Course Description
A study of mathematics designed to aid in developing thinking skills, ordering thoughts, developing logical thought processes, and making valid inferences. Provides a solid understanding of functions which will assist in such varied activities as calculator usage, computer operation, data processing, and other business applications.
Credits: 5
Course Content
Functions Unit 1
- Identify functions
- Evaluate functions
- Determine the input numbers of functions
- Graph functions
- Add, subtract, multiply, and divide functions
- Identify the range and domain of functions
- Use functions to describe real-world situations
- Evaluate and construct composition functions
- Perform inverse functions
Linear Equations & Inequalities Unit 2
- Solve equations
- Solve inequalities
- Solve equations and inequalities with absolute value
- Graph equations and inequalities
- Graph equations and inequalities with absolute value
- Solve systems of equations
- Use equations and inequalities to describe real-world situations
Polynomials & Factoring Unit 3
- Simplify polynomial expressions
- Add, subtract, multiply, and divide polynomials
- Factor polynomials
- Graph polynomial functions
- Solve polynomial equations using factoring
- Solve polynomial equations using trial and error
- Approximate roots of polynomial equations
- Use polynomial equations to solve real-world problems
Rational Expressions Unit 4
- Identify the domain and zeroes of rational expressions
- Graph rational expressions
- Perform arithmetic operations using rational expressions
- Simplify complex fractions
- Solve proportions with rational expressions
- Identify false solutions
- Use rational expressions to describe real-world situations
Radicals Unit 5
- Simplify radicals
- Simplify radical expressions
- Simplify expressions with complex numbers
- Solve equations with radical expressions
- Graph functions with radical expressions
- Solve quadratic equations using completing the square and the quadratic formula
- Use the above to solve word problems
