The family consisting of the father, mother, children, and grandparents is typically referred to as the "extended family." The term "extended family" is used to describe a family unit that includes not only the parents and their children (nuclear family) but also other close relatives such as grandparents, aunts, uncles, and cousins.
The "family tree," on the other hand, is a visual representation of a person's family lineage and ancestry. It usually includes multiple generations and can show the relationships between family members, both living and deceased. A family tree may include information about the nuclear family as well as the extended family members, tracing the connections and branches of the family over time.
In summary, the family consisting of the father, mother, children, and grandparents is an example of an extended family. A family tree is a diagram that illustrates the family's lineage and connections over multiple generations.