Embed Size (px)
Citation preview
6 - 8 t h G R A D E W O R K B O O K
2 0 1 6 L O S A N G E L E S D O D G E R S
MATHLETICSMATHLETICS
HEIGHT: 6’3 WEIGHT: 220BATS: LEFT THROWS: LEFT
BORN: 3/19/1988 MLB DEBUT: 5/25/2008
2 2 | P I T C H E RCLAYTON KERSHAW
1
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!
Play Live Learn Serve
The Los Angeles Dodgers’s mission is to connect with our fans throughout greater Los Angeles and inspire them to
1
2
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.
3
PREDICTIONS
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
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?
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?
4
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:
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 R E 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.
EXAMPLE: CLAYTON KERSHAW GAVE UP 25 EARNED RUNS IN 43 INNINGS
PITCHED. WHAT WAS HIS ERA?
5.23 ERA(25x9)
43
225
43= =
= ERA(er) x 9
IP
5
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?
CALCULATING A BATTER’S ON-BASE PERCENTAGE (OBP)O N - BAS E P E RC E N TAG E (O B P) I S A S TAT I S T I C T H AT E X P RES S ES H OW O F T E N A BAT T E R RE AC H ES BAS E O N H I TS , WA L KS O R B E I N G H I T BY A P I TC H . O B P D I FFE RS FROM BAT T I N G AV E R AG E (AVG) B EC AUS E
AVG O N LY I N C LU D ES A BAT T E R ’S H I TS . TO C A LC U L AT E O B P, A D D H I TS (H), WA L KS (B B) A N D A MO U N T O F T IMES H I T BY A P I TC H (H B P). T H E N , D I V I D E T H AT VA LU E BY T H E SUM O F AT BATS (A B), WA L KS ,
A MO U N T O F T IMES H I T BY P I TC H (H B P) A N D SAC RI FI C E FL I ES (S F). T H E EQ UAT I O N I S:
= OBPH + BB + HPB
AB + BB + HBP + SFEXAMPLE: 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?
.331 OBP(108+30+2)
(388+30+2+3)
140
423= =
6
1. What is the average number of games Adrian Gonzalez played from 2009-2014?
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?
BASEBALL CARD STATISTICSB E LOW A RE A D RI A N G O NZ A L E Z ’S BAS E BA L L S TAT I S T I C S J US T L I K E YO U WO U L D FI N D O N H I S BAS E BA L L C A RD. A NSW E R T H E F O L LOW I N G Q U ES T I O NS BAS E D O N H I S S TAT I S T I C S .
F I R S T B A S E M A NADRIAN GONZALEZ
2323
YEAR TEAM GAMES (G)
RUNS (R)
HITS (H)
HOME RUNS (HR)
RUNS BATTED IN (RBI)
2009 San Diego 160 90 153 40 992010 San Diego 160 87 176 31 1012011 Boston 159 108 213 27 1172012 Boston 159 75 188 18 1082013 Boston/Los Angeles 157 69 171 22 1002014 Los Angeles 159 83 163 27 116
TOTAL 954 512 1,064 165 641
BATS: LEFT THROWS: LEFT HT: 6’2’’ WT: 225 BORN: 5/8/1982 IN SAN DIEGO, CA DEBUT: 4/18/2004
ADRIAN GONZALEZ 23 1B
7
DODGER STADIUM FIELD MEASUREMENTSB E LOW I S A P I C T U RE O F D O D G E R S TA D I UM . T H E SQ UA RE C RE AT E D
BY T H E F O U R BAS ES I S C A L L E D T H E D I A MO N D.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
8
MATH CROSSWORD PUZZLECOMP L E T E A L L T H E M AT H P RO B L EMS T H E N S P E L L T H E A NSW E RS O U T,
W I T H O U T S PAC ES , I N T H E C ROS SWO RD B E LOW.
1.
2.
5.
6.
7.
3.
1. What fraction do you get, in reduced form, by dividing Chris Taylor’s number by Trayce Thompson’s number?
2. 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?
Chris Taylor hyun-jin ryu
Joc Pederson
Clayton Kershaw
Andre Ethier Adrian gonzalez Trayce Thompson
9
SOLVING A LOGIC PUZZLEUS E T H E F O L LOW I N G C LU ES TO SO LV E T H E LO G I C PUZ ZL E B E LOW. E AC H O P T I O N I S US E D O N C E
A N D O N LY O N C E ( I . E . , E X AC T LY O N E P L AY E R I S #16, N O MO RE O R L ES S). US E A N X TO M A R K T H E BOX ES T H AT D O N OT M ATC H U P A N D A C H EC K M A RK TO S I G N I F Y A M ATC H .
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 15.
