This word is added to the end of many different words, meaning it's treated like most jukugo (and uses an on'yomi reading). You know the on'yomi reading, so you should be able to read this word. Be sure to drop the 〜 when writing in the reading in the test, though. It's only there to show that it's added onto things and not part of the correct answer.
The teacher is going to teach the rules and the methods of Judo.
I'm gonna master the way of sword in Hokkaido.
Could you please explain the difference between bushido and chivalry?