Download A2T S2 Trigonometry - Glenbard High School District 87

 Course Title: Algebra II (ICA) Unit: Trigonometric Ratios and Functions Glenbard District 87 Unit Title: Angle Measures, Unit Circles, and Trigonometry Stage 1 – Desired Results Established Goal(s):What relevant goals (e.g. Content standards, course or program objectives, learning outcomes, etc.) will this address? F-TF.1. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
F-TF.2. 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.
F-TF.3. Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use
the unit circle to express the values of sine, cosines, and tangent for x. Understanding(s): Students will understand that… 1. there is a need and method to solve a right triangle. 2. a reference angle is used to evaluate various angle measures. 3. the Law of Sines and Cosines will be used in solving a variety of triangles. 4. angles of elevation and depression are used to model real world situations. 5. the 6 trigonometric ratios for particular angle measures can be evaluated (may use Unit Circle). Essential Question(s): What provocative questions will foster inquiry, understanding, and transfer of learning? 1. How does radian measure differ from degree measure? 2. How are trigonometric functions evaluated at any angle? 3. When and how are trigonometric functions/relationships used in the real world? Knowledge: Students will know… 1. acute angles in right triangles have trigonometric values associated with them. 2. the six trigonometric ratios are Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent. 3. the reciprocal ratio of Sine, Cosine, and Tangent. 4. angles can be found through the use of inverse trigonometric functions. 5. the significance of reference angles. Skills: Students will be able to … 1. evaluate the six trigonometric functions of an angle of a right triangle. 2. convert angles between degree and radian measure. 3. evaluate the six trigonometric functions using reference angles with/without a calculator. 4. use trig inverses to find an angle with/without domain restrictions. 5. set up and solve a trigonometric model that represents a real-­‐world application problem. 6. determine angle measures that are coterminal with each other. 7. use the law of sines or cosines to solve a variety of triangles.