Questions: Flirting

I think we all know that many social media networks are used as dating sites or hookup sites on the side. Those who are looking to date or hookup are highly likely to end up being catfished though.

There is no shortage of men catfishing on social media networks, with pictures of hunky men with abs. A lot of women flock to such profiles, especially relatively older women who may not be getting enough attention outside of social media networks.

What about you though? Have you ever been catfished by men with hot profile pictures?

There is a gorgeous girl in my kickboxing class that started a week ago. I have only had two interactions with her:
1. At the end of class, teacher told us to compliment someone so I chose her and one other girl to say good job to (the other girl was not attractive).

2. I asked her name at the end of the next class, and said I liked her tattoo on her back (partially covered). She showed me a pic of the full thing on her phone and we talked a short time (5 min).

Class (#4) is tomorrow. I want to greet her by name with a big smile, but mostly ignore her and focus on the workout. Maybe if I catch her eye once or twice and smile it will be okay, but I don't want to bug her or creep her out. I'm crushing on her hard, and it drives me crazy I'm only getting a chance to interact with her twice a week for about an hour. I really want to ask her but I also don't want to move too fast. I could also message her randomly from our online school portal as students have access to each other to make groups or message. After class, what do you think I should do?