How to talk about the rectangular coordinate system.
Vocabulary of origin, axes, quadrants, and carteesian coordinates
How to graph a quadratic equation by hand.
How we identify the behavior of a polynomial graph near an x-intercept.
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
How to determine whether a function f(x) is continuous at a particular point x=a.
How to talk about matrices.
How to talk about polynomials.
How to talk about hyperbolas.
How to define function notation.
How to calculate the composition of functions.
Understanding the differences between rotations and revolutions.