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Intermediate Algebra
I. Course Prefix/Number: MAT 110
Course Name: Intermediate Algebra
Credits: 4 (4 lecture; 0 lab)
II. Prerequisite
MAT 070 or appropriate score on Mathematics Placement Test, and MAT 080 or geometry proficiency. MAT 080 and MAT 110 may be taken concurrently.
III. Course (Catalog) Description
Course covers algebraic principles at intermediate level. Content includes real and complex numbers, exponents, polynomials, radicals first- and second-degree equations system of equations inequalities and rational expressions.
IV. Learning Objectives
Module 11 Objectives:
To be able to use interval notation successfully.
Demonstrating the ability to find intersections, unions and compound inequalities.
To be able to calculate the absolute value of equations and inequalities.
Successfully being able to solve systems of equations with 3 variables.
The demonstrated ability to solve applied problems using systems of equations.
Module 12 Objectives:
Factoring polynomials including sums and differences of cubes successfully.
The demonstrated ability to solve second degree equations by factoring.
Calculating, simplifying, and performing operations on rational expressions successfully.
To be able to find the LCM’s of rational expressions.
Demonstrating the ability to divide polynomials.
Module 13 Objectives:
Providing evidence of successfully simplifying complex fractions.
Being able to solve rational equations correctly.
Recognizing and applying applications of rational equations including proportions.
Computing with rational formulas and applications correctly.
Demonstrated ability to calculate variation and applications there of.
Module 14 Objectives:
Simplify and perform operations on radical expressions successfully.
Being able to compute with rational numbers as exponents.
Proven evidence of the ability to solve radical equations.
To show successful performance of the basic operations of complex numbers.
Module 15 Objectives:
Being able to solve quadratic equations using principle of square roots, completing the square and the quadratic formula.
Demonstrated ability in applying the concepts learned to solving word problems.
To be able to use interval notation successfully.
Demonstrating the ability to find intersections, unions and compound inequalities.
To be able to calculate the absolute value of equations and inequalities.
Successfully being able to solve systems of equations with 3 variables.
The demonstrated ability to solve applied problems using systems of equations.
Module 12 Objectives:
Factoring polynomials including sums and differences of cubes successfully.
The demonstrated ability to solve second degree equations by factoring.
Calculating, simplifying, and performing operations on rational expressions successfully.
To be able to find the LCM’s of rational expressions.
Demonstrating the ability to divide polynomials.
Module 13 Objectives:
Providing evidence of successfully simplifying complex fractions.
Being able to solve rational equations correctly.
Recognizing and applying applications of rational equations including proportions.
Computing with rational formulas and applications correctly.
Demonstrated ability to calculate variation and applications there of.
Module 14 Objectives:
Simplify and perform operations on radical expressions successfully.
Being able to compute with rational numbers as exponents.
Proven evidence of the ability to solve radical equations.
To show successful performance of the basic operations of complex numbers.
Module 15 Objectives:
Being able to solve quadratic equations using principle of square roots, completing the square and the quadratic formula.
Demonstrated ability in applying the concepts learned to solving word problems.
V. Academic Integrity
Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:
• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook.
• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook.
