Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 16

Percent and Scaling

Lesson 16

Math

Unit 5

7th Grade

Lesson 16 of 19

Objective

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

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 floor plan to understand what it tells you about the space. 
  2. Use a scale in a floor plan to find actual dimensions. 
  3. Determine a scale in a floor plan and use it to find missing dimensions. 

Tips for Teachers

This lesson introduces students to floor plans as scale drawings. They must make sense of what they are looking at and how the floor plan may represent an actual apartment. Using the measurements and/or scale given to them, they can find actual dimensions of the rooms in the apartments. Students should ask themselves if the measurements they find make sense in the context of an apartment space (MP.1). In Lesson 19, students will have the opportunity to create their own floor plans.

Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Problems

25-30 minutes

Problem 1

The floor plan for an apartment is shown below.

Find the actual dimensions of the rooms indicated in the table.

Room Scale Drawing Dimensions Actual Dimensions
Bedroom 2    
Closet (above Bedroom 1)    
Kitchen    
Entire apartment    

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

References

EngageNY Mathematics Grade 7 Mathematics > Module 1 > Topic D > Lesson 19 — Source for image

Grade 7 Mathematics > Module 1 > Topic D > Lesson 19 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..

Problem 2

Travis is a realtor and is renting the apartment whose floor plan is shown below. He uses the floor plan to show potential renters how the apartment is laid out and the sizes of the rooms. 

The living room and large bedroom are missing the actual dimensions. Travis knows that on the scale drawing of the floor plan, the kitchen measures 5.5 cm by 6.25 cm. 

a.   What is the scale of the floor plan?

b.   What are the actual dimensions of the living room and the large bedroom if on the scale drawing they measure 7.5cm by 6.75 cm and 6.5 cm by 5.5 cm, respectively?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

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

At a lake, there is the option to rent a cabin to sleep in overnight. The floor plan shows the dimensions of the cabin (not including the backyard).

What are the actual dimensions of the cabin (not including the backyard)? 

Student Response

Upgrade to Fishtank Plus to view Sample Response.

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 problems where students are given a floor plan with a scale and must determine the actual measurements of the rooms.
  • Spiral in problems from Lessons 14 and 15.

Next

Compute actual areas from scale drawings.

Lesson 17
icon/arrow/right/large

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

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

We Handle Materials So You Can Focus on Students

We Handle Materials So You Can Focus on Students

We've got you covered with rigorous, relevant, and adaptable math lesson plans for free