Curriculum  /  Math  /  6th Grade  /  Unit 2: Unit Rates and Percent  /  Lesson 13

Unit Rates and Percent

Lesson 13

Math

Unit 2

6th Grade

Lesson 13 of 14

Objective

Solve percent problems, including finding percent when given a part and a whole.

Common Core Standards

Core Standards

  • 6.RP.A.3.C — Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Foundational Standards

  • 4.NF.C.6
  • 5.NF.B.3

Criteria for Success

  1. Understand how various aspects of a percent problem are related (the whole amount, the remaining amount, the part, the percentage of, the percentage remaining).
  2. Find the percent when given a part and a whole by writing a fraction of the part over the whole and finding an equivalent fraction over 100. 
  3. Find the percent when given a part and a whole by dividing the part by the whole and writing the decimal as a fraction over 100 (or equivalently, multiplying by 100).

Tips for Teachers

  • Students may need to review or practice skills from 5.NBT.6 before they can fully access this lesson. 
  • In Lessons 11 – 13, students engage in MP.2 as they make sense of how the part, percent, and whole relate to one another, and how they can use ratio reasoning to find any one of the values when given the other two.
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Anchor Problems

25-30 minutes

Problem 1

Several tags from a store are shown below. Explain how they are all related to each other. 

Guiding Questions

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Student Response

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Problem 2

Four students are practicing for a track meet. They take turns running around a track that measures 250 yards around. Each student runs as far as he or she can run in 30 seconds, at which point they measure the distance traveled. 

Each student's distance is shown below in the chart. Determine what percent of the track each student traveled in 30 seconds. 

Student Distance traveled (yards) Fraction of track traveled Percent of track traveled
Jamal 150    
Kristen 200    
Lenny 180    
Marta 165    

 

Guiding Questions

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Student Response

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Problem 3

You spend 25% of your Saturday hanging out with friends and family. You spend 4 hours reading and watching television. 

a.   How many hours did you spend hanging out with friends and family?

b.   What percent of your day did you spend reading and watching television? 

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

How is $200 reduced by 40% different from 40% of $200? Justify your answer using words or a representation to model the two situations.

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.

  • Include problems where students are asked to find a percent when given parts and must add the parts to find the whole. For example, 35 students voted for Ben and 55 students voted for Sabrina. If all of the students voted, then what percent of the students voted for Sabrina?

Next

Solve multi-step problems involving rate and percent.

Lesson 14
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Defining Rate & Solving Rate Problems

Topic B: Measurement Unit Conversions

Topic C: Percent

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