Lesson 1

Measure with Nonstandard Units

Est. Class Sessions: 2–3

Developing the Lesson

Part 2: Measuring with Footprints

Measure with My Footprints. Show students the tape lines you prepared.

  • Who would like to show how to measure the length of Line A?
  • What unit are you going to use? (Possible response: palms, gorilla palms, footprints)
  • Is there another unit that might be used? (Possible response: footprints)
  • Do you think it makes sense to measure the length of Line A with fingerprints? (Possible response: No, the unit is too small for this long line.)
  • Do you think a footprint is a good unit to use? (Possible response: Yes. I think it is ok. A larger unit might work too. A smaller unit might be too small.)
  • If I measure Line A with my footprints, and you measure with your footprints, will we get the same answers? Why or why not? (Possible response: No, our answers will be different because our footprints are different sizes.)

Ask a few students to demonstrate how to measure Line A with their footprints.

  • Did we all get the same measurement? (no) Why? (Because all of our units are a little bit different in length.)

Direct students' attention to the display of the Measuring Advice chart.

  • Is there any advice that needs to be changed or added? (Possible response: Place my feet heel to toe rather than side by side; keep the units in a straight line.)

Direct students' attention to the Measure with Footprints pages in the Student Activity Book. Orient students to the location of each line listed. Once ready, ask students to measure the length of each line with their footprints.

  • What changes do you have to make to measure the zigzag line, Line F?
  • Is the line you're measuring closer to [9] footprints or [10] footprints?
  • Have you thought of any new measuring advice?
  • What unit are you measuring in? (footprints)

Use Question 1 on the Measure with Footprints page in the Student Activity Book to assess students' abilities to measure a length using nonstandard units (e.g., footprints) [E6].

Measure with Apatosaurus Footprints. Show students one of the Apatosaurus footprints you prepared.

  • If a dinosaur came into our classroom and measured the length of Line A, what would be different? (Possible response: It would take fewer Apatosaurus footprints to walk Line A.)
  • What would be the same? (The distance does not change, just the measurement of that length.)

Give each student group two Apatosaurus footprints to measure the length of each line listed on the Measure with Footprints page.

Compare Footprint Measurements. Once students have finished collecting their measurements, ask them to work with a partner to discuss and complete Questions 2–4.

  • Did you all get the same answer for Question 2? (Possible response: No, I compared the lengths in my footprints and they compared using Apatosaurus footprints.)
  • Is Roberto's measurement in Question 4B a "could be" or a "crazy?" (Possible response: crazy)
  • Why? (Apatosaurus footprints are big and ten of those would be taller than the height of the room.)
  • Have groups take turns using pairs of the Apatosaurus footprint rather than making a pair for each group of students.
  • Ask each group to measure the length of two lines with footprints rather than measuring all the lines. Collect the measurements for each line on a display of the Measure with Footprints page. Students can then compare their measurements.
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