Bu plan öğrencilere önerilmelidir.

Breakdown of Bu plan öğrencilere önerilmelidir.

bu
this
plan
the plan
öğrenci
the student
-e
to
önerilmek
to be recommended
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Questions & Answers about Bu plan öğrencilere önerilmelidir.

What does the suffix -melidir in önerilmelidir indicate?
-melidir expresses necessity or obligation, equivalent to should or must in English.
How is the word önerilmelidir built morphologically?

It consists of four parts: • öner- (root = recommend)
-il (passive marker)
-meli (necessity marker)
-dir (third-person declarative ending, adds formality)

Why is öğrencilere in the dative case rather than the accusative?
Turkish marks the indirect object (the person to whom something is done) with the dative suffix -e. Since you “recommend something to the students,” öğrencilere takes the dative.
Why is the sentence passive? Can it be turned into an active form?

The passive removes or hides the agent when it’s unknown or unimportant.
Active equivalent (naming the agent) would use önermeli instead of önerilmelidir. For example:
Öğretmenler bu planı öğrencilere önermeli.

Can -dir in önerilmelidir be dropped to say önerilmeli? Is there a nuance?
Yes. In informal speech or writing you often say önerilmeli. Adding -dir makes it more formal or official but doesn’t change the core meaning.
What role does Bu play in Bu plan? Does it carry a case ending?
Bu is a demonstrative pronoun meaning this. It never takes case endings itself; instead, the noun plan carries the case (here nominative).
Is the word order fixed in Bu plan öğrencilere önerilmelidir? Could you move elements?

Turkish has flexible word order, though SOV (subject-object-verb) is default. You can front other parts for emphasis, e.g.:
Öğrencilere bu plan önerilmelidir.