Writing and Solving Proportions

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

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 and setting the two products equal to each other.

Tags

CCSS.6.RP.A.3A

Front

If a:b = c:d, what is the relationship between a, b, c, and d?

Back

The relationship indicates that the ratio of a to b is equal to the ratio of c to d.

Tags

CCSS.6.RP.A.3A

Front

How can you find a missing value in a proportion?

Back

You can find a missing value by setting up the proportion and using cross-multiplication to solve for the unknown.

Tags

CCSS.7.RP.A.2B

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate from a given scenario?

Back

To calculate a unit rate, divide the total quantity by the number of units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

In the context of proportions, what does 'scaling up' mean?

Back

'Scaling up' means increasing both quantities in a proportion by the same factor to maintain the ratio.

Tags

CCSS.7.RP.A.2C

Front

In the context of proportions, what does 'scaling down' mean?

Back

'Scaling down' means decreasing both quantities in a proportion by the same factor to maintain the ratio.

Tags

CCSS.7.RP.A.2C

Front

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

Back

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

Tags

CCSS.7.RP.A.2C