6 3 WEIGHT: 220 BATS: LEFT THROWS: LEFT BORN: 3/19/1988 MLB DEBUT: 5/25/2008

2 The Los Angeles Dodgers s mission is to connect with our fans throughout greater Los Angeles and inspire them to Play Live Learn Serve Mathletics is inspired by our Learn pillar. This engaging educational workbook for sixth through eight grades helps enhance math skills with baseball-inspired math excercises. Thank you for participating in Dodgers Mathletics and we hope to see you at Dodger Stadium soon! 11

3 BASEBALL 101 BATTING AVERAGE (BA): The number of hits divided by the total number of at bats. BULLPEN: The area used by the pitchers to warm up before taking the mound. DIAMOND: The layout of the four bases in the infield. DOUBLE: A hit where the batter makes it safely to second base. HIT: The act of safely reaching first base after putting the ball into play in fair territory. HOME RUN: When the baseball is hit out of the field of play in fair territory and the batter gets to run around the bases and score a run. HOMESTAND: A consecutive series of home games. PITCHER S MOUND: The bump in the middle of the four bases, where the pitcher pitches to the batter. RUN: A player who advances around all the bases is credited with a run. RUN BATTED IN (RBI): The credit a batter gets when his at bat results in a run being scored. SINGLE: A hit where a batter makes it safely to first base. STOLEN BASE: When a base runner successfully advances to the next base while the pitcher is delivering the ball to home plate. TRIPLE: A hit where a batter makes it safely to third base. 2

4 PREDICTIONS 1. The average length of a baseball game is about 3 hours. What is the average length of an inning in a regular 9-inning game? Using that value, what is your prediction for the length of a game that lasts 12 innings? 2. There are 162 games during the regular season, Andre Ethier hits 8 home runs after playing the first 50 games of the season. If he keeps up this pace, how many home runs do you predict he will hit during the entire season? 3. Three quarters of the way through the season, Joc Pederson has 15 home runs. At this rate, how many home runs did he hit per quarter? How many will he finish 4. Yasmani Grandal s goal was to have a.300 batting average at the end of the season. At the All-Star break (halfway through the season), he has 85 hits in 288 at bats. If he continues at this pace, will he reach his goal? (Hint: batting average is found by dividing hits by at bats.) 5. On average, a starting pitcher pitches once every 5 games. If the team plays 162 games and Kenta Maeda wins half of his starts, how many wins will he have at the end of the season? 6. Adrian Gonzalez s goal is to have 200 hits by the end of the season. After the first quarter of the season, he has 47 hits. Is he on pace to reach his goal? If not, how many hits does he need to hit in each of the 3 remaining quarters of the season? 7. Clayton Kershaw pitches on average 98 pitches per game. If he averages 7 innings per appearance, how many pitches does he average per inning? If he pitches a full game (9 innings) how many pitches would he throw? 8. If it takes Corey Seager about 4 seconds to run from home to first base, how long would it take him to run the bases if he hits a triple? If in one game, Puig gets two singles, a double and a triple, how much time would he spend running the bases? 3

