MS-099 Intermediate Algebra

Course Description: Students will be able to perform arithmetic operations on rational expressions; solve and graph inequalities, absolute value, functions, and systems of linear equations; evaluate, simplify, and rationalize radical expressions and complex numbers; solve quadratic equations by completing the square and using the quadratic formula; and solve and graph inverse, exponential, and logarithmic functions. 

  • Prerequisite Courses: A grade of "C" or better in MS 096, by placement, or permission of instructor.
A. PROGRAM LEARNING OUTCOMES (PLOs):

The student will be able to:

  1. Demonstrate understanding and apply mathematical concepts in problem solving and in day to day activities.
  2. Present and interpret numeric information in graphic forms.
  3. Communicate thoughts and ideas effectively using proper mathematical terms.
B. STUDENT LEARNING OUTCOMES (SLOs)- GENERAL:

 The student will be able to:

  1. Perform arithmetic operations on rational expressions.
  2. Solve and graph inequalities, absolute value, functions, and systems of linear equations.
  3. Evaluate, simplify, and rationalize radical expressions and complex numbers.
  4. Solve quadratic equations by completing the square and using the quadratic formula.
  5. Solve and graph inverse, exponential, and logarithmic functions.

           

SLO

PLO 1

PLO 2

PLO 3

1

D

D

D

2

ID

ID

ID

3

D

ID

ID

4

ID

D

D

5

D

ID

ID

I = Introduced
D = Demonstrated
M = Mastered

C. STUDENT LEARNING OUTCOMES (SLOs)- SPECIFIC:

The student will be able to:

General SLO 1. Perform arithmetic operations on rational expressions.


Student  Learning Outcomes:

Assessment Strategies

1.1. Simplify, add, subtract, multiply, and divide rational expressions.

Homework and/or class quizzes and/or exams.

1.2. Find common denominators for rational expressions.

Homework and/or class quizzes and/or exams.

1.3. Solve equations involving rational and complex expressions.

Homework and/or class quizzes and/or exams.

General SLO 2. Solve and graph inequalities, absolute value, functions, and systems of linear equations.


Student  Learning Outcomes:

Assessment Strategies

2.1. Solve absolute value equations and graph absolute value inequalities.

Homework and/or class quizzes and/or exams.

2.2. Graph functions and relations.

Class quizzes and/or exams
Practical assessment where students will graph linear, quadratic and absolute value functions using graphing paper and graphing software and describe their differences in terms of graph shapes (scored with a rubric).

2.3. Add, subtract, multiply, and divide functions.

Homework and/or class quizzes and/or exams.

2.4. Solve systems of linear equations graphically, by substitution, and elimination.

Class quizzes and/or exams
Practical assessment where students will use graphing paper and graphing software to graph systems of equations and illustrate the finding of solutions graphically as compared to substitution and elimination methods (scored with a rubric).

2.5. Solve systems of linear equations with more than two variables.

Homework and/or class quizzes and/or exams.

2.6. Solve and graph systems of linear inequalities.

Class quizzes and/or exams
Practical assessment where students will use graphing paper and graphing software to graph systems of inequalities and demonstrate the finding of the solution region(s) (scored with a rubric).

 

General SLO 3. Evaluate, simplify, and rationalize radical expressions and complex numbers.


Student  Learning Outcomes:

Assessment Strategies

3.1. Simplify, evaluate, and perform arithmetic operations on radical expressions.

Homework and/or class quizzes and/or exams.

3.2. Find the domains of radical functions.

Class quizzes and/or exams
Practical assessment where students will use graphing paper and graphing software to graph radical functions and discuss the finding of the domains of radical functions (scored with a rubric).

3.3. Evaluate rational exponents.

Homework and/or class quizzes and/or exams.

3.4. Solve radical equations.

Homework and/or class quizzes and/or exams.

3.5. Perform arithmetic operations with complex numbers.

Homework and/or class quizzes and/or exams.

General SLO 4. Solve quadratics equations by completing the square and using the quadratic formula.


Student  Learning Outcomes:

Assessment Strategies

4.1. Solve quadratic equations by completing the square including imaginary solutions.

Homework and/or class quizzes and/or exams.

4.2. Use the quadratic formula to solve quadratic equations.

Homework and/or class quizzes and/or exams.

4.3. Graph quadratic equations and functions.

Class quizzes and/or exams
Practical assessment where students will solve and find solutions for quadratic functions graphically using graphing paper and software (scored with a rubric).

4.4. Solve and graph non-linear inequalities.

Class quizzes and/or exams
Practical assessment where students will find and describe the solution region for non-linear inequalities using graphing paper and software (scored using a rubric).

 

General SLO 5. Solve and graph inverse, exponential, and logarithmic functions.


Student  Learning Outcomes

Assessment Strategies

5.1. Find the composition of two functions.

Homework and/or class quizzes and/or exams.

5.2. Use composition to find the inverse of a function.

Homework and/or class quizzes and/or exams.

5.3. Solve and graph exponential and logarithmic equations and functions.

Class quizzes and/or exams
Practical assessment where students will use graphing paper and software to graph exponential functions (scored with a rubric).

5.4. Solve and graph logarithmic equations and functions.

Class quizzes and/or exams Practical assessment where students will use graphing paper and software to graph logarithmic functions (scored with a rubric).

5.5. Solve applications using natural and common logarithms.

Homework and/or class quizzes and/or exams.


D. COURSE CONTENT
  1. Rational expressions and equations
  2. Compound inequalities
  3. Absolute value equations, inequalities and functions
  4. Arithmetic operations with functions
  5. Systems of linear equations and inequalities
  6. Radical expressions, equations and functions
  7. Rational exponents and complex numbers
  8. Quadratic equations and functions
  9. Nonlinear inequalities
  10. Composition and inverse functions
  11. Exponential equations and functions
  12. Logarithmic equations and functions.
E. METHODS OF INSTRUCTION

The course will be taught by lectures and class discussions and activities. Sections that can access or meet in a computer laboratory are encouraged to utilize graphing software to assist students in visualizing equations and functions through graphing tools. Students will also be encouraged to utilize the computer labs outside of class for homework and group work on graphing exercises.

F. REQUIRED TEXT(S) AND COURSE MATERIALS

Carson, T., and Jordan, B. (2011). Elementary and Intermediate Algebra. Arlington Street, Boston: Pearson Education, Inc., publishing as Addison – Wesley, 3rd edition or most recent edition. (or more recent edition).
Graphing calculators and/or graphing software (optional) e.g. Winplot

G. REFERENCE MATERIALS

None

 

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