rate vs prioritize

rate is a noun but prioritize is not a noun.

Word	Noun	Adjective	Verb	Adverb
rate	Yes	No	Yes	No
prioritize	No	No	Yes	No

As verbs, prioritize is a hyponym of rate; that is, prioritize is a word with a more specific, narrower meaning than rate:

rate (noun)	prioritize (noun)
the relative speed of progress or change
amount of a charge or payment relative to some basis
a quantity or amount or measure considered as a proportion of another quantity or amount or measure
a magnitude or frequency relative to a time unit

rate (verb)	prioritize (verb)
assign a rank or rating to	assign a priority to
estimate the value of
be worthy of or have a certain rating