Triangles 1: I can use similarity to define trigonometric ratios as properties of the angles in a triangle.
Triangles 2: I understand the relationships between different trigonometric ratios.
Triangles 3: I can apply trigonometric ratios and the Pythagorean Theorem to solving problems involving right triangles.
Triangles 4: I can use special triangles to determine geometrically the values of sine, cosine and tangent for angles of 0, 30,45, 60 and 90 without a calculator.
Circles 1: I understand the derivation for the equation of a circle on the coordinate plane.
Circles 2: I can derive the value of pi, and I understand the development of this number from a historical perspective.
Circles 3: I can use similarity to define radian measure as the constant of proportionality between arc length and the radius, and I can use this definition to calculate arc length and sector area.
The Unit Circle
Unit Circle 1: I understand why the radian measure of an angle is equivalent to the length of an arc on the unit circle.
Unit Circle 2: I can use the unit circle to extend the definitions of trigonometric functions to all real numbers.
Trig Functions 1: I can graph trigonometric functions with and without a calculator.
Trig Functions 2: I can use trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.