What kinds of movements in basketball cause you to tear your meniscus?

Rotation. Meniscus tears occur either a medial or a lateral force directed to a flexed knee. When the foot is planted and the knee is flexed and either internally or externally rotated, the meniscus becomes vulnerable to injury. At this point, the addition of a force applied to the lateral (or medial) aspect of the flexed knee may tear the medial (or lateral) meniscus. Medial tears are more common.
Twisting motions. If the knee is loaded in awkward positions or twisted while weight is applied the meniscus may tear. It is common to tear the meniscus in association with acl tears.