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Precalculus

Precalculus is a one -semester, three-credit course covering the following topics:

Basics
Real Numbers
Coordinate Line
Coordinate Plane
Positive Integer Exponents
Rational Exponents

Simplifying Algebraic Equations
Multiplying polynomial expressions
Factoring simple polynomial expressions
Factoring quadratic expressions
Simplifying rational expressions
Addition /subtraction with rational expressions
Applications with algebraic expressions

Equations
Solving equations
Solving linear equations
Solving quadratic equations with factoring
Solving quadratic equations with the quadratic formula
Solving equations using higher order factoring
Direct/Inverse proportion
Solving linear inequalities
Solving literal equations

Functions
Understanding functions
Notation and input-output
Definitions
Graphing functions
Average rate of change
Linear functions
Forms for equations to describe a line
Polynomial/rational functions
Piecewise-defined functions
Absolute value
Arithmetic combinations of functions
Composite functions
Inverse functions
Applications of functions

Graphing
Graphing Lines
Graphing Polynomial Functions
Graphing Rational Functions – Part 1
Graphing Rational Functions – Part 2
Using Graphs to Create New Graphs
Graphing Parabolas
Graphing Circles
Graphing Ellipses
Graphing Hyperbolas
Interpreting Graphs

Exponential and Logarithmic Functions
Radicals and Rational Exponents
Behavior of Exponential Functions
Rates of Change of Exponential vs. Linear
Solve equations using exponential properties
Logarithms and Their Properties
Applications of Exponential Functions
Curve Fitting for Exponential Growth and Decay

Trigonometry
Periodic functions
Angles in degrees
Angles in radians
Sine and cosine functions
Tangent, cotangent, secant, and cosecant functions
Common angles
Right triangle trigonometry
Basic trigonometric identities
Combining trigonometric functions with algebraic function

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