It means "What do you need for your English class?"
Necesita escribir en inglés para su clase.
"Para que clase" in Spanish translates to "for what class" in English.
This translates as, "What do I need for my English class?"
La Clase: The Class.
You study a lot for your favorite class.
They study a lot for science class.
For the class.
You need a dictionary for art class.
for the class.
For Spanish class.
Clase consultiva para estudiante.
You have your book for the Spanish class. Depending on context, this ca also be a question, "Do you have..."