Learn Farsi: من هم ایرانی‌ام.

It is the "to be" verb ending for "I" (من). While you are currently learning plural endings like -im (we are) and -and (they are), do not forget that the singular "I am" uses the short suffix -am. Here, it attaches to ایرانی to mean "I am Iranian."

Why is there an Alef (ا) in the ام suffix, and why doesn't it connect to the previous letter?

The word ایرانی (Iranian) ends in the vowel sound "i", written with the letter Ye (ی). When you attach a suffix that starts with a vowel (like -am), Farsi uses an Alef (ا) as a bridge to separate the sounds. The tiny gap before it is a "half-space," which stops the letters from joining so the root word remains easy to recognize.

Where should I place هم (also/too) in a sentence?

The word هم almost always comes immediately after the word it emphasizes. Because the speaker is saying that they, too, are Iranian (comparing themselves to someone else who was just mentioned), هم goes right after the subject من (I).

How would I change this sentence to say "We are also Iranian" using the plural pronouns from this lesson?