The older students could work on preparing a questionnaire in class. Then sit with their buddy and ask some questions about favorite things to do, hobbies, reading interests, etc. Share time together, have a snack and the process has begun. Teachers could find a common time for students to read together once a week. This helps younger students to feel comfortable with the older students, will increase reading interest, and help younger students grow in self-esteem.
Older students can learn responsibility as they work with their buddies.
As the older students get to know their buddies, they can choose books that are of interest to their new friends. There will be much benefit gained for the older and younger students. Each team should line up in a row. Make four sections on the chalkboard by drawing 3 vertical lines from the top to the bottom. One person from each team will compete to properly spell words that you call out.