This course intends to help students develop skills necessary for
success in Precalculus.
Athena Title
Introduction to Pre-Calculus
Semester Course Offered
Offered fall, spring and summer
Grading System
A - F (Traditional)
Student learning Outcomes
By the end of this course, students will develop and understand transferable pre-calculus skills necessary for success in Precalculus and beyond.
By the end of this course, students will identify, evaluate, perform operations on, and find the domain, range, and inverse of functions.
By the end of this course, students will draw common graphs along with transformations and reflections.
By the end of this course, students will create, graph, evaluate, interpret, and solve real world applications involving linear, quadratic, exponential, and logarithmic functions.
By the end of this course, students will define and evaluate the six trigonometric functions using degrees and radians.
By the end of this course, students will draw the graph of sine and cosine functions.
Topical Outline
Review of algebraic concepts
Concepts of functions
Determine function values, domain and range
Performing operations on functions
Find inverse functions
Graphs of common functions and circles including graphs involving transformations and reflections
Determine where functions are increasing or decreasing and where functions have local or absolute maximum or minimum values
Linear and quadratic functions
Recognize, evaluate, and graph linear and quadratic functions
Find x and y intercepts, slope, vertex, axis of symmetry, or maximum and minimum values
Solve real world application problems involving linear and quadratic relationships
Exponential and logarithmic functions
Recognize, evaluate, and graph exponential and logarithmic functions
Find x and y intercepts and vertical or horizontal asymptotes
Solve real world application problems involving exponential and logarithmic relationships
Introduction to the trigonometric functions
Definition of the six trig functions using right triangles and angles in standard position
