Sprint Stats Lab Sheet Sprint Stats Lab Sheet
Athletic Analytics • PE/Math Integration
NAME:
DATE:
A
Part A: The 20-Meter Dash
Measure and mark a 20-meter sprint course. Have a partner time you for three trials. Record your data below and calculate your Average Time .
Trial 1
seconds
Trial 2
seconds
Trial 3
seconds
Average Time
seconds
Calculate Your Average Speed
Use the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Speed = 20m ÷ ________ s
Your Speed (m/s)
B
Part B: The 1-Kilometer Challenge
If you could maintain your sprinting speed for an entire kilometer (1,000 meters), how long would it take?
Predicting Your Time
\[ \text{Time} = \text{Distance} \div \text{Speed} \]
1. Set up your calculation:
Time = 1,000m ÷
m/s
2. Show your work here:
Predicted Time:
seconds
?
Reflect & Analyze
In real life, would your 1km time be exactly what you calculated? Why or why not? Consider factors like fatigue and environmental conditions.
Bonus: If a ladybug moves at 3 cm/s, how many seconds would it take to walk 300 cm?
Sprint Stats Slides PE + Math Integration
Sprint
Stats
Calculating Speed & Time
The 20-Meter Warm-up
The Objective
Run your fastest 20-meter dash while a partner records your time.
Gear Check
Stopwatches Ready
Clipboards & Pencils
Athletic Shoes
20m
Measured Distance
Part A: Speed Logic
To find your Average Speed , divide the total distance by your average time.
SPEED
=
Distance
Time
Example: 20m ÷ 4s = 5 m/s
Calculating Time
Video Lesson
Embedded media
SCENARIO 1
The Train Journey
SCENARIO 2
The Skier (23 m/s)
SCENARIO 3
The Ladybug (Unit Swap)
The Time Formula
TIME
=
Distance
Speed
Always check your units! (meters ÷ m/s = seconds)
The 1-Kilometer Challenge
The Mission
Predict how long it would take you to run 1,000 meters at your current top speed.
1
Write down 1,000 as your distance.
2
Divide by your average speed (m/s).
3
Calculate your total seconds!
Prediction Zone
1,000m
÷ [YOUR SPEED]
= [TOTAL SECS]
Debrief & Discussion
Reality Check
Why might your calculated time be different from your actual time running 1km?
Muscle Fatigue
Wind Resistance
Pacing Strategy
Acceleration Time
Great Work,
Math-letes!
Turn in your lab sheets before you leave the field.
Sprint Stats Teacher Guide Teacher Guide
Sprint Stats • Physical Education & Math Integration
5th - 7th Grade
Learning Objective
Students will physically measure distance and time to calculate average speed (m/s) and apply the time formula (\(Time = Distance \div Speed\)) to predict travel time over a long-distance course (1 km).
Materials Needed
Stopwatches (1 per pair)
Measuring Tape (Long)
Cones (to mark 20m)
Lab Sheets & Clipboards
Calculator (Optional)
Slide Deck / Projector
Timeline
10m
Warm-up: 20m Dash
15m
Act A: Speed Calculations
05m
Video Reference
15m
Act B: 1km Prediction
05m
Closure/Discussion
Instructional Procedure
01
Warm-up & Data Collection
Set up 20m sprint lanes. Students work in pairs (Sprinter & Timer). Each student runs three times. Emphasize starting the watch on the move and stopping exactly at the line. Students record data on the Lab Sheet .
02
Calculating Average Speed
Guide students through the average calculation (Sum of trials ÷ 3). Then, use the Speed formula.
Example: A student runs an average of 4 seconds. Speed = 20m / 4s = 5 m/s.
03
Video: Calculating Time
Watch the video. Pay specific attention to the Skier Scenario (1:01) . Discuss how the skier moves at 23 m/s, similar to the speeds they just calculated. Highlight the importance of unit consistency (m and m/s).
04
The 1km Challenge
Students apply the formula: \(Time = 1,000m \div Speed\). This will result in a large number of seconds. For advanced students, challenge them to convert these seconds into minutes and seconds.
Closure Discussion
Question: "Why is our 1km prediction likely 'incorrect' for a real-life race?"
Answer: Sprinting speed cannot be maintained over long distances due to lactic acid buildup and fatigue.
Question: "If we were running a marathon, would we use 1,000 meters or a different distance?"
Answer: Distance would be 42,195 meters.
Key Formulas
Speed
Distance ÷ Time