VI. Sequence of Topics
Module 11: Systems of Equations
1.4 Sets, Inequalities and Interval notation
1.5 Intersections, Unions and Compound inequalities
1.6 Absolute value equations and inequalities
3.5 Solving systems in 3 variables
3.6 Solving applied problems in 3 variables
Module 12: Factoring Polynomials,solving equations by factoring , simplifying, multiplying and Dividing Fractions
4.6 Factoring Sums and differences of Cubes
4.7 Factoring: A general strategy
4.8 Solving polynomial equations by factoring and Applications
5.1 Multiplying, Dividing and Simplifying Rational Expressions
5.2 LCM’s and adding and subtracting fractions
5.3 Division of Polynomials
Module 13: Complex (compound) Rational Expressions, Solving Rational Equations, Solving Formulas, Variation
5.4 Complex(compound) Fractions
5.5 Solving Rational equations
5.6 Applications and Proportions
5.7 Formulas and Applications
5.8 Variation and Applications
Module 14: Radicals and Complex Numbers
6.1 Radical Expressions
6.2 Rational Numbers as Exponents
6.3 Simplifying Radical Expressions
6.4 Adding, Subtracting and more multiplication
6.5 More on Division of Radicals
6.6 Solving Radical Equations
6.8 The Complex Numbers
Module 15: Quadratic Equations and Functions
7.1 Solving Quadratic Equations by taking squrare roots and by completing the square
7.2 The Quadratic Formula
7.3 Applications of Quadratic Equations
7.4 More on Quadratic Equations
7.6 Graphing Quadratic Functions
1.4 Sets, Inequalities and Interval notation
1.5 Intersections, Unions and Compound inequalities
1.6 Absolute value equations and inequalities
3.5 Solving systems in 3 variables
3.6 Solving applied problems in 3 variables
Module 12: Factoring Polynomials,solving equations by factoring , simplifying, multiplying and Dividing Fractions
4.6 Factoring Sums and differences of Cubes
4.7 Factoring: A general strategy
4.8 Solving polynomial equations by factoring and Applications
5.1 Multiplying, Dividing and Simplifying Rational Expressions
5.2 LCM’s and adding and subtracting fractions
5.3 Division of Polynomials
Module 13: Complex (compound) Rational Expressions, Solving Rational Equations, Solving Formulas, Variation
5.4 Complex(compound) Fractions
5.5 Solving Rational equations
5.6 Applications and Proportions
5.7 Formulas and Applications
5.8 Variation and Applications
Module 14: Radicals and Complex Numbers
6.1 Radical Expressions
6.2 Rational Numbers as Exponents
6.3 Simplifying Radical Expressions
6.4 Adding, Subtracting and more multiplication
6.5 More on Division of Radicals
6.6 Solving Radical Equations
6.8 The Complex Numbers
Module 15: Quadratic Equations and Functions
7.1 Solving Quadratic Equations by taking squrare roots and by completing the square
7.2 The Quadratic Formula
7.3 Applications of Quadratic Equations
7.4 More on Quadratic Equations
7.6 Graphing Quadratic Functions
VII. Methods of Instruction
Methods of instruction include one-on-one and/or small group discussion, and required website ancillaries. Calculators/computers will be used.
Calculators / computers will be used when appropriate.
Course may be taught as face-to-face, media-based, hybrid or online course.
Calculators / computers will be used when appropriate.
Course may be taught as face-to-face, media-based, hybrid or online course.
VIII. Course Practices Required
This course will be taught by a classroom instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.
The course is divided into five modules. Each module must be completed with a minimal post-test score of 80% to proceed to the next module. All course work must be completed in a notebook.
Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.
Course may be taught as face-to-face, media-based, hybrid or online course.
The course is divided into five modules. Each module must be completed with a minimal post-test score of 80% to proceed to the next module. All course work must be completed in a notebook.
Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.
Course may be taught as face-to-face, media-based, hybrid or online course.
IX. Instructional Materials
Textbook information for each course and section is available on Oakton's Schedule of Classes. Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".
Textbooks can also be found at our Mathematics Textbooks page.
A scientific calculator, notebook, and earphones are required.
Textbooks can also be found at our Mathematics Textbooks page.
A scientific calculator, notebook, and earphones are required.
X. Methods of Evaluating Student Progress
Students must complete the following work with the following minimal scores:
Homework, class work, and study plans (unlimited attempts) = 100%
Quizzes (unlimited attempts) = 90%
Module Post-test = 80%
Grades will be awarded based on the average of the module post-tests as follows:
C 80-86
B 87-93
A 94-100
Homework, class work, and study plans (unlimited attempts) = 100%
Quizzes (unlimited attempts) = 90%
Module Post-test = 80%
Grades will be awarded based on the average of the module post-tests as follows:
C 80-86
B 87-93
A 94-100
XI. Other Course Information
Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.
If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in the Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.
If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in the Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.
