A unit rate describes the amount of one quantity corresponding to exactly one unit of another, such as 30 miles per hour or 1.5 cups per serving; the order of the quantities and their units determine the meaning. Learners interpret and calculate unit rates by dividing an equivalent ratio, and connect them across tables, double number lines, and equations to compare rates and reason about proportional relationships. The focus is on familiar positive whole-number, fraction, and decimal quantities, not formal rate functions or advanced dimensional analysis.
A unit rate tells how much of one quantity corresponds to exactly unit of another quantity. The words and units tell you what the answer means.
Example: A car travels miles in hours. What is the car’s speed in miles per hour?
Write the rate:
Divide both quantities by so the number of hours becomes :
Interpret the unit rate:
This means the car travels miles in hour.
You can also calculate it by dividing:
So, the car’s unit rate is miles per hour. The order matters: miles divided by hours gives miles per hour.
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