Pre-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.
Working with functions
Solutions to polynomials
Exponential and logarithmic properties
Systems of equations
Matrices Angles and the unit circle
Graphs of trigonometric functions
Solving trigonometric equations
Sequences and series
Find inverse functions algebraically and graphically and determine their domains, ranges, and asymptotes.
Solve direct, inverse, combined, and joint variation problems.
Demonstrate the ability to use the remainder theorem and the factor theorem.
Perform operations on complex numbers.
Solve systems of equations using a variety of methods. Demonstrate the ability to solve problems using the unit circle.
Compare and contrast trigonometric functions and their inverses.
Use summation notation while working with arithmetic and geometric sequences and sums.
Use the binomial theorem, the counting principle, and permutation and combination formulas to calculate probabilities.
Find magnitudes, direction angles, dot products, and angles between two vectors.