ADVANCED ALGEBRA AND TRIGONOMETRY
GRADES 11, 12
1 CREDIT
2 SEMESTERS
1.2 GRADE WT.

Prerequisites: Successful completion of Geometry and Algebra 2.

Students will evaluate, analyze, solve and graph expressions, functions and equations involving exponents, logs, and trigonometric ratios. They will analyze higher order equations and functions in terms of their roots and solutions. They will identify graphs of, determine the components of, and graph conic sections and trigonometric functions. They will distinguish among the types of sequences or series and apply the appropriate formulas to determine patterns and predict unknown terms. They will apply trigonometric laws to solve right and oblique triangles. They will apply the fundamental identities to verify more complex identities. The above concepts will be addressed with and without the use of technology.

REMARKS: Texas Instrument Graphing Calculator (TI-84 plus or TI-NSpire) is strongly recommended. 
 

Curriculum Goals

Goal 1 - Students will evaluate, analyze, solve and graph expressions, functions, and equations involving exponents and logarithms, with and without the use of technology.

Goal 2 - Students will analyze, solve and graph higher order equations and functions in terms of their roots and solutions, with and without the use of technology.

Goal 3 - Students will identify graphs of, determine the Objectives of, and graph the conic sections, with and without the use of technology.

Goal 4 - Students will distinguish among the types of sequences or series and apply the appropriate formulas to determine patterns and predict unknown terms, with and without the use of technology.

Goal 5 - Students will use the relationships between and among central angles, arcs, and the rectangular coordinate system to explore trigonometric ratios, with and without the use of technology.

Goal 6 - Students will apply trigonometric laws to solve right and oblique triangles, with and without the use of technology.

Goal 7 - Students will analyze and graph functions involving all trigonometric ratios, with and without the use of technology.

Goal 8 - Students will identify and use the fundamental identities to verify more complex identities and to find numerical values of trigonometric functions.

Goal 9 - Students will solve trigonometric equations, with and without the use of technology.