CCSS.MATH.CONTENT.3.MD.A.1: Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes.
How long did Sarah read?
Elapsed time: The amount of time that passes between two events
- Identify the start time (2:15 PM)
- Identify the end time (3:45 PM)
- Count the hours and minutes between them
Start: 2:15 PM, End: 3:45 PM
From 2:15 PM to 3:15 PM = 1 hour
From 3:15 PM to 3:45 PM = 30 minutes
Total elapsed time = 1 hour + 30 minutes = 1 hour 30 minutes
Sarah read for 1 hour and 30 minutes
• Subtraction: End time - Start time = Elapsed time
• Regrouping: When minutes go over 60, convert to hours
• Verification: Start time + Elapsed time = End time
How long did Tom work on his homework?
Start: 4:20 PM, End: 5:10 PM
From 4:20 PM to 5:00 PM = 40 minutes
From 5:00 PM to 5:10 PM = 10 minutes
Total elapsed time = 40 minutes + 10 minutes = 50 minutes
Tom worked on his homework for 50 minutes
How long was the movie?
Start: 6:30 PM, End: 8:45 PM
From 6:30 PM to 8:30 PM = 2 hours
From 8:30 PM to 8:45 PM = 15 minutes
Total elapsed time = 2 hours + 15 minutes = 2 hours 15 minutes
The movie was 2 hours and 15 minutes long
CCSS.MATH.CONTENT.3.MD.A.1: Students will solve word problems involving addition and subtraction of time intervals in minutes.
What time does the movie end?
Start: 7:20 PM, Duration: 2 hours 15 minutes
7:20 PM + 2 hours = 9:20 PM
9:20 PM + 15 minutes = 9:35 PM
Check: 9:35 PM - 7:20 PM = 2 hours 15 minutes ✓
The movie ends at 9:35 PM
What time does practice end?
Start: 3:45 PM, Duration: 1 hour 30 minutes
3:45 PM + 1 hour = 4:45 PM
4:45 PM + 30 minutes = 5:15 PM
Check: 5:15 PM - 3:45 PM = 1 hour 30 minutes ✓
Practice ends at 5:15 PM
CCSS.MATH.CONTENT.3.MD.A.1: Students will tell and write time to the nearest minute and measure time intervals in minutes.
What time did the game start?
End: 4:30 PM, Duration: 1 hour 45 minutes
4:30 PM becomes 3:90 PM (borrowing 1 hour = 60 minutes)
Hours: 3 - 1 = 2, Minutes: 90 - 45 = 45
Start time = 2:45 PM
Check: 2:45 PM + 1 hour 45 minutes = 4:30 PM ✓
The game started at 2:45 PM
What time did the concert start?
End: 9:15 PM, Duration: 2 hours 25 minutes
9:15 PM becomes 8:75 PM (borrowing 1 hour = 60 minutes)
Hours: 8 - 2 = 6, Minutes: 75 - 25 = 50
Start time = 6:50 PM
Check: 6:50 PM + 2 hours 25 minutes = 9:15 PM ✓
The concert started at 6:50 PM
This lesson aligns with CCSS.MATH.CONTENT.3.MD.A.1: Students will be able to tell and write time to the nearest minute and measure time intervals in minutes. They will solve word problems involving addition and subtraction of time intervals in minutes.
Elapsed Time: The amount of time that passes between two events
Start Time: When an event begins
End Time: When an event finishes
Duration: Another word for elapsed time
AM: Before noon (ante meridiem)
PM: After noon (post meridiem)
- Counting Method: Count forward from start time to end time
- Subtraction Method: End time - Start time
- Jump Method: Count hours first, then minutes
- Number Line Method: Visual representation of time passage
• Basic Formula: End Time - Start Time = Elapsed Time
• Find End Time: Start Time + Elapsed Time = End Time
• Find Start Time: End Time - Elapsed Time = Start Time
• Borrowing Rule: 1 hour = 60 minutes
• Carrying Rule: 60 minutes = 1 hour
• AM/PM Rule: 12:00 PM = noon, 12:00 AM = midnight
Questions & Answers
Question: I get confused when calculating time that goes past noon or midnight. How do I handle AM and PM?
Answer: Great question! Here's how to handle AM and PM transitions:
- AM: Times from midnight (12:00 AM) to just before noon (11:59 AM)
- PM: Times from noon (12:00 PM) to just before midnight (11:59 PM)
- Breaking at noon/midnight: When calculating across these points, break the calculation into segments
Example: From 11:30 AM to 1:15 PM:
• Segment 1: 11:30 AM to 12:00 PM = 30 minutes
• Segment 2: 12:00 PM to 1:15 PM = 1 hour 15 minutes
• Total: 30 min + 1 hr 15 min = 1 hour 45 minutes
Think of noon as a "wall" that separates AM and PM times.
Question: When I subtract times and the minutes in the start time are bigger than the minutes in the end time, what do I do?
Answer: This is called "borrowing" in time calculation! Here's how to do it:
- When minutes aren't sufficient: Borrow 1 hour from the hours column
- Convert the borrowed hour: 1 hour = 60 minutes
- Add to minutes: Add the 60 minutes to the minutes column
- Subtract 1 from hours: Reduce the hours column by 1
Example: 4:20 PM - 2:45 PM
• Original: 4:20 - 2:45 (can't subtract 45 from 20)
• Borrow: 3:80 - 2:45 (borrowed 1 hour = 60 min, added to 20)
• Calculate: 3-2=1 hour, 80-45=35 minutes
• Answer: 1 hour 35 minutes
This is just like borrowing in regular subtraction, but with 60 instead of 10!
Question: How can I help my child understand elapsed time better? Are there any good visual aids?
Answer: Here are excellent visual strategies for teaching elapsed time:
- Number Line: Draw a line and mark start and end times, then count the jumps
- Open Number Line: Make jumps of 1 hour, then count remaining minutes
- Clock Face: Use a physical or drawn clock to show movement of hands
- T-Chart: Organize start time, end time, and elapsed time in columns
- Real Objects: Use analog clocks, timers, or schedule activities
Practice with real-life examples: "How long until lunch?" or "What time will dinner be ready?" Make it fun by timing activities like brushing teeth or walking to school. The more they connect elapsed time to their daily routine, the more natural it becomes!
Also, encourage them to "count up" from the start time rather than subtracting when they're first learning.