Precalculus
This course provides a working knowledge of Precalculus and its applications. It begins with a review of algebraic operations. Emphasis is on solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Students learn to graph trigonometric and inverse trigonometric functions and learn to use the family of trigonometric identities. Other topics include conic sections, arithmetic and geometric sequences, and systems of equations.
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Course Objectives
After completing this course, you will be able to:
 Perform operations on real numbers and polynomials.
 Simplify algebraic, rational, and radical expressions.
 Solve linear and quadratic equations and inequalities.
 Solve word problems involving linear and quadratic equations and inequalities.
 Solve polynomial, rational, and radical equations and applications.
 Solve and graph linear, quadratic, absolute value, and piecewisedefined functions.
 Perform operations with functions as well as find composition and inverse functions.
 Graph quadratic, the square root, cubic, and cube root functions.
 Graph and find zeroes of polynomial functions.
 Graph quadratic functions by completing the square, using the vertex formula, and using transformations.
 Solve and graph exponential and logarithmic equations.
 Express angle measure in degrees or radians.
 Evaluate and simplify trigonometric expressions.
 Know the six trigonometric functions and how to evaluate those trigonometric functions using positions on the unit circle with respect to the right triangle.
 Graph trigonometric and inverse trigonometric functions.
 Use trigonometric functions to solve a right triangle and apply the Law of Sines and the Law of Cosines to solve triangles that are acute or obtuse.
 Solve systems of linear equations and inequalities.
 Model and solve applications using linear systems.
 Evaluate and find partial sums of a series.
 Evaluate and find sums of an arithmetic sequence and a geometric sequence.
 Solve application problems involving arithmetic and geometric sequences and series.
 Define, identify, and graph conic sections including circle, ellipse, parabola, and hyperbola.
Topic  Lesson Topic  Subtopics  Objectives 
1  Geometry and Measurement 


2  Basic Algebraic Operations 


3  Linear Equations and Inequalities in One Variable 


4  Polynomial and Other Equations 


5  Functions and Graphs 


6  Operations on Functions and Analyzing Graphs 


7  Graphing Polynomial and Rational Functions 


8  Exponential and Logarithmic Equations 


9  Exponential and Logarithmic Equations 


10  An Introduction to Trigonometric Functions 


11  Trigonometric Identities 


12  Applications of Trigonometry 


13  Systems of Equations and Inequalities 


14  Conic Sections 


15  Sequences and Series 


16  Course Review 


StraighterLine suggests, though does not require, that students take College Algebra or its equivalent before enrolling in Precalculus.
The required eTextbook for this course is included with your course purchase at no additional cost. More information on StraighterLine eTextbooks
Prefer the hard copy? Simply purchase from your favorite textbook retailer; you will still get the eTextbook for free.
Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They werenâ€™t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series.
StraighterLine provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.
If you have chosen a Partner College to award credit for this course, your final grade will be based upon that college's grading scale. Only passing scores will be considered by Partner Colleges for an award of credit.
There are a total of 1000 points in the course.
Final Proctored Exam
The final exam is developed to assess the knowledge you learned taking this course. All students are required to take an online proctored final exam in order complete the course and be eligible for transfer credit.
This course provides a working knowledge of Precalculus and its applications. It begins with a review of algebraic operations. Emphasis is on solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Students learn to graph trigonometric and inverse trigonometric functions and learn to use the family of trigonometric identities. Other topics include conic sections, arithmetic and geometric sequences, and systems of equations.