C. CATALOG
DESCRIPTION:
A second course in a two-semester sequence intended to
prepare
developmental students for degree mathematics courses . Topics
include word problems, operations with rational expressions ,
graphing, systems of equations, quadratic equations, and
operations with radicals. This course does not apply toward an
associate degree. Prerequisites: MT006 or appropriate college
equivalent , and/or appropriate mathematics level code. Level code
is de termined by Mathematics Department placement test and/or
successful completion of mathematics courses.
D. DURATION OF
INSTRUCTIONAL
PERIOD:
One hundred fifty (150) minutes per week for fifteen (15)
weeks.
Three (3) College Credit Hours. Zero (0) Degree Credit Hours.
E. ACADEMIC
CREDIT HOURS:
3 (NOT FOR DEGREE CREDIT)
F. SUGGESTED TEXT/
COURSE MATERIALS:
See book specific outline. Scientific calculator required .
G. COURSE OUTCOMES:
Upon completion of this course, the student will be able
to:
1. Perform common, trinomial and perfect square factoring .
2. Perform fundamental operations with algebraic fractions,
simplify complex fractions and solve rational equations.
3. Sketch and inter pret the graphs of linear equations .
4. Determine the equation of a line using slope-intercept and
point-slope forms of a line.
5. Solve systems of linear equations by graphing, addition
and substitution methods.
6. Perform fundamental operations with square roots and
solve radical equations .
7. Solve quadratic equations by factoring and by quadratic
formula.
8. Demonstrate a "sense of numbers" by determining if a
mathematical solution is "reasonable."
9. Present organized written work and show a check to avoid
careless mistakes.
10. Perform mental arithmetic, use a calculator effectively to
solve and check mathematical calculations and determine
when each is appropriate.
11. Read critically and think logically when solving application
problems.
12. TECHNOLOGY OBJECTIVES:
i. Use the arithmetic operations on the scientific
calculator to solve algebraic and real world algebraic problems.
ii. Demonstrate an understanding of the keys:
key/inv key
iii. Demonstrate an understanding of order of operations on the
scientific calculator.
H. PROGRAM
COMPETENCIES:
See J. – ECC Graduate Learning Outcomes
I. SUNY General
Education Ten
Knowledge Areas:
Not Applicable
J. ECC Graduate Learning
Outcomes (GLO):
Apply appropriate mathematical procedures and quantitative
methods.
Related Course Objectives: 1-12
K. ASSESSMENT OF
STUDENT LEARNING:
It is recommended that at least 3 hourly exams be given
during
the semester. Instructors are encouraged to use additional
methods of evaluation to include: weekly quizzes, graded
assignments, and take-home tests. It is helpful to include review
questions in exams throughout the course.
L. LIBRARY RESOURCES:
Library project is optional for this course.
| M. TOPICAL OUTLINE |
INSTRUCTIONAL
PERIODS: |
I. Review of factoring
A. Common Factor
B. Factoring by grouping
C. Factoring trinomials
D. Factoring perfect squares |
1/2 week |
II. Algebraic Fractions
A. Reducing algebraic fractions
B. Fundamental operations with algebraic fractions
C. Complex fractions
D. Solving fractional equations
E. Applications |
4 weeks |
III. Graphing
A. Cartesian coordinate system
B. Graphing linear equations
C. Slope-intercept form
D. Point-slope form
E. Applications |
2-1/2 weeks |
IV. System of Two Linear Equations with Two
Unknowns
A. Solution by graphing
B. Solution by addition method
C. Solution by substitution method
D. Applications |
2 weeks |
V. Square Roots
A. Definition and properties
B. Simplifying square roots
C. Fundamental operations with square roots
D. Radical equations
E. Applications |
3 weeks |
VI. Quadratic Equations
A. Definition and properties
B. Square root property
C. Completing the square (optional)
D. Solution by factoring
E. Quadratic formula
F. Graphing quadratic equations (optional)
G. Applications |
2 weeks |
| VII. Evaluation |
1 week |