⚾ Welcome to the Big Leagues!
The crack of the bat echoes through Sunshine Stadium as the Rocket Rangers step up to the plate. As the team's official scorekeeper, you'll use fractions and data analysis to track their amazing season!
🏟️ Baseball Field Fractions
🏠 Home → 1️⃣ → 2️⃣ → 3️⃣ → 🏠
The Baseball Diamond:
- 1st base = 1/4 of the way around
- 2nd base = 2/4 (or 1/2) of the way around
- 3rd base = 3/4 of the way around
- Home plate = 4/4 (complete circle)
⏰ Innings and Game Fractions
A complete baseball game has 9 innings:
Innings 1-3: 2 + 1 + 0 = 3 total runs in first 1/3
Innings 4-6: 1 + 3 + 2 = 6 total runs in second 1/3
Innings 7-9: 0 + 1 + 2 = 3 total runs in final 1/3
Total Game: 3 + 6 + 3 = 12 runs ⚾
Innings 4-6: 1 + 3 + 2 = 6 total runs in second 1/3
Innings 7-9: 0 + 1 + 2 = 3 total runs in final 1/3
Total Game: 3 + 6 + 3 = 12 runs ⚾
🏟️ Fan Attendance Fractions
The stadium holds 2,400 fans total:
- 🔴 Lower deck: 1,200 fans = 1,200/2,400 = 1/2 of stadium
- 🟠 Upper deck: 800 fans = 800/2,400 = 1/3 of stadium
- 🟢 Bleachers: 400 fans = 400/2,400 = 1/6 of stadium
✅ Check Our Work!
1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1 whole stadium! 🎉
🏆 Championship Series Data
🎯 Tournament Progress
Game 1: Won 8-6
• Rangers scored in 5 out of 9 innings = 5/9
• Opponents scored in 3 out of 9 innings = 3/9
• No scoring in 1 out of 9 innings = 1/9
Game 2: Won 12-4
• 1st half (innings 1-4): 8 runs = 8/12 = 2/3 of total runs
• 2nd half (innings 5-9): 4 runs = 4/12 = 1/3 of total runs
• Rangers scored in 5 out of 9 innings = 5/9
• Opponents scored in 3 out of 9 innings = 3/9
• No scoring in 1 out of 9 innings = 1/9
Game 2: Won 12-4
• 1st half (innings 1-4): 8 runs = 8/12 = 2/3 of total runs
• 2nd half (innings 5-9): 4 runs = 4/12 = 1/3 of total runs
🏆 Season Statistics Summary
| Games Played | Wins | Losses | Win Fraction |
|---|---|---|---|
| 24 games | 18 games | 6 games | 18/24 = 3/4 |
The Rangers win 3 out of every 4 games they play! 🎉⚾
🍿 Concession Stand Fractions
Snack Sales During Last Game
Total customers: 480 fans 👥
🌭
Hot Dogs
240/480 = 1/2
🍕
Pizza
120/480 = 1/4
🧀
Nachos
80/480 = 1/6
🍿
Popcorn
40/480 = 1/12
Drink Choices:
- 🥤 Soda: 360 fans = 360/480 = 3/4
- 💧 Water: 120 fans = 120/480 = 1/4
🧠 Think Like a Baseball Statistician!
Challenge Question: In a 9-inning game, the Rangers scored runs in exactly 1/3 of the innings. In how many innings did they score? If they scored 2 runs in each of those innings, what was their total score?
💡 Solution:
• Innings with runs: 1/3 of 9 = 9 ÷ 3 = 3 innings
• Total runs: 3 innings × 2 runs = 6 runs
⚾ Baseball Statistics Math Worksheet ⚾
Name: Date:
🏟️ Baseball Field Fractions
1.
A baseball game has 9 innings. After 3 innings, what fraction of the game is complete?
out of innings =
out of innings =
2.
If a player runs from home plate to 2nd base, what fraction of the diamond have they completed?
2nd base = out of bases =
2nd base = out of bases =
3.
Circle the equivalent fractions:
2nd base position: 2/4 = 1/2 = 4/8 ✓
2nd base position: 2/4 = 1/2 = 4/8 ✓
⚾ Batting Statistics
4.
