Carolann,
Please note that the Moon can be seen at night some of the month – the Full Moon is only visible at night since it rises at sunset and sets and sunrise. All other phases can be seen in the daytime as well as when it is dark.
Today’s Moon is visible right now, in the west.
Linking to maths and shapes is a great way to include the Moon in your teaching.
The surface of the Moon and how we weren’t too sure what it is like is an interesting bit of space history. You can read about this here: https://airandspace.si.edu/stories/editorial/moon-before-we-knew