Meets G1 in Rm 23
Course Overview
This College Prep Course is an extension of Pre Calculus A applied to the trigonometric functions. Other topics include trigonometric identities, non right triangle trigonometry, series and sequences, an introduction to limits, and probability. A graphing calculator is required and a TI-84 is used in instruction.
Course Expectations
Students are expected to comply with the MHS Code of Cooperation.
Standards Covered
Unit 4: Trigonometric Functions
Unit 5: Analytic Trigonometry
Unit 6: Solving Non-Right Triangles in Problem Situations
- UC #1: Understand the radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
- UC #2: Understands 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 circle.
- UC #3: Use special triangles to determine geometrically the values of sine, cosine, and tangent for π6, π4, π3 and use the unit circle to express the values of sine, cosine and tangent for x, π±x, 2π±x.
- TF#1: Use trigonometric functions to model periodic phenomena with specified amplitude, frequency and midline.
- TF#2: Understands the key features of the graphs of periodic functions.
- TF#3: Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
- TF#4: Understand how to solve trigonometric equations with argument x. Is skilled at using algebraic techniques and inverse functions to solve trigonometric equations.
- TF#5: Understand how to solve multi-angle trigonometric equations.
- GME #12: Understand and apply formulas to find the area of a sector, arc length, linear speed, angular speed.
Unit 5: Analytic Trigonometry
- TI#1: Skilled at rewriting trigonometric expressions and solving trigonometric equations using the quotient identity, reciprocal identity, Pythagorean identities and cofunction identities.
- TI#2: Can use the Pythagorean Identity in problem solving situations.
- TI#3: Is skilled at rewriting trigonometric expressions and solving trigonometric equations using the even/odd identities and sum and difference formulas.
- TI#4: Is skilled at rewriting trigonometric expressions and solving trigonometric equations using the multiple-angle formulas, power-reducing formulas, half-angle formulas, and product-to-sum formulas.
Unit 6: Solving Non-Right Triangles in Problem Situations
- GME #13: Is skilled at finding the area of a non-right triangle using trigonometry.
- GME #14: Understands and applies the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.