Unit Rates and Percent

Lesson 12

Math

Unit 2

6th Grade

Lesson 12 of 14

Objective


Find the whole quantity, given a part and percent.

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.

Criteria for Success


  1. Distinguish between problems that are seeking the part and problems that are seeking the whole.
  2. Find the whole in percent problems using strategies including double number lines, tape diagrams, and tables.
  3. Assess the reasonableness of answers.

Tips for Teachers


  • Students will revisit solving for a whole in a percent problem when they study solving equations in Unit 6. Equations are an efficient strategy to use for this type of percent problem. In this lesson, the focus is on using other familiar strategies such as tables, double number lines, or tape diagrams to model and solve these problems. 
  • 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


Problem 1

Two similar situations are shown below. How are they similar and how are they different? 

  • A pair of sneakers regularly cost $40. They are on sale for 25% off. How much money will you save? 
  • A pair of boots are on sale for $40 off. This is a savings of 25%. What is the regular price of the boots? 

Guiding Questions

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Problem 2

The Alden Middle School has a girls’ soccer team and a boys’ soccer team. 

  • The girls’ soccer team won 80% of its games this season. They won 12 games.
  • The boys’ soccer team won 70% of its games this season. They won 14 games.

How many games did each soccer team play this season? 

Guiding Questions

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References

EngageNY Mathematics Grade 6 Mathematics > Module 1 > Topic D > Lesson 26Example 3

Grade 6 Mathematics > Module 1 > Topic D > Lesson 26 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

You’ve poured 84 gallons of water from a hose into a small pool. The pool is 35% filled with water. How many gallons of water can the pool hold if it is completely filled? 

Guiding Questions

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Problem Set

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Target Task


Dan uses a coupon at CVS that saves him 20%. On his receipt, he sees that he saved $3. How much was his bill before he used the coupon? Show your work using a strategy of your choice.

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.

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Lesson 11

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Lesson 13

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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