Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 3

Percent and Scaling

Lesson 3

Math

Unit 5

7th Grade

Lesson 3 of 19

Objective

Find the whole given a part and percent.

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. Find a whole when given the part and percent using multiple strategies including tables, equations, and proportions.
  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

At the Kennedy Middle School, 280 students attended the end-of-year carnival, representing 80% of the students in the school. 

a.   Draw a visual representation of the problem.

b.   Determine how many students are at the Kennedy Middle School. 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

At Shoe Line, there are 132 boots, which make up 24% of the shoes in the store. At Shoe Warehouse, there are 120 boots, which make up 15% of the shoes in the store. 

Which store has more shoes? Justify your answer. 

Guiding Questions

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Student Response

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Problem 3

A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year. 

How many helmets did the company sell in their first year?

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

At the Blackstone High school, 86 seniors submitted college applications for early decision. This represented approximately 34% of the senior class. 

The Truman High School, across town from the Blackstone High School, has 266 seniors. 

Which high school has the larger senior class? Justify your answer. 

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 the percent given a part and the whole.

Lesson 4
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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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