Curriculum  /  Math  /  7th Grade  /  Unit 5: Percent and Scaling  /  Lesson 1

Percent and Scaling

Lesson 1

Math

Unit 5

7th Grade

Lesson 1 of 19

Objective

Define percent and convert between fractions, decimals, and percentages. Solve percent problems mentally with benchmark percentages.

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.

Foundational Standards

  • 6.RP.A.3.C

Criteria for Success

  1. Define percent as a rate per 100.
  2. Convert between fractions, decimals, and percentages, including benchmark values and fractional percentages.
  3. Mentally solve percent problems by reasoning about benchmark fractions and percentages.

Tips for Teachers

This lesson is approaching 7.RP.3 and reviews sixth-grade percent concepts that are foundational to this unit. This is a good opportunity to circle back to 7.NS.3 and incorporate problems involving operations with rational numbers.

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Anchor Problems

25-30 minutes

Problem 1

Shade in the grids to represent the following fractions:

a.  $${30\over 100}$$ b.  $${3 \over100}$$ c.  $${{1\over3}\over 100}$$

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 7 Mathematics > Module 4 > Topic A > Lesson 1 — Opening Exercise 2

Grade 7 Mathematics > Module 4 > Topic A > Lesson 1 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

Fill in the chart below to represent equivalent fractions, decimals, and percentages.

Fraction Decimal Percent
$$\frac{1}{4}$$    
  0.5  
    20%
$$\frac{1}{3}$$    
  0.05  
$$\frac{3}{8}$$    
  1.3  
    $$\frac{1}{2}$$%

Guiding Questions

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Student Response

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Problem 3

Use mental math to answer the questions below.

a.   

  1. What is 50% of 20?
  2. What is 25% of 48?
  3. What is 10% of 125?
  4. What is 5% of 50?

b.   

  1. 6 is 50% of what number?
  2. 10 is 25% of what number?
  3. 9 is 10% of what number?

c.   

  1. 21 is what percent of 210?
  2. 450 is what percent of 900?
  3. 20 is what percent of 80?
  4. 30 is what percent of 20?

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

Complete the following:

a.   What is 5% as a decimal and as a fraction?

b.   What is 5% of 200?

c.   Explain how you can find 5% of any number using mental math.

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 percent of a number when given percent and the whole.

Lesson 2
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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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