Standard: F-TF.2

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

Standard: G-C.2

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Standard: G-C.3

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Standard: G-C.4

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Construct a tangent line from a point outside a given circle to the circle.