How to beat your teacher at circle tac tac toe.
Vocabulary and formulas for the area of a circle
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
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.
Definitions and notation of ratios, and when we use them
How to graph y = tan(theta) for 0 <= theta < pi/2.
How we define sine and cosine for all angle measures using the unit circle.
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
How to define perimeter and calculate it for squares, rectangles, and circles.
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 define the tangent function for all angles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to derive the formula to calculate the area of a sector in a circle.
How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.