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| Class Hours: 5.0 | Credit Hours: 5.0 | ||||||||
| Laboratory Hours: 0.0 | Date Revised: Summer 01 | ||||||||
| Catalog Course Description: | |||||||||
| This course includes the study of quadratics, rational and radical functions and their graphs, polynomial expressions, quadratic equations and inequalities, rational expressions and equations, radical expressions and equations, and related applications. The TI-83 or TI-83 Plus calculator is required and used throughout the course. | |||||||||
| Entry Level Standards: | |||||||||
| Satisfactory completion of DSPR 0700 or equivalent placement test score | |||||||||
| Prerequisite: | |||||||||
| DSPM 0800 or equivalent math placement score | |||||||||
| Textbook(s) and Other Reference Materials Basic to the Course: | |||||||||
| Thomasson/Pesut, Experiencing
Algebra, Prentice Hall Publishing Company, 1999.
TI-83 or TI-83 Plus graphics calculator. A symbolic manipulator such as the TI-89 or TI-92 is not permitted. |
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| I. Week/Unit/Topic Basis: | |||||||||
| Week | Topic | ||||||||
| 1 | Introduction to polynomials, 9.1; polynomial functions and their graphs, 9.2; quadratic functions and their graphs, 9.3 | ||||||||
| 2 | Writing quadratic functions, 9.4; calculator/group work/modeling activities; review; Test 1 | ||||||||
| 3 | Rules for exponents, 10.1; polynomial operations, 10.2; polynomial multiplication, 10.3; Test 2 | ||||||||
| 4 | Common factors and factoring by grouping, 10.4; factoring trinomials, 10.5 | ||||||||
| 5 | General strategies for factoring, 10.6; calculator/group work/modeling activities; review; Test 3 | ||||||||
| 6 | Solving equations numerically and graphically, 11.1; solving equations algebraically by factoring, 11.2; solving quadratic equations by using square roots, 11.3 | ||||||||
| 7 | Solving quadratic equations by completing the square, 11.4; solving quadratic equations by quadratic formula, 11.5; more real-world models, 11.6 | ||||||||
| 8 | Solving quadratic inequalities, 11.7; calculator/group work/modeling activities; review; Test 4 | ||||||||
| 9 | Rational expressions and functions, 12.1; multiplication and division of rational expressions, 12.2 | ||||||||
| 10 | Addition and subtraction of rational expressions, 12.3; solving rational equations in one variable numerically and graphically, 12.4; solving rational equations with one variable algebraically, 12.5; calculator/group work/modeling activities | ||||||||
| 11 | More real-world models, 12.6; calculator/group work/modeling activities; review; Test 5 | ||||||||
| 12 | Evaluating radical expressions and expressions containing rational exponents, 13.1; radical functions and their graphs, 13.2; properties of rational exponents, 13.3 | ||||||||
| 13 | Properties of radicals, 13.4; operations on radicals, 13.5; solving radical equations in one variable numerically and graphically, 13.6 | ||||||||
| 14 | Solving radical equations algebraically, 13.7; calculator/group work/modeling activities; review; Test 6 | ||||||||
| 15 | Review and Final Exam | ||||||||
| 16 | Final Exam Retesting | ||||||||
| II. Course Objectives*: | |||||||||
| DSPM 0850 is a mathematics course in the TBR mandated Developmental Studies program. The program is designed to provide students with skills which support their success in college-level curricula and enable them to achieve their educational goals. Students who complete the developmental studies program will experience about the same or better success in college-level classes as students who did not need to enroll in developmental courses. | |||||||||
| A. | Use function notation: evaluate, determine the domain, and graph a function. VI.3,5 | ||||||||
| B. | Solve quadratic equations and inequalities algebraically, numerically, or graphically. VI.4,5 | ||||||||
| C. | Solve equations with rational or radical expressions algebraically, numerically, or graphically. VI.4,5 | ||||||||
| D. | Model word problems algebraically. VI.2,5 | ||||||||
| E. | Interpret graphical information. VI.1 | ||||||||
| F. | Simplify and evaluate algebraic expressions and formulas. VI.5 | ||||||||
| *Roman numerals after course objectives reference goals of the university parallel program. | |||||||||
| III. Instructional Processes*: | |||||||||
| Students will: | |||||||||
| 1. | Use graphing calculators and/or computer software to graph functions, solve polynomial, rational, radical equations and quadratic inequalities, and simplify expressions with rational exponents and radicals. Technological Literacy Outcome | ||||||||
| 2. | Engage in collaborative activities, e.g., modeling projects, teamwork, presentations, and/or other activities involving linear, quadratic, rational, and/or radical functions. Problem Solving and Decision Making Outcome, Numerical Literacy Outcome, Transitional Strategy, Active Learning Strategy | ||||||||