5 CALCULATING A PITCHER S EARNED RUN AVERAGE (ERA) I N BAS E BA L L, A S TAT I S T I C C A L L E D A N E A RN E D RU N AV E R AG E O R E R A I S US E D TO T R AC K T H E AV E R AG E N UMB E R O F E A RN E D RU NS A P I TC H E R A L LOW E D F O R E V E RY N I N E I N N I N GS. T H E LOW E R A P I TC H E R S E R A, T H E L ES S T H E N UMB E R O F RU NS A P I TC H E R H AS G I V E N U P I N T H E I N N I N GS H E H AS P I TC H E D. TO C A LC U L AT E A P I TC H E R S E R A, YO U MU LT I P LY T H E TOTA L N UMB E R O F E A RN E D RU NS (E R) BY 9 A N D D I V I D E T H E RESU LT BY TOTA L I N N I N GS P I TC H E D (I P). T H E EQ UAT I O N I S: (er) x 9 = ERA IP EXAMPLE: CLAYTON KERSHAW GAVE UP 25 EARNED RUNS IN 43 INNINGS PITCHED. WHAT WAS HIS ERA? (25x9) 43 = = 5.23 ERA 1. During a season, Clayton Kershaw pitched 236 innings and gave up 48 earned runs. What was his ERA? 2. Which starting pitcher had the best ERA? Clayton Kershaw (see answer from #1) Kenta Maeda: 52 earned runs in 178 innings Hyun-Jin Ryu: 64 earned runs in 192 innings 3. Dodger Manager Dave Roberts has decided to buy dinner for the relief pitcher with the best ERA. Who will he choose? J.P. Howell: 14 earned runs in 62 innings Chris Hatcher: 32 earned runs in 54 innings Bret Anderson: 14 earned runs in 54 innings Kenley Jansen: 16 earned runs in 77 innings US E G RE AT E R T H A N (>), L ES S T H A N (< ) O R EQ UA L TO (=) S I G NS. 4. Brett Anderson gave up 1 earned run in 14 innings Joe Blanton gave up 10 earned runs in 34 innings. 4

6 CALCULATING A BATTER S ON-BASE PERCENTAGE (OBP) ON-BASE PERCENTAGE (OBP) IS A STATISTIC THAT EXPRESSES HOW OFTEN A BATTER REACHES BASE ON HITS, WALKS OR BEING HIT BY A PITCH. OBP DIFFERS FROM BATTING AVERAGE (AVG) BECAUSE AVG ONLY INCLUDES A BATTER S HITS. TO CALCULATE OBP, ADD HITS (H), WALKS (BB) AND AMOUNT OF TIMES HIT BY A PITCH (HBP). THEN, DIVIDE THAT VALUE BY THE SUM OF AT BATS (AB), WALKS, AMOUNT OF TIMES HIT BY PITCH (HBP) AND SACRIFICE FLIES (). THE EQUATION IS: H + BB + HPB AB + BB + HBP + = OBP EXAMPLE: Corey Seager had 108 hits, 30 walks and was hit by 2 pitches. He had 388 at bats and hit 3 sacrifice flies, what was his OBP? ( ) ( ) 140 = = OBP 1. In 2015, Joc Pederson had 71 hits, 22 walks and 3 sacrifice flies in 263 at bats. He was hit by 2 pitches. What was his OBP? 2. Andre Ethier had 131 hits, 61 walks and 3 sacrifice flies in 482 at bats. He was hit by 7 pitches. How many points higher was his OBP than his batting average? (Hint: batting average is found by dividing hits by at bats). 3. Howie Kendrick had 123 hits, 28 walks and 2 sacrifice flies in 435 at bats. He was hit by 3 pitches. Yasmani Grandal had 93 hits, 45 walks and 6 sacrifice flies in 390 at bats. He was hit by 3 pitches. Corey Seager had an OBP of.402. Who has the highest OBP? 4. If Justin Turner had an OBP of.402 in 2014 and had 27 walks, 2 sacrifice fly and was hit by a pitch 3 times in 304 at bats, how many hits did he have? 5

