Lesson 4

Measure with Unusual Units

Est. Class Sessions: 3

Developing the Lesson

Part 3: Measuring Distance

Use Foot Lengths. Students will now use their foot lengths to find the distance between two objects in the classroom.

  • What unit of measure should we use to measure the distance between my desk and the door? Paper clips? Pennies? Pencils? Your foot length?
  • Why is a foot length better for this measurement than paper clips or pennies? (Answers will vary. Possible response: You do not have to use as many foot lengths as you do small pennies or paper clips. It is easier to keep track of a smaller number of foot lengths.)

Demonstrate how to measure the distance from your desk to the door by walking in a zig-zag fashion, leaving gaps between your heel and toe.

  • Is this a good way to measure? What could I do to take better measurements? (Possible Responses: Walk in a straight line; have your feet touch heel-to-toe with no space in between.)

Refer again to the Measuring Advice chart prepared and displayed in Lesson 2. Review good measuring techniques using a foot length as a measuring unit. Have the students do the following activity:

  • Use a piece of masking tape or chalk to mark a straight path from your desk to the door.
  • Demonstrate walking heel-to-toe as students count the steps. Be sure to emphasize the first step as students may ignore that step when counting.
  • Have a volunteer walk the same distance heel-to-toe with the class counting along.

Record both measurements on a display.

  • Why is my number of foot lengths different from [student name]'s number of foot lengths? (A teacher's foot is longer than a student's foot, so you will need fewer foot lengths to walk the path than you do of shorter foot lengths.)
  • Predict how many foot lengths it would take for a 2-year-old to walk this distance. (It would take a lot more, maybe twice as many as a first-grader and three times as many as a teacher.)

Distribute the copies of the Watch Your Step Master you prepared prior to the lesson. See Materials Preparation. Students will measure and record four distances with their foot lengths. Students may do this activity in pairs. However, each student should measure the distances with his or her own feet.

  • What made measuring with your feet easier than measuring with links?
  • What made it harder?
  • Do you think you reached a better (more accurate) answer measuring with feet or with links? Why do you think so?

Walking heel-to-toe may present balance difficulty for some students whose gross motor coordination is still developing. Suggest that these students have their partners hold their hands and walk alongside them.

Compare and Order Foot Lengths. Choose one of the distances that students measured. Distribute one self-adhesive note or a small scrap of paper to each student. Ask students to write on the paper the number of their foot lengths it took to measure that distance.

With paper in hand, have students line up in order of their foot size. They can compare their feet in a manner similar to that of a Bubble Sort done in Unit 1 Lesson 5, or in a less formal way. Encourage students to use comparative language when comparing and ordering the lengths of their feet. For example, "Is your foot shorter than her foot?" and "My foot is longer than your foot."

After sorting, the student with the longest foot will be at one end of the line and the student with the shortest foot will be at the other end of the line. Help students to see that the measure of length is dependent on the size of the unit of measure, and to recognize the inverse relationship between the size of the measuring unit (their feet) and the total number of units used. The shorter the unit, the greater the number that will result in measuring. In other words, the shorter the child's foot, the more of them it will take to measure the distance. This can be demonstrated by having students read their measurements while lined up in order of foot length.

  • Starting with [student with the shortest foot size], read your measurements aloud.
  • Why are the numbers different? (The foot lengths, the units of measure, are different sizes.)
  • Who has the largest number of foot lengths for their measurement?
  • Who has the shortest foot size?
  • Who has the longest foot size?
  • What happened to the number of units when a foot was shorter? longer? (The number of units was bigger when the foot was shorter. The number of units was smaller when the foot was longer.)
  • Look at my feet. Where would I stand in this line?
  • Predict how many of my foot lengths it would take to measure this distance.
  • How did you make your prediction? (Possible response: I thought about where you were in line and thought about your neighbors' measurements. I predicted your number of foot lengths would be close to theirs.)

Measure the distance using your own foot length and share the number with the class.

Assign the Stepping Out with My Family Homework Master. Suggest to students that when doing the homework, they try to predict how many foot lengths their family members will take for each measurement.

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