The George Washington Problem/The High Noon Problem. The Big Dog Problem When Peg and Cat must mail some important letters for Peg's Mom, they find their path to the mailbox blocked by a really big dog. Primary Learning Goal: Height. Secondary Learning Goal: Direction, sets that can’t be divided equally. / The Three Friends Problem When Peg and Cat are playing with their new friend the Big Dog, Cat becomes strangely quiet. Using a graph, Peg attempts to figure out what's wrong with Cat. Primary Learning Goal: Bar graphs. Secondary Learning Goal: More, less.