The answer is: personal connections.
If we take this except “Mrs. Valenzuela touched countless lives. She reached out to her students and taught them about history. Every lesson was offered with lively insight. She reached out to her peers and made them smile. The workroom echoed with laughter when Mrs. Valenzuela was around. She reached out to her family members and gave them unconditional love.” We can see that the most repeated word is “reached” the author wanted to emphasize that she talked, come to, get to many people to show her personal connections.