| 3. | Use multiple approaches--physical, numerical, graphical, symbolic, and verbal--to solve polynomial, rational, and radical equations. Numerical Literacy Outcome | ||||||||
| 4. | Participate in interactive discovery exercises that lead to the development of mathematical relationships. Active Learning Strategy | ||||||||
| *Strategies and outcomes listed after instructional processes reference Pellissippi State’s goals for strengthening general education knowledge and skills, connecting coursework to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process. | |||||||||
| IV. Expectations for Student Performance*: | |||||||||
| Upon successful completion of this course, the student should be able to: | |||||||||
| 1. | Simplify an expression with rational exponents. F | ||||||||
| 2. | Rewrite a polynomial as a product of factors or state that the polynomial "cannot be factored". F | ||||||||
| 3. | Rewrite a rational expression in simplest form and determine the domain. F,A | ||||||||
| 4. | Perform indicated operations on expressions with algebraic fractions. F | ||||||||
| 5. | Find an acceptable solution set for equations or word problems with algebraic fractions. C | ||||||||
| 6. | Evaluate and simplify a radical expression. F | ||||||||
| 7. | Find an acceptable solution set for equations or word problems with radicals. C | ||||||||
| 8. | Find an acceptable solution set for equations or word problems with quadratics. C | ||||||||
| 9. | Calculate the distance between two points using the distance formula. F | ||||||||
| 10. | Solve a quadratic inequality and graph the solution. B | ||||||||
| 11. | Evaluate, determine the domain, and graph a linear, radical, rational, or quadratic function. A | ||||||||
| 12. | Model and solve word problems with quadratic, rational, or radical equations. D,B | ||||||||
| *Letters after performance expectations reference the course objectives listed above. | |||||||||
| V. Evaluation: | |||||||||
| A. Testing Procedures: | |||||||||
| Students
have a maximum of three attempts to pass each chapter test. If the
student does not achieve 80% proficiency within three attempts, he/she
fails the course. Two attempts will be allowed to achieve 70% proficiency
on the final exam. If a student does not achieve 70% within
two attempts, he/she fails the course.
If a student requires multiple attempts to achieve the required 80% on the chapter tests, the scores on the attempts will be averaged. The student will receive the average of the attempts or 80%, whichever is higher. If a student requires a second attempt on the final exam to achieve the required 70%, the two attempts will be averaged. The student will receive the average of the two attempts or 70%, whichever is higher. |
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| B. Laboratory Expectations: None | |||||||||
| C. Field Work: None | |||||||||
| D. Other Evaluation Methods: | |||||||||
| Evaluation will be based on class participation, homework, and projects as outlined on the syllabus supplement distributed by the instructor. | |||||||||
| E. Grading Scale: | |||||||||
| Unless
otherwise stated on the syllabus supplement, the course grade will be the
average of the individual chapter exams and the final exam.
A
= 94 - 100
To pass the course, the student must:
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| VI. Policies: | |||||||||
| A. Attendance Policy: | |||||||||
| Pellissippi State Technical Community College expects students to attend all scheduled instructional activities. As a minimum, students in all courses must be present for at least 75 percent of their scheduled class and laboratory meetings in order to receive credit for the course. Students who miss more than the equivalent of one week of class are not eligible for an “I” or “E” grade and are in jeopardy of failing the course. | |||||||||
| B. Academic Dishonesty: | |||||||||
| Academic
dishonesty in any form is prohibited and will be dealt with severely.
Penalties range from an F or a zero for the specific project or examination
to automatic failure for the course for all
students involved. Individual instructors must distribute their policy on academic dishonesty during the first week of class. |
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| C. Withdrawal: | |||||||||
| Students
placed and enrolled in an DSPcourse are not permitted to withdraw except
for serious
circumstances. Students wishing to withdraw should discuss this matter first with their mathematics instructor and then must confer with a student development counselor. The counselor will notify the student of the decision to allow him/her to withdraw. |
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