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Measurement - Elapsed Time

Grade 4IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Elapsed time is the total duration or 'how long' an event lasts from start to finish. You can visualize this as a linear timeline where the 'Start Time' is a point on the left and the 'End Time' is a point on the right; the length of the line between them represents the time that passed.

Time is measured in specific units where 11 hour equals 6060 minutes and 11 minute equals 6060 seconds. On an analog clock face, which is a circle divided into 1212 large sections for hours and 6060 small tick marks for minutes, the shorthand indicates the hour and the longhand indicates the minutes.

The 'Mountains, Hills, and Rocks' strategy is a visual jumping method used to calculate elapsed time. On a horizontal timeline, draw large 'mountains' to represent jumps of 11 hour, medium 'hills' for jumps of 55 or 1010 minutes, and tiny 'rocks' for 11 minute intervals until you reach the end time.

The 12-hour clock system uses AM (Ante Meridiem) for the first half of the day (midnight to noon) and PM (Post Meridiem) for the second half (noon to midnight). When calculating elapsed time that crosses 12:0012:00 PM, remember that the labels switch from AM to PM, which can be visualized as a sun reaching its highest point and then beginning to set.

A T-Chart is a visual organizational tool used to track time changes. By drawing a large letter 'T', you list the 'Running Time' in the left column and the 'Time Added' in the right column, helping to keep track of increments without losing place when crossing into a new hour.

Regrouping time is necessary because time is based on 6060 rather than 100100. If a calculation results in 6060 or more minutes, you must regroup 6060 minutes into 11 hour. For example, 8585 minutes is visually represented as 11 full hour container and a second container with 2525 minutes left over.

📐Formulae

Elapsed Time=End TimeStart TimeElapsed\ Time = End\ Time - Start\ Time

End Time=Start Time+DurationEnd\ Time = Start\ Time + Duration

Start Time=End TimeDurationStart\ Time = End\ Time - Duration

1 hour=60 minutes1\ hour = 60\ minutes

1 minute=60 seconds1\ minute = 60\ seconds

💡Examples

Problem 1:

A soccer game started at 10:4510:45 AM and ended at 12:2012:20 PM. What was the total elapsed time of the game?

Solution:

Step 1: Start at 10:4510:45 AM and jump 11 hour to reach 11:4511:45 AM. \ Step 2: From 11:4511:45 AM, jump 1515 minutes to reach the whole hour of 12:0012:00 PM. \ Step 3: From 12:0012:00 PM, jump 2020 minutes to reach the end time of 12:2012:20 PM. \ Step 4: Add all the jumps together: 1 hour+15 minutes+20 minutes=1 hour 35 minutes1\ hour + 15\ minutes + 20\ minutes = 1\ hour\ 35\ minutes.

Explanation:

We used the 'Mountains and Hills' method to jump to the nearest hour (12:0012:00 PM) as a benchmark, making the addition of minutes easier.

Problem 2:

A baker needs to bake bread for 11 hour and 4545 minutes. If he puts the bread in the oven at 11:3011:30 AM, what time should he take it out?

Solution:

Step 1: Start at 11:3011:30 AM. \ Step 2: Add the 11 hour 'mountain': 11:3011:30 AM +1 hour=12:30+ 1\ hour = 12:30 PM (Note the change from AM to PM). \ Step 3: Add 3030 minutes to reach the next whole hour: 12:3012:30 PM +30 minutes=1:00+ 30\ minutes = 1:00 PM. \ Step 4: We have 1515 minutes left to add from the original 4545 minutes (4530=1545 - 30 = 15). \ Step 5: 1:001:00 PM +15 minutes=1:15+ 15\ minutes = 1:15 PM.

Explanation:

By adding the hour first and then breaking the minutes into two parts (3030 min and 1515 min), we easily crossed the 12:0012:00 threshold and the 1:001:00 turn of the hour.