6. Joc Pederson’s number is a prime number and greater than 22.
7. 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
CIT
Y
PALO ALTO
DALLAS
LOS ANGELES
SAN DIEGO
PHOENIX
NU
MB
ER
16
23
21
22
31
10
DODGERS MATHLETICS ANSWER SHEETPREDICTIONS
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. _____________________________________________
5. _____________________________________________
6. _____________________________________________
7. _____________________________________________
8. _____________________________________________
CALCULATING A PITCHER’S ERA
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. _____________________________________________
CALCULATING A BATTER’S OBP
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. _____________________________________________
BASEBALL CARD STATISTICS
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. A. ___________________ B. _____________________
5. _____________________________________________
6. A. ___________________ B. _____________________
DODGER STADIUM FIELD MEASUREMENTS
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. _____________________________________________
5. A. ___________________ B. _____________________
6. A. ___________________ B. _____________________
7. _____________________________________________
8. _____________________________________________
9. _____________________________________________
MATH CROSSWORD PUZZLE
1. _____________________________________________
2. _____________________________________________
3. _____________________________________________
4. _____________________________________________
5. _____________________________________________
6. _____________________________________________
7. _____________________________________________
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 __________________________________
2016 SCHEDULE2016 SCHEDULEA P R I L
SUN MON TUE WED THU FRI SAT
J U N E
SUN MON TUE WED THU FRI SAT
M A Y
SUN MON TUE WED THU FRI SAT
J U L Y
SUN MON TUE WED THU FRI SAT
S E P T / O C T
SUN MON TUE WED THU FRI SAT
A U G U S T
SUN MON TUE WED THU FRI SAT
TBD = to be determined. Dates, times and opponents are subject to change. All game times listed are Pacific time.
2 0 1 6 P R E L I M I N A R Y S C H E D U L E
3 4 5 6 7 8 9
10 11 12 13 14 15 16 15 16
23 24 25 26 27
29 30 31
28
17
31 1 2 2 3 1 2
10 11
12 13 14 15
19 20 21 22
16 17 18
24 25
3 4
5 6 7 8 9
23
26 27 28 29 30
4 5 6 7
8
17 18 19 20 21 22
1918 20 21
2223
24 25 26 27 28 29
1
9 10 11 12 13 14
30
3 4 5 6 7 8 9
10 11 12 13 14 15 16 15 16
23 24 25 26 27
29 30 31
17
1 2 2 3 2
10
1211 13 14 15
19 20 21 22
16 17
24
125
3
54
18
6 7 8
1
9
23
26
2
27 28 29 30
4 5 6
8
17
31
18 19 20 21 22
1918 20
22
14
28
7
2123
24 25 26 27 28 29
1
9 10 11 12 13
30
7:10
7:10
7:10 7:10 7:10 7:10 7:10
1:10
5:057:10 7:10
7:10 7:10
7:10 7:10
7:10 7:10 7:10
7:10 7:10 7:10
7:10
7:10 7:10 7:10
7:10 7:10
5:10 7:10 7:10
7:10 7:10 7:10 7:10 7:10
7:10
6:10
7:10
7:10 7:106:10
6:10
6:10
4:05
1:05
1:10
7:10
4:10 4:10 9:10a 5:40 5:10
6:10 1:35 7:15
7:05
4:05
4:05 4:05
7:10 7:10 6:10 1:05
12:05
7:15
1:05
4:15
10:35a 9:35a
1:40
7:05 7:40 7:10
1:05 7:15
5:37
4:15
7:10
1:10
7:10 4:10 4:10
4:10
10:10a
4:10
4:10
5:10 5:10 11:10a
4:15
4:07 10:07a 5:05 11:20a
10:07a
5:05 2:05 5:05
7:10 12:10 7:10
1:10
1:106:40
6:40 6:40
6:40 6:40 5:10
1:10
12:40
5:10
7:10 7:10
4:05
9:35a 7:10 7:10
12:10 7:10
7:10
6:10
1:056:10
1:10
11:15a
7:10
4:05 4:05 9:05a 5:15 4:15
12:10 7:10 7:10
4:05
10:10a
4:05 4:10 4:10
4:15
7:10
1:10
1:10
1:10
5:40 5:40 5:40
7:107:10 1:05
7:10 1:05 6:10
7:10
7:10
4:10 1:10
1:10
1:10
1:10
1:10 5:40 5:40 12:10
4:05
SD SD SD SF SF SF
ARI ARI ARI SF SF
LAA LAA
LAA LAA LAA LAA
NYM
NYM NYM
NYM CHC CHC
CHC CHC
CIN CIN CIN
NYM NYM NYM STL
ATL
ATL COL COL COL
MIL WSH WSH WSH
MIL MIL MIL
SF
SF ARI ARI ARI
SF
PIT PIT
PIT PIT MIL MIL MIL
ATL
STL
STL
LAA TB TB TOR TOR
TOR
ATL ATL ATL COL COL
COL MIAMIA MIA MIA SD
SD
SD SD
SD
SD
SF
SF
BAL BAL
ASG
BAL SD SD SD
ARI ARI
COL
COL
PHI PHI PHI
PHI
CHCSF CHC
CHC COL COL COL
CIN SF SF
PHI PHI PIT
SD
SD ARI ARI ARI
ARI SF SF SF COL
ARI ARI ARI
MIA
MIA NYY NYY NYY
MIA
COL COL
SF SFCOL
SF
SD SD SD
SD
PIT
PIT
COL COL COL COL BOS BOS
BOS
WSH WSH WSH STL STL
STL TB TB ARI
SD
CIN CIN
CIN
ARI
SD
ARI
ARI
SAN DIEGO, CA
HOME
GAME
AWAY
GAME
ESPN
FS1
ESPN
ESPN
FOX
ESPN
FOX
ESPN
FOX
FOX
FS1
FS1
FS1
The first game played at Dodger Stadium was on April 10, 1962.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 2001.
The Dodgers were the only team in the 1980’s to win two World Series, 1981 and 1988.
DID YOU KNOW?
