The Polka Dot Planet Problem - Polka Dot Planet. When Peg's space ship breaks down, she needs the help of a new friend who communicates without speaking. Primary Content: Representing numbers using objects and numerals. Secondary Content: Defining two dimensional shapes by number of sides, patterns. The Mardi Gras Problem - New Orleans. To jam with Billie Holiday in the Mardi Gras parade, Peg and Cat must learn to use a diagram of notes - sheet music. Primary Content: Ordinal numbers Secondary Content: Diagrams.