Units Overview
Unit 1 - Introduction to Trigonometric Functions: Students will use the unit circle to extend the domain of trigonometric functions to include all real numbers. Students will develop understanding of the radian measure of an angle, graph trigonometric functions, and derive and apply the Pythagorean identity.
Unit 2 - Trigonometric Functions: Building on standards from Unit 1, students extend their study of the unit circle and trigonometric functions. Students will create inverses of trigonometric functions and use the inverse functions to solve trigonometric equations that arise in real-world problems.
Unit 3 - Trigonometry of General Triangles: Building on standards from Unit 1 and Unit 2, students will apply trigonometry to general triangles. Students will derive the trigonometric formula for the area of a triangle and prove and use the Laws of Sines and Cosines to solve problems.
Unit 4 - Trigonometric Identities: Building on standards from the first three units, students will prove and use addition, subtraction, double, and half-angle formulas to solve problems.
Unit 5 - Matrices: Students will perform operations on matrices, use matrices in applications, and use matrices to represent and solve systems of equations.
Unit 6 - Conics: Building on standards from previous courses, students will derive the equations of conic sections (parabolas, ellipses, and hyperbolas). Students will solve systems of a linear and quadratic equation in two variables.
Unit 7 - Vectors: Students will extend their understanding of complex numbers and their operations through graphical representations. Students will perform operations on vectors and use the operations to represent various quantities.
Unit 8 - Probability: Students will extend their study of probability by computing and interpreting probabilities of compound events. Students will calculate expected values and use them to solve problems and make informed decisions.