AKS: 4MA.D.6 measure time and objects that exist in the world to solve real-life, mathematical problems and analyze graphical displays of data to answer relevant questions (4.MDR.6).
Learning Target: I can solve problems involving elapsed time to the nearest minute.
What time does the movie start?
What time does the movie end?
About how long does the movie last?
Make a 4-square page in our math journals to answer Warm-Up questions using SLIDE 101.
We have learned to solve elapsed time problems using clocks and two-column tables.
Today, we will continue solving problems involving elapsed time to the nearest minute where the start and end times are given, but the time change is still being determined.
Listen as I think aloud...
Chloe and her family went camping at Stone Mountain State Park. The chart below shows the times Chloe and her family did activities while camping. What is the total amount of time Chloe and her family went hiking and fishing?
The chart shows when Chloe and her family did activities before and after lunch. First, I need to figure out the time on the clocks showing when they started fishing and when they stopped fishing.
To read the time Chloe and her family started fishing, I will begin by looking at the position of the hour hand. The hour hand is between 8 and 9, so I know the hour is 8. Next, I can count the minutes the minute hand has moved from the 12 on the clock or when it is at the 0-minute mark. I know when the minute hand gets to the 3 on an analog clock, 15 minutes have passed. The minute hand has moved 3 more minutes past the 15-minute mark, for 18 minutes. This means the time is 8:18 AM.
To read the time Chloe and her family ended fishing, I will again look at the hour hand, and I see that the hour hand is between 9 and 10, which means the hour is 9. Next, I will count the minutes the minute hand has moved since it has been 9 o’clock when it was pointing directly at the 12. I can count by five minutes from the 12 until I get to the 7. (count by fives until you get to the seven) The seven on the clock is the 35-minute mark, and the minute hand is one more minute past the 7; so it is 36 minutes after 9 o’clock, or 9:36 AM.
I will show you how to use an open number line to find the duration of the fishing activity. I know the time Chloe and her family started fishing and when they stopped fishing. I am trying to solve for the duration of their fishing activity or how long they went fishing. I know fishing lasted less than two hours because they started fishing at 8:18 AM and ended at 9:36 AM, so I estimate that they fished for over an hour.
An open number line is a great tool for solving elapsed time problems. Since I know the start and the end times, I am solving for the change in time or the duration of the time they went fishing. I will draw an open number line and put the start and end times on the open number line. Next, I will jump forward 1 hour, bringing me to 9:18 AM. Then, I will decompose the 18 minutes into 2 minutes and 16 minutes to make it easier to determine the number of minutes from 9:18 AM to 9:36 AM. Now I can add the hours and minutes together, and I see that Chloe and her family fished for 1 hour and 18 minutes.
Let’s go back and look at the chart to see the start and end times for Chloe and her family's hike. Choe and her family started hiking at 9:52 AM and stopped at 10:46 AM. I will use an open number line to help me solve for the duration of the hike. Again, since I know the start and end times, I am solving for the time change.
Now that I have solved how long Chloe and her family went fishing and hiking, I can add these times together. Some students think you can add hours and minutes just like whole numbers, but this is false. Ten 10s makes one hundred, but 60 minutes makes one hour.
Chloe and her family fished and hiked for 2 hours and 12 minutes.
Now, mathematicians, it’s your turn - Solve this problem with a math partner:
Using the same chart showing Chloe and her family's activities while camping at Stone Mountain State Park, find the total amount of time Chloe’s family spent at the Laser Show.
Common Misconception: Students telling time on analog clocks do not understand how to read time based on where the hour hand is pointing.
Remember: Open number lines and clocks with two-column tables are great tools to organize your math thinking when solving problems involving elapsed time.
Practice in small groups - Complete together BEFORE your assigned rotation:
Tomas’s soccer game lasted from 11:25 AM until 1:12 PM. His sister said his game was not as long as hers, which lasted 1 hour and 45 minutes. Is Tomas’s sister correct?
1. FRECKLE - Complete THREE Freckle Assignments each week. DUE FRIDAY. Your HIGHEST score in Targeted Practice is your weekly math grade - Click HERE for Freckle website
GRADED Targeted Practice - Current skill (5 questions; Score Goal=80% or higher)
Fact Practice - Multiplication Fact Practice
Adaptive Practice - At YOUR level
2. iREADY Math - Complete 30 minutes at your level each week