How to use the distance formula to derive the equation for a circle.
How to find the doubling time of a population when the growth rate is given.
How to derive the area of a segment formula.
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 define periodic functions.
How the values of A and B affect the shape of the graph y = A sin(Bx).
How the value of h affects the shape of the graph y = A sin(B(x-h)).
How to use inverse trig functions to find angles in right triangles.
How to derive the formula to calculate the area of a sector in a circle.
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to use the ASA and AAS shortcuts to determine the congruence of two triangles.