Magistra discipulis praeceptum utile dat.

Magistra is nominative singular. In Latin, the nominative case is typically used for the subject of the sentence.

Here, magistra is the person doing the action of dat. Since dat means gives and is third person singular, it matches a singular subject: the teacher.

So:

• magistra = subject
• dat = gives

Together, they mean that the teacher gives.

Because discipulis is dative plural, and the dative case is often used for the indirect object — the person to whom something is given.

With the verb dare (to give), Latin commonly uses:

• nominative for the giver
• accusative for the thing given
• dative for the receiver

So in this sentence:

• magistra = the teacher
• praeceptum utile = a useful instruction/precept
• discipulis = to the students

If you used discipulos, that would be accusative plural, which would suggest the students were the direct object instead.

Yes. The form discipulis can be either dative plural or ablative plural.

Latin often has forms that can belong to more than one case, so you have to use the sentence structure and meaning to decide which one it is.

Here, discipulis is best understood as dative plural because it goes naturally with dat:

• someone gives
• something
• to someone

So although the form could be ablative in some other sentence, here it is functioning as the dative of recipient.

Praeceptum is accusative singular. It is the direct object, meaning it is the thing being given.

In this sentence, the teacher is giving a useful instruction/precept, so praeceptum is the thing directly affected by the action.

A useful detail: praeceptum is a neuter second-declension noun, and for many neuter nouns, the nominative singular and accusative singular look the same. So the form praeceptum could be either nominative or accusative in isolation, but here the sentence structure shows it is accusative.

Because utile agrees with praeceptum.

Latin adjectives must agree with the nouns they describe in:

• gender
• number
• case

Praeceptum is:

• neuter
• singular
• accusative

So the adjective must also be:

• neuter
• singular
• accusative

The adjective utilis, utile has:

• masculine/feminine form: utilis
• neuter form: utile

Since praeceptum is neuter, Latin uses utile.

Dat is the third person singular present active indicative of dare, meaning to give.

That tells us:

• third person = he/she/it gives
• singular = one person gives
• present tense = gives / is giving

The ending -t is the key sign of third person singular in many Latin verbs.

So dat already contains the idea she gives or he gives, and magistra makes it clear that the subject is the female teacher.

Latin does not have articles like English the and a/an.

So magistra can mean:

• the teacher
• a teacher

And praeceptum utile can mean:

• the useful instruction
• a useful instruction

Which English article is best depends on the context. Latin leaves that unstated unless some other word makes it clear.

Latin word order is more flexible than English word order because the endings show what each word is doing.

In this sentence:

• magistra is nominative
• discipulis is dative
• praeceptum is accusative
• utile agrees with praeceptum
• dat is the verb

So even if the order changed, the basic meaning could stay the same. For example, these would still mean essentially the same thing:

• Magistra discipulis praeceptum utile dat
• Magistra praeceptum utile discipulis dat
• Praeceptum utile magistra discipulis dat

The usual difference is emphasis, not core meaning. Latin often places the verb near the end, as in this sentence.

In Latin, adjectives can come before or after the noun they modify. Both are normal.

So:

• praeceptum utile
• utile praeceptum

can both mean a useful instruction.

Latin writers often choose adjective placement for style, rhythm, or emphasis rather than because one order is the only correct one. For a learner, the important point is not the position but the agreement:

• praeceptum = neuter singular accusative
• utile = neuter singular accusative

That matching is what shows they belong together.