I always find RP in trainings to be tiresome, so let's do it OOCly please.
The kenjutsu, or as known alternatively "the way of the sword" (this sounds way cooler), is the art of using the deadly, yet fragile weapon which is the sword. This art's origin mainly lies in the early centuries of Japan, specifically the Edo Period, which was heavily samurai populated. The samurai, who is the first person to use the sword, invented this art for one purpose which is known worldwide: to kill. But is this the only use a sword consists? Obviously no.
Let's get back at it. By performing different body maneuvers, you can also give different shape attacks with the sword. In the Naruto Verse, Kenjutsu can be used in combination with chakra, which is raw chakra fueling, elemental chakra applying etc. One of the most distinct art that goes the most with Kenjutsu, is the body arts, which is known as Taijutsu. If one is skilled in Taijutsu, he may as well as excel in Kenjutsu, and vice versa I believe.