A second course in a two-semester sequence intended to
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
One hundred fifty (150) minutes per week for fifteen (15)
Three (3) College Credit Hours. Zero (0) Degree Credit Hours.
Upon completion of this course, the student will be able
1. Perform common, trinomial and perfectsquare 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
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
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
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:
iii. Demonstrate an understanding of order of operations on the
See J. – ECC Graduate Learning Outcomes
I. SUNY General
J. ECC Graduate Learning
Apply appropriate mathematical procedures and quantitative
Related Course Objectives: 1-12
K. ASSESSMENT OF
It is recommended that at least 3 hourly exams be given
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
I. Review of factoring
A. Common Factor
B. Factoring by grouping
C. Factoring trinomials
D. Factoring perfect squares
II. Algebraic Fractions
A. Reducing algebraic fractions
B. Fundamental operations with algebraic fractions
C. Complex fractions
D. Solving fractional equations
A. Cartesian coordinate system
B. Graphing linear equations
C. Slope-intercept form
D. Point-slope form
V. Square Roots
A. Definition and properties
B. Simplifying square roots
C. Fundamental operations with square roots
D. Radical equations
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)