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This Number Talk encourages students to use what they know about multiples of 100, the relationship between hundreds and thousands, and properties of operations to mentally solve problems. The reasoning students do here will be helpful later in the lesson when students explore the relationship between kilometers and meters, and convert measurements from the former to the latter.
Find the value of each expression mentally.
How Long Is 1 Kilometer Handout (groups of 4)
The purpose of this activity is to build students’ intuition for 1 kilometer. Previously, students used centimeter grid paper and counted 100 units to build a length of 1 meter. Since building a kilometer is impractical, here students relate 1 kilometer to the length of other objects that may be more familiar. For instance, if an Olympic-size pool is 50 meters long, the length of 2 pools is 100 meters and the length of 20 pools is 1,000 meters or 1 kilometer.
The blackline master shows copies of a few objects: a soccer field, the Statue of Liberty, an Olympic-size pool, or a basketball court. Students work with their group to cut out these images and use the copies of each object to reason about the length of 1 kilometer.
There are 1,000 meters in 1 kilometer.
The shaded section of the track is the length of a 100-meter race. How many 100-meter races does it take to travel 1 kilometer?
Your teacher will give you images of something with a length or a height measured in meters.
About how many of the items in the handout are needed to make 1 kilometer? Explain or show how you know.
Work with your group to write a number in the blank so that each statement is true. Decide if your length is “about” or “exactly” 1 kilometer, and circle the correct word.
One kilometer is the length of (about, exactly) __________ soccer fields.
One kilometer is the length of (about, exactly) __________ Statues of Liberty.
One kilometer is the length of (about, exactly) __________ Olympic-size swimming pools.
One kilometer is the length of (about, exactly) __________ basketball courts.
The purpose of this activity is for students to convert measurements from kilometers into meters and to reason the other way around. When the given measurement is a whole number of kilometers, students likely will multiply the whole number by 1,000 to find its equivalent in meters. For kilometer, they likely will reason that half of 1,000 is 500, or that 1,000 divided by 2 is 500. Students are not expected to reason multiplicatively or to know that is 500. The Lesson Synthesis focuses on discussing Andre's reasoning from the task.
MLR7 Compare and Connect. Synthesis: After all strategies have been presented, lead a discussion comparing, contrasting, and connecting the different approaches. Ask students: “What did the strategies have in common?” “How were they different?” and “Why did the different approaches lead to the same outcome?”
Advances: Representing, Conversing
Action and Expression: Internalize Executive Functions. Invite students to choose a starting place that feels most comfortable to them, and to verbalize their strategy before they begin. Students can speak quietly to themselves, or share with you or a partner.
Supports accessibility for: Conceptual Processing, Language, Organization
“Today we learned about the relationship between meters and kilometers.”
“Did you agree with Andre that 100 meters is longer than 10 kilometers? How did you know whether what he said was true?” (No, because a kilometer is 1,000 meters, which is already longer than 100 meters.)
“Why might Andre have believed this was true?” (He compared the numbers 100 and 10 and saw that 100 was larger.)
Highlight explanations that made it clear that we cannot simply compare the number measurements, without considering the units in which they were measured.
| kilometers (km) | meters (m) |
|---|---|
| 1 | 1,000 |
| 5 | |
| 6,000 | |
| 10 | |
| 12,000 | |
| 27 |