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.
The definition of the unit system and common prefixes.
How to use the distance formula to derive the equation for a circle.
How to use and convert scientific units.
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counter-clockwise.
How to express a vector algebraically in terms of the unit vectors i and j.
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 calculate the area between a square and an inscribed circle.
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
How to find the length of tangent segments drawn to a circle from the same point.
How to define a circle and a sphere using the word locus.
How to define circumscribed and inscribed circles and polygons relative to each other.