Welcome to the standard romantic comedy high school setting anime. The main character is a very cold girl named Shizuku Mizutani who has no interest in anything but studying. She's nicknamed "Dry ice" because of her cold behavior. Our other main character is Haru Yoshida, who sits next to Shizuku but never attends school. After Shizuku is asked to deliver class handouts to him, he greets her as a friend and his innocence and inability to have human interactions somehow touches her. Haru is known for being extremely violent, be he is actual gentle and nice under everything. Haru immediately declares his love for Shizuku and it takes her a bit longer to understand her feelings. The two unsociable characters continue to grow and make friends and we get to watch what happens.
Now I really really liked it at first. It was hilarious, just how cold Shizuku can be and how stupid Haru is. If you want just a standard romantic comedy it was a nice anime to watch. But as all things, at the end of the season I expected more to happen. Hopefully they will have a season two to answer all the unknown questions.