Curriculum / Math / 6th Grade / Unit 1: Understanding and Representing Ratios / Lesson 18
Math
Unit 1
6th Grade
Lesson 18 of 18
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Lesson Notes
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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.
The core standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
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.
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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.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
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.
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.
Topic A: Understanding & Describing Ratios
Define ratio and use ratio language to describe associations between two or more quantities.
Standards
6.RP.A.1
Represent ratios using discrete drawings. Understand that the order of numbers in a ratio matters.
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Topic B: Equivalent Ratios
Define and find equivalent ratios.
Reason with equivalent ratios and determine if two ratios are equivalent.
Represent ratios using double number lines and identify equivalent ratios.
6.RP.A.3
Solve ratio problems using strategies including double number lines.
Find equivalent ratios using ratios with “per 1” unit.
6.RP.A.36.RP.A.3.B
Compare situations using equivalent ratios and double number lines.
Use ratio reasoning to solve a three-act task.
Topic C: Representing Ratios in Tables
Represent ratios in tables.
6.RP.A.36.RP.A.3.A
Understand the structure of tables of equivalent ratios. Solve ratio problems using tables.
Solve ratio problems using tables, including those involving total amounts.
Compare ratios using tables.
6.RP.A.3.A
Solve ratio problems using different strategies.
6.RP.A.16.RP.A.36.RP.A.3.A
Topic D: Solving Part:Part:Whole Ratio Problems
Solve part:part ratio problems using tape diagrams.
6.RP.A.16.RP.A.3
Solve part:whole ratio problems using tape diagrams.
Solve more complex ratio problems using tape diagrams.
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