Lesson 3

Measure with Standard Units: Long Lengths

Est. Class Sessions: 1–2

Developing the Lesson

Part 1: Measuring with Feet and Yards

Measure in Feet. Show students the 5-meter line you prepared, Line C. Remind students that they measured the length of this line in footprints in Lesson 1.

  • How many footprints long is this line?
  • How many Apatosaurus footprints is the length of the line? Do you think it will be more or less than the number of children's footprints? Why? (less; Apatosaurus footprints are larger, so we will need less of them to measure the line.)

Ask a student to measure the line with their footprints and then use the Apatosaurus footprint from Lesson 1 to measure the length of the line.

  • How many footprints long is the line? (Possible response: It depends on the unit size. Line C is about 25 student footprints but about 5 Apatosaurus footprints.)
  • Do you think there is a standard unit for a foot? (Possible response: Yes, I have heard about feet. Sometimes my height is measured in feet.)

Show students the 12-inch ruler. Tell students that the ruler, or 12 inches, is 1 foot.

  • Is your footprint longer or shorter than 1 foot? (Possible response: shorter)
  • Is one foot longer or shorter than Line C? (shorter)
  • How could you use the ruler to measure the line? (Possible response: Use two rulers like we did with our footprints and palms.)

Ask two students to demonstrate how to measure the length of Line C using two 12-inch, or 1-foot, rulers.

  • Did you reach the end of the line?
  • Is the line closer to 16 feet or 17 feet?
  • How did you decide?
  • What advice from the Measurement Advice chart did you use? (Possible responses: Keep the units in a line, without gaps or overlaps; count the units starting from the end of the line and stop when you get to the other end.)

Display the table on the Going the Distance: Feet and Yards pages from the Student Activity Book. Show students the six lines you prepared and how the labels correspond to the lines listed in the table. Tell students they will work with a partner to measure 2 of these lines in feet. They should measure to the nearest whole unit. Provide each student with a 12-inch (or 1-foot) ruler and assign each pair a set of lines to measure. Ask students to record their measurements in the table in Question 1. See Figure 3.

  • I see [student name] measured [Line A] to be [3 feet]. Who else measured [Line A]?
  • Did you get the same measurement for [Line A]?
  • How did you decide if the line was closer to [3 feet] or [4 feet]? (Possible response: 4 feet is way too much. The line is just a little longer than 3 feet, not a lot longer.)
  • Did everyone who measured [Line D] get the same measurement? (Possible response: All the measurements should be about the same since the units are all the same size. The only reason they will be different is if we estimate the "leftover" differently.) [See Content Note.]

Once the display table is complete, ask students to record the measurements they are missing on their copy of the table on the Going the Distance: Feet and Yards page.

Students need experience with units before they can estimate and reason about the size of a unit. Focus students' attention on the size of the 1-foot ruler rather than the 12 inches on the foot ruler.

Whether a student should round up or round down to the nearest whole unit is dependent on the situation. Since students are measuring for less-than-authentic reasons, they can decide to round up to the next whole unit or down to the previous whole unit. Some students may start to express a measurement as parts of a unit (e.g., 312 feet). Students should be encouraged to express and justify their more accurate measurements but then record their measurements as whole units so comparisons can be made easily.

Measure in Yards. Display a yardstick and tell students that the unit is called a yard.

  • You are going to measure the same lines with this unit. Is the number in your measurement going to be larger or smaller than your measurement in feet? (smaller)
  • Why? (Possible response: The unit is larger.)
  • Is [Line C] longer or shorter than the unit I am showing you? (Possible response: The line is longer.)
  • How are you going to measure [Line C] with this unit? (Possible response: Work with a partner and "leap frog" one unit over the other.)

If students will be using modified metersticks as yardsticks, be sure to show them how to line up the units so there are no gaps. See Figure 4.

Ask students to choose two lines to measure to the nearest yard. Each student group will need two yardsticks. Students should record their measurements on the table in the Going the Distance: Feet and Yards page. See Figure 5.

  • Did you reach the end of the line?
  • Is the line closer to [5 yards] or [4 yards]?
  • How did you decide?
  • What advice from the Measurement Advice chart did you use? (Possible response: Keep the units in a line without gaps or overlaps; count the units starting from the end of the line and stop when you get to the other end.)

Ask some students to share their measurements by recording them on the display of the table.

  • I see [student name] measured [Line D] to be [4 yards]. Who else measured [Line D]?
  • Did you get the same measurement for [Line D]?
  • How did you decide if the line was closer to [4 yards] or [5 yards]? (Possible response: 5 yards was too much. The line is closer to 4 yards.)
  • Did everyone that measured [Line D] get the same measurement? (Possible response: All the measurements should be about the same since the units are all the same size. The only reason they will be different is if we estimate the "leftover" differently.)

Once the display table is complete, ask students to record the measurements they are missing on their copy of the table on the Going the Distance: Feet and Yards page.

Instruct students to complete Questions 2–6 on the Going the Distance: Feet and Yards page.

  • Show how you solved Question [2].
  • I think that Line A and B together will be 6 feet. Do you think I am correct? Why or why not? (No; Line A is 3 feet and Line B is 10 feet, so together they are 13 feet.)
  • What advice would you give me? (Possible response: You added feet and yards and that's not correct. The units have to be the same when putting the lengths together.)
  • Does it take more feet or more yards to measure a line? Why? (feet because the unit is smaller)
  • Did you like using feet or yards better when you measured these lines? Why? (Possible responses: I like yards because they are larger and the measurement is faster; I like feet because I don't have to deal with parts of a unit as much.)
  • Which unit do you think you would use to measure the width of your desk? (Possible response: I would use inches, feet, or centimeters.)
  • Why? (Possible response: Yards are too big.)

Discuss the statements in Questions 5–6.

  • Why is this statement "crazy"?
  • Why is this statement a "could be"?
  • How can you change the statement so it "could be"?
  • How can both Levi and Jessie be correct? (3 feet and 1 yard are the same distance. They just measured the distance in different units.)
  • What unit do you think Josh should use in Question 6? Why? (Possible response: feet or yards; inches are small and would take a lot of time to count. Yards or feet are larger so there are not so many to count.)
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Measurement Advice chart from Lesson 2
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Measuring the lines in feet
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Use a meterstick to show a yard and measure more than one yard
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Measuring the lines in yards
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