Excellent essay, thanks for posting. One interesting portion:
"A good deal of the curriculum in AP Precalculus, such as inverses of functions, polynomials, exponential, and logarithms are covered in Algebra II Honors, and so are quickly glossed over in the first couple units of Precalculus Honors."
This is a major weakness of using AP Precalculus for stronger math students. The AP Precalculus Framework lists expected prior knowledge & skills. No where do logs appear as a prerequisite; this is a standard concept covered in honors Algebra 2.
https://apcentral.collegeboard.org/courses/ap-precalculus/course-framework Also, the College Board said any Algebra 2 class qualifies a student for AP Precalculus which appears to say non-honors Algebra 2 is fine preparation. "AP Precalculus is for any student seeking a third- or fourth-year mathematics course following completion of both Geometry and Algebra 2, or Integrated Math 3. Students who’ve taken these courses
at any level have covered all the content necessary for AP Precalculus." (emphasis added)
https://apcentral.collegeboard.org/courses/ap-precalculus/about-ap-precalculus
What is the net of these points? AP Precalculus's content was watered down so that students taking non-honors Algebra 2 and who have never seen logs could nonetheless take AP Precalculus. That is why the course emphasizes Algebra 2 concepts so heavily at the expense of other concepts useful in preparing students for calculus. Furthermore, the course appears to recommend use of inquiry learning through real world applications, which will slow course pacing down even further.
It is baffling why a watered down Precalculus course designed for students taking non-honors Algebra 2 is being used as a replacement for honors Precalculus.