Prerequisites
MAT 077 with a grade of "C" or higher or placement test score as established
by District policy
Educational Value
This course is designed for continuing algebra students, or anyone who needs
a refresher algebra course
in prepa ration for College Algebra.
Description
A continuation of Elementary Algebra via equations and expressions of degree
2, radicals, and rational
expressions. Topics covered include functions, graphing, system of equations,
inequalities, radicals,
quadratics, and conic sections. Identical to TEC 101.
Textbooks
Bittinger, M.L.; Ellenbogen, D.J.; Johnson, B.L. Elementary and In termediate
Algebra , Concepts and
Applications, 5th ed.; Addison Wesley , 2010. ISBN-13: 9780321559449.
Required
Supplies
Scientific Calculator
Competencies and Performance Standards
1. Apply techniques to identify, evaluate, graph, and combine functions.
Learning objectives
What you will learn as you master the competency:
a. Distinguish between functions and non-functions.
b. Determine the domain and range of functions and non-functions.
c. Use function notation.
d. Perform the basic operations with functions: addition, subtraction ,
multiplication, and
division.
e. Sketch the graphs of basic algebraic functions.
Performance Standards
You will demonstrate your competence:
o On assigned activities.
o On written exams.
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can demonstrate the ability to identify, evaluate, graph, and combine
functions.
2. Apply techniques to solve linear systems of equations.
Learning objectives
What you will learn as you master the competency:
a. Solve a two equation linear system graphically.
b. Solve a linear system of equations by substitution.
c. Solve linear system equations by elimination .
d. Solve linear system equations using matrices.
e. Solve a linear system equations using Cramer's Rule.
f. Solve applied problems using a linear system of equations.
Performance Standards
You will demonstrate your competence:
o On assigned activities.
o On written exams.
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can demonstrate the ability to solve linear systems of equations using a
variety of
methods.
3. Apply techniques to solve inequalities.
Learning objectives
What you will learn as you master the competency:
a. Solve and graph linear inequalities.
b. Use interval notation.
c. Solve compound inequalities.
d. Solve absolute value inequalities .
e. Solve inequalities in two variables graphically
Performance Standards
You will demonstrate your competence:
o On assigned activities.
o On written exams.
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can demonstrate the ability to solve inequalities.
4. Apply techniques to simplify radical ex pressions with rational exponents,
and solve radical
equations.
Learning objectives
What you will learn as you master the competency:
a. Change radical expressions alternately between radical format and exponential
format .
b. Simplify radicals
c. Apply rules for adding radicals.
d. Apply rules for multiplying and dividing radicals
e. Solve radical equations
f. Simplify an expression by rationalizing.
g. Apply radical techniques to various applications.
Performance Standards
You will demonstrate your competence:
o On assigned activities.
o On written exams.
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can demonstrate the ability to simplify and solve a variety of radical
expressions and
equations.
o You can correctly solve radical equations applied to real world situations.
5. Apply techniques to identify, solve, and graph quadratic equations and
inequalities.
Learning objectives
What you will learn as you master the competency:
a. Perform addition, subtraction, multiplication, and division with complex
numbers .
b. Identify a quadratic equation from other algebraic equations.
c. Solve quadratic equations with the complete the square technique .
d. Solve quadratic equations with the quadratic formula technique .
e. Solve quadratic inequalities using the test value method.
f. Solve applied problems involving quadratic equations.
g. Find the axis of symmetry and the vertex of a parabola.
Performance Standards
You will demonstrate your competence:
o On assigned activities.
o On written exams.
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can correctly solve quadratic equations applied to real world situations.
o You can demonstrate the ability to solve a variety of quadratic equations and
inequalities.
6. Apply techniques to graph conic sections.
Learning objectives
What you will learn as you master the competency:
a. Find the midpoint of two points.
b. Calculate the distance between two points.
c. Identify the various conic sections from equations written in general form.
d. Graph a parabola with a horizontal or vertical axis of symmetry.
e. Graph a circle utilizing the standard form of a circle.
f. Graph an ellipse that is in standard form.
g. Graph a hyperbola that is in standard form.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam
Your performance will be successful when:
o You can sketch graphs from equations for circles, ellipse, parabolas, and
hyperbolas.
Types of Instruction
Classroom Presentation
Grading Information
Grading Rationale:
Each instructor has the flexibility to develop evaluative procedures within the
fol lowing parameters .
1. Written exams must represent at least 60% of the final course grade
2. Final exam must represent at least 20 % of the final course grade.
3. The Post Test is to be embedded in the final exam and must represent at least
10% of the final course
grade.
4. Other activities may represent at most 10 % of the final course grade.
Grading Scale
A 90%-100%
B 80%-89%
C 70%-79%
D 60%-69%
F Below 60%
