steigen
to rise
To increase in quantity, value, intensity, or level.
Die Arbeitslosigkeit ist im letzten Quartal leicht gestiegen.
Unemployment rose slightly in the last quarter.

to rise / climb
Loading your saved state.
to rise
To increase in quantity, value, intensity, or level.
Die Arbeitslosigkeit ist im letzten Quartal leicht gestiegen.
Unemployment rose slightly in the last quarter.

'Steigen' (to rise/climb) describes movement or a change of state. Therefore, the perfect tense is always formed with the auxiliary verb 'sein' (to be).
Die Benzinpreise sind schon wieder gestiegen.
Petrol prices have risen again.
'Steigen' (to climb/get) is the base verb for many important verbs related to means of transport: 'einsteigen' (to get in), 'aussteigen' (to get out), and 'umsteigen' (to change vehicles/trains).
Wir müssen an der nächsten Haltestelle aussteigen.
We have to get off at the next stop.
In the meaning 'zunehmen' (to increase), 'steigen' (to rise) is usually used for abstract things that can be measured, such as prices, temperatures, numbers, or fever.
Die Nachfrage nach Elektroautos steigt kontinuierlich.
Demand for electric cars is rising continuously.
When entering vehicles, the preposition is important: you get 'in' closed vehicles ('in den Bus' — into the bus, 'ins Auto' — into the car), but 'auf' for open vehicles or animals ('auf das Fahrrad' — onto the bicycle, 'aufs Motorrad' — onto the motorcycle).
Er stieg schnell in den Zug, bevor die Türen sich schlossen.
He quickly got into the train before the doors closed.
The meaning 'stattfinden' (to take place) is colloquial and is used almost only for parties, festivals, or similar events.
Wo steigt heute Abend die Party?
Where's the party happening tonight?
to fall
'fallen' and 'steigen' often describe movement or change in opposite directions. With real movement, 'fallen' means that something goes downward, often in an uncontrolled way. 'steigen' means that something goes upward or becomes larger. With numbers, prices, or temperatures, you say they 'fallen' when they become lower, and they 'steigen' when they become higher. The words can be confused because both are used with values and quantities. The important thing is the direction: downward or less = 'fallen', upward or more = 'steigen'.

Im Sommer steigen die Temperaturen oft schon am Vormittag.
In summer, temperatures often rise as early as the morning.
Nach dem Wochenende fallen die Preise für viele Hotels.
After the weekend, prices for many hotels fall.