Understanding and Representing Ratios

Lesson 6

Math

Unit 1

6th Grade

Lesson 6 of 18

Objective


Solve ratio problems using strategies including double number lines.

Common Core Standards


Core Standards

  • 6.RP.A.3 — Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Foundational Standards

  • 5.NF.B.5

Criteria for Success


  1. Draw double number lines for situations, using ratio relationships to count up in values while maintaining the same ratio. 
  2. Draw double number lines for situations, using ratio relationships to divide intervals into smaller values while maintaining the same ratio. 
  3. Solve ratio problems using a double number line as a tool.

Tips for Teachers


  • Throughout this unit, students will be introduced to different strategies and methods to use when solving ratio problems. The double number line is one of these strategies. Students may have other ideas or approaches to solving these problems, which is completely acceptable; however, encourage students to make the connections to the double number line so they understand how to use this tool and can add it to their toolkit.
  • For double number lines to be an effective tool, they need to be created with a level of precision. Ensure students demonstrate accurate double number lines in order to arrive at the correct conclusions (MP.6).
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Anchor Problems


Problem 1

A popular sports drink uses sugar as a sweetener. The ratio of ounces of liquid to grams of sugar is 12:21. Claudio only wants to take in 7 grams of sugar from his sports drink. How many ounces of the sports drink should Claudio drink? 

Draw a double number line to show your answer.

Guiding Questions

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References

EngageNY Mathematics Grade 6 Mathematics > Module 1 > Topic B > Lesson 12Lesson Notes

Grade 6 Mathematics > Module 1 > Topic B > Lesson 12 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 2

In a local park, flowers are being planted along the walkway. For every 6 flowers, 20 feet of space is needed along the walkway. How many feet of space is needed to plant 33 flowers? Show your reasoning.

Guiding Questions

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Problem Set

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

Target Task


Leslie can run 3 miles in 36 minutes. If she continues running at this rate, how long will it take her to run 8 miles? Use a double number line diagram to support your answer.

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 simple ratio problems where students represent a ratio on a double number line and use the double number line to solve a problem.
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Lesson 5

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Lesson 7

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Understanding & Describing Ratios

Topic B: Equivalent Ratios

Topic C: Representing Ratios in Tables

Topic D: Solving Part:Part:Whole Ratio Problems

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