Irrespective of the quality of a school, a child's home life is of key importance.
2018年12月四级真题(第一套)听力 Section C
柯林斯高阶英汉双解学习词典释义
PREP-PHRASE
不考虑…的;不顾…的;不受…影响的
If you say that something happens or should happen irrespective of a particular thing, you mean that it is not affected or should not be affected by that thing.