Here’s another gem from the good folks at Common Core:
If 5/2 and 100/T are viewed as unit rates obtained from the equivalent ratios 5:2 and 100:T, then they must be equivalent fractions because equivalent ratios have the same rates.
Got that?
This is but one gem in 15 pages of Talmudic exegesis on ratios and proportional reasoning at sixth and seventh grade.
That does seem like rather turgid prose. The problem is with the English, rather than the math. I dislike the proliferation of terms (ratio, unit rate, fraction) for a single concept. The distinction between equality and equivalence, though important at a high enough level in math also seems irrelevant for K–12 math.