Unit Rates and Percent

Lesson 10

Math

Unit 2

6th Grade

Lesson 10 of 14

Objective


Convert between fractions, percent, and decimals.

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. Convert between fractions and percent using a double number line.
  2. Find the decimal value of a fraction. 
  3. Use the decimal value of a fraction in order to find the rate per 100, or the percent.
  4. Write a percent as a fraction over 100 and other equivalent fractions.

Tips for Teachers


Students may need to review 4.NF.6 and 5.NF.3 before they can fully access this lesson. 

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Anchor Problems


Problem 1

A survey was given to a sixth-grade class asking students if they wanted to have an after-school dance club. Three out of every four students said yes. 

Use the double number line below to model the situation.

a.   What fraction of the sixth-grade class responded yes?

b.   What percent of the sixth-grade class responded yes?

Guiding Questions

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Problem 2

In another survey, $$\frac{1}{5}$$ of the sixth-grade class voted to go to the aquarium for a field trip. 

a.   What is $$\frac{1}{5}$$ as a decimal?

b.   What is $$\frac{1}{5}$$ as a percent?

Guiding Questions

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Problem 3

On a final survey question, 16% of the sixth-grade class voted to change their school colors. What fraction of the sixth-grade class is this? 

Guiding Questions

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Problem Set

Fishtank Plus Content

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


Complete the chart below.

Fraction Decimal Percent
$$1\over5 $$    
  0.65  
    40%
  0.05  
  0.25  
    24%

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 convert between the three forms of numbers, including some examples of benchmark fractions and percent. 
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Lesson 9

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Lesson 11

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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