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MASTER SYLLABUS |
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DSPM 0850 (formerly DSM 0840) |
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Class Hours: 3.0
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Credit Hours:
3.0
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Laboratory Hours:
0.0
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Date Revised:
Spring 03
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Catalog Course
Description:
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This course includes
the study of quadratics and rational functions and their graphs, polynomial
expressions, quadratic equations, rational expressions and equations, and
related applications. The T1-83 or T1-83 Plus calculator is required and
used throughout the course.
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Entry Level Standards:
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Satisfactory completion
of DSPR 0700 or equivalent placement test score
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Prerequisites:
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DSPM 0800 or equivalent
math placement score
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Textbook(s) and
Other Reference Materials Basic to the Course:
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Thomasson/Pesut,
Experiencing Algebra, Prentice Hall Publishing Company, 1999.
T1-83 or T1-83 Plus graphics calculator. A symbolic manipulator such as the T1-89 or T1-92 is not permitted. |
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I. Week/Unit/Topic
Basis:
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Week
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Topic
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1
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Introduction to polynomials,
9.1; polynomial functions and their graphs, 9.2.
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2
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Quadratic functions
and their graphs, 9.3
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3
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Review; Test 1 Rules
for exponents, 10.1
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4
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Polynomial operations,
10.2; polynomial multiplication, 10.3.
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5
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Review, Test 2
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6
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Common factors and
factoring by grouping, 10.4; factoring trinomials, 10.5
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7
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General strategies
for factoring, 10.6
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8
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Review; Test 3; solving
equations numerically and graphically, 11.1
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9
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Solving equations
algebraically by factoring, 11.2; solving quadratic equations by using
square root, 11.3
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10
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Solving quadratic
equations by completing the square, 11.4; solving quadratic equations by
quadratic formula, 11.5
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11
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More real-world models,
11.6; review; Test 4
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12
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Rational expressions
and functions, 12.1; multiplication and division of rational expressions,
12.2
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13
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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
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14
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More real-world models,
12.6; review; Test 5
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15
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Review and Final
Exam
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16
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Final Exam Retesting
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II. Course Objectives*:
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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.
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A.
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Use function notation:
evaluate, determine the domain, and graph a function. VI.3, 5
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B.
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Solve quadratic equations
and inequalities algebraically, numerically, or graphically. V1.4,5
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C.
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Solve equations with
rational expressions algebraically, numerically, or graphically. VI.4,
5
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D.
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Model work problems
algebraically. V1.2, 5
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E.
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Interpret graphical
information. V1.1
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F.
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Simplify and evaluate
algebraic expressions and formulas. V1.5
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*Roman numerals after
course objectives reference goals of the university parallel program.
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III. Instructional
Processes*:
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Students will:
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1.
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Use graphing calculators
and /or computer software to graph functions, solve polynomial and rational
equations. Technological Literacy Outcome
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2.
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Engage in collaborative
activities, e.g., modeling projects, teamwork, presentations, and/or other
activities involving linear, quadratic, and/or rational functions.
Problem Solving and Decision Making Outcome, Numerical Literacy Outcome,
Transitional Strategy, Active Learning Strategy
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3.
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Use multiple approaches—physical,
numerical, graphical, symbolic, and verbal—to solve polynomial and rational
equations. Numerical Literacy Outcome
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4.
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Participate in interactive
discovery exercises that lead to the development of mathematical relationships.
Active Learning Strategy
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*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.
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IV. Expectations
for Student Performance*:
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Upon successful completion
of this course, the student should be able to:
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1.
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Rewrite a polynomial
as a product of factors or state that the polynomial “cannot be factored”.
F
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2.
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Rewrite a rational
expression in simplest form and determine the domain. F, A
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3.
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Perform indicated
operations on expressions with algebraic fractions. F
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4.
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Find an acceptable
solution set for equations or word problems with algebraic fractions.
C
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5.
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Find an acceptable
solution set for equations or word problems with quadratics. C
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6.
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Calculate the distance
between two points using the distance formula. F
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7.
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Evaluate, determine
the domain, and graph a linear, rational, or quadratic function.
A
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8.
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Model and solve word
problems with quadratic or rational equations. D, B
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*Letters after performance
expectations reference the course objectives listed above.
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V. Evaluation:
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A. Testing Procedures:
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Students have a maximum of two attempts on each
chapter test and the final exam. If a student retests a chapter test,
their grade for the test will be determined as follows:
a)
If one of the scores is 80 or above, the student will receive the average
or 80, whichever is higher.
b) If both scores are less than 80, the student receives the highest grade. The student must score at least 70 on the final exam to pass the course. If the student does not make at least 70 on the first attempt of the final exam given in class, the student must retest during the final exam period. If the student does not make the required grade of at least 70 on one of the two attempts, the student fails the course. If the student takes the final exam twice and makes at least 70 on one attempt, the grade will be the average of the two grades or 70, whichever is higher. |
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B. Laboratory Expectations:
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N/A
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C. Field Work:
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N/A
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D. Other Evaluation
Methods:
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Evaluation will be
based on class participation, homework, and projects as outlined on the
syllabus supplement distributed by the instructor.
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E. Grading Scale:
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Unless
otherwise stated on the syllabus supplement, the course grade will be the
rounded average of the individual chapter exams and the final exam.
To
pass the course, the student must achieve both of the following:
A = 94-100
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VI. Policies:
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A. Attendance Policy:
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Pellissippi State
Technical Community College expects student to attend all scheduled instructional
activities. As a minimum, students in all courses must be present for at
least 75 percent of the 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.
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B. Academic Dishonesty:
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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:
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Students placed and
enrolled in a DSP course are not permitted to withdraw except for serious
documented 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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