August's family decides to name the puppy Bear because Mom thinks he looks like a bear cub. She lets August and Via stay home the next day so they can play with Bear. August and Via have a great time together hanging out, which they haven't done much of since August started school.
When August and Via have fun together staying home, it shows that they'll also need to reevaluate their relationship with each other as they grow and develop. Bear helps this along by giving them something common to relate to.