How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
How to define a circle and a sphere using the word locus.
How to define the law of sines.
How to define and use the law of cosines.
How to derive the formula to calculate the area of a circle.
How to derive the equation for a circle using the distance formula.
How to define a circle and identify its main parts.
How to write a good definition that does not have a counterexample.
How to calculate the area between a square and an inscribed circle.
How to define the cosine ratio and identify the cosine of an angle in a right triangle.
How to define the sine ratio and identify the sine of an angle in a right triangle.
How to find the length of tangent segments drawn to a circle from the same point.
How to define circumscribed and inscribed circles and polygons relative to each other.
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 calculate the area of any triangle using two sides and an included angle.
How to use a counterexample to prove a definition or conjecture incorrect.
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 use inverse trig functions to find angles in right triangles.