Understanding and Representing Ratios

Lesson 18

Math

Unit 1

6th Grade

Lesson 18 of 18

Objective


Solve ratio problems using a variety of strategies, including reasoning about diagrams, double number lines, tables, and tape diagrams. Summarize strategies for solving ratio problems.

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.

Criteria for Success


  1. Choose and apply efficient strategies from toolkit in order to solve ratio problems (MP.5).

Tips for Teachers


This is a flex lesson that can be used in a variety of ways, depending on the individual class. There is one anchor problem that brings together the various strategies learned throughout the unit. The Problem Set Guidance is a collection of suggestions for problems and/or activities that may be used for this day.

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Anchor Problems


Sorah, John, and Pedro are participating in their school’s Quarter Drive to raise money. Over the course of the fundraiser, the ratio of the number of quarters that Sorah, John, and Pedro collect is 3:4:2. 

a.   Write 3 ratio statements to compare the number of quarters that the students collected.

b.   What fraction of the total coins collected did Sorah collect?

c.   After the first day of the fundraiser, the students count a total of 36 quarters collected. How many quarters did each student collect? Use a triple number line to represent your solution.

d.   After a few weeks of the fundraiser, the students count a total of 540 quarters. How many quarters did each student collect? Use a tape diagram to represent your solution.

e.   At the end of the fundraiser, Sorah determines that she’s collected 315 quarters. How many quarters did the students collect in all? How much money did they raise? Use a table to represent your solution.

Guiding Questions

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Problem Set

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Target Task


In a bag of jelly beans, there are purple jelly beans (grape) and red jelly beans (cherry). For every 4 purple jelly beans, there are 7 red jelly beans. There are 902 jelly beans in the bag. How many of each flavor are there? 

Choose a strategy to solve the problem. Explain why you chose this strategy and how it shows your solution. 

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.

  • Create posters for Anchor Problem #1, or similar problems, to showcase the various ways to represent ratios and solve problems.
  • Students create their own ratio problems and swap with partners to solve them.
  • Give the class the same ratio problem, and assign different groups to solve it using different strategies; compare all strategies as a class.
  • Any problems not used from Lesson 14.
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Lesson 17

Lesson Map

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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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