Magistra plane explicat, ut omnes discipuli intellegant.

The main clause is:

Magistra plane explicat
= The teacher explains clearly

The subordinate clause is:

ut omnes discipuli intellegant
= so that all the students may understand / understand

The word ut introduces the subordinate clause.

Magistra is nominative singular, because it is the subject of explicat.

So:

• magistra = the teacher as the person doing the action
• explicat = explains

A native English speaker may not notice this at first, because English mostly relies on word order, but Latin shows the subject’s role by its case ending.

Here plane is an adverb, and it means something like clearly, plainly, or thoroughly.

It modifies explicat, telling us how the teacher explains.

So:

• explicat = explains
• plane explicat = explains clearly

This is not the English noun plane. It is a completely different word.

Explicat is:

• 3rd person singular
• present tense
• active voice
• indicative mood

So it means she explains or the teacher explains.

The ending -t tells you it is he/she/it.

Latin often does not need a separate subject pronoun like she, because the verb ending already shows the person and number.

Latin usually leaves out subject pronouns unless they are needed for emphasis or contrast.

Because explicat already means she explains or he explains or it explains, the subject can be understood from:

• the verb ending
• the noun present in the sentence

Here magistra already tells us who is doing the action, so no separate ea is needed.

Here ut means so that.

It introduces a purpose clause: it shows the purpose of the teacher’s explaining.

So the sense is:

The teacher explains clearly so that all the students understand / may understand.

This is one of the most common uses of ut in Latin.

Because after ut in a purpose clause, Latin normally uses the subjunctive.

So:

• ut ... intellegant = so that ... may understand / will understand in the intended sense

This is not just a plain statement of fact. It expresses the aim or intention behind the teacher’s action.

If it were intellegunt, that would be indicative, and it would not fit the normal grammar of a purpose clause.

It is most naturally a purpose clause.

Why? Because the sentence describes an action done with an aim:

The teacher explains clearly in order that all the students understand.

A result clause usually says what actually happens as a result, often with clues such as:

• tam
• ita
• sic
• adeo
• tantus

Those are not present here. So the most straightforward reading is purpose.

Intellegant is:

• 3rd person plural
• present tense
• active voice
• subjunctive mood

It means they may understand or simply they understand in a purpose-clause sense.

The ending -nt shows they, and the subjunctive vowel pattern helps mark it as subjunctive rather than indicative.

Because omnes discipuli is the subject of intellegant.

Inside the ut clause, the students are the ones doing the understanding.

So:

• omnes = all
• discipuli = students
• omnes discipuli = all the students

They are not the object of explicat. The teacher is not explaining the students. Rather, the teacher explains so that the students understand.

Because the phrase needs to be:

• plural
• masculine
• nominative

to match discipuli as the subject of intellegant.

So:

• discipuli = nominative plural, students
• omnes = nominative plural masculine, all

They agree with each other in case, number, and gender.

Omnes discipulos would be accusative plural, which would make them a direct object, not the subject.

Because omnes is an adjective meaning all, and it modifies discipuli.

Latin word order is more flexible than English, so you could potentially see the words arranged differently. But omnes discipuli is a very normal and clear order.

The important thing is not only the position, but also the matching endings, which show that the words belong together.

Yes. Latin word order is relatively flexible.

For example, the sentence could be rearranged in various ways without changing the basic grammar, because the endings show the relationships:

• Magistra plane explicat, ut omnes discipuli intellegant
• Ut omnes discipuli intellegant, magistra plane explicat
• Plane magistra explicat, ut omnes discipuli intellegant

However, different word orders can slightly change emphasis. The given sentence is straightforward and natural.

Because the two clauses do different jobs.

In the main clause:

• Magistra plane explicat
• this is a simple statement of fact
• so Latin uses the indicative

In the subordinate clause:

• ut omnes discipuli intellegant
• this expresses the purpose of the action
• so Latin uses the subjunctive

This contrast between indicative in the main clause and subjunctive in the purpose clause is extremely common in Latin.

No. Ut has several common meanings in Latin, depending on context.

For example, it can mean:

• as
• when
• so that
• sometimes, in other constructions, something like that

But in this sentence, because it is followed by a subjunctive verb and expresses purpose, ut means so that.

Classical Latin normally spells this verb as intellego, intellegere, so intellegant is the classical form.

You may sometimes see forms influenced by later spelling habits, but intellegant is the standard classical spelling.

So here:

• intellegant = correct classical spelling
• from intellego = understand

Yes. Since the meaning is already known, the main point is that Latin and English do not always match word-for-word.

Good translations might include:

• The teacher explains clearly so that all the students understand.
• The teacher explains clearly so that all the students may understand.
• The teacher explains clearly in order that all the students understand.
• The teacher explains very clearly so that all the students can understand.

The exact English wording may vary, but the Latin grammar stays the same.