"Reaching up" is a metaphorical term that implies an individual is striving for success or achievement. There are several synonyms that can be used to communicate the same idea, such as "striving," "aspiring," and "endeavoring." Other related phrases include "aiming high," "reaching for the stars," and "shooting for the moon." All of these expressions convey the same sense of reaching beyond one's current position to attain a higher level of accomplishment or fulfillment. No matter the synonym, the underlying message is clear: it's important to always aim for the best and strive towards success in all aspects of life.