Proportions 7.RP.1, 7.RP.2a, 7.RP.2b

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is the cross-multiplication method?

Back

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

Front

What does the term 'ratio' mean?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

Give an example of a real-life situation that can be modeled with proportions.

Back

If a recipe requires 2 cups of flour for every 3 cups of sugar, you can use proportions to find out how much flour is needed if you have 9 cups of sugar.

Front

What is the relationship between ratios and proportions?

Back

Ratios are the parts of a whole, while proportions compare two ratios to show that they are equivalent.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Front

How can you find a unit rate from a proportion?

Back

To find a unit rate from a proportion, divide the numerator by the denominator to express the ratio as a quantity per one unit.

Front

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

Back

If a/b = c/x, then x = (b * c) / a.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, such as 1:2 and 2:4.