### Algebra II

**Brief Course Description**

This discipline complements and expands the mathematical content and concepts of algebra I and geometry. Students who master algebra II will gain experience with algebraic solutions of problems in various content areas, including the solution of systems of quadratic equations, logarithmic and exponential functions, the binomial theorem, and the complex number system.

**Course Outline/Objectives**

- Be able to solve, graph, and analyze linear equations and inequalities
- Be able to write an equivalent equation or inequality in simplest form
- Know slope-intercept, standard, point-slope form
- Be able to use ordered pairs to graph or in a solution set
- Know the relationship between the ordered pairs and graph and equation
- Know slope, intercepts, domain, and range

- Be able to solve, graph, and analyze nonlinear equations/inequalities by various methods
- Be able to write an equivalent equation or inequality in simplest form
- Be able to solve: factoring, completing the square, and quadratic formula
- Be able to determine ordered pairs in a solution set
- Be able to relate ordered pairs, graph, and equation
- Be able to find vertex, maximum, and minimum
- Know domain and range

- Be able to solve, graph, and analyze systems of equations/inequalities by various methods
- Be able to solve by graphing, substitution, and linear combination
- Know and be able to identify the types of solutions

- Understand and apply functions
- Know the definition of a function
- Be able to use functional notation and graph functions
- Know the attributes of families of functions
- Be able to develop functions from data points

- Be able to solve trigonometric functions using triangles
- Know sine, cosine, and tangent relationships for right triangle
- Be able to solve missing parts of a right triangle
- Know and be able to apply laws of cosine and sine
- Know cases of multiple or no solutions

- Understand and use the exponential and logarithmic functions
- Know the relationship between exponential and logarithmic functions
- Know the methods of solving simple logarithmic and exponential equations
- Know the basic properties of and be able to use logarithms to solve problems

- Be able to perform operations and solve equations using complex numbers
- Know definition of complex numbers
- Be able to apply the basic operations with radicals
- Be able to solve equations with complex solutions

- Be able to perform operations and solve equations using radicals
- Be able to simplify radicals
- Know the four basic operations with radicals
- Know relationship between rational exponents and their radical form
- Be able to solve linear equations with radical solutions
- Be able to solve quadratic equations with radical solutions

**Methods of Assessment**

Assessment tools include the following but are not limited to:

1. Research projects

2. Portfolios

3. Student grades

4. Student demonstrations

5. Oral communication

6. Written examinations

7. Parent facilitator and education specialist observation

8. Periodic review of work by independent study teacher (IST)

**Suggested Material**

- Saxon Algebra 2; 2nd Edition © 1991
- Glencoe Algebra 2; © 1998
- Prentice Hall Intermediate Algebra, 3/e © 2001