A surgical sagittal saw blade with first and second elongated openings. The openings have major axes that are angled relative to each other. The openings are arranged to receive draw for pivoting a blade in a sagittal plane. Each opening receives a separate drive member integral with the saw to which the blade is mounted. The action of one drive member in a first opening results in the proximal to distal reciprocation of the blade. The action of a the second drive member in the second opening results in the back and forth pivoting of the blade around an axis that extends through the plane of the blade. The blade has a constraining feature that engages a complementary constraining feature integral with the saw. The engagement of the constraining features limits the reciprocal and pivotal movement of the blade.