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Class Hours: 5.0 | Credit Hours: 5.0 | ||||||||
Laboratory Hours: 0.0 | Date Revised: Fall 1998 | ||||||||
Catalog CourseDescription: | |||||||||
This course includesthe study of quadratics, rational & radical functions and their graphs, polynomial expressions, quadratic equations and inequalities, rationalexpressions and equations, radical expressions and equations, and related applications. The TI-83 or TI-83 Plus calculator is requiredand used throughout the course. | |||||||||
Entry Level Standards: | |||||||||
Satisfactorycompletion of RSR 0710 or equivalent math placement test score | |||||||||
Prerequisite: | |||||||||
DSM 0830 orequivalent math placement score | |||||||||
Textbook(s) andOther Reference Materials Basic to the Course: | |||||||||
Thomasson/Pesut, ExperiencingAlgebra, Prentice Hall Publishing Company, 1999. TI-83 or TI-83 Plus graphics calculator. A symbolicmanipulator such as the TI-89 or TI-92 is not permitted. | |||||||||
I. Week/Unit/TopicBasis: | |||||||||
Week | Topic | ||||||||
1 | Introduction to polynomials,9.1; polynomial functions and their graphs, 9.2; quadratic functions and their graphs, 9.3 | ||||||||
2 | Writing quadraticfunctions, 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 andfactoring by grouping, 10.4; Factoring Trinomials, 10.5 | ||||||||
5 | General strategiesfor factoring, 10.6; Calculator/Group Work/Modeling Activities; review;Test 3 | ||||||||
6 | Solving equationsnumerically and graphically, 11.1; solving equations algebraically by factoring, 11.2; solving quadratic equations by usingsquare roots, 11.3 | ||||||||
7 | Solving quadraticequations by completing the square, 11.4; solving quadratic equations by quadratic formula, 11.5; more real-world models, 11.6 | ||||||||
8 | Solving quadraticinequalities, 11.7; Calculator/Group Work/Modeling Activities; review;Test 4 | ||||||||
9 | Rational expressionsand functions, 12.1; multiplication and division of rational expressions, 12.2 | ||||||||
10 | Addition and subtractionof rational expressions, 12.3; solving rational equations in onevariable numerically and graphically, 12.4; solving rational equationswith 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 radicalexpressions and expressions containing rational exponents, 13.1; radicalfunctions 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 variablenumerically and graphically, 13.6 | ||||||||
14 | Solving radical equationsalgebraically, 13.7; Calculator/Group Work/Modeling Activities; review; Test 6 | ||||||||
15 | Review and final exam | ||||||||
16 | Final exam retesting. | ||||||||
II. Course Objectives*: | |||||||||
DSM 0840 is a mathematicscourse in the TBR mandated R/D program. The program isdesigned to provide students with skills which support their success incollege-level curricula and enable them to achieve their educationalgoals. Students who complete the R/D program willexperience about the same or better success in college- level classesas students who did not need to enroll in developmental courses. | |||||||||
A. | Use function notation:evaluate, determine the domain, and graph a function. III, V | ||||||||
B. | Solve quadratic equationsand inequalities algebraically, numerically, or graphically.V,IV | ||||||||
C. | Solve equations withrational or radical expressions algebraically, numerically, or graphically. V,IV | ||||||||
D. | Model word problemsalgebraically. II,V | ||||||||
E. | Interpret graphicalinformation. I | ||||||||
F. | Use a calculator tosupport problem solving. GE-V.6 | ||||||||
G. | Simplify and evaluatealgebraic expressions and formulas. V | ||||||||
*Roman numerals after courseobjectives reference goals of the Math department. | |||||||||
III. InstructionalProcesses*: | |||||||||
Students will: | |||||||||
1. | Use graphing calculatorsand/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 collaborativeactivities, 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 interactivediscovery exercises that lead to the development of mathematicalrelationships. Active Learning Strategy | ||||||||
*Strategies and outcomeslisted after instructional processes reference Pellissippi States goalsfor strengthening general education knowledge and skills, connecting courseworkto experiences beyond the classroom, and encouraging students to take activeand responsible roles in the educational process. | |||||||||
IV.Expectations for Student Performance*: | |||||||||
Upon successful completionof this course, the student should be able to: | |||||||||
1. | Simplifyan expression with rational exponents. G | ||||||||
2. | Rewritea polynomial as a product of factors or state that the polynomial "cannot be factored". G | ||||||||
3. | Rewritea rational expression in simplest form and determine the domain G,A | ||||||||
4. | Performindicated operations on expressions with algebraic fractions. G | ||||||||
5. | Find anacceptable solution set for equations or word problems with algebraic fractions. C,F | ||||||||
6. | Evaluateand simplify a radical expression. G | ||||||||
7. | Find anacceptable solution set for equations or word problems with radicals. C,F | ||||||||
8. | Find anacceptable solution set for equations or word problems with quadratics. C,F | ||||||||
9. | Calculatethe distance between two points using the distance formula. G | ||||||||
10. | Solvea quadratic inequality and graph the solution. B,F | ||||||||
11. | Evaluate,determine the domain, and graph a linear, radical, rational, or quadratic function. A,F | ||||||||
12. | Modeland solve word problems with quadratic, rational, or radical equations. D,B,F | ||||||||
*Letters after performanceexpectations reference the course objectives listed above. | |||||||||
V.Evaluation: | |||||||||
A. TestingProcedures: | |||||||||
Studentshave a maximum of three attempts to pass each chapter test. If thestudent does not achieve 80% proficiency within three attempts, he/shefails the course. Two attempts will be allowed to achieve 60% proficiencyon the final exam. If a student does not achieve 60% withintwo attempts, he/she fails the course. If a student requires multiple attempts to achieve therequired 80% on the chapter tests, the scores onthe 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 examto achieve the required 60%, the two attempts willbe averaged. The student will receive the averageof the two attempts or 60%, whichever is higher. | |||||||||
B. LaboratoryExpectations: None | |||||||||
C. FieldWork: None | |||||||||
D. OtherEvaluation Methods: | |||||||||
Evaluationwill be based on class participation, homework, and projects as outlinedon the syllabus supplement distributed by the instructor. | |||||||||
E. GradingScale: | |||||||||
Unlessotherwise stated on the syllabus supplement, the course grade will be theaverage of the individual chapter exams and the final exam. A = 94 - 100 To pass the course, the student must: | |||||||||
VI.Policies: | |||||||||
A. AttendancePolicy: | |||||||||
PellissippiState Technical Community College expects students to attend all scheduledinstructional activities. As a minimum, students in all courses mustbe present for at least 75 percent of their scheduled class and laboratorymeetings in order to receive credit for the course. Students whomiss more than the equivalent of one week of class are not eligible foran I or E grade and are in jeopardy of failing the course. | |||||||||
B. AcademicDishonesty: | |||||||||
Academicdishonesty in any form is prohibited and will be dealt with severely. Penalties range from an F or a zero for the specific project or examinationto automatic failure for the course for all students involved. Individual instructors mustdistribute their policy on academic dishonesty during the first week ofclass. | |||||||||
C. TwoAttempt Rule: | |||||||||
Accordingto TBR policies, a student must complete this course within two semestersof enrollment or be suspended from all TBR schools for one semester. A final grade of A, B, C, E, F, I, or W counts as one attempt. Withdrawal: |