Lesson 4

Distance vs. Time

Est. Class Sessions: 4

Developing the Lesson

Part 1. Define the Variables and Draw the Picture

Define Speed. Read and discuss Questions 1–2 on the Distance vs. Time pages in the Student Guide. These questions provide the context and motivating questions for the lab. They ask students to estimate how far they can walk in one hour and how long it takes them to walk a mile.

Question 3 asks students what they will need to measure during the lab to answer the questions. To help them answer this question, they can read and discuss the definition of speed and the description of the experiment.

Students are probably familiar with the concept of speed at some level, but the idea of measuring speed as a quantity may be less familiar.

  • What does it mean for something to move with a lot of speed? (Students may respond with phrases such as, “It moves fast,” or “It gets from one place to another quickly.”)
  • How can you tell that one car is moving faster than another? (Students may respond that the faster car might pass the slower car, or that the faster car gets to a destination first. Elicit the idea that the faster car takes less time to travel the same distance as the slower car.)
  • What are some ways to measure speed? (Reading the speedometer on a car or bicycle, using a radar gun, or using a watch to time how long it takes to travel a known distance.)
  • When a car speedometer reads 55 mph, what does that mean? (For every hour moving at that speed, the car travels 55 miles.)

Speed is defined as the ratio of the distance moved to the time taken. In the experiment, students measure the time it takes for a fifth-grader to walk three given distances and use the data to find the walker's speed.

Draw the Picture. The directions in the Student Guide tell students to measure out a track that is 12 yards long and to mark distances on the track that are 6, 9, and 12 yards from the starting line. See the drawing in the Student Guide. These distances are the minimum distances students should use. If the distances are shorter, they probably cannot stop the watches fast enough to collect accurate data. However, if you can conduct the lab outside on a playground, in a gym, or in a hallway, the distances can be longer. Encourage students to choose values that are all multiples of one number.

For example, 6, 9, and 12 yards are all multiples of 3, so students can more readily see patterns in the data table. Question 4 asks students to draw a picture of the setup. This is especially important if you choose to use distances for the lab that are different from those in the drawing. Remind students to clearly show the variables they will study in their pictures.

One student in each group is designated the “walker.” This student begins walking at a steady rate several paces behind the starting line. When the walker crosses the starting line, he or she says, “Go,” and timers stationed at each distance marked on the track start their stopwatches. When the walker crosses each mark, the timer at that distance stops his or her watch. The walker should continue walking at the same pace beyond the last mark.

  • What variables will you measure in the lab (Question 5A)? (time and distance)
  • What symbols will you use to stand for distance and time? (D and T)
  • What variables should be held fixed (Question 5B)? (The walker should walk at the same pace throughout the experiment, and the timers should stop their watches when the walker's front foot touches or crosses their marks.)
  • Why should the walker begin walking several paces behind the starting line and continue walking several paces beyond the 12-yard mark? (He or she will be walking at a steady pace when the starting line is reached and through the entire track.)
  • Why is it a good idea to record the results of three trials and average the results? (Averaging the results of three trials reduces the effects of experimental error. If the time for one trial is not close to the other two trials, then the trial should be repeated.)

To encourage class participation, ask students to discuss their thinking with a partner or small group before they report their answers to the whole class.

If all the groups cannot collect data at one time, students who are not collecting data can work on problems in the Homework section, DPP items, or Home Practice.

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