Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 15

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

25-30 minutes

Problem 1

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

          

Guiding Questions

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Student Response

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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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Student Response

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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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Student Response

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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

15-20 minutes

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes

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.

Student Response

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References

Google Maps Map: Cruz Playground

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

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.

Next

Use scales in floor plans to find actual measurements and dimensions.

Lesson 16
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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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