This is the 7495th most frequent Russian word.
детям
"Детям" means "to children" in English.
In this sentence, "детям" is the dative plural form of "child" (ребенок), used to indicate the indirect object of the verb "подарили" (gave).
Мы подарили игрушки детям.
We gave toys to the children.
Here, "детям" again serves as the dative plural form of "child," acting as the indirect object receiving the benefits of the explanation.
Учитель объяснил задачу детям.
The teacher explained the task to the children.
In this example, "детям" is used in the dative case to specify the group of people (children) to whom an action (speaking) is directed.