Take Precalculus online at your own pace

  • ACE Credit®-recommended for 3.0 semester credits

Course description

Sophia’s Precalculus course prepares you for the skills needed for Calculus I. In this course, you will build off the topics in Sophia’s College Algebra by evaluating and graphing functions, and solving systems of equations using matrices. You will then investigate different types of functions by graphing power, polynomial, and rational functions. By solving exponential and logarithmic equations, you will also model real-world situations. Then, you will move into the trigonometry portion of Precalculus by analyzing trigonometric functions through graphs, equations, and identities and solving oblique triangles using the law of sines and the law of cosines. You will also apply trigonometric concepts to the polar coordinates system and the trigonometric form of complex numbers. Finally, you will wrap up the course with supplementary topics which include vectors, writing equations of conic sections, working with arithmetic and geometric sequences and series, and expanding powers of binomials.

Assessments and grading

This is a pass/fail course. You must complete 17 Challenges (formative assessments) and 6 Milestones (summative assessments) with an overall score of 70% or better.

Learning outcomes

<p>At the end of the course, you'll be able to:<br></p> <ul><li>Graph and perform operations with functions and inverse functions.</li><li>Write the equation of a line using given information.</li><li>Solve systems of linear equations using algebraic and matrix methods.</li><li>Graph power and polynomial functions.</li><li>Find zeroes of polynomial functions.</li><li>Graph rational functions and find average rate of change.</li><li>Model real-world situations using variation.</li><li>Solve compound interest and continuous growth problems and graph exponential functions.</li><li>Graph logarithmic functions and apply logarithmic properties.</li><li>Solve exponential and logarithmic equations.</li><li>Evaluate trigonometric functions.</li><li>Graph trigonometric functions.</li><li>Verify trigonometric identities and evaluate trigonometric expressions using identities.</li><li>Evaluate expressions involving inverse trigonometric functions and solve trigonometric equations.</li><li>Apply the law of sines and the law of cosines to solve oblique triangles.</li><li>Identify, graph, and write equations of the conic sections.</li><li>Write the nth term and find the sum of arithmetic and geometric sequences, and expand powers of binomial expressions.</li></ul>

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