Algebra II
Grade Level: High School
Time: 9:00 – 10:30 Wednesdays
Instructor: Charles Kilgore
Class Fees:
$60 per month
$30 supply fee due at registration
Textbook: Instructor will provide packets of notes and homework as needed.
Students will need the following:
1. A 3-ring binder, 3-hole punch, dividers and note-book paper.
2. Good work ethic. Since we meet once a week, it will be necessary to set aside time each day to this course. The amount of time needed will vary depending on the material covered and your understanding of the material.
Course Outline:
A. Equations in one variable
1. Linear Equations
a. Solving linear equations in one variable
b. Solving applications that can be modeled using linear equations
c. Formulas
d. Evaluation and applications involving formulas
2. Quadratic Equations
a. Solve quadratic equations by factoring
b. Solve quadratic equations using square root method
c. Solve quadratic equations be completing the square
d. Solve quadratic equations using a quadratic formula
e. Solve applications that can be modeled using quadratic equations
3. Quadratic Equations in the Complex Number System
a. Perform operations in the complex number system
b. Solve quadratic equations in the complex number system
4. Miscellaneous equations
a. Solve equations by factoring the GCF
b. Solve equations by grouping
c. Solve equations involving radicals
d. Solve equations that are quadratic in form
e. Solve equations involving absolute value
B. Inequalities in one variable
1. Linear inequalities
a. Solve linear inequalities
b. Solve applications that can be modeled using linear inequalities
2. Compound inequalities
a. Solve compound inequalities
b. Solve applications that can be modeled using compound inequalities
3. Absolute Value Inequalities
a. Solve absolute value inequalities
b. Solve applications that can be modeled using absolute value inequalities
C. Linear equations in two variables
1. Distance and Midpoint Formulas
2. Graphs of Equations
a. Plotting points
b. Finding intercepts
c. Determining symmetry
3. Lines
a. Graph equation of a line
b. Find the equation of a line
4. Variation
a. Solve applications involving variation
D. Functions and Their Graphs
1. Functions
a. Determine what a function is.
b. Determine domain and range of functions
c. Perform operations on functions
2. Graphs of Functions
a. Identify information from a graph of a function
b. Determine information about a function algebraically
3. Parent/Elementary functions
a. Graph and obtain information about parent functions
4. Transformations on Functions
a. Vertical and Horizontal shifts
b. Compressions and Stretches
c. Reflections
E. Linear and Quadratic Functions
1. Linear Functions
a. Graph linear function
b. Applications involving linear functions
2. Quadratic Functions
a. Graph quadratic functions using transformations
b. Determine information about the graph of quadratics
c. Solve applications that can be modeled by quadratic functions
F. Polynomial Functions
1. Polynomial functions
a. Analyze graphs of polynomial functions
b. Graph polynomial functions
c. Solve polynomial inequalities
G. Rational Functions
1. Analyze the graph of Rational Functions
a. Determine asymptotes, intercepts, domain, range, symmetry
2. Graph Rational Functions
3. Solve rational inequalities
H. Exponential and Logarithmic Functions
1. Composite Functions
a. Determine composite functions and their domain
2. Inverse Functions
a. Determine if functions are inverses
b. Determine information about inverse functions
c. Find inverses of one-to-one functions
3. Exponential Functions
a. Evaluate exponential functions
b. Graph exponential functions
c. Solve basic exponential equations
4. Logarithmic Functions
a. Conversion between exponential and logarithmic expressions
b. Evaluate logarithmic expressions
c. Graph logarithmic functions
d. Solve basic logarithmic equations
5. Properties of Logarithms
a. Expand logarithmic expressions
b. Write as a single logarithm
c. Change of base formula
6. Logarithmic and Exponential Equations
a. Investigate various techniques to solve logarithmic and exponential equations
b. Solve applications involving exponential and logarithmic functions
7. Interest
a. Simple interest
b. Compound interest
c. Continuously compounded interest
I. Systems of Equations and Inequalities
1. Solve system of equations
a. Graphing
b. Substitution Method
c. Elimination method
d. Matrices
e. Determinants
2. Operations on Matrices
a. Matrix operations and applications
3. System of linear inequalities
a. Graphing
b. Linear programming
J. Conics
1. Parabolas
2. Ellipses/circles
3. Hyberbolas