I have an object falling to the ground and breaking into pieces, but my plane, which is a passive rigid body, allows many pieces to pass through it:
Why is this happening and how can I fix it?
Planes are notoriously bad objects to use as solid collision objects. I would suggest to use a cube, with a cube bounding box.
You can add a collision margin on the plane (the passive rigid body).
Also, increasing the number of simulation steps per frame from the rigid body properties panel in Scene properties tab will give you better results.
In the Rigid settings pannel, if you are using a plane or a cube, change the default Convex Hull in Collisions shape to box, so it simulates the collision of a cube