Llama Logistics Slides Llama Logistics
Mastering Elapsed Time on the Trek
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Meet the Guides
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Pacho
Pacho loves long mountain hikes and eating fresh alfalfa snacks.
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Luna
Luna is the fastest llama on the farm and never misses a scheduled nap.
Help them stay on schedule!
What is Elapsed Time?
1
Start Time
When the activity begins.
2
End Time
When the activity finishes.
3
Duration (Elapsed Time)
The total amount of time that has passed.
Finding the End Time
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Scenario: Grooming Pacho
Start: 9:15 AM
Duration: 45 minutes
End Time: ?
Method:
Add the minutes to the start time.
9:15 + 45 min = 10:00 AM
Finding the Start Time
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Scenario: Snack Time for Luna
End: 2:30 PM
Duration: 1 hour 15 minutes
Start Time: ?
Method:
Work backward from the end time.
2:30 - 1 hr = 1:30
Finding the Duration
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Scenario: Cactus Canyon Trek
Start: 10:45 AM
End: 1:15 PM
Duration: ?
Method:
Count up to the next hour, then add the rest.
10:45 to 11:00 = 15 min
11:00 to 1:00 = 2 hours
1:00 to 1:15 = 15 min
Total: 2 hours 30 mins
Quick Challenge!
Llama yoga starts at 4:50 PM and ends at 5:25 PM.
How long is the class?
(Think: How many minutes until 5:00? Then add the rest!)
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Ready for the Trek?
It's time to open your Trek Tracker and help Pacho and Luna manage their schedules!
Trek Tracker Worksheet Trek Tracker Worksheet 🦙
Helping Pacho and Luna stay on schedule!
Name:
Date:
1
Start Time
2
End Time
3
Elapsed Time (Duration)
Part 1: How Long?
1. Pacho's Morning Alfalfa Feast
Pacho started eating at 7:15 AM and finished his breakfast at 7:55 AM.
Duration:
2. The Sunny Meadow Hike
Luna led a group of hikers into the meadow. They left the barn at 10:30 AM and returned at 12:15 PM.
Duration:
Part 2: When Does it End?
3. Luna's Afternoon Nap
Luna settled down for her nap at 1:10 PM. She always sleeps for exactly 1 hour and 20 minutes.
End Time:
4. Llama Haircut Day
Pacho is being groomed today. His appointment starts at 10:45 AM and it takes 55 minutes.
End Time:
Part 3: When Did it Start?
5. Trail Cleaning
The llama guides finished clearing the rocks off the North Trail at 11:30 AM. It took them 45 minutes.
Start Time:
6. Salt Lick Time
Luna finished her salt lick session at 3:20 PM. If she spent 1 hour and 15 minutes there, when did she start?
Start Time:
The Grand Trek Challenge
Pacho is leading a three-part journey today. Follow the trail and find the missing times!
Leg 1: Base Camp to Peak
Start: 8:00 AM
Duration
2 Hours 15 Mins
Arrival Time
Break: 30 Minutes
Leg 2: Peak to Spring
Starts after break
Arrival Time
12:30 PM
Duration
Trek Tracker Answer Key Trek Tracker Answer Key 🦙
Teacher Reference & Grading Guide
Teacher Only
Part 1: Finding Duration
1. Pacho's Morning Alfalfa Feast
40 minutes
2. The Sunny Meadow Hike
1 hour 45 minutes
10:30 to 12:00 (1:30) + 15 min
Part 2: Finding End Time
3. Luna's Afternoon Nap
2:30 PM
4. Llama Haircut Day
11:40 AM
10:45 + 15 min (11:00) + 40 min
Part 3: Finding Start Time
5. Trail Cleaning
10:45 AM
6. Salt Lick Time
2:05 PM
3:20 - 1 hr (2:20) - 15 min
Grand Trek Challenge Answers
Leg 1 Arrival
10:15 AM
8:00 AM + 2 hours 15 mins
Leg 2 Start (After Break)
10:45 AM
10:15 AM + 30 min break
Final Duration (Leg 2)
1 Hour 45 Mins
Calculated from 10:45 AM start to 12:30 PM arrival.
Common Misconception
Students often treat time like base-10 subtraction (e.g., thinking 1:15 minus 20 minutes is 0:95). Encourage using number lines or "counting up" to the next hour to avoid these errors.
The "Mountain" Method
For multi-hour jumps, have students draw large 'mountains' for hours, medium 'hills' for 5-10 minutes, and small 'stones' for 1 minute intervals.
