Magistra discipulis rationem clare explicat.

Because magistra is in the nominative singular, the case normally used for the subject.

• magistra = female teacher
• nominative singular ending: -a for this first-declension noun

So magistra is the teacher who is doing the action of explaining.

Also, magistra is specifically feminine. A male teacher would be magister.

Discipulis is in the dative plural because it shows the indirect object: the people to whom something is explained.

Here the teacher explains something to the students, so Latin uses the dative:

• discipulis = to the students / for the students

This is very common with verbs of giving, telling, showing, and explaining.

Because rationem is the direct object: it is the thing being explained.

• ratio, rationis is a third-declension noun
• rationem is its accusative singular form

So:

• magistra = the subject, the one doing the action
• rationem = the direct object, the thing explained
• discipulis = the indirect object, the people receiving the explanation

Explicat is:

• present tense
• active voice
• indicative mood
• third person singular

It comes from explico, explicare, meaning to explain or to unfold/make clear.

The -t ending tells you the subject is he/she/it. Since the subject here is magistra, it means she explains.

Latin usually does not need a subject pronoun when the verb ending already shows the person and number.

Since explicat means he/she/it explains, Latin can leave out ea (she). The noun magistra already tells you who the subject is.

So Latin often says simply:

• Magistra ... explicat = The teacher explains ...

rather than adding a separate pronoun.

Clare is an adverb, and it modifies explicat.

It means clearly, so it tells you how the teacher explains.

• clare explicat = explains clearly

This is a common Latin adverb formation: an adjective can become an adverb, often with -e in this declension pattern.

Latin word order is much more flexible than English word order because the case endings show each word’s role.

In English, word order is crucial:

• The teacher explains the plan to the students

In Latin, the endings already show:

• subject
• direct object
• indirect object

So Magistra discipulis rationem clare explicat can be rearranged in several ways without changing the basic meaning, for example:

• Magistra rationem discipulis clare explicat
• Discipulis magistra rationem clare explicat
• Rationem magistra discipulis clare explicat

The different orders can change emphasis, but not the core meaning.

Because the students are not the direct object. The teacher is not explaining the students. She is explaining something to the students.

So Latin distinguishes:

• rationem = the thing explained → accusative
• discipulis = the people receiving the explanation → dative

If you used discipulos, that would make the students a direct object, which would give a different structure and usually a different meaning.

The sentence follows this pattern:

• subject: magistra
• indirect object: discipulis
• direct object: rationem
• adverb: clare
• verb: explicat

So the structure is roughly:

The teacher + to the students + the explanation/plan/reasoning + clearly + explains

Latin often places the verb near the end, which is why explicat comes last here.

No. Ratio has a fairly broad range of meanings in Latin, including things like:

• reason
• method
• plan
• account
• explanation
• system
• way of thinking

So in a sentence like this, the exact English translation depends on context. The important grammar point is that rationem is the thing being explained.

Yes. Both are good English renderings.

Since clare modifies the verb explicat, it means the explaining is done in a clear way. English can express that in slightly different positions:

• The teacher clearly explains ...
• The teacher explains ... clearly

Both reflect the Latin correctly.