click below to begin! using a baseball statistic to help you learn math!
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Pitching
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Using a baseball statistic to help you learn math!
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Video on ERA
Learning ERA
Practicing ERA
Ranking ERA
Batters Up!Exam
Click on an exercise to get warmed up. Or, you could watch a video on ERA for some extra stretching. When your arm is nice and loose, go a head and take the mound by taking the exam.
Learning ERA
• ERA stands for:
• It is a way of telling how productive a pitcher is during the course of a season, and his career.
Earned Run Average
Learning ERA
• Earned Run: “Every time a run scores on a hit, sacrifice, sacrifice fly, wild pitch, bunt, base on balls, stolen base, fielder's choice, put-out, or balk a pitcher will be charged an earned run.”
Learning ERA
• Sacrifice Fly: ”Occurs when a batter’s caught fly ball ends in a runner tagging up and
advancing to the next base”
Learning ERA
• Wild Pitch: “Any pitch that bounces on the ground and allows the runners to advance to the next base.”
Learning ERA
• Base on Balls: “An award of first base o a batter receiving four balls pitched outside of the strike zone.”
• Base on balls and the term “walk” mean the same thing.
Learning ERA
• Stolen Base: “The act of a runner gaining a base without the help of a hit, an error, or a walk. Occurs when the pitched ball is on its way to the batter.”
Learning ERA
• Fielder’s Choice: When a fielder elects to throw the ball to a point other than first base to record a put-out
Learning ERA
• Balk: An illegal maneuver by the pitcher when there is a runner or runners on the base. The runners automatically proceed to the next base when balk is called.
Learning ERA
• Unearned Run: A run scored as the result of defensive errors
Learning ERA
What is a good ERA?• An ERA is an average, therefore, a smaller average
of earned runs scored is better than a larger average of earned runs scored.
Low ERA High ERA
– Click home to go to the next section
Practicing ERA
Equation for finding ERA:# of EARNED runs # of innings pitched
9
• You multiply by 9 because an ERA is the average number of earned runs a pitcher gives up per full game. A regular baseball game consists of 9 innings.
Practicing ERA
12
3
4
5
6 78
9
10
-Click a number to get started
Practicing ERA
• Which is the correct ERA for Chicago Cubs pitcher Ryan Dempster?– 2011 Pitching StatisticsInnings Pitched: 202.1Earned Runs: 108Walks: 82Strike outs: 191
A)4.80B)22.2C)1.87
Practicing ERA
Nice Pitch!• Ryan Dempster earned a 4.80 ERA during the 2011
season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for New York Yankees pitcher Mariano Rivera?– 2011 Pitching StatisticsInnings Pitched: 61.1Earned Runs: 13Walks: 8Strike outs: 60
A)4.70B)1.20C)1.91
Practicing ERA
Nice Pitch!• Mariano Rivera earned a 1.91 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Miami Marlins pitcher Ryan Webb?– 2011 Pitching StatisticsInnings Pitched: 50.2Earned Runs: 18Walks: 20Strike outs: 31
A)1.08B)3.20C)2.63
Practicing ERA
Nice Pitch!• Ryan Webb earned a 3.20 ERA during the 2011
season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Colorado Rockies pitcher Matt Reynolds?– 2011 Pitching StatisticsInnings Pitched: 50.2Earned Runs: 23Walks: 1Strike outs: 50
A)3.09B)1.09C)4.09
Practicing ERA
Nice Pitch!• Matt Reynolds earned a 4.09 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for San Francisco Giants pitcher Tim Lincecum?– 2011 Pitching StatisticsInnings Pitched: 217Earned Runs: 66Walks: 86Strike outs: 220
A)4.27B)7.24C)2.74
Practicing ERA
Nice Pitch!• Tim Lincecum earned a 2.74 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Cincinnati Reds pitcher Bronson Arroyo?– 2011 Pitching StatisticsInnings Pitched: 199Earned Runs: 112Walks: 45Strike outs: 108
A)1.67B)7.05C)5.07
Practicing ERA
Nice Pitch!• Bronson Arroyo earned a 5.07 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Washington Nationals pitcher Stephen Strasburg?– 2011 Pitching StatisticsInnings Pitched: 24Earned Runs: 4Walks: 2Strike outs: 24
A)1.50B)1.00C)2.05
Practicing ERA
Nice Pitch!• Stephen Strasburg earned a 1.50 ERA during
the 2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for St. Louis Cardinals pitcher Chris Carpenter?– 2011 Pitching StatisticsInnings Pitched: 237.1Earned Runs: 91Walks: 55Strike outs: 191
A)5.34B)3.45C)4.53
Practicing ERA
Nice Pitch!• Chris Carpenter earned a 3.45 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Milwaukee Brewers pitcher Randy Wolf?– 2011 Pitching StatisticsInnings Pitched: 212.1Earned Runs: 87Walks: 66Strike outs: 134
A)3.69B)3.96C)3.66
Practicing ERA
Nice Pitch!• Randy Wolf earned a 3.69 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
• Which is the correct ERA for Atlanta Braves pitcher Tim Hudson?– 2011 Pitching StatisticsInnings Pitched: 215Earned Runs: 77Walks: 56Strike outs: 158
A)3.22B)2.32C)2.23
Practicing ERA
Nice Pitch!• Tim Hudson earned a 3.22 ERA during the
2011 season
Practicing ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [# of EARNED runs ÷ # of innings pitched
× 9]
Practicing ERA
BONUS• Chicago Cubs pitcher, Kerry Wood, had a 3.35
ERA with 19 earned runs. • Find the number of innings he pitcher during the 2011
season. Be careful because you only get one shot!
