project vs map out

project is a noun but map out is not a noun.

Word	Noun	Adjective	Verb	Adverb
project	Yes	No	Yes	No
map out	No	No	Yes	No

As verbs, map out is a hyponym of project; that is, map out is a word with a more specific, narrower meaning than project:

Other hyponyms of project include engineer, plot, concert, redesign, blueprint, draft, draught, map.

project (noun)	map out (noun)
any piece of work that is undertaken or attempted
a planned undertaking

project (verb)	map out (verb)
present for consideration, examination, criticism, etc.	plan, delineate, or arrange in detail
regard as objective
communicate vividly
throw, send, or cast forward
transfer (ideas or principles) from one domain into another
imagine; conceive of; see in one's mind
make or work out a plan for; devise
put or send forth
draw a projection of
cause to be heard
project on a screen
extend out or project in space