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Percent of a Quantity


Video Solutions to help Grade 6 students learn how to find the percent of a quantity.

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Lesson Plans and Worksheets for Grade 6
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Common Core For Grade 6

New York State Common Core Math Module 1, Grade 6, Lesson 27

Lesson 27 Outcome

• Students find the percent of a quantity. Given a part and the percent, students solve problems involving finding the whole.

Lesson 27 Summary

Percent problems include the part, whole and percent. When one of these values is missing, we can use tables, diagrams, and models to solve for the missing number.

NYS Math Module 1 Grade 6 Lesson 27 Classwork

Example 1
Solve the following three problems.
Write the words PERCENT, WHOLE, PART under each problem to show which piece you were solving for.
60% of 300 = ____
60% of ____ = 300
60 out of 300 = ___%
How did your solving method differ with each problem?

Exercise 1
Use models, such as 10 x 10 grids, ratio tables, tape diagrams or double number line diagrams, to solve the following situation.
Priya is doing her back to school shopping. Calculate all of the missing values in the table below, rounding to the nearest penny, and calculate the total amount Priya will spend on her outfit after she received the indicated discounts.
What is the total cost of Priya's outfit?

Problem Set
1. Mr. Yoshi has 75 papers. He graded 60 papers, and he had a student teacher grade the rest. What percent of the papers did each person grade?

2. Mrs. Bennett has graded 20% of her 150 students' papers. How many papers does she still need to finish?

Grade 6 Module 1 Lesson 27 Word Problems

Mrs. Erno has 150 papers. She graded 90 of the papers and had the student teacher grade the rest. What percent of the papers did the Mrs. Erno grade? What percent of the papers did the student teacher grade?

Mr. Anderson graded 35% of his 140 lab books. How many lab books does he still need to finish?


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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