How to define the focus and directrix of a parabola.
How to talk about a parabola.
How to define a tangent line; how to determine the angle a radius to a tangent forms.
How to graph parabolas that are wide or skinny or upside down without making a table of values.
How to evaluate the tangent of 3*pi/4.
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
How to identify all of the special properties of parallelograms and use them to solve problems.
How to approach word problems that involve quadratic equations.
How to determine the number of diagonals in a polygon.
How to define circumscribed and inscribed circles and polygons relative to each other.
How to define and calculate a space diagonal.
How to use the shape of a parabola to find a maximum or minimum.
How we define optimization problems, and what it means to solve them.
How we define sine and cosine for all angle measures using the unit circle.
How to construct the incenter using a compass and straightedge.
Overview of similarity: congruent angles, proportional corresponding sides