As a toddler, you cannot choose which skill points you get. There are only 2 games available at this stage: Jumping Rope and Mimic, which offer random points. However, you can get additional social (friendly) skill points from feeding your character sandwich and grapes (1 point), corn (2 points), and bananas (3 points).
During the teen stage, SHAPE gives you intellectual points, DANCE gives you artistic points, and FLAG gives you social points.