Irrespective of the quality of a school, a child's home life is of key importance.
2018年12月四級真題（第一套）聽力 Section C
柯林斯高階英漢雙解學習詞典釋義
PREP-PHRASE
不考慮…的;不顧…的;不受…影響的
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.