Board Thread:Speculation House/@comment-32347396-20170914114920/@comment-26397825-20170923112517

In Volume 3, during the episode Destiny, Jaune does state that he told his parents he was going to Beacon. From the transcript:

Jaune : ( looks back to Pyrrha and takes a seat next to her ) You were the first person to ever believe in me, you know that? ( he manages to get her to look at him as he laughs in sadness to himself ) Even when I told my parents I was going to Beacon, they told me not to worry if I ended up having to move back home. How depressing is that?

Basically he told them but they didn't really believe he would manage to get in. They probably even waved him goodbye on the airship, and said "Sure, we don't mind you taking Croceas Mors." because they expected him to fail initiation and come back home afterwards. So him passing and getting into the school was pretty much more than they ever expected of him.