to improve one’s performance, to step up one's game, to increase ("sich+Acc steigern" )
to increase something (not the most common choice, usually used for the idea of "performance" )
A thorough look at the meaning of "steigen" and it's prefix versions, which are crucial if you want to use transportation in Germany :). Also: steigern.
steigen, einsteigen, aussteigen, steigern, die Steigerung, versteigern
The core idea of this root was:
walking, striding upward
The most notable English relative is the noun stair, but the root is also the origin of stickler, which originally was about putting on a base, and hemistich and stoichiometry. Which are both words I had no clue about. The first one has something to do with poetry and the second one with chemistry, bit the common theme is “layering rows“. Kind of like stairs :).
In German, steigen and its relatives are the only members I could find.