Big Sandy Community and Technical College. Course Syllabus
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1 Big Sandy Community and Technical College Course Syllabus PS Number: Semester: Fall Year: 2017 Faculty Name: Joshua Thacker Title: Associate Professor Course Prefix and Number: MAT 11-B286 Course Credit Hours: 3 Course Prerequisites: Course Title: KCTCS Placement Exam Transitional Algebra Catalog Course Description: Provides individualized, accelerated, mastery-level progression through entry-level college mathematics prerequisite competencies as defined by KY Council of Postsecondary Education. Note: A passing grade in this course does not necessarily indicate that all prerequisites for all entrylevel college mathematics courses have been met. Instructor Contact Information: Campus Location: Pikeville Building & Room: Office Suite, Office N-323 Office Hours: Online/Attached Schedule Office Phone Number: EXT : Alternate Number: Best Times to Call: Contact through . KCTCS Jthacker0085@kctcs.edu Special Instructions: Supervisor Contact Information: Name: Dr. Lisa J. Music Campus Location: Prestonsburg Building & Room: Pike 107F
2 Office Phone Number: KCTCS Text and Supplies: This course uses Pearson s MyLabsPlus (MLP) which will be accessed via Blackboard. (A separate code is not required.) The use of a computer with internet access is required. A headset or earbuds are optional but encouraged. A scientific calculator is optional for this course. Graphing calculators and cell phones are not permitted. Optional Workbook: Emporium Transitional Algebra MAT 011 Workbook: Preparing Students for Success in College Mathematics KCTCS General Education Competencies Students should prepare for twenty-first century challenges by gaining: A. Knowledge of human cultures and the physical and natural worlds through study in the sciences and mathematics, social sciences, humanities, histories, languages, and the arts. B. Intellectual and practical skills, including inquiry and analysis critical and creative thinking written and oral communication quantitative literacy information literacy teamwork and problem solving C. Personal and social responsibility, including civic knowledge and engagement (local and global) intercultural knowledge and competence ethical reasoning and action foundations and skills for lifelong learning D. Integrative and applied learning, including synthesis and advanced accomplishment across general and specialized skills.
3 Course Specific Competencies (Student Outcomes): Upon completion of this course, this student can: 1. State and use properties of real numbers. 2. Perform arithmetic operations on integers, fractions and decimals. 3. Round whole numbers and decimals to an indicated place value. 4. Evaluate whole number powers of integers, fractions and decimals. 5. Evaluate square roots of perfect squares of integers, fractions and decimals. 6. State and use the order of operations on integers, fractions and decimals. 7. Simplify and evaluate algebraic expressions. 8. Use both the addition and multiplication properties to solve a linear equation in one variable. 9. Solve problems involving ratios and proportions. 10. Solve problems involving percents. 11. Convert among fractions, decimals and percents. 12. Calculate and solve applied problems of perimeter, circumference, area, volume, and surface area. 13. Solve linear equations and applications in one variable. 14. Solve and graph linear inequalities in one variable. 15. Graph linear equations in two-variables using multiple methods. 16. Determine the slope of a line given two points, its graph, or its equation. 17. Determine an equation of a line given two points or a point and slope. 18. Graph linear inequalities in two-variables. 19. Solve systems of linear equations in two-variables using multiple methods. 20. Use the properties of integer exponents and basic rational exponents (1/n) to simplify algebraic expressions. 21. Add, subtract, and multiply polynomials with one or more variables. 22. Factor polynomials by finding the greatest common factor and factor simple trinomials. 23. Solve quadratic equations by factoring. 24. Graph parabolas. 25. Solve and graph compound inequalities and solve absolute value equations and inequalities. 26. Write equations of lines, including parallel and perpendicular lines, from given data, verbal descriptions and graphs. 27. Determine whether a given correspondence or graph represents a function. 28. Evaluate and determine the domain of polynomial, rational and radical functions. 29. Completely factor polynomial functions including finding the greatest common factor, using grouping, recognizing special products, and factoring general trinomials. 30. Use the properties of rational exponents and simplify numeric and algebraic expressions containing rational exponents. 31. Add, subtract, multiply, and divide polynomial functions, rational expressions and radicals. 32. Solve polynomial, rational and radical equations. 33. Introduce complex numbers and simplify radicals of both positive and negative real numbers. 34. Solve quadratic equations with complex solutions using factoring, completing the square, and the quadratic formula. 35. Graph parabolas by finding the vertex and axis of symmetry and plotting points. 36. Model and solve applications based on linear, quadratic, and exponential functions. Lab Competencies (Student Outcomes): (Enter if this does not apply.) Course Outline: I. Introduction to Algebra (Competencies 1 12) A. Whole Numbers B. Integers C. Fractions
