Αυτό το μάθημα έχει μεγάλη αξία για το μέλλον μου.

In Greek, this/that + noun normally uses:

• a demonstrative: αυτό = this
• plus the definite article: το = the

So αυτό το μάθημα literally looks like this the lesson, but that is the normal Greek structure for this lesson.

You will see this pattern very often:

• αυτό το βιβλίο = this book
• αυτή η μέρα = this day
• αυτό το σπίτι = this house

So the article is not extra here; it is part of the standard construction.

Because μάθημα is a neuter singular noun.

Greek words change form to match the gender, number, and case of the noun. Since μάθημα is neuter singular, the demonstrative and article must also be neuter singular:

• αυτό = neuter singular this
• το = neuter singular the
• μάθημα = neuter singular noun

Compare:

• αυτό το μάθημα = this lesson/class
• αυτή η αξία = this value
• αυτός ο δάσκαλος = this teacher

So the forms are chosen by grammatical agreement.

Μάθημα can mean several related things depending on context:

• lesson
• class
• school subject
• sometimes even course

In this sentence, the most natural English translation is probably This lesson or This class, but This course could also work if the wider context is about a larger unit of study.

So the Greek word is a bit broader than a single fixed English word.

Yes. Έχει is the 3rd person singular present of έχω, meaning to have.

So:

• Αυτό το μάθημα = This lesson
• έχει = has
• μεγάλη αξία = great value

Literally: This lesson has great value...

Greek often uses έχω αξία / έχει αξία in the sense of have value, be valuable, or matter.

Yes, but the meaning is slightly different.

• έχει μεγάλη αξία = has great value
• είναι σημαντικό = is important

They are close in meaning, but not identical.

Έχει μεγάλη αξία emphasizes value/worth/usefulness.
Είναι σημαντικό emphasizes importance.

So this sentence sounds a bit more like:

• This lesson is very valuable for my future rather than simply
• This lesson is important for my future

Because αξία is a feminine noun, and the adjective must agree with it.

• μεγάλη = feminine singular
• αξία = feminine singular

So they match.

Compare the adjective μεγάλος / μεγάλη / μεγάλο:

• μεγάλος = masculine
• μεγάλη = feminine
• μεγάλο = neuter

Since αξία is feminine, Greek uses μεγάλη αξία = great value.

It is the direct object of έχει, so functionally it is in the accusative.

A useful detail: for many feminine nouns like η αξία, the nominative singular and accusative singular look the same in Modern Greek:

• nominative: η αξία
• accusative: την αξία

Without the article, the noun form itself is still αξία.

So in this sentence, αξία is the object of has, even though its form looks the same as the dictionary form.

Because Greek often leaves out an indefinite article in cases like this.

English says:

• has value
• has great value

Greek similarly says:

• έχει αξία
• έχει μεγάλη αξία

There is no need to add something equivalent to a here. Greek does have ways to express indefiniteness, but in this kind of sentence it is very natural to use the noun without an article.

No. Αξία can mean:

• value
• worth
• importance
• merit

It can be about money, but very often it is abstract.

In this sentence, it clearly means something like:

• worth
• importance
• value in helping me later

So μεγάλη αξία για το μέλλον μου means the lesson is very useful or meaningful for the speaker’s future.

Here για means for.

So:

• για το μέλλον μου = for my future

This expresses relevance or benefit with respect to the future. In other words, the lesson has value in relation to the speaker’s future life, plans, or success.

It does not mean physical direction. It means something like:

• beneficial for my future
• valuable when I think about my future

In Modern Greek, possessive words like μου (my) commonly come after the noun:

• το βιβλίο μου = my book
• η φίλη μου = my friend
• το μέλλον μου = my future

That is the normal everyday pattern.

So although English puts my before the noun, Greek usually puts μου after the noun.

It can mean different things in different contexts, but here it means my.

Greek μου can function as:

• to me / for me
• my

In το μέλλον μου, it is possessive: my future.

You can tell from the structure:

• article + noun + μου
• το μέλλον μου

That pattern is the normal possessive construction.

Yes, you could. Greek word order is more flexible than English.

Both are correct:

• Αυτό το μάθημα έχει μεγάλη αξία για το μέλλον μου.
• Το μάθημα αυτό έχει μεγάλη αξία για το μέλλον μου.

The first one is probably more neutral and common in everyday speech.
The second can sound a little more marked or slightly more formal/emphatic, depending on context.

So the original sentence is very natural, but alternatives are possible.

A rough pronunciation guide is:

AF-to to MA-thi-ma E-hi me-GA-li a-KSI-a ya to ME-lon moo

A slightly more careful breakdown:

• Αυτό → af-TO
• το → to
• μάθημα → MA-thi-ma
• έχει → E-hi
• μεγάλη → me-GA-li
• αξία → a-KSI-a
• για → ya
• το → to
• μέλλον → ME-lon
• μου → moo

The written accent marks show the stressed syllable:

• αυτό
• μάθημα
• έχει
• μεγάλη
• αξία
• μέλλον

Yes, depending on context, that could be a good natural translation.

The Greek sentence does not force only one English version. Possible translations include:

• This lesson has great value for my future.
• This class is very valuable for my future.
• This subject is very useful for my future.
• This course is important for my future.

The exact best translation depends on what μάθημα refers to in the real situation.

Yes. It is very natural Greek.

Common related expressions include:

• έχει αξία = it has value / it matters
• μεγάλη αξία = great value
• ιδιαίτερη αξία = special value
• τεράστια αξία = enormous value

So this sentence sounds standard and idiomatic, not awkward or overly literal.