Much of the work we will do is based on material that is available on my Web site. On most topics, there are more curriculum files available on the site than you have in your binder, sometimes many more. You'll also find teacher notes, some answers / solutions, and pedagogical / philosophical notes there. Here are some links:

Henri Picciotto's Math Education Page
Iterating Functions
Teachers' Mathematics (for Staircase Sums, and more)
Algebra: Themes, Tools, Concepts (for sequences / series, and more)
Electronic Graphing (for Rolling Dice, Super-Scientific Notation, Graphing Square Roots, and more)
The 10cm Circle (for Slope Angles, and more)

Function Diagrams (including TI-83, 84, 89 programs, and GeoGebra files)
Geometry of the Parabola (including a link to the Cabri 3D file)
Doctor Dimension (see also a blog post on Doctor D, comparing it with "Water Line", a great Desmos activity.)
Space (more on complex numbers, and other stuff)
Infinity (for Iterating, Chaos, Mathematical Induction, and more)


Chaos, by James Gleick, has many great examples of how dynamical systems are found in the real world, and a good explanation of the math in the non-linear case. When I teach this material, I have students read a couple of chapters from it. (See the link above for the Infinity elective.)

Paul Foerster's books (Algebra 1, Algebra and Trigonometry, and Precalculus) are where I was introduced to modeling, in the sense of getting the formula from the data rather than vice versa. The strength of his approach to modeling is that he has many, many wonderful real-world examples. The weakness, in my view, is that the problems are overly guided, and proceed in the wrong direction, with graphing at the end. (I encourage students to start with a table and a graph.) Similarly, he presents the modeling sections after introducing the functions, while to me it makes more sense to start with an anchor modeling problem, then introduce the functions more formally, then go back to modeling problems. Nevertheless, the modeling sections in his books are a tremendous resource.