MGSE.6.RP.3

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​MGSE.6.RP.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.

Subject | 6th Grade Georgia Standards of Excellence Math

MGSE.6.RP.3

​Learning Targets

I can 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.

I can use tables to compare ratios.

​

Subject | 6th Grade Georgia Standards of Excellence Math

MGSE.6.RP.3

​Vocabulary

Customary System-The primary system of measurement used in the US, which uses a variety of conversions

Double Numberm-Line Diagram A visual model used to solve unit rate problems and proportions

Metric System - The system of measurement that uses a base10 model; used by most countries

Percent - Number out of 100

Proportion - An equation of equivalent ratios

Rate - A ratio that compares quantities measured in different units

Ratio - A comparison of two numbers

Unit Rate - A comparison of two measurements in which one of the terms has a value of 1.​

​

Subject | 6th Grade Georgia Standards of Excellence Math

MGSE.6.RP.3

​Essential Questions

​• How are ratios used to compare two quantities or values?

• How can ratios and proportional reasoning be used to solve real-world mathematical problems?

​

Subject | 6th Grade Georgia Standards of Excellence Math

MGSE.6.RP.3

Ratios and Ratio Tables

I can use a RATIO TABLE to organize equivalent ratios to solve problems.

What do you need to know about Ratios?

• They are a comparison of 2 quantities.

• Types: Part to Part or Part to Whole/Whole to Part

• Formats: Fraction form, Word form, Colon form

• ORDER MATTERS!

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What are equivalent ratios?

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Multiple Choice

What is the ratio of stars to red circles in this image?

• 4 to 11

• 4 to 7

• 7 to 4

• 11 to 4

Multiple Select

Which of the following represents the ratio of lemons to fruit?

• 10:10

• 10:20

• 10 to 20

• 10:10

Multiple Select

Which statement is true about the ratio 7:8?

• It could mean 7 out of 8 students completed a homework assignment.

• It could mean there are 7 girls and 8 boys in a classroom.

• The ratio could also be written as 14:16.

• The ratio could mean that there are 7 students who did their work and 4 who did not.

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Multiple Choice

A school sells raffle tickets to raise money. In the table, x represents the number of tickets sold and y represents the money they earn. How much money would they earn if they sold 100 tickets?

• $175

• $225

• $400

• $500

Multiple Choice

The table shows how fast Amy can walk on the treadmill. Based on this table, how many feet could Amy walk in 21 seconds?

• 48 feet

• 60 feet

• 72 feet

• 84 feet

Multiple Choice

The nutrition label on a fruit drink says there are 2 grams of sugar in every 8 fluid ounces of the drink. Which ratio table shows this comparison correctly?

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Multiple Choice

The table shows the number of pages Blaine can read in his book. How many pages can he read in 42 minutes?

• 14

• 39

• 45

• 126

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