We did that. My spouse speaks native Korean, I speak Tagalog as a second language (English native), and our kids only know English. I think Tagalog is quite useless so I haven't bothered teaching them, but my spouse has no excuse. I speak a little German, but not enough to teach them, just enough to curse while driving.

I've resorted to learning Spanish with my kids, which is at least useful, but I'm sure I'm teaching the wrong.