**Triangles**

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**

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.

**Trigonometric Functions**

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.

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