7 BASEBALL CARD STATISTICS BELOW ARE ADRIAN GONZALEZ S BASEBALL STATISTICS JUST LIKE YOU WOULD FIND ON HIS BASEBALL CARD. ANSWER THE FOLLOWING QUESTIONS BASED ON HIS STATISTICS. ADRIAN GONZALEZ 23 1B BATS: LEFT THROWS: LEFT HT: 6 2 WT: 225 BORN: 5/8/1982 IN SAN DIEGO, CA DEBUT: 4/18/ ADRIAN GONZALEZ FIRST BASEMAN YEAR TEAM GAMES (G) RUNS (R) HITS (H) HOME RUNS (HR) RUNS BATTED IN (RBI) 2009 San Diego San Diego Boston Boston Boston/Los Angeles Los Angeles TOTAL , What is the average number of games Adrian Gonzalez played from ? 2. How many runs did Gonzalez score in 2011? 3. In 2009, Gonzalez played in 160 games and hit 40 home runs. What is the number of games he played in divided by the number of home runs he hit? 4. A. How many RBI did Gonzalez have in 2014? B. What percentage of his total RBI were in 2014 (round to the nearest percentage)? 5. How many hits did Gonzalez have in 2012? 6. A. How many home runs did Gonzalez have in 2012? B. What are the factors of that number? 6

8 DODGER STADIUM FIELD MEASUREMENTS BELOW IS A PICTURE OF DODGER STADIUM. THE SQUARE CREATED BY THE FOUR BASES IS CALLED THE DIAMOND. 1. Adrian Gonzalez hits a double to right field. How many feet would he run from home plate to second base? 2. Joc Pederson hits a home run over the center field wall. How many feet would the ball have to travel to go over the wall? 3. Before the game starts, Yasmani Grandal, the Dodgers catcher, runs from the left field bullpen to home plate. How many feet did he run? 4. Andre Ethier hits a line drive to right field. He runs to first, then starts to head to second. Halfway between first and second, he turns around and runs back to first base to avoid being tagged out at second. How many feet did he run? 5. A. How many degrees is the angle at 1st base? B. What is another name for that type of angle? 6. A. What is the perimeter of the diamond? B. What is the area of the diamond? 7. What is the distance, rounded to the nearest foot, from home plate straight to second base (where the dotted line is drawn)? (Hint: use the Pythagorean theorem) 8. If the radius of the pitcher s mound is 9 feet, what is the area to the nearest foot (the pitcher s mound is a circle, use 3.14 for π)? 9. In a weekend series, Corey Seager hits a home run to left field, right field and center 7

9 MATH CROSSWORD PUZZLE COMPLETE ALL THE MATH PROBLEMS THEN SPELL THE ANSWERS OUT, WITHOUT SPACES, IN THE CROSSWORD BELOW. 1. What fraction do you get, in reduced form, by dividing Chris Taylor s number by Trayce Thompson s number? What is the mean of Adrian Gonzalez s number, Trayce Thompson s number and Andre Ethier s number? 3. What is the median of the players numbers on this page? 5. What is the square root of Andre Ethier s number? 6. What is the least common multiple of Clayton Kershaw s number and Andre Ethier s number? 7. What is the range of the players numbers on this page divided by 3? Andre Ethier Adrian gonzalez Trayce Thompson Joc Pederson Clayton Kershaw Chris Taylor hyun-jin ryu 8

10 SOLVING A LOGIC PUZZLE USE THE FOLLOWING CLUES TO SOLVE THE LOGIC PUZZLE BELOW. EACH OPTION IS USED ONCE AND ONLY ONCE (I.E., EXACTLY ONE PLAYER IS #16, NO MORE OR LESS). USE AN X TO MARK THE BOXES THAT DO NOT MATCH UP AND A CHECK MARK TO SIGNIFY A MATCH. 1. Trayce Thompson s number is not an even number. 2. Both Joc Pederson and Trayce Thompson were born in California cities, which cities? 3. (5 x 4) +3 equals Adrian Gonzalez s number. 4. Clayton Kershaw was born in a city in the state of Texas. 5. Andre Ethier s number is Joc Pederson s number minus the number Joc Pederson s number is a prime number and greater than Adrian Gonzalez was born in the California city that is home to the Padres. 8. Clayton Kershaw s number is an even number with the same number in it. 9. Andre Ethier was born in a city that is very close to the Dodgers spring training complex. PLAYER ETHIER GONZALEZ THOMPSON KERSHAW PEDERSON PALO ALTO DALLAS CITY LOS ANGELES SAN DIEGO PHOENIX 16 NUMBER

