In what ways can equivalent ratios support proportional reasoning?

Students apply equivalence to the interpretation of ratios and rates.

A proportional relationship exists when one quantity is a multiple of the other.

Equivalent ratios can be created by multiplying or dividing both terms of a given ratio by the same number.

A proportion is an expression of equivalence between two ratios.

A rate describes the proportional relationship represented by a set of equivalent ratios.

A unit rate expresses a proportional relationship as a rate with a second term of 1.

A percentage describes a proportional relationship between a quantity and 100.

Percent of a number can be determined by multiplying the number by the percent and dividing by 100.

All equivalent ratios express the same proportional relationship.

A rate can be used to extend a given proportional relationship to different quantities.