Description: It is part 1 of a 2-semester sequence intended for students majoring in "Math with a Teaching Concentration". This is my first time teaching this sequence, and if you have certain expectations based on other students' experience with this course, you might find that this one is organized somewhat differently.
My assumption is that the students taking this sequence genuinely intend to teach math in grade school, and so our common goal will be to make sure that you are well-prepared for this hard but noble endeavor.
In particular, we will indeed, as the title of the course suggests, study mathematics of a typical for the US secondary school curriculum: Algebra 1, Geometry, Trigonometry, and Algebra 2. Yet, we will do so using textbooks intended for grade school students (rather than their teachers), and hopefully only those textbooks which have been internationally recognized as superb (which unfortunately become harder to find at the higher end of the curriculum, at least in English).
Namely, for Algebra 1, we will use the cute little book Algebra by I. Gelfand and A. Shen and for Geometry, my own English adaptation of the time-tested classics: Planimetry (in 2D) and Stereometry (in 3D) by Andrei Kiselev.
However, studying high school mathematics will be only one of our goals. We will also revisit elementary math starting from grade K, and learn to appreciate its subtleties. The "Primary Math" curriculum from Singapore will help us with this task, as well as the book Arithmetic for Parents by a mathematician with Erdos number 1, Ron Aharoni, based on his experience of teaching in elementary school.