der Orden
medal
An award given by the state or by an organization for special achievements or service.
Für ihr soziales Engagement erhielt sie einen hohen Orden.
She received a high medal for her social commitment.

medal / order
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medal
An award given by the state or by an organization for special achievements or service.
Für ihr soziales Engagement erhielt sie einen hohen Orden.
She received a high medal for her social commitment.

The meaning of 'Orden' becomes clear from the verbs and the context. If an 'Orden' is 'verliehen' (awarded), it is an award. If you 'beitreten' (join) an 'Orden', it is a community. If it is about 'Ritter' (knights) and the 'Mittelalter' (Middle Ages), it means a historical community.
Dem Wissenschaftler wurde ein Orden für seine Forschung verliehen.
The scientist was awarded a medal for his research.
When 'Orden' means an award, it is typically 'verliehen' (awarded), 'vergeben' (given out), 'bekommen' (received), or 'erhalten' (received). You can also 'tragen' (wear) a medal on your clothing.
Der Präsident hat dem Feuerwehrmann einen Orden für seine Tapferkeit verliehen.
The president awarded the firefighter a medal for his bravery.
When 'Orden' means a religious community, typical verbs are 'beitreten' (to join), 'eintreten' (to enter/join), or 'angehören' (to belong to).
Mit 20 Jahren ist er in einen Franziskanerorden eingetreten.
At the age of 20, he joined a Franciscan order.
price / prize
'der Preis' and 'der Orden' can both be an award. 'Preis' is used generally when someone wins something in a competition or for an achievement. An 'Orden' is more specific: it is usually officially awarded by the state or by an organization for special service or merit. The words can be confused because both show recognition. 'Preis' is more natural for competitions, and 'Orden' for very official honors.

Die Ärztin erhielt einen Orden für ihre lange Hilfe in Krisengebieten.
The doctor received a medal for her many years of help in crisis areas.
Der Preis für das beste Foto ging an einen jungen Schüler.
The prize for the best photo went to a young student.