Hello BulletConsumer, and
.
There is another quantitative statistic that you can incorporate. You can plot the percentage of the lunar cycle of each observation you make (if you take the 'start' of a lunar cycle being New Moon) and compare it to the illuminated percentage (which you can see on the left margin of this page). You will see the eb and flow of the illumination vs cycle.
If you have access even to a modest telescope, you may want to do some sketches of the 'Terminator' on the Moon. The terminator is the 'line' that creeps across the Moon's face marking out the light and dark. You may notice the change in the elongation of the surface shadows as the terminator moves across the Moon that has to do with the relative position of the Earth to the Moon. Do these sketches with a gap of a few days between observation. You only need to sketch a small area to do this, say, following the equator. This is best seen with the highest practicable magnification of the telescope you use. A lunar atlas/map may help you to keep track of the equator during your observations.
Good luck.
Alex.