I quickly passed over state schools and southern schools, believing their curriculums to be automatically inferior to northeastern or western counterparts.
1. Pass over：忽略;curriculum：课程;inferior to：次于/不如;counterpart：对应的人/物
2. I quickly…schools, 为本句的主干，pass over谓语动词
3. Believing…为动词ing形式的短语做状语，到counterparts处结束，修饰整个主句
4. 翻译：我快速地忽略了州立学校和南方的学校，认为他们的课程自然而然的不如北方的或者是西方的学校
