ERIE COMMUNITY COLLEGE
ERIE COMMUNITY COLLEGE
COURSE OUTLINE
A. COURSE NUMBER AND TITLE : |
MT001 – BASIC MATHEMATICS |
B. CURRICULUM: |
Mathematics/Computer Science Unit Offering |
C. CATALOG DESCRIPTION: |
(C,N,S) (5,0) NON-CREDIT
Non-credit. A developmental course designed to improve the
confidence, study habits, and basic skills necessary for
subsequent mathematics or related coursework. Topics will
include: whole numbers (exponents, primes, factors); rational
numbers (ratios, proportions); decimals (percents, square roots );
measurements (US and metric), simple geometry and formulas,
integers; operations with simple algebraic expressions; basic
calculator skills; equations and word problems related to each
topic. This course does not apply toward the associate degree. |
D. DURATION OF INSTRUCTIONAL PERIOD: |
Two hundred fifty (250) minutes per week for
fifteen (15) weeks. |
E. ACADEMIC CREDIT HOURS: |
Five (5) (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 basic
computations with whole numbers, fractions,
decimals, percents, and integers.
2. Apply the rules for divisibility by 2, 3, and 5 when writing
the prime factors of whole numbers.
3. Convert fractions , decimals, and percents from one form to
another.
4. Convert between metric and U.S. systems of
measurement .
5. Apply the rules for rounding-off when estimating
appropriate answers.
6. Apply the order of operations to evaluate arithmetic
expressions.
7. Represent a comparison of data in ratio form and solve
proportions.
8. Evaluate perimeter, area, and volume formulas for basic
geometric figures.
9. Perform arithmetic of integers .
10. Solve simple linear equations involving one or two
operations.
11. Demonstrate a "sense of numbers" by determining if a
mathematical solution is "reasonable."
12. Present organized written work and show a check to avoid
careless mistakes.
13. Analyze and solve everyday problems that involve unit
pricing, rate of discount, and sales tax.
14. Perform mental arithmetic and use a calculator effectively,
when appropriate.
15. Read critically and think logically when solving applications
that involve whole numbers, fractions, decimals, and percents.
16. Technology Objectives:
a. Use the arithmetic operations on the scientific
calculator to solve applied problems (+, -, x, รท ).
b. Demonstrate an understanding of the Functions of
the keys:
c. Demonstrate 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 Outcomes: 1-16 |
K. ASSESSMENT OF STUDENT LEARNING: |
It is recommended that at least 5 hourly exams be
given during
the semester. Instructors are encouraged to use additional
methods of evaluation including: 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. Whole Numbers
A. Fundamental operations (addition, subtraction,
multiplication, division) with whole numbers
B. Rounding and estimating whole numbers
C. Divisibility rules for 2, 3, and 5
D. Primes and prime factorization
E. Order of operations and whole number exponents
F. Applications |
1 week |
II. Fractions
A. Reducing fractions to lowest terms
B. Multiplying fractions
C. Dividing fractions
D. Mixed numbers
E. Multiplying and dividing mixed numbers
F. Adding and subtracting like fractions
G. Lowest common denominator
H. Adding and subtracting unlike fractions
I. Adding and subtracting mixed numbers
J. Order of operations with fractions
K. Applications |
2 weeks |
III. Decimals
A. Decimal notation
B. Converting between fractions and decimals
C. Rounding and estimating decimals
D. Adding and subtracting decimals
E. Multiplying decimals
F. Dividing decimals
G. Order of operations with decimals
H. Applications |
1 week |
IV. Ratio and Proportions
A. Ratios
B. Writing proportions
C. Solving proportions
D. Applications |
1 week |
V. Percent
A. Converting between percents, decimals and fractions
B. Percent problems
C. Applications |
2 weeks |
VI. Measurement and Geometry
A. The U. S. measurement system
B. The metric measurement system
C. Converting between U.S. and metric measurements
D. Properties of squares, rectangles, parallelograms, triangles, and
trapezoids
E. Properties of circles, spheres, and cylinders
F. Perimeter, area, and volume formulas
G. Applications |
2 weeks |
VII. Introduction to Signed Numbers
A. Integers and the number line
B. Absolute value and additive inverse
C. Adding and subtracting integers and rationals
D. Multiplying and dividing integers and rationals
E. Order of operations with integers and rationals
F. Integer exponents and scientific notation (optional)
G. Applications |
2 weeks |
VIII. Solving Linear Equations
A. The addition-subtraction rule
B. The multiplication-division rule
C. Using a combination of rules
D. Using algebra to solve Applications |
2 weeks |
IX. Evaluation |
2 weeks |
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