I take the stairs to go up to the classroom everyday.
always: いつも, everyday: 毎日.
take the stairs / climb the stairs: 階段をのぼる.
I always take the stairs up to the classroom.
"階段を上って教室に上がる" という意味です.
I take the stairs to go up to the classroom everyday.
"階段を上って教室に上がるのを毎日しています" という意味です.