How do we measure sine and cosine of pi/4?
How to derive two more cosine double-angle formulas.
How to define and construct an angle bisector.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
How to describe same side interior and same side exterior angles and their special properties.
How we define sine and cosine for all angle measures using the unit circle.
How to classify a triangle based on its side lengths and angle measures.
How to find the measure of one angle in any equiangular or regular polygon.
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
How to calculate the mean, or average, of a list of numbers.
How to calculate the median of a data set.
How to find the mode of a data set.
Understanding how charge is transferred through an electroscope.
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.
How to define a tangent line; how to determine the angle a radius to a tangent forms.