plan vs draw up

plan is a noun but draw up is not a noun.

Word	Noun	Adjective	Verb	Adverb
plan	Yes	No	Yes	No
draw up	No	No	Yes	No

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

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

plan (verb)	draw up (verb)
make plans for something	make up plans or basic details for
have the will and intention to carry out some action	come to a halt after driving somewhere
make or work out a plan for; devise	cause (a vehicle) to stop
	straighten oneself
	form or arrange in order or formation, as of a body of soldiers