Lesson 10 | Unit Rates and Percent | 6th Grade Mathematics

Objective

Convert between fractions, percent, and decimals.

Common Core Standards

Core Standards

The core standards covered in this lesson

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.

Ratios and Proportional Relationships

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

The foundational standards covered in this lesson

4.NF.C.6

Number and Operations—Fractions

4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
5.NF.B.3

Number and Operations—Fractions

5.NF.B.3 — Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Criteria for Success

The essential concepts students need to demonstrate or understand to achieve the lesson objective

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

Tips for Teachers

Suggestions for teachers to help them teach this lesson

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

Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding

25-30 minutes

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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Student Response

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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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Student Response

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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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Student Response

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Problem Set

A set of suggested resources or problem types that teachers can turn into a 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

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

5-10 minutes

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.

Kuta Software Free Pre-Algebra Worksheets Converting between Percents, Fractions, and Decimals — Worksheet for basic, non-contextual problems
EngageNY Mathematics Grade 6 Mathematics > Module 1 > Topic D > Lesson 25 — Exercises, Problem Set, and Exit Ticket

Unit Rates and Percent

Objective

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Common Core Standards

Core Standards

Ratios and Proportional Relationships

Foundational Standards

Number and Operations—Fractions

Number and Operations—Fractions

Criteria for Success

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Tips for Teachers

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Anchor Problems

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Problem 1

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Guiding Questions

Student Response

Problem 2

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Guiding Questions

Student Response

Problem 3

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Guiding Questions

Student Response

Problem Set

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Target Task

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Student Response

Additional Practice

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