High School Geometry - the kids watch the lectures and I correct the problems that are in the guidebook which they complete immediately following the lecture. The next day we break out Harold Jacob's Geometry and to the corresponding lesson/s usually sets 1 and 2, sometimes if there is a lot since they've already done 10-12 problems from the guidebook, I'll assign odds.. Many times they do not need my help, sometimes they do. There are, if memory serves, 32 lectures and I use the chapter exams in Jacob's as well or at least tweak them to fit along with the lecture series. We spread it over one semester and that seems to be fine for them because my guys take to proof writing pretty readily. If they struggled, then I would definitely take two semesters.
Algebra 1 - I teach the first four chapters of Lial's Beginning Algebra very intensively, sometimes even breaking a lesson into two parts and being very, very thorough. After that they do the corresponding lectures and problems in the guidebook for review. If they do well, then they can continue with the lectures - I remediate and make sure they understand the concepts - and add 20 - 30 problems from the book to each lecture so they get enough practice. I use the chapter exams in Lial's to create quarterly and semester exams. I do the same for Algebra 2, I will do a brief review of algebra 1 IF we chose to break it up with geometry in between. DD and middle boy did the algebra's back to back, eldest boy really wanted an algebra break and completed geometry in between....he's artistic and LOVED geometry. After that, I am available for any kind of help they need, but using the lectures - Dr. Sellers is very good at explaining concepts - has allowed me to juggle teaching three high schoolers at one time who are not in the same math at the same time, and rarely anything at once. History is the only thing I've managed to stream line for the three of them to study together.
History - We use the lecture series, History of the World from the Fertile Crescent to the American Revolution as an add on to our AP World History - World's Together, World's Apart. Professor L is an interesting lecturer, and well, he spices things up by dressing in period garb and lecturing in terrible fake accents. It's kind of a riot. His toga and laurel wreath outfit is a stitch! It just helps because AP texts are pretty dry all things considered. We use some of the essay questions from the guidebook in addition to the questions and chapter reviews in the text, and they take notes on every lecture. That's a biggie for me. I want them to learn to take notes during a lecture and maintain a notebook that aids in studying for exams or producing writing assignments.
Science - Introductory Astronomy for high schoolers hasn't been easy to find. I use the astronomy videos plus Night Sky in combo with assignments that I hand created along with assignments from MIT's opencourseware Solar System/Planets syllabus. It's a three way combo, and includes a night sky viewing notebook. It really helped my youngest get quite adept with out 8" telescope. That said, I have to be flexible because Michigan is not one of the better viewing states. It's entirely possible to have only one or two decent nights in a single month.
Fine Arts - We used How to Listen to and Understand Music with out oldest boy and it was a really great series which I combined then with required concerts to either attend and review or watch on PBS. He kept a lecture notebook as well as wrote reviews and some other light writing assignments.
Masterpieces of Louvre went with Sister Wendi videos combined with Jenkins' "History of Art for Young People" for a credit of Art History. Lecture notes, comparison and contrast essays, and a couple of short papers comprised the bulk of the work along with trips to the DIA and CIA with writing assignments connected to those trips, and doing some artwork through the DIA's "Drawing in the Gallery" program. It was a lot of reading plus the lecturing so with the assignments plus the very high quality of ds's essays, I felt very comfortable giving him a whole credit though I have to admit it was not difficult work for him to complete and didn't take two full semesters to complete.
Next year we will use their Economics course as a social studies elective along with the half credit of American Government. I have a couple of simple texts to use for these courses and will supplement with the lectures.
Also, new for next year, is a couple of literature and composition courses. Eldest ds decided to switch his major to English and since he's a senior this fall and had previously been STEM headed so he had a heavy science and math transcript, I needed to change course rapidly and make sure he's up to speed. So, he'll utilize two of their courses PLUS he'll take College Writing at the CC (the good one an 1 + away from here), and he'll have an art appreciation course at the same CC, a course that is known for being writing heavy. I'll post reviews next year when I get done and let you know what I think of those lecture series.
Apart from that, we just really like the lectures as a family so we've been known to pop in comparative religion lectures, or medieval history, or ....and just watch together as a family.