mathematics vs metric

mathematics and metric both are nouns.

Word	Noun	Adjective	Verb	Adverb
mathematics	Yes	No	No	No
metric	Yes	Yes	No	No

mathematics (noun)	metric (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	a system of related measures that facilitates the quantification of some particular characteristic
	a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
	a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

mathematics (adjective)	metric (adjective)
	based on the meter as a standard of measurement
	the rhythmic arrangement of syllables