I would like to hear how you do your homeschooling. Do you do any online classes?
Our DD8 is homeschooling 3rd grade using standard brick-and-mortar teaching techniques (books, worksheets, writing assignments, etc.), augmented with video, free online content, and projects as DW deems appropriate. With reference to the state's published guidelines on what a 3rd grader should be studying, DW is pretty much making it up as she goes along.
Like most, she felt completely unqualified, but it's all working out very well.
I help out whenever I'm needed.