Emma had 15 at-bats and got 10 hits. What fraction represents her hits?
hits out of at-bats =
hits out of at-bats =
5.
Reduce Emma's fraction from problem 4 to its simplest form:
10/15 =
10/15 =
6.
Compare these batting records. Circle the better hitter:
Player A: 6 hits out of 12 at-bats = 6/12 =
Player B: 4 hits out of 8 at-bats = 4/8 =
Player A: 6 hits out of 12 at-bats = 6/12 =
Player B: 4 hits out of 8 at-bats = 4/8 =
📊 Game Progress Tracking
7.
The Storm Chasers scored runs in 4 out of 9 innings. What fraction of innings did they score in?
/ =
/ =
8.
In the same game, they didn't score in how many innings? Write as a fraction:
/ =
/ =
9.
Add the fractions from problems 7 and 8. What do you get?
+ =
What does this tell you about the whole game?
+ =
What does this tell you about the whole game?
🎯 Pitching Performance
10.
Pitcher Alex threw 36 pitches. 24 were strikes and 12 were balls. Complete the fractions:
Strikes: out of =
Balls: out of =
Strikes: out of =
Balls: out of =
11.
Reduce Alex's strike fraction to its simplest form:
24/36 =
24/36 =
12.
If Alex maintains the same ratio, how many strikes would he throw out of 48 total pitches?
If 24/36 = /48, then strikes
If 24/36 = /48, then strikes
📈 Season Statistics
13.
The Lightning Bolts played 20 games and won 15. What fraction represents their wins?
wins / games =
wins / games =
14.
What fraction represents their losses?
losses / games =
losses / games =
15.
Which fraction is larger: 15/20 or 3/4? Show your work:
15/20 = 3/4 =
is larger
15/20 = 3/4 =
is larger
🍿 Stadium Snacks
16.
The concession stand sold snacks to 240 fans:
• 120 bought hot dogs 🌭
• 80 bought pizza 🍕
• 40 bought nachos 🧀
Complete these fractions:
Hot dogs: 120/240 =
Pizza: 80/240 =
Nachos: 40/240 =
• 120 bought hot dogs 🌭
• 80 bought pizza 🍕
• 40 bought nachos 🧀
Complete these fractions:
Hot dogs: 120/240 =
Pizza: 80/240 =
Nachos: 40/240 =
17.
Which snack was most popular?
18.
Add all three fractions from problem 16:
+ + =
+ + =
🏆 Championship Challenge
19.
In the championship series, the Eagles scored in exactly 1/3 of their 9 innings. In how many innings did they score?
1/3 of 9 = 9 ÷ 3 = innings
1/3 of 9 = 9 ÷ 3 = innings
20.
If they scored 3 runs in each scoring inning, what was their total score?
innings × 3 runs = total runs
innings × 3 runs = total runs
🧠 Baseball Brain Buster!
21.
FRACTION COMPARISON CHALLENGE:
Order these batting averages from best to worst:
Player 1: 3/5 Player 2: 1/2 Player 3: 7/10 Player 4: 4/5
Convert each to have denominator 10:
Player 1: 3/5 = /10
Player 2: 1/2 = /10
Player 3: 7/10 = /10
Player 4: 4/5 = /10
Order from best to worst: , , ,
Order these batting averages from best to worst:
Player 1: 3/5 Player 2: 1/2 Player 3: 7/10 Player 4: 4/5
Convert each to have denominator 10:
Player 1: 3/5 = /10
Player 2: 1/2 = /10
Player 3: 7/10 = /10
Player 4: 4/5 = /10
Order from best to worst: , , ,
22.
BONUS CHALLENGE: A baseball team's wins can be written as 2/3 of their total games. If they won 16 games, how many total games did they play?
If 2/3 = 16 games, then 1/3 = games
Total games = 3/3 = games
If 2/3 = 16 games, then 1/3 = games
Total games = 3/3 = games
⭐ Design Your Dream Baseball Card!
Draw yourself playing baseball! ⚾
🏟️ SEASON STATS:
At-bats: Hits:
Batting: /
Games: Wins:
Winning: /
Special skill:
🎉 Congratulations!
You've completed the Baseball Statistics Fractions adventure! Remember: Baseball is a game of fractions, from batting averages to innings completed. Every number tells the story of America's favorite pastime! ⚾🏆