lecture vs teaching

lecture and teaching both are nouns.

Word	Noun	Adjective	Verb	Adverb
lecture	Yes	No	Yes	No
teaching	Yes	No	No	No

As nouns, teaching is a hypernym of lecture; that is, teaching is a word with a broader meaning than lecture:

lecture: teaching by giving a discourse on some subject (typically to a class)
teaching: the profession of a teacher

Other hypernyms of lecture include instruction, pedagogy.

lecture (noun)	teaching (noun)
teaching by giving a discourse on some subject (typically to a class)	the profession of a teacher
a speech that is open to the public	the activities of educating or instructing; activities that impart knowledge or skill
a lengthy rebuke	a doctrine that is taught

lecture (verb)	teaching (verb)
censure severely or angrily
deliver a lecture or talk