Equivalent Ratios and Ratio Tables

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

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How do you create a ratio table?

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A ratio table is created by listing pairs of equivalent ratios in a table format, showing how one quantity changes in relation to another.

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If a recipe calls for 2 cups of sugar and 3 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you find an unknown quantity in a ratio table?

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You can find an unknown quantity by using equivalent ratios to set up a proportion and solve for the missing value.

Front

If it takes 2 hours to read 30 pages, how many pages can you read in 4 hours?

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You can read 60 pages in 4 hours.

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CCSS.6.RP.A.3B

Front

What is the purpose of using ratio tables in problem-solving?

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Ratio tables help visualize the relationship between quantities and make it easier to find equivalent ratios and solve problems.

Front

If a car travels 150 miles in 3 hours, what is the ratio of miles to hours?

Back

The ratio of miles to hours is 150:3, which simplifies to 50:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross-products are equal.

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CCSS.6.RP.A.3A

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If a recipe requires 4 cups of water for every 1 cup of rice, how much water is needed for 3 cups of rice?

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You need 12 cups of water for 3 cups of rice.

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CCSS.6.RP.A.3B