Algebra II (Intermediate Algebra)

Catalogue Description: Algebraic topics include: rational exponents; scientific notation; radical and rational expressions; linear, quadratic, quadratic in form, rational, radical, and absolute value equations; compound linear inequalities; literal equations; systems of linear equations in two and three variables; systems of linear inequalities; and introduction to functions. Geometric topics include: perimeter; area; volume; Pythagorean Theorem; and similarity and proportions. Students should be exposed to graphing calculator technology and/or computer algebra systems. Writing assignments, as appropriate to the discipline, are part of the course. The included curriculum is broken into 10 units.

Students the Course is Expected to Serve: This course is intended to prepare students for college-level mathematics (i.e. college algebra) or precalculus. It is a prerequisite for transferable college mathematics courses.

Course Objectives:

1. Develop the algebraic skills necessary for problem solving.
2. Develop the ability to model linear, quadratic, and other nonlinear relations, including the use of the graphing techniques and geometrical principles as tools, for the purpose of solving contextual (real-world) problems.
3. Manipulate and apply literal equations for the purposes of solving contextual (realworld) problems.
4. Writing and communicating the results of problem solving appropriately.
5. Use technology as one aide for the purposes of solving contextual (real-world) problems.

Student Learning Outcomes: Upon satisfactory completion of the course, students will be able to:

A. Simplify expressions containing rational exponents.
B. Perform operations on and simplify radicals.
C. Perform operations on and simplify rational expressions.
D. Solve quadratic equations with real solutions, including the use of the quadratic formula.
E. Solve rational equations.
F. Solve absolute value equations of the form |ax + b|=c.
G. Solve radical equations of the form: square root(ax + b) = c.
H. Solve compound linear inequalities.
I. Solve systems of linear inequalities in two variables.
J. Solve systems of linear equations in two and three variables.
K. Formulate and apply an equation, inequality or system of linear equations to a contextual (real-world) situation.
L. Solve and evaluate literal equations, including nonlinear equations.
M. Formulate and apply nonlinear literal equations to a contextual (real-world) situation.
N. Graph linear and quadratic equations.
O. Determine equations of lines, including parallel and perpendicular lines.
P. Determine whether given relationships represented in multiple forms are functions.
Q. Determine domain and range from the graph of a function.
R. Formulate and apply the concept of a function to a contextual (real-world) situation.
S. Interpret slope in a linear model as a rate of change.

Topical Outline: The course will cover the following topics:

1. Introduction to Functions
2. Functions and Function Operations
3. Linear Equations and Functions
4. Linear Functions and Applications
5. Introduction to Exponential Functions
6. More Exponential Functions
7. Logarithms and Logarithmic Functions
8. Introduction to Quadratic Functions
9. Solving Quadratic Equations
10. Radical Functions
11. Rational Functions
12. Course Review

A more detailed breakdown of topics and curriculum outline can be found here.