How to compare two school classes with a survey?

I am doing research at a school. I want to see what effects a certain teaching method has on the students. For this I have one class which is the control group and another class in which I am applying the teaching method. At the end of the experiment I want to take surveys in both classes and compare them to each other, to see if the teaching method has had any effects on the class. The survey I have made is a 1-5 likert scale. I have 5 questions for each effect. What would be the best way to compare the two classes? What tests would I have to run etc. Would it work if I compute mean scores over similar questions for each effect, and then to perform a chi square test/mann Witney u test?