11 DODGERS MATHLETICS ANSWER SHEET PREDICTIONS CALCULATING A PITCHER S ERA CALCULATING A BATTER S OBP BASEBALL CARD STATISTICS A. B A. B. DODGER STADIUM FIELD MEASUREMENTS A. B. 6. A. B MATH CROSSWORD PUZZLE SOLVING A LOGIC PUZZLE 1. Ethier is # and was born in 2. Gonzalez is # and was born in 3. Thompson is # and was born in 4. Kershaw is # and was born in 5. Pederson is # and was born in 10

12 2016 SCHEDULE APRIL MAY JUNE SUN MON TUE WED THU FRI SAT 3 4 4:05 5 7:10 6 6:10 7 1:35 8 7: : : : : : : : : : : :10a 22 5: : : : : : : :10 30 COL ESPN SUN MON TUE WED THU FRI SAT 1: : : : : : :05 7: : : : : :10 4:10 28 SUN MON TUE WED THU FRI SAT 31 7:10 1 7:10 2 7:10 1 1: :10 4 4: : :07a 1 5: :20a 3 7:10 4 LAA LAA ESPN ARI ARI ARI ATL ATL ATL COL COL MIA MIA MIA MIA LAA TB TB TOR TOR 1: :07a 9 7: : : : : :10 5 1:10 6 7:10 7 7:10 8 7: :15 11 FS1 6:10 22 TOR STL ESPN NYM LAA LAA LAA LAA ESPN NYM CHC CHC NYM NYM NYM CIN CIN CIN STL STL 4:15 FOX NYM NYM 12 5: : : : : :10 22 CHC ATL COL COL COL ESPN ARI ARI ARI MIL WSH WSH WSH 12: : : :10 23 CHC 26 10:35a 27 9:35a 28 5: : :10a PIT PIT MIL MIL MIL ATL 24 4: :10 4:15 7:10 MIL MIL MIL PIT ATL PIT FOX 4:15 FOX JULY SUN MON TUE WED THU FRI SAT 3 1:10 4 6:10 5 7: :10 7 7:10 8 7: : : : : COL ARI 1: : : :05a 22 5: : :15a : : : :10 BAL BAL ASG AUGUST SUN MON TUE WED THU FRI SAT 4: :10a 22 9:35a 23 7: : : : :05 1: : : :10 SEPT/OCT SUN MON TUE WED THU FRI SAT 1 7:10 2 7:10 1: :40 3 5:40 4 5:40 5 7:10 6 1: :10 3 6:10 COL BAL ARI 4:15 ARI WSH WSH WSH STL STL STL TB TB ARI ARI SAN DIEGO, CA COL COL COL COL BOS BOS 6:10 ARI FOX 7 28 BOS PIT CIN 4:10 8 7:10 9 7: : : :05 4 1:10 5 PHI 4: : : :10 PHI PHI PHI CIN CHC COL COL COL PHI PHI PIT HOME GAME AWAY GAME CIN CHC PIT CIN CHC FS1 FS1 FS :10a 12 4: : : :10 6 7:10 7 7:10 8 ARI ARI ARI MIA NYY NYY NYY 4: : : :10 1: : : : : :10 24 ARI COL COL 1: : : : : :15 1 1:05 9 MIA 4:10 MIA ARI ARI ARI COL 6:10 COL TBD = to be determined. Dates, times and opponents are subject to change. All game times listed are Pacific time. DID YOU KNOW? The first game played at Dodger Stadium was on April 10, Dodger Stadium is the 3rd oldest park in the Major Leagues behind Fenway Park in Boston (103 years old) and Wrigley Field in Chicago (101 years old). Shawn Green holds the Dodgers record for the most home runs hit in a season with 49 home runs in The Dodgers were the only team in the 1980 s to win two World Series, 1981 and 1988.

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