Intermediate Algebra (Algebra II)
COURSE TOPICS:Absolute Value Equations and Inequalities
- Solve absolute value equations and inequalities
Radical Expressions and Equations
- Properties of radicals
- Rational exponents
- Simplify radical expressions
- Operations with radicals
- Solve radical equations
- Solve radical equations which come from real-world applications
- Operations with complex numbers
- Solve quadratic equations using factoring, extracting roots, completing the square, and quadratic formula
- Solve applications (for example: max/min problems)
- Graph quadratic equations
- Solve quadratic and rational inequalities
- Solve equations that are quadratic in form
Functions
- Understand and apply the definition of a function
- Function notation
- Apply the vertical and horizontal line tests
- Graph and determine the domain and range of the core functions
- Evaluate and apply the algebra of functions including addition, subtraction, multiplication, division, and composition
- Find the inverse of core functions
Logarithmic and Exponential Functions
- Graph logarithmic and exponential functions
- Apply the properties of logarithmic functions
- Solve logarithmic and exponential equations
- Solve applications of logarithmic and exponential functions including exponential growth and decay, pH, compound and continuous interest, carbon dating, half-life, and earthquake magnitudes
Conic Sections
- Apply the midpoint and distance formulas
- Convert the following conic sections into standard form by completing the square: parabolas, circles, ellipses, and hyperbolas
- Identify and graph the following conic sections: parabolas, circles, ellipses, and hyperbolas
Optional Topics
- Solve 3X3 systems of linear equations
- Solve nonlinear systems of equations
