Create a flipped classroom model for a high school mathematics class. Include pre-class activities such as video lectures, followed by in-class problem-solving sessions. Design homework assignments that reinforce the flipped learning model, and provide methods for assessing student progress. 
<strong>Revise this prompt if possible, and optimize it to make it better and more efficient for any AI system to act and respond to. 
If possible run your optimized version.</strong>