Lesson 1

Just Passing Time

Est. Class Sessions: 1

Developing the Lesson

Review Time Measurement. Introduce the lesson by presenting several elapsed-time problems using three different concepts. The first problem gives the start and end time for an event and students are asked to find the elapsed time. Tell students to use their individual clocks to help them solve the following problems. Allow students to use the demonstration clock when sharing their solution strategies.

  • Show 10:18 on your clock.
  • Imagine a school assembly started at 10:18 AM. It ended at 11:00 AM. How long was the assembly? (42 minutes)
  • Explain how you decided. (Possible response: I used my individual clock. I started at 10:18 and moved the minute hand 2 minutes to 10:20. Then I moved the minute hand and counted by 5s: 5 minutes to 10:25, 10 to 10:30, 15 to 10:35, 20 to 10:40, 25 to 10:45, 30 to 10:50, 35 to 10:55, and 40 to 11:00. 40 minutes + 2 minutes is 42 minutes.)

Ask students to use their individual clocks again and to imagine a different scenario. This problem gives the start time and duration of an event and students are asked to find the end time.

  • Show 12:26 on your clock.
  • Imagine that Miguel got on the bus at 12:26 PM. The ride was 42 minutes long. What time did Miguel's ride end? (1:08 PM)
  • Explain how you decided. (Possible response: I used the clock and moved the minute hand four 10-minute intervals from 12:26 to 12:36, 12:46, 12:56, and 1:06. Then I added 2 more minutes to show the 42 minutes that had passed. His ride ended at 1:08.)

Present one more scenario. This problem gives the end time and the duration of the event. Students are asked to find the start time.

  • Show 5:45 on your clock.
  • Imagine that Mark had a 35-minute music lesson that ended at 5:45 PM.
  • Did it start before or after 5:45 PM? (before)
  • What time did it start? (5:10 PM)
  • Explain how you decided. (Possible response: I knew the answer had to be earlier than 5:45. I thought about 30 minutes before 5:45 which is 5:15. Then I went back 5 more minutes to 5:10.)

Solve Elapsed-Time Problems. Direct students' attention to the Just Passing Time pages in the Student Guide. Read the introductory elapsed-time story together as a class and assign Questions 1–2 to student pairs. Students will solve the multistep problem with a partner. Have some students share their solution strategies with the class. Continue reading the vignette where Natasha and Kim discuss the strategies they used to solve the problem. Compare the strategies that students used to those of Natasha and Kim.

  • Was [student name]'s strategy more like Natasha's or Kim's? In what way?

Assign Questions 3–16. Students can work on these problems with a partner or individually. In some of the questions, as in Question 5, the end time and the duration of the event is given and students must find the start time. In Question 8, students are given the start and end time for an event and are asked to find the elapsed time. In Question 12A, the start time and duration of the event are given and students are asked to find the end time. In Check-In: Questions 13–15, students are given the opportunity to solve problems using each of the three contexts.

In Question 16, students are asked to write their own elapsed-time story problems. As students are writing their problems, circulate around the room and select several to be shared with the class.

Use Check-In: Questions 13–15 in the Student Guide and the corresponding Feedback Box in the Teacher Guide to assess students' abilities to solve elapsed-time problems involving time measurements to the nearest minute [E9]; to find a strategy [MPE2]; show work [MPE5]; and use labels [MPE6].

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