There are a variety of synonyms for the phrase "give big points." One option might be "award major points," which conveys the idea of giving a significant number of points. Another potential synonym is "grant substantial points," which extends the notion of simply giving points to a more deliberate and intentional act. Similarly, "bestow significant points" implies that the act of awarding points is a mark of distinction or honor. Alternative synonyms could include "provide generous points," "assign noteworthy points," or "issue meaningful points." Ultimately, the choice of phrase will depend on the context and intended meaning of the sentence.