Schrader participated in his first local Turnfest, a German gymnastics tournament, as a senior in 1895 and his first national one in 1897. After participating at the 1900 national Turnfest, he competed in the 1904 Summer Olympics, where he finished seventh out of thirteen American clubs in the men's team event. Individually he placed 84th in the men's all-around, 68th in the gymnastic men's triathlon, and joint-95th in the athletic men's triathlon. He later held several administrative positions on the boards of various athletic clubs.