The American title for this film was kept as "The Karate Kid", to maintain the connection to the earlier films it is loosely based on, even though this movie takes place in China and the martial arts used are forms of kung fu. The difference is referenced in the film when Dre's mother describes a team as practicing karate, and Dre quickly corrects her.
The director (Zwart) is true to his city's football team. He hides the logo of the soccer team: Fredrikstad Fotballklubb (FFK) in every movie he makes. In this movie you can find it on the champion ship doctor's jacket as a small pin.
For The Great Wall sequences, all the camera equipment had to be hand-carried as helicopters were not allowed. The helicopter shots were finally achieved before sunset. The wait was due to military exercises in the area.
The style of Kung Fu that the woman standing on the dragon's head is practicing (at the temple, before the dragon well) is Crane Style Kung Fu. Practitioners of this style are very adept at balancing on one foot, as a crane does. It is interesting to note that she is controlling a cobra (likely in the same style as a snake charmer). This could possibly be a nod to the original The Karate Kid (1984) in which Daniel defeated a member of the Cobra Kai dojo by using the "Crane technique".
After Dre and Mr. Han climb the mountain, when they enter the temple, we see people in white clothes moving slowly and methodically, as if dancing. The martial art they are practicing is Tai Chi Chuan (literal translation "Supreme Ultimate Fist").
The trivia item below may give away important plot points.
Before the tournament, Han (Jackie Chan) gives Dre (Jaden Smith) a shirt to compete in. Dre comments that the shirt is just like one that Bruce Lee wore. One of Jackie Chan's early breaks in movies was to be a stunt coordinator in Lee's films; Chan also had small parts in The Chinese Connection (1972) (aka "Fist of Fury") and Enter the Dragon (1973).