Curriculum / Math / 6th Grade / Unit 1: Understanding and Representing Ratios / Lesson 13
Math
Unit 1
6th Grade
Lesson 13 of 18
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Compare ratios using tables.
The core standards covered in this lesson
6.RP.A.3.A — Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
In Lesson 7, students compared ratios by finding equivalent ratios with double number lines. Students revisit this concept of comparing ratios, but now they are able to use a more flexible tool, the table.Â
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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
Amit and Dassana are making curry rice for their cousin’s birthday party. They each have their own recipe using a specific ratio of curry powder to basmati rice. They wonder if their rice will taste the same or different. Use the tables of equivalent ratios below to help them decide. Support your answer with details from the tables.
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Three people, Laredo, Franca, and Milton, made grape juice using water and juice concentrate (JC). The tables below show the comparison of the ingredients they each used.
Put the juices in order from the juice that has the least grape flavor to the most grape flavor.
Grade 6 Mathematics > Module 1 > Topic B > Lesson 11 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..
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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
Hummingbird feeders can be filled with a simple sugar water mixture. Two different recipes are shown below.
Compare the two different recipes. Which recipe is more sugary? Justify your response.
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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Solve ratio problems using different strategies.
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.
6.RP.A.3.A
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.
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.
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