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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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Revised: Fall
04
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NOTE:This
course is designed for transfer credit.
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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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ACT
Math placement score of 17 or 18 or equivalent math placement score; or
DSPM 0800
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Textbook(s) and
Other Course Materials:
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Textbook:
Thomasson/Pesut,
Experiencing Algebra, Prentice Hall Publishing Company, 2003.
A
graphics calculator is required. The TI-83 or TI-83 Plus graphics calculator
is recommended.A symbolic manipulator
such as the TI-89 or TI-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, 8.1; Operations involving non-negative exponents, 9.1
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2
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Operations
involving negative exponents, 9.2; Polynomial addition/subtraction, 9.3;
Polynomial multiplication, 9.4; Polynomial division and applications, 9.5
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3
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Review;
TEST 1; GCF and grouping, 10.1
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4
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Factoring
trinomials (trial and error), 10.3; Factoring trinomials (grouping), 10.4
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5
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Special
cases, 10.2; General strategies, 10.5; Review
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6
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TEST
2; Solve quadratics numerically and graphically, 11.1; Solve quadratics
algebraically, 11.2; Square roots, 11.3
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7
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Solve
quadratics using the Principle of square roots, 11.3; Pythagorean theorem,
11.3; Distance formula, 13.1; Solve for a variable, 11.6; Solve using Quadratic
Formula, 11.5
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8
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Review
11.2/11.3/11.5; Review; TEST 3
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9
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Quadratic
functions and graphs; Cost-revenue-profit applications
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10
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Vertical
position formula applications; Review; TEST 4
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11
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Graphing
rational functions, 12.1; Multiplication/division of rational expressions,
12.2; Adding rational expressions, 12.3
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12
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Subtracting
rational expressions, 12.3; Solving rational equations, 12.4; More real
world applications, 12.5
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13
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Review
12.2/12.3/12.4; Review; TEST 5
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14
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Review
for final; Review for final
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15
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Final Exam
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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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Simplify
and evaluate expressions and formulas. VI.5
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B.
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Factor
polynomial expressions. VI.1
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C.
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Solve
quadratic equations algebraically, numerically, or graphically. VI.4,5
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D.
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Model
word problems algebraically.VI.2,5
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E.
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Use
function notation: evaluate, determine the domain and range, and graph
a function. VI.3,5
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F.
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Interpret
graphical information. VI.1,3,6
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G.
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Solve
rational equations algebraically, numerically, or graphically. VI.4,5
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*Roman
numerals after course objectives reference TBR's general education goals.
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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. Mathematics
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. Mathematics
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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5.
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Actively
engage in quadratic modeling project that connects 0850 to entry-level
college mathematics courses. Mathematics Outcomes, Transitional Strategy,
Active Learning Strategy
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*Strategies and outcomes
listed after instructional processes reference TBR’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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Simplify
an exponential expression with positive and negative exponents using the
rules of exponents. A
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2.
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Add,
subtract, multiply and divide polynomial expressions. A
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3.
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Rewrite
a polynomial as a product of factors using GCF, trial and error, grouping,
perfect trinomial squares, difference of squares or state that the polynomial
"cannot be factored." B
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4.
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Simplify
a square root using the product and quotient rule. A
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5.
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Find
an acceptable solution set for equations with quadratics numerically, graphically,
algebraically by factoring, using square roots, or the quadratic formula.
C, D
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6.
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Calculate
the distance between two points using the distance formula. D
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7.
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Find
a missing side on a triangle using the Pythagorean Theorem. D
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8.
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Evaluate,
determine the domain and range, and graph a linear, quadratic and rational
function. A, E
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9.
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Interpret
important characteristics of a polynomial function, quadratic function
and their graphs. F
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10.
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Model
and solve word problems with quadratic and rational equations. C, D, F
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11.
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Rewrite
a rational expression in simplest form. A
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12.
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Add,
subtract, multiply and divide rational expressions. A
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13.
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Find
an acceptable solution set for equations with rational expressions. G
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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:
b) If both scores are less than 80, the student receives the highest grade. |
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B. Laboratory Expectations:
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As
assigned by instructor.
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C. Field Work:
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As
assigned by instructor.
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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
average of the individual chapter exams and the final exam.
A=94
- 100 B=87-93 C=78-86 F=below
78 To
pass the course, the student must: 1.Achieve
at least 70% proficiency on the final exam 2.Achieve
a course average of 78% or better |
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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.
Accommodations for disabilities:
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If
you need accommodation because of a disability, if you have emergency medical
information
to share, or if you need special arrangements in case the building must
be evacuated,
please inform the instructor immediately.Privately
after class or in the instructor's
office. To
request accommodations students must register with Services for Students
with Disabilities:
Goins 127 or 131, Phone: (865) 539-7153 or (865) 694-6751 Voice/TDD. |
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D. Other
Policies
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Withdrawal:
Students
placed and enrolled in a DSP course are not permitted to withdraw excepts
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. Make-up
Work: Instructor
discretion about make-up tests and/or assignments. Cell
phones: Cellular
telephones and paging devices are to be turned off or put on vibration
mode while in class. Instructor discretion as to penalty. |
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