Proportions & complex ratios

Front

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 set up a proportion to solve a problem?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are one ratio, and c and d are another ratio.

Tags

CCSS.7.RP.A.2C

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the cross-multiplication method in solving proportions?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

Tags

CCSS.7.RP.A.3

Front

If 5 ice cream cones are sold for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio of ice cream cones to brownies is 5:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find an unknown in a proportion?

Back

To find an unknown in a proportion, set up the proportion and use cross-multiplication to solve for the unknown.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where one variable is a constant multiple of another, which can be expressed as a proportion.

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CCSS.7.RP.A.2D

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How can you use proportions to solve real-world problems?

Back

Proportions can be used to solve real-world problems by setting up a relationship between two quantities and finding an unknown value.

Tags

CCSS.7.RP.A.2C

Front

What is the formula for finding the total amount when given a ratio?

Back

The total amount can be found by adding the parts of the ratio and then using that sum to find the value of each part.