NEW YORK CITY COLLEGE OF TECHNOLOGY
The City University of New York
DEPARTMENT:
Mathematics
COURSE:
MAT 0630
TITLE:
Elementary Algebra with Basic Mathematics Review
DESCRIPTION:
Fundamentals of elementary algebra with an
integrated review and reinforcement of arithmetic
skills. Topics include the real number system,
numerical evaluation, algebraic operations, algebraic
and graphical solutions of one and two variable linear
equations, word problems, algebraic fractions,
quadratic equations and the Pythagorean Theorem.
TEXT:
Beginning Algebra, 8th Edition,
Baratto and Bergman
CREDITS:
7 class hours, 0 credits
PREREQUISITES:
New student: A score of 21 or less on the Algebra
part of the CUNY Mathematics Placement Test;
Continuing student: R or withdrawal grade in MAT
0630
Prepared by: Peter Deraney
A.
Testing/Assessment Guidelines:
1.
2.
3.
4.
5.
B.
Class Average, based on class exams, quizzes, homework and classwork
= 30% of course average
Departmental Final Exam = 35% of course average
CUNY Elementary Algebra Final Exam (CEAFE) = 35% of course average
Course Average = 30% of Class Average + 35% of Dept. Final + 35% of CEAFE
To pass the MAT0630 course with a grade of S, a student must attain
a. An overall Course Average ≥ 70, AND
b. A score ≥ 56 on the Department Final Exam
Use of a calculator is not permitted in this course.
Course Intended Learning Outcomes/Assessment Methods
Learning Outcomes
Assessment Methods
1. Evaluate numerical and algebraic expressions, formulas, and
functions involving rational numbers in integer, fractional,
decimal, and scientific notation form.
Classroom activities and discussion, homework,
exams.
2. Perform operations with and simplify polynomial, rational,
and radical expressions.
Classroom activities and discussion, homework,
exams.
3. Solve one variable linear and factorable quadratic equations.
Classroom activities and discussion, homework,
exams.
Classroom activities and discussion, homework,
exams.
4. Find and graph solutions to two variable linear equations
5. Derive a two variable linear equation given the slope and yintercept, the slope and a point, or two points on its line graph.
Classroom activities and discussion, homework,
exams.
6. Solve systems of two variable equations graphically and
algebraically.
Classroom activities and discussion, homework,
exams.
7. Students will be able to apply their knowledge of algebra to
solve verbal problems including profit and loss, ratios and
proportions, percent, time-rate-distance, and simple geometric
problems involving area, perimeter, circumference, and the
Pythagorean Theorem.
Classroom activities and discussion, homework,
exams.
General Education Learning Outcomes/Assessment Methods
Learning Outcomes
Assessment Methods
1. Understand and employ both quantitative and qualitative
analysis to solve problems.
Classroom activities and discussion, homework,
exams.
2. Employ scientific reasoning and logical thinking.
Classroom activities and discussion, homework,
exams.
3. Communicate effectively using written and oral means.
Classroom activities and discussion, homework,
exams.
4. Use creativity to solve problems.
Classroom activities and discussion, homework,
exams.
Mathematics Department Policy on Lateness/Absence
A student may be absent during the semester without penalty for 10% of the class
instructional sessions. Therefore,
If the class meets:
The allowable absence is:
1 time per week
2 absences per semester
2 times per week
3 absences per semester
Students who have been excessively absent and failed the course at the end of the
semester will receive either

the WU grade if they have attended the course at least once. This includes students
who stop attending without officially withdrawing from the course.

the WN grade if they have never attended the course.
In credit bearing courses, the WU and WN grades count as an F in the computation of the
GPA. While WU and WN grades in non-credit developmental courses do not count in the
GPA, the WU grade does count toward the limit of 2 attempts for a developmental course.
The official Mathematics Department policy is that two latenesses (this includes
arriving late or leaving early) is equivalent to one absence.
Every withdrawal (official or unofficial) can affect a student’s financial aid status, because
withdrawal from a course will change the number of credits or equated credits that are
counted toward financial aid.
New York City College of Technology Policy on Academic Integrity
Students and all others who work with information, ideas, texts, images, music, inventions,
and other intellectual property owe their audience and sources accuracy and honesty in
using, crediting, and citing sources. As a community of intellectual and professional
workers, the College recognizes its responsibility for providing instruction in information
literacy and academic integrity, offering models of good practice, and responding
vigilantly and appropriately to infractions of academic integrity. Accordingly, academic
dishonesty is prohibited in The City University of New York and at New York City
College of Technology and is punishable by penalties, including failing grades,
suspension, and expulsion. The complete text of the College policy on Academic Integrity
may be found in the catalog.
NEW YORK CITY COLLEGE OF TECHNOLOGY of the City University of New York
Revised 8/13
MAT0630 Course Outline
Text: Beginning Algebra, 8th Edition by Baratto and Bergman
Class
1
Topic
Introduction to Course Requirements and Policies
ARITHMETIC REVIEW
a. Whole Number Factors and Multiples
b. Fractions and Mixed Numbers
Text
Homework Assignment
Purchase Textbook and Notebook
Chapter 0: 0.1
Chapter 0: 0.2
R 16-19: 1-11 (odd), 41-69 (every 4th)
R 32-33: 1-41 (odd)
2
c.
d.
