Usage patterns
成績が上がるfor one's grades/results to improve
After studying every day, my grades improved.
成績が下がるfor one's grades/results to decline
I played video games all the time, and my grades dropped.
〈物〉の成績が良いto have good grades/results in something
He has good grades in math.
成績を上げるto improve one's grades/performance (through effort)
I want to improve my grades on the next test.
成績を残すto leave behind/achieve a (notable) record
That athlete achieved a great result at the world competition.