Kate didn't go to school because the bad cold

because跟句子，because of跟名词或动名词

Kate didn't go to school because outside is cold.
你这里意思没写对。你写的是Kate 没去学校，因为坏冷。。。不知道你写的是啥

我改了的意思是Kate没去学校，以为外面很冷。

kate didnt go to school because of the bad cold

"beacause是连词,后接句子,其应换为介词"beacauseof.或beacauseshecaughtbad...

because后面加of。