Proportions

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

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How do you solve a proportion?

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To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

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CCSS.7.RP.A.3

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What is the formula for finding a missing value in a proportion?

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If a/b = c/d, then ad = bc, where a, b, c, and d are the known values.

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CCSS.7.RP.A.3

Front

What is the relationship between unit rates and proportions?

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Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, and they can be used to set up proportions.

Tags

CCSS.7.RP.A.1

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How can proportions be used in real-life situations?

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Proportions can be used to solve problems involving scaling, such as recipes, maps, and conversions.

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CCSS.7.RP.A.3

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What is the cross-multiplication method?

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The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find a missing value.

Tags

CCSS.6.RP.A.3A

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What is a direct variation?

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Direct variation is a relationship between two variables where one variable is a constant multiple of the other, often expressed as y = kx.

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How do you determine if two ratios form a proportion?

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Two ratios form a proportion if their cross products are equal.

Tags

CCSS.7.RP.A.2A

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What is the significance of equivalent ratios?

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Equivalent ratios are ratios that express the same relationship between quantities, and they are fundamental in solving proportions.

Tags

CCSS.6.RP.A.3A

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How can you use proportions to find percentages?

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You can set up a proportion where the part is compared to the whole to find the percentage.