Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 14

Percent and Scaling

Lesson 14

Math

Unit 5

7th Grade

Lesson 14 of 19

Objective

Use a scale to determine actual measurements.

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 scale in a scale drawing.
  2. Use a scale in a scale drawing to find actual measurements using strategies such as a table, equation, or proportion. 
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Anchor Problems

25-30 minutes

Problem 1

Vincent proposes an idea to the student government at his school to install a basketball hoop along with a court, as shown in the diagram below. The school administration tells Vincent that in order for his plan to be approved, it must fit in the empty lot on the school property. The empty lot measures 25 feet by 75 feet.

Will the lot be big enough for the court Vincent planned? Justify your answer. 

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 7 Mathematics > Module 1 > Topic D > Lesson 18 — Example 1

Grade 7 Mathematics > Module 1 > Topic D > Lesson 18 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

A projector is connected to your computer and projects onto a large wall. The projector enlarges what is on your computer screen by a scale factor of 325%. An image on your computer is $${8 {1\over2}}$$ inches long. What is the length of the projected image on your wall? 

Guiding Questions

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Student Response

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Problem 3

Sherry designed her garden as shown below in the diagram. 

a.   After designing the garden, Sherry decided to build the garden 75% of the size represented in the diagram. What will be the outside dimensions of the actual garden?

b.   If Sherry plans to use a wire fence to go around the garden and to divide each section of the garden, how much fence does she need? 

c.   The fence costs $3.25 per foot plus 7% sales tax. What is the total cost of the fence? 

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 7 Mathematics > Module 4 > Topic C > Lesson 14 — Example 2

Grade 7 Mathematics > Module 4 > Topic C > Lesson 14 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

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

A company sells rugs online on their website. The image of one rug on the website measures $$2\frac{1}{2}"$$ by $$3\frac{1}{4}"$$. The scale for the image that corresponds to the actual size of the rug is $$1$$ inch: $$2\frac{1}{2}$$ feet. Find the actual measurements of the rug.

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.

  • Include images of pictures (such as from a catalog or magazine) with a given scale, and ask what the actual measurements are (do not include any area problems); include some percent scales.

Next

Use scales in maps to find actual distances between locations.

Lesson 15
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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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