How to use inverses to define the logarithmic function.
How to solve a logarithmic equation by condensing one, or both, sides.
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
How to graph parabolas that are wide or skinny or upside down without making a table of values.
How to convert a polar equation into rectangular form.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to approach word problems that involve quadratic equations.
How to label an angle and how to differentiate between acute, right, obtuse, and straight angles.
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 to identify a kite and its special properties.
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
How to raise a complex number to an integer power using DeMoivre's Theorem.