plan vs propose

plan is a noun but propose is not a noun.

Word	Noun	Adjective	Verb	Adverb
plan	Yes	No	Yes	No
propose	No	No	Yes	No

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

plan (noun)	propose (noun)
scale drawing of a structure
a series of steps to be carried out or goals to be accomplished
an arrangement scheme

plan (verb)	propose (verb)
make plans for something	present for consideration, examination, criticism, etc.
have the will and intention to carry out some action	propose or intend
make or work out a plan for; devise	make a proposal, declare a plan for something
	ask (someone) to marry you
	put forward; nominate for appointment to an office or for an honor or position