How to derive the formula for the midpoint of a segment in three dimensions.
How to graph parabolas that are wide or skinny or upside down without making a table of values.
How to graph a quadratic equation by hand.
How to solve quadratic equations by factoring.
How to solve a quadratic inequality using a sign chart.
How to graph parabolas with horizontal and vertical shifts without making a table of values.
How to derive two more cosine double-angle formulas.
How to approach word problems that involve quadratic equations.
How to use the shape of a parabola to find a maximum or minimum.
The importance of solving literal equations for a given variable
How to use the power reduction formulas to derive the half-angle formulas.
How to use the discriminant to know the number and type of solutions to a quadratic.
How to derive the distance formula for polar coordinates.
How to identify a conic section by its formula.
How to use the change of base formula for logs to evaluate a logarithmic statement.