Study up! Here is a handy guide for some common elements you will see in many figure skaters' programs.
There are six types of jump seen in men's and ladies' skating. In order of most to least difficult, they are: Axel, Lutz, flip, loop, Salchow, and toe loop (sometimes shortened to just "toe").
The Axel is the only jump with a forward takeoff. Therefore, a triple, for example, requires three-and-a-half revolutions in the air. This way, the skater takes off going forwards and lands going backwards. It was named for its inventor, Norwegian Axel Paulson.
Skaters take off from the back outside edge and anchor their toe pick to vault into the air. They rotate in the opposite direction as they curve into the jump, and land on the back outside edge of the foot opposite to the launching foot. It was named for its inventor, Austrian Alois Lutz.
The skater takes off from the back inside edge of one foot, using the toe pick for assistance, and lands on the back outside edge of the opposite foot.
The skater takes off from and lands on the same edge and the same foot; it's the only jump to do so.
Skaters take off from the back inside edge of one foot and land on the back outside edge of the opposite foot. It was named for its inventor, Sweden's Ulrich Salchow.
Different than the loop; skaters use their toe pick to assist them into the air. The skater takes off and lands on the same back edge of the same foot.
Twizzles are a series of turns on one foot, and in ice dance, skaters are close together and side by side.
In pairs skating, the man stands as the anchor and pivots in a circle, while the lady lays parallel and low to the ice holding her partner's hand as she rotates around him.
In pairs skating, the man throws his partner into the air and she rotates, landing unassisted.
In pairs skating, the man throws his partner up into the air and she completes up to four revolutions in the air. He catches her before placing her back down on the ice.