A unit rate expresses a multiplicative relationship as the amount of one quantity corresponding to exactly one unit of another, found by dividing the quantities while preserving their units (including with fractions and decimals). Learners interpret and compare unit rates in tables, graphs, equations, and real-world contexts, recognizing that reversing the quantities changes the rate; the focus is on proportional relationships rather than multivariable rates or formal calculus-based interpretations.
A unit rate tells how much of one quantity corresponds to exactly unit of another quantity. To find it, divide the amount by the number of units, and keep the units in the answer.
Example: A car travels miles using gallons of gas. What is the car’s rate in miles per gallon?
Identify the quantities:
Since we want miles per gallon, divide miles by gallons:
Calculate:
Include the units:
The car travels miles for every gallon of gas. The order matters: dividing gallons by miles would give gallons per mile, which is a different rate.
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