8.G.3 reads: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Does this standard go as far as students should be able to record these movements in coordinate notation? And…should we go so far as to showing the students the coordinates of the original figure and the coordinates of the image and having them record in coordinate notation what happened to the coordinates?
Are you talking about using matrices, or equations in two variables, to describe the coordinates? I think that is beyond Grade 8. The intent of the standard is that they should be able to give the coordinates of the transformed figure.