Lesson 2

Measure with Links

Est. Class Sessions: 1–2

Developing the Lesson

Length is one dimension of a two- or three-dimensional figure. For example, one side of a rectangle is the length and an adjacent side is the width. Sometimes there is confusion as to which dimension of a rectangle is to be considered the length. For purposes of this activity, identify the longer side as the length.

Prepare to Measure with Links. Student pairs build 45-link chains, with groups of five in alternating colors. Have them compare chains with one another to make sure they are the correct length.

Have a student skip count using the highlighted numbers on the class number line. Then have a student skip count using the same numbers on a 45-link chain. Suggest additional numbers that require skip counting by fives or tens and counting leftovers by ones.

Select an object in the classroom such as your desk, the classroom calendar, or a window to measure with a chain of links. Guide a discussion about good ways to measure objects using a chain of connecting links.

  • I wonder how many links long my desk is. What do you estimate the length of this long side to be? (Answers will vary.)
  • Would this be a good way to measure the length of this side? (No, you have to stretch the chain.)
  • I stretched the chain so it is straight. Is this better? (It's better, but put it by the edge and keep it straight.)
  • Where would be a good place to start? (Start at the corner to get the whole side.)
  • Now that chain is in place, how do I find the measurement quickly and easily? (Each color is
    5 links; count by fives using the colors on the chain. Count the leftovers by ones.)
  • Should I include the links hanging down from the desk past the corner? (No, those are the extras.)
  • My measurement is 25 with a part of this link left over. What is the total? (Possible responses: It is closer to 26 links. It is between 25 and 26 links.)
  • I'm glad you used good Math Practices and included the word "links" as your label in your answer. If I used large paper clips would I still say 25 links? (No, you would say 25 paper clips.)

Guide the discussion to focus on these central ideas:

  • Measurements should include the number of units and the unit (e.g., 23 links).
  • Chains should be placed, as nearly as possible, in a straight line.
  • Counting by fives and leftovers by ones is more convenient than counting all the links by ones.
  • Sometimes a measurement will include a part of a link. Let students decide how they want to report these measurements. For example, some students might use "between 20 and 21 links"; others may decide an object is "closer to 21 links."

Measure Classroom Objects. Ask student pairs to find the height of their desks using the chain of links they assembled and record the measurements in Question 1 on the Measuring Our World pages. Ask pairs to compare their measurements. If measurements vary, ask if any difficulties in measuring occurred and how these difficulties could have affected their results. Students can measure the length in a similar fashion.

Ask students to compare their measurements to Maria's measurements in Questions 1–2 on the Measuring Our World pages.

  • Is your desk taller than Maria's? How much taller? How did you find your answer?
  • Is your desk longer? How much longer is your desk than Maria's? What strategy did you use to find your answer?

Discuss the strategies students used. For example, students may count up from the lower number to the higher number. Incorporate comparison language such as shorter, shortest, longer, longest, taller, and tallest into the discussion. Similar questions involving comparisons will be explored in Lesson 3 Rolling Along with Links.

Question 3 introduces the word perimeter. See Content Note. Demonstrate how to find the perimeter of a large book. Then have students find the perimeter of their Student Activity Book. Encourage students to compare their measurements and discuss their results.

Encourage pairs to assign roles to one another. One person can be the "counter" and the other can be the "checker." Each student should record the measurement on his or her
own page.

Save the 45-link chains for use in Lesson 3 Rolling Along with Links.

Perimeter is a concept that many students already understand. It is not important at this time that students are able to define or remember the word perimeter. However, it is a good practice to use new vocabulary in appropriate contexts many times before children are expected to use and know the words. This is especially true of words in mathematics.

In this situation, the idea is that length does not have to go in a "line" or in segments only; it can go around something such as a desktop.

Play Could Be or Crazy. To provide practice with estimating length, tell students that you will name an object and its possible length. Explain the two categories and tell students they need to decide if the given measurement is a reasonable one (could be) or if it is highly unlikely (crazy). One method to provide practice for all students simultaneously is to have students decide silently and give a thumbs-up if they think the measurement "could be" or a thumbs-down if they think it is "crazy."

  • A first-grader is 2 links tall. (crazy)
  • An adult's arm is 50 links long. (crazy)
  • My finger is 2 links long. (could be)
  • The bedroom is 250 links long. (could be)
  • A house is 15 links long. (crazy)
  • I am 150 links tall. (crazy)
  • A glue bottle is 3 links long. (could be)

Provide time for student pairs to complete Check-In: Questions 4–9 in the Measuring Ourselves section in the Student Activity Book. Observe students as they work. Each student will help his or her partner complete measurements but should record his or her own measurements.

Observe students as they complete Check-In: Questions 4–9 in the Measuring Ourselves section of The Measuring Our World pages to assess students' abilities to represent and identify quantities using connecting links [E1]; measure length using nonstandard units [E9]; compare and order lengths [E5]; find a strategy [MPE2]; show work [MPE5]; and use labels to identify units of measure [MPE6].

To provide targeted practice with measuring, place connecting links and an assortment of objects in a center for students to measure with nonstandard units. Ask students to measure the objects' lengths using links and to find objects that are about
5 links long or 15 links long as in DPP item K Find an Object: Links and item L Find Two Objects: Links.

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