Ninja

In Takemizu Village or custom far-east vacation destinations, sometimes a ninja NPC will randomly teleport into the lot. He'll hop around for a little while, teleporting, and if a sim clicks on him the only option is "Learn to Teleport." If you chose this, the ninja will ask you a question with two answers. This question works like a chance card, where it does't really matter which option you chose, because each has a correct and incorrect possibility. If you are correct, you will gain the ability to teleport.

Teleporting
After correctly answering the ninja's question, a new option will appear when you click on the ground. Along with "Go here" and "Run here" is the option "Teleport here". This is significantly faster that walking. Your Sim will backflip into a puff of smoke and reappear over the destination. They will have this ability forever.