Course Description
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)
Course Objectives
* Students will be able to develop and understand transferable pre-calculus skills necessary for success in Precalculus and beyond * Students will be able to identify, evaluate, perform operations on, and find the domain, range, and inverse of functions * Students will be able to draw common graphs along with transformations and reflections * Students will be able to create, graph, evaluate, interpret, and solve real world applications involving linear, quadratic, exponential, and logarithmic functions * Students will be able to define and evaluate the six trigonometric functions using degrees and radians * Students will be able to 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 Drawing the graphs sine and cosine functions
Syllabus