Percent and Scaling

Lesson 15

Math

Unit 5

7th Grade

Lesson 15 of 19

Objective


Use scales in maps to find actual distances between locations.

Common Core Standards


Core Standards

  • 7.G.A.1 — Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
  • 7.RP.A.3 — Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Foundational Standards

  • 7.RP.A.2

Criteria for Success


  1. Interpret a map scale in a map and understand how the scale changes as you zoom in and out.
  2. Understand how to use a scale in a map.
  3. Use a ruler to determine a ratio for a map scale, and use it to find actual distances on the map (MP.5). 

Tips for Teachers


Lesson Materials

  • String (1 per student) — A different flexible measuring tool also works here.
  • Ruler (1 per student)
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Anchor Problems


Problem 1

The images below are maps with different scales. What do you notice? What do you wonder?

          

Guiding Questions

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References

Photo: Example for the Definition of Scale (Math Dictionary)

Problem 2

The map below shows Boston Common and Boston Public Garden. Perla walked around the outside perimeter of the Common and the Public Garden. About how far did she walk? 

Guiding Questions

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References

Google Maps Map: Boston Public Garden

Map data ©Google. Accessed Dec. 27, 2017, 12:32 p.m..

Problem 3

On the map below, $${{1\over4}}$$ inch represents one mile. Candler, Canton, and Oteen are three cities on the map.

a.   If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

b.   If Candler and Oteen are $${3 {1\over2}}$$ inches apart on the map, what is the actual distance between Candler and Oteen in miles?

Guiding Questions

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References

Illustrative Mathematics Map Distance

Map Distance, accessed on Dec. 27, 2017, 12:47 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Problem Set

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Target Task


The image below is a map of the park around Cruz Playground in Philadelphia, Pennsylvania. Use a ruler and the scale provided to find the actual distance around the park.

References

Google Maps Map: Cruz Playground

Map data ©Google. Accessed Dec. 27, 2017, 12:54 p.m..

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Refer to the extension activity in the notes of Anchor Problem 2.
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Lesson 14

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Lesson 16

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Percent, Part, and Whole

Topic B: Percent Increase and Decrease

Topic C: Percent Applications

Topic D: Scale Drawings

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