The only part of a school math course I have never taught is geometry. My favorite part of a standard school course :-) I come back to it from time to time in our Math club. But most of my students do not share my passion. Maybe one day I will ask to try to teach it. Not now, I am not ready yet.
BTW I should mention a book that I like. It connects geometry and nature (physics in particular) according to the ideas of a late V. Arnold. This book is Measurement by Paul Lockhart. I do enjoy it, there are many good geometry problems on each page. If you like geometry, open this book, and you will have a lot of fun.
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