I am very passionate about all this, so I hope this will help.
As you said, yes, Feminism is the idea that males and females should be treated as equals - this means same wages for the same job, same social rules and values, etc. There are many different groups of Feminists (Liberal, Radical, Black...) and they all have different opinions, but they all support the idea that men and women should be treated equally in society.
As you may know, however, the word Feminism doesn't have a good reputation - many associate the concept of Feminism to women hating on men, which is absolutely untrue (the idea that women > men is called misandry).
So, about your debate, I can only give my personal opinion and I do believe Feminism still exists (probably now more than ever). Many people struggle to say that they are Feminists because of the word's reputation, whereas actually each person (and this includes both females AND males) who believe that men and women should be treated just the same economically and socially technically is a Feminist. Your debate could focus on Feminism's real definition and the bad reputation the word holds.
English is not my mother tongue but I hope this will help!