PRE-CALCULUS AND TRIGONOMETRY HONORS
GRADES 11, 12
1 CREDIT
2 SEMESTERS
1.2 GRADE WT.
Prerequisites: College Algebra Honors; Satisfactory COMPASS placement test score for dual credit in Math 142
Students will graph and analyze polynomial, step, logarithmic,exponential, rational, and trigonometric functions using transformation of graphs with and without the use of technology. Theywill apply trigonometric laws to solve right and oblique triangles.They will apply fundamental trigonometric identities to verify more complex identities. They will identify graphs of trigonometric functions, determine the components of trigonometric functions, and graph conic sections. They will investigate polar and parametric graphs and conversions. They will perform vector computations and use vectors in application problems.
REMARKS: Texas Instrument Graphing Calculator (TI-84 plus or TI-NSpire) is strongly recommended. Students enrolled in this course have a dual credit option to receive college credit from Joliet Junior College.
Curriculum Goals
Goal 1 - Students will evaluate, use, analyze, graph, and transform using polynomial functions with and without the use of technology.
Goal 2 - Students will evaluate, analyze, solve and graph expressions, functions and equations involving exponents and logarithms.
Goal 3 - Students will use the relationships between and among central angles, arc and the rectangular coordinate system to explore trigonometric ratios, with and without the use of technology.
Goal 4 - Students will analyze and graph functions involving all trigonometric ratios, with and without the use of technology.
Goal 5 - Students will identify and use the fundamental identities to verify more complex identities and to find numerical values of trigonometric functions.
Goal 6 - Students will solve trigonometric equations, with and without the use of technology.
Goal 7 - Students will apply trigonometric laws to solve right and oblique triangles, with and without the use of technology.
Goal 8 - Students will represent, use and perform operations with vectors.
Goal 9 - Students will graph curves described by parametric equations and convert between parametric and rectangular equations.
Goal 10 - Students will graph polar relations and convert between rectangular and polar form.
Goal 11 - Students will identify graphs of, determine the components of, and graph the conic sections, with and without the use of technology.
Goal 12 - Students will solve advanced systems of linear and non-linear equations and inequalities and apply them to real world problems with and without the use of technology.