Curriculum  /  Math  /  6th Grade  /  Unit 2: Unit Rates and Percent  /  Lesson 9

Unit Rates and Percent

Lesson 9

Math

Unit 2

6th Grade

Lesson 9 of 14

Objective

Solve percent problems using benchmark fractions and percentages, with and without written work.

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.B.4.B
  • 4.NF.B.4.C
  • 5.NF.B.4.A

Criteria for Success

  1. Know the equivalent percentages for benchmark fractions, including $$\frac{1}{10}$$, $$\frac{1}{4}$$, and $$\frac{1}{2}$$, and their multiples.
  2. Mentally solve percent problems by reasoning about benchmark fractions and percentages.

Tips for Teachers

In this lesson, students will preview solving percent problems by using familiar fraction concepts. In later lessons in this unit, students will solve more challenging percent problems using different strategies. The problems in this lesson all lend themselves toward being answered using mental strategies and do not necessarily require the use of a tool. Knowing how to work with these benchmark percentages will support students in reflecting on the reasonableness of their answers (MP.1).

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Anchor Problems

25-30 minutes

Problem 1

Represent each fraction as a percent by completing the table. Use the two double number lines below to show your work.

Fraction $$\frac{1}{10}$$ $$\frac{1}{4}$$

 $$\frac{2}{10}$$ or $$\frac{1}{5}$$

 $$\frac{1}{2}$$

 $$\frac{3}{4}$$

 $$\frac{8}{10}$$ or $$\frac{4}{5}$$
Percent            
 

Guiding Questions

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Student Response

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Problem 2

Answer the questions below using mental math. Use your double number lines from Anchor Problem 1 if you need to.

a.   What is $$\frac{1}{2}$$ of 20?

b.   What is 50% of 20?

c.   What is 10% of 60?

d.   What is 20% of 60?

e.   What is $$\frac{1}{4}$$ of 48?

f.   What is 25% of 48?

g.   What is 75% of 48?

h.   What is 10% of 125?

i.   A textbook that costs $36 is on sale for 25% off. How much money will you save?

Guiding Questions

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Student Response

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Problem 3

Answer the questions below using mental math. Use your double number lines from Anchor Problem 1 if you need to.

a.   5 is 50% of what number?

b.   12 is 10% of what number?

c.   15 is 25% of what number?

d.   30 is 75% of what number?

e.   400 is 20% of what number?

f.   A coat is on sale for 10% off. You save $18. What was the original price of the coat?

Guiding Questions

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Student Response

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Problem 4

Answer the questions below using mental math. Use your double number lines from Anchor Problem 1 if you need to.

a.   24 is what percent of 240?

b.   350 is what percent of 700?

c.   20 is what percent of 80?

d.   30 is what percent of 40?

e.   80 is what percent of 80?

f.   You saved $4 on a book that originally cost $16. What percent of the original cost did you save?

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

What is 20% of 210? Explain how you can find 20% 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.

  • Include problems where students solve simple percent problems using benchmark fractions. Encourage students to solve these mentally rather than by using a representation. Ask students to explain their thinking in words.
  • This could be a good opportunity to have students work in pairs, asking each other questions similar to the Anchor Problems.

Next

Convert between fractions, percent, and decimals.

Lesson 10
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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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