Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 18

Percent and Scaling

Lesson 18

Math

Unit 5

7th Grade

Lesson 18 of 19

Objective

Draw scale drawings at different scales.

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. Understand what happens to an image as the scale increases or decreases. 
  2. Understand that the actual measurements of a figure do not change, even as the scale and image of the scale drawing increase or decrease. 
  3. Redraw a scale drawing using a different scale. 

Tips for Teachers

Lesson Materials

  • Ruler (1 per student)
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Anchor Problems

25-30 minutes

Problem 1

The same image of a cat is shown at three different zoom levels on a computer. 

What do you notice about what happens to the scale as you zoom in and out on the image? 

Guiding Questions

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Student Response

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Problem 2

Your computer shows you a map of Washington Park in Eugene, Oregon. The scale in the bottom right corner of the map tells us that the length of the bar represents 200 feet on the map.

Clicking a resizing button on the computer screen will result in an image of Washington Park, where the exact same-sized bar now represents 150 feet.

a.   Do you think the size of Washington Park under the 150 ft. scale will appear smaller or larger than it was under the 200 ft. scale?

b.   Draw an accurate picture/map of Washington Park under this new 150 ft. scale. Use the handout.

c.   Was your guess in part (a) correct? Can you explain why the size of the map changed as it did?

Guiding Questions

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Student Response

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References

Illustrative Mathematics Rescaling Washington Park

Rescaling Washington Park, accessed on Dec. 27, 2017, 4:03 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

A toddler indoor basketball hoop is advertised in a magazine. The image of the basketball hoop uses a scale of 1 inch to $${{1\over2}}$$ foot.

Draw another scale image of the basketball hoop using a scale of 1 inch to 2 feet. Label the dimensions of your image.

 

 

 

 

 

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.

Next

Create a scale floor plan (optional).

Lesson 19
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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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