Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 4

Percent and Scaling

Lesson 4

Math

Unit 5

7th Grade

Lesson 4 of 19

Objective

Find the percent given a part and the whole.

Common Core Standards

Core Standards

  • 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.
  • 7.NS.A.3 — Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions.

Foundational Standards

  • 6.RP.A.3.C

Criteria for Success

  1. Identify values that represent part, percent, and whole in a percent situation. 
  2. Represent percent situations using visual diagrams such as tape diagrams or double number lines.
  3. Determine what percent a part is of the whole.
  4. Solve percent problems efficiently.

Tips for Teachers

  • Lessons 2–4 are approaching 7.RP.3 and review solving percent problems finding part, percent, and whole using strategies from 6th grade or using proportions learned earlier in the year. These lessons may be combined or stretched as needed to meet the needs of your students.
  • In order to provide opportunities for students to engage with standard 7.NS.3, calculators are not recommended to be used for every problem. In the interest of pacing, calculators may be used selectively. Students should use estimation and benchmark percentages to estimate answers and use as a check for reasonableness of the calculated answers (MP.5).
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Anchor Problems

25-30 minutes

Problem 1

In a 30-minute television show, 12 minutes of the airtime are spent on commercials. 

a.   Draw a visual representation of the problem.

b.   Determine what percent of the television show’s airtime is spent on commercials. Choose any strategy.

c.   Find a peer who used a different strategy to solve than you did. Compare and discuss your strategies and solutions.

Guiding Questions

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Student Response

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Problem 2

Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.  

a.   What percent of their goal did each boy raise so far?

b.   What is the amount that Cole raised as a percent of the amount Jamie raised?

c.   What is the amount Jamie raised as a percent of the amount Cole raised?

Guiding Questions

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Student Response

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Problem 3

At a middle school, 480 students in sixth through eighth grade responded to a survey that asked them what their favorite season was. The circle graph below shows some of the data from the survey. 

a.   How many students chose spring as their favorite season?

b.   What percent of students chose summer as their favorite season?

c.   In just the sixth-grade class, 28 students chose winter as their favorite season. This was 20% of the sixth grade. How many students are in the sixth grade at this school?

Guiding Questions

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Student Response

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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

You bought a winter coat for $34.10. The original price was $62.

What percent of the coat's original price did you pay? 

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

Find a new amount given the original and a percent increase or decrease.

Lesson 5
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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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