reward vs teach

reward is a noun but teach is not a noun.

Word	Noun	Adjective	Verb	Adverb
reward	Yes	No	Yes	No
teach	No	No	Yes	No

As verbs, teach is a hypernym of reward; that is, teach is a word with a broader meaning than reward:

Other hypernyms of reward include instruct, learn.

reward (noun)	teach (noun)
an act performed to strengthen approved behavior
benefit resulting from some event or action
the offer of money for helping to find a criminal or for returning lost property
a recompense for worthy acts or retribution for wrongdoing
payment made in return for a service rendered

reward (verb)	teach (verb)
strengthen and support with rewards	accustom gradually to some action or attitude
act or give recompense in recognition of someone's behavior or actions	impart skills or knowledge to
bestow honor or rewards upon