A)9.60 D)10.1B)6.70 E)51.0C)70.6 F)60.9
Practicing ERA
Nice Pitch!• Kerry Wood Pitched 51.0 innings during the
2011 season
Practicing ERA
You Walked Him!• It’s okay, you’ll get him next time. Keep your head up
and keep working hard!• Remember: [# of EARNED runs ÷ # of
innings pitched × 9]
Ranking ERA
Remember?• An ERA indicates the average number of earned runs
a pitcher gives up per game (9 innings). So, a low ERA is more desirable than a high ERA.
Low ERA High ERA
Ranking ERA
• Presented with a list, rank the given ERA’s in order of best ERA to worst ERA. – [1.69, 3.75, 1.96, 4.30, 2.01]
A) 2.01, 3.75, 4.30, 1.69, 1.96B) 1.69, 1.96, 2.01, 3.75, 4.30C) 4.30, 3.75, 2.01, 1.96, 1.69D) 2.01, 3.75, 1.96, 4.30, 1.69
Ranking ERA
Nice Pitch!• The order: 1.69, 1.96, 2.01, 3.75, 4.30 is
correct!
Ranking ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [Low ERA High ERA]
Ranking ERA
• Presented with a list of pitchers and their ERA’s, rank the pitchers from best to worst.– [Ryan Dempster: 4.80, Mariano Rivera: 1.91,
Bronson Arrayo: 5.07, Stephen Strasburg: 1.50]
A) Dempster, Rivera, Arroyo, StrasburgB) Rivera, Strasburg, Dempster, ArroyoC) Strasburg, Dempster, Rivera, ArroyoD) Strasburg, Rivera, Dempster, Arroyo
Ranking ERA
Nice Pitch!• The order: Strasburg, Rivera, Dempster, Arroyo
is correct!
Ranking ERA
You Walked Him!• Try again by clicking the back button.
• Remember: [Low ERA High ERA]
World Series Game 7
REVIEW
Good vs. Bad ERA How to Find ERA
Earned vs. Unearned Runs
Click here to take the mound!
-Choose and click a section to review
World Series Game 7
Earned vs. Unearned Run• Do you remember?
Earned Run: Every time a run scores on a hit, sacrifice, sacrifice fly, wild pitch, bunt, base on balls, stolen base, fielders choice, put-out, or balk a pitcher will receive an earned run
Unearned Run: A run scored as a result of a defensive error
World Series Game 7
How to find ERA• Remember, ERA stands for Earned Run
Average
[# of EARNED runs ÷ # of innings pitched × 9]
World Series Game 7
Good vs. Bad ERA• Remember ERA indicates the average number
of earned runs a pitcher gives up per game (9 innings)
• Good ERA = Low ERA• Bad ERA = High ERA
World Series Game 7
1) Which is the correct definition of ERA?
A) Earned Run AdvantageB) Earned Run AverageC) Every Run Average
World Series Game 7
Nice Pitch!• ERA: Earned Run Average
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
2) Decide if the run scored was earned or unearned.
[Run scored on a sacrifice bunt]
A) EarnedB) UnearnedC) Either one works
World Series Game 7
Nice Pitch!• Right! Earned Run!
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
3) Decide if the run scored was earned or unearned.[Run scored as a result of an error made by the
first baseman]
A) EarnedB) UnearnedC) Either on works
World Series Game 7
Nice Pitch!• Right! unearned Run!
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
4) Find the ERA of a pitcher with the given stats:Earned Runs: 24Innings pitched: 204.7Base on Balls: 5Strike outs: 60
A) 76.5B) 2.64C) 1.06
World Series Game 7
Nice Pitch!• Right! 1.06 ERA!
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
5) Find the ERA of a pitcher with the given stats:Earned Runs: 45Innings pitched: 175.4Base on Balls: 60Strike outs: 18
A) 2.30B) 2.31C) 3.90
World Series Game 7
Nice Pitch!• Right! 2.31 ERA!
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
6) Rank the given ERA’s from best to worst:[1.91, 7.91, 0.98]
A) 1.91, 0.98, 7.91B) 7.91, 1.91, 0.98C) 0.98, 1.91, 7.91
World Series Game 7
Nice Pitch!• Right! 0.98, 1.91, 7.91
Next Question
World Series Game 7
You Walked Him!• Try again by clicking the back button
World Series Game 7
7) Rank these pitchers from best ERA to worst ERA:
[J. Shapiro: 1.37, C. Mong: 10.98, D. Hartman: 2.76]
A) C. Mong, D. Hartman, J. ShapiroB) D. Hartman, C. Mong, J. ShapiroC) J. Shapiro, D. Hartman, C. Mong
World Series Game 7
Nice Pitch!• Right! J. Shapiro, D. Hartman,
C. Mong
Continue
World Series Game 7
You Walked Him!• Try again by clicking the back button
You Won the World Series!
• Good job Kid! You won your team the World Series! Keep up the hard work, and keep your ERA down! Nice pitching!
