Question: things to do with a 2 year old on a cold day?
Answer: Build an Indoor Play Gym. An indoor play gym helps build essential motor skills and coordination while letting them burn off some of that pent up energy. ... 
Sensory Bins. ... 
Pretend Play. ... 
Museum. ... 
Swim Lessons. ... 
Sledding. ... 
Build a Snow Fort. ... 
Snow Art.