How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
How to define a central angle and find the measure of its intercepted arc; how to describe the intercepted arcs of congruent chords.
How to define a secant; how to find the length of various secants in circles.
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
How to define the components and length of a position vector in three dimensions.
How to calculate the measure of an inscribed angle.
How to define a circle and identify its main parts.
How to determine the triangle side inequalities.
How to understand and find the length of waves.
The RFLP method of DNA Fingerprinting.
How to derive the formula to calculate the area of a sector in a circle.
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
How to define the midsegment of a trapezoid, calculate its length, and relate it to a triangle midsegment.
How to find the length of tangent segments drawn to a circle from the same point.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to convert between length and area ratios of similar polygons
How to classify a triangle based on its side lengths and angle measures.
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 express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
How to express a vector algebraically in terms of the unit vectors i and j.