to rise, to increase, to go up (works well for all kinds of quantities)
Opposite (closest): fallen
to climb (rarely used by itself in that sense, but it does carry that idea)
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.