4 D. Decimals E. Order of Operations on Real Numbers F. Algebraic Expressions G. Basic Linear Equations H. Ratios & Proportions I. Basic Percents J. Geometry II. Preparation for Liberal Arts Mathematics (Competencies 13 24) A. General Linear Equations in one-variable with applications B. Linear Inequalities in one-variable C. Linear Equations in two-variables D. Linear Inequalities in two-variables E. Rules of Exponents (including 1/n) F. Polynomials G. Basic Factoring H. Quadratic Equations III. Preparation for College Algebra (Competencies 25 36) A. Absolute Value Equations and Inequalities B. Linear Equations in two-variables (including parallel & perpendicular) C. Functions D. Polynomial Functions and Equations (including general factoring) E. Rational Functions and Equations F. Radical Functions and Equations (including rational exponents) G. Quadratic Equations with Complex Solutions H. Graphing Quadratic Functions I. Basic Exponential Functions Course Structure: The student is expected to submit work using MyLabsPlus (MLP) by the due dates listed in the student s Course Assignment Outline. In order to adhere to the deadlines, the student is expected to complete assignments daily. Students are also expected to view available media for each section. There are six versions of MAT 11 to correspond to the pre-requirements and co-requirements unique to the following college level courses: Business Mathematics (MAT 105), Applied Mathematics (MAT 110), Technical Mathematics (MAT116), Technical Algebra and Trigonometry (MAT 126), Contemporary College Algebra (MAT 146), and College Algebra (MAT150). Not all topics are in each version, only the prerequisites and co-requisites for the individual college level course the individual will need for his or her program of choice. Topics include operations on whole numbers, fractions, decimals, integers, and real numbers. Introduces exponents, square roots, percents, ratios, proportions, prime factorization, basic geometry, trigonometry, algebraic expressions, basic linear equations, inequalities, integer exponents, polynomials, factoring, equations of lines and their graphs, and applications, rational expressions, radical expressions, rational exponents, functions and applications, with emphasis on solving quadratic, rational, and radical equations. Supplemental material may be added. Technology/Media Component: The use of a computer and internet are required for success in this course. Media such as videos, animations, PowerPoints, and the multimedia textbook are available on MLP. Service-Learning:
5 Course Requirements and Evaluation: There are six versions of MAT 11 to correspond to the pre-requirements and co-requirements unique to the following college level courses: Business Mathematics (MAT 105), Applied Mathematics (MAT 110), Technical Mathematics (MAT116), Technical Algebra and Trigonometry (MAT 126), Contemporary College Algebra (MAT 146), and College Algebra (MAT150). Not all topics are included in each version, only the prerequisites and co-requisites for the individual college level course the individual will need for his or her program of choice. The student will complete the version that corresponds to the required course for his or her program of study as recorded in PeopleSoft. Each version is broken into units that contain a Diagnostic Pre-Test, Module Homework, and a Diagnostic Post-Test according to the needs of the prerequisites of the upcoming college level course. The student will complete the Diagnostic Pre-Test then work the assigned Homework. Only one attempt is allowed on the Diagnostic Pre-Test for a unit. The student may receive automatic credit for homework problems if they show mastery of the material on the Diagnostic Pre-Test. All Homework assignments must be completed with an accuracy of 95% before the student is permitted to attempt the Diagnostic Post-Test for that unit. The student must complete the Diagnostic Post-Test with 80% accuracy to move on to the next unit. Post-Tests have an unlimited number of attempts but may require the student to complete Study Plan assignments between attempts. Grading Policy: Grades of P, MP, and F will be assigned for this course as follows: A passing grade for this course is a P. A grade of MP (Making Progress) or a grade of F are not passing grades and will require the student to enroll in an additional course. The student is required to complete all assigned Diagnostic Post-Tests with 80% to receive a P for the course. The student who has not completed the final Diagnostic Post-Test with 80% but has completed all other requirements for the course should expect to receive the grade of MP. The student who does not complete the requirements for the course as specified above should expect to receive the grade of F. Grades are posted in the grade book on MyLabsPlus and are automatically updated as the student submits assignments. Attendance Policy: The student is expected to attend each class meeting and complete assignments using MyLabsPlus. Depending on the track, work outside of class may be necessary to meet due dates. The student is provided a course assignment outline to follow and should log on to MyLabsPlus and complete assignments on a daily basis. The student is responsible for being aware of the due dates. Participation is reported to the Admissions Office and Financial Aid Office at various times during the semester. Missed Exam Policy: The student is expected to complete assignments in a timely manner. Any assignments not completed by the end of the term will receive a zero. Late Assignment Policy:
6 The student is expected to complete assignments in a timely manner. Any assignments not completed by the end of the term will receive a zero. Withdrawal Policy: A student can withdraw from the course at his or her discretion and receive a W until midterm, October 6, After mid-term, the student will be allowed to withdraw with a W only if the student has continued to submit assignments according to the student s course assignment outline and, in the opinion of the instructor, has made a reasonable effort to pass the course. The student wishing to withdraw that does not meet the criteria will not be permitted to do so and will receive a grade at the end of the semester. The student is responsible for being aware of the proper procedure to withdraw from a course and should contact admissions for further information. The last date to withdraw with instructor permission is December 1, Additional information can be found at the following site:
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