A unit rate tells us how much one quantity changes when another related quantity changes by one unit.
Unit rates quantify the relationship, or covariation, between two quantities or variables.
The unit rate between two variables tells us the slope of the linear relationship between those two variables.
"When this [goes up/changes] by 1, that [goes up/changes/goes down] by ____!"
More generally, children may point out a general rule or pattern that whenever one quantity changes by 1, the other changes by a set amount. They may also seek out this unit rate by starting with a given ratio (for example, 2 to 3) and dividing down.
Children may trace out a slope ("up-and-over") with their hands or draw a sketch that shows what happens over multiple minutes (or another unit).
Here, a child reduces to a unit rate and uses that to show a pattern over time.
Used in tasks in which something is changing over time at a constant rate.
Children might reduce a ratio to its simplest form.