Proportional Ratios

Front

What is a proportional ratio?

Back

A proportional ratio is a relationship between two quantities where the ratio remains constant. For example, if 2 apples cost $4, then 4 apples will cost $8, maintaining the ratio of 1 apple to $2.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

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

Tags

CCSS.7.RP.A.2C

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity, such as miles per hour or rotations per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for a table to represent a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equivalent. This means that as one quantity increases, the other quantity increases at a constant rate.

Tags

CCSS.7.RP.A.2D

Front

How do you fill in a missing number in a ratio table?

Back

To fill in a missing number in a ratio table, use the known ratios to find the equivalent value. For example, if the ratio is 3:11 and you know one part, you can find the other by maintaining the same ratio.

Front

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

Back

The formula for finding a missing value in a proportion is a/b = c/x, where x is the unknown value. Cross-multiply to solve for x.

Tags

CCSS.7.RP.A.2C

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4, which represents the same relationship.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross-products are equal. For example, for the ratios a/b and c/d, they are equivalent if ad = bc.

Tags

CCSS.6.RP.A.3A

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the factor that relates two proportional quantities. It is the ratio of one quantity to the other and remains constant throughout.

Tags

CCSS.7.RP.A.2B