This is the 152nd most frequent Latvian word.
saviem
"Saviem" means "to their own" or "for their own" in English.
In this sentence, 'saviem' is the dative plural form of 'savējais' or related pronoun forms, indicating possession and association with the subject 'I'.
Es iedevu saviem draugiem dāvanas.
I gave gifts to my friends.
Here, 'saviem' indicates the animals belong to the collective group of the speakers, acting again in its dative plural form.
Mēs rūpējāmies par saviem dzīvniekiem.
We took care of our animals.
In this case, 'saviem' shows that the teachers are associated with the group referred to as 'they', and it fits with the prepositional phrase requiring the dative case.