Pre-Calculus [Competency Based] (1st semester)

Course Description\nPre-Calculus helps students gain the knowledge they need for success in calculus and other high-level math courses. Students focus on a variety of functions, including their solutions, characteristics, and graphs. They explore the inverse relationship between exponential and logarithmic functions. Students learn how to use advanced methods to solve systems of equations. Next, students work with trigonometric functions as they graph, find values with the unit circle, verify identities, and solve trigonometric equations. Students then work with series and sequences and relate certain types of functions to arithmetic and geometric sequences. Students end the course by learning about vectors, conic sections, and polar coordinates. By the end of this course, students gain knowledge and appreciation for higher-level math concepts and their applications.\n\nCourse Breakdown\n\n Quadratic functions\n Polynomial functions\n Complex numbers\n Rational functions Exponents and logarithms\n Systems of equations\n Linear programming\n Matrix operations\n\nCourse Goals\n Analyze, evaluate, and graph functions.\n Apply rigid transformations and reflections to graphs of functions.\n Perform and apply calculations using imaginary and complex numbers.\n Analyze, evaluate, and graph rational functions.\n Employ concepts of key algebraic theorems to solve problems. Simplify, evaluate, and graph exponential and logarithmic equations.\n Model real-world data by using exponential and logarithmic equations.\n Solve and apply systems of equations.\n Construct and perform operations with matrices.