Rates and Ratios

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What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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A ratio can be written in three ways: using a colon (e.g., 5:7), as a fraction (e.g., 5/7), or in words (e.g., 5 to 7).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

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CCSS.6.RP.A.3A

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often expressed as 'per' (e.g., miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the better buy when comparing prices?

Back

To find the better buy, calculate the unit price for each option and compare them; the lower unit price is the better buy.

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CCSS.6.RP.A.3B

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What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

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CCSS.6.RP.A.3A

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How do you determine if two ratios are equivalent?

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Two ratios are equivalent if their cross products are equal.

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CCSS.6.RP.A.3A

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What is a ratio table?

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A ratio table is a table that shows equivalent ratios, often used to find missing values.

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How do you calculate a unit rate from a graph?

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To calculate a unit rate from a graph, determine the slope of the line, which represents the change in the dependent variable per unit change in the independent variable.

Tags

CCSS.7.RP.A.1