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?

Fill in the Blanks

The table shows the number of pages Blaine can read in his book. How many pages can he read in 20 minutes?

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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