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The purpose of this Warm-up is to elicit the idea that many different questions could be asked about this situation involving time, which will be useful when students solve problems in a later activity.
What do you notice? What do you wonder?
Han ate his dinner before he caught a bus.
When he got off the bus, he had to hurry to get to band practice on time.
The purpose of this activity is for students to solve problems involving addition and subtraction of time intervals when given times on a clock. Students may choose to show or explain their reasoning in any way, but the clocks are given to encourage use of that representation. Monitor for different ways that students represent their thinking, particularly differences in strategies when the problem involves time crossing the hour mark versus when it doesn’t.
For how many minutes was Han on the bus? Explain or show your reasoning.
The time Han got on the bus:
The time Han got off the bus:
Draw the minute hand on the first clock to show that Elena waited for the bus for 32 minutes.
The time Elena started waiting:
The time Elena got on the bus:
The purpose of this activity is for students to solve problems involving addition and subtraction of time intervals in minutes. Students fill a name and an activity into each problem before they solve it using any representation that makes sense to them. The Activity Synthesis draws attention to the different types of problems that have been solved. Students need to read and think carefully about the given information and the unknown, which differ in most of the situations, in order to decide which calculations to perform (MP2).
For each problem, write a name and an activity in the blanks. Then solve the problem. Show your thinking. Organize your work so it can be followed by others.
at 8:25 a.m. and finished at 8:50 a.m. How much time was spent doing that activity?
at 5:38 p.m., after spending 20 minutes. What was the start time?
at 10:45 a.m. and finished at 11:18 a.m. How much time was spent on that activity?
at 3:30 p.m. and took 45 minutes to complete it. What was the finish time?
“Today we solved a variety of problems involving time, including finding how much time has passed and when something started or ended.”
“What are some strategies that you found helpful for solving these problems?” (I can use the same counting strategies that I used for adding and subtracting numbers. I can count by 5, 10, 15, or other numbers. I can use a clock, a number line, or a table to help keep track of the counting. I can also write equations or use words.)
We learned to tell and write time to the nearest minute. We solved addition and subtraction problems about time.
the time Han got on the bus:
the time Han got off the bus:
Here is 1 way to find out how much time Han spent on the bus:
Han spent 55 minutes on the bus.