Fractions and Mixed Numbers (cont.)
Decimals
Chapter 0: 0.2
Chapter 0: 0.3
R 33-35: 43-81 (odd)
R 47-49: 1-61 (odd)
3
e.
f.
Percents
Exponents and the Order of Operations
Chapter 0: 0.3
Chapter 0: 0.4
R 49-50: 65-101 (odd)
R 59-60: 1-8 (all), 9-43 (odd)
Study for Test 1: Arithmetic Review
Chapter 0:
Chapter 1:
Chapter 1:
Chapter 1:
R 68-60: 1-6 (all), 7-51 (odd)
Pg. 8: 21-53 (odd)
Pg. 18: 1-29 (odd)
Pg. 19-21: 31- 81(odd)
4
5
SIGNED NUMBERS AND NUMERICAL
EVALUATION
a. Signed Numbers and Absolute Value
b. Properties of Real Numbers
c. Addition of Signed Numbers
d. Subtraction of Signed Numbers
Test #1: Arithmetic Review
e.
f.
g.
6
Multiplication of Signed Numbers
Division of Signed Numbers
Combined Operations with Signed Numbers
h From English to Algebra
i. Evaluating Algebraic Expressions and Formulas
j. Geometric Applications
0.5
1.1
1.2
1.2
Chapter 1: 1.3
Chapter 1: 1.3
Chapter 1: 1.3
Pg. 34: 1-29 (odd)
Pg. 34-35: 31-45 (odd)
Pg. 35: 47-75 (odd)
Chapter 1: 1.4
Chapter 1: 1.5
Handout
Pg. 44-46: 1-73 (every 4th)
Pg.55-56: 1-41 (odd)
Practice Sheet
7
8
9
Study for Test 2: Signed Numbers and
Numerical Evaluation
ALGEBRAIC EXPRESSIONS
a. Exponents and Polynomials
b. Negative Exponents and Scientific Notation
Test #2: Signed Numbers and Numerical Evaluation
c.
d.
e.
f.
g.
h.
Adding and Subtracting Algebraic Terms
Adding and Subtracting Polynomials
Multiplying Algebraic Terms
Multiplying Polynomials
Dividing Algebraic Terms
Dividing Polynomials
Chapter 3: 3.1
Chapter 3: 3.2
Pg. 193-195: 1-29(every 4th), 33-67 (odd)
Pg. 205-208: 1-35 (odd), 71-91(odd)
Chapter 1:
Chapter 3:
Chapter 1:
Chapter 3:
Chapter 1:
Chapter 3:
Pg. 64-66: 1-31 (odd), 39-55 (odd)
Pg. 216-217: 1-37 (odd)
Pg. 72: 1-35 (odd)
Pg. 230-233: 1-77 (every 4th), 85, 86, 87
Pg. 72-73: 37-53 (odd)
Pg. 242: 1-20 (all)
1.6
3.3
1.7
3.4
1.7
3.5
10
Study for Test #3: Algebraic Expressions
and Scientific Notation
ONE VARIABLE LINEAR EQUATIONS AND
INEQUALITIES
a. Checking a Solution
b. Solving by the Addition Property
c. Solving by the Multiplication Property
d. Combining the Rules to Solve Equations
11
Chapter 2:
Chapter 2:
Chapter 2:
Chapter 2:
2.1
2.1
2.2
2.3
Pg. 98: 1-21 (odd)
Pg. 98-99: 31-49 (odd), 69, 73
Pg. 107: 1-18 (all)
Pg. 118-119: 1-43 (odd),55,65,67
Test #3: Algebraic Expressions and Scientific
Notation
e. Solving Equations with Fractions
f.
Solving Equations with Decimals
Handout
Chapter 5: 5.6
Handout
Chapter 2: 2.2
Practice Sheet
Pg. 383-384: 19-33 (odd)
Practice Sheet
Pg. 108: 41-48
Class
12
Topic
g. Solving a Literal Equation for a Specified Variable
h. Applications: Unknown Number Problems
Text
Chapter 2: 2.4
Chapter 2: 2.4
Homework Assignment
Pg. 131-132: 1-23 (odd)
Pg. 132-133: 31-53 (odd)
13
i. Applications: Ratio and Proportion Problems
j. Applications: Percent Problems
k. Applications: Time, Rate, Distance Problems
Handout
Chapter 2: 2.5
Handout
Practice Sheet
Pg. 149-151: 35-59 (odd)
Practice Sheet
14
l. Applications: Geometry Problems
m. Linear Inequalities
Handout
Chapter 2: 2.6
Practice Sheet
Pg. 164-166: 41-75 (odd)
Review for Test #4 One Variable Linear
Equations and Inequalities
Chapter 4: 4.1
Pg. 266-268: 21-69 (odd)
Chapter 4: 4.2
Pg. 277-278: 11-55 (odd)
Chapter 4:
Chapter 4:
Chapter 4:
Chapter 4:
Pg. 294-297: 41-101(every 4th)
Pg. 302-303: 11-41 (odd)
Pg. 310-311: 1-21 (odd)
Pg. 316-317: 1-41 (odd)
Review for Test #5: Factoring and
Quadratic Equations
15
FACTORING AND QUADRATIC EQUATIONS
a.
16
17
Factoring a Monomial from a Polynomial and
Factoring by Grouping
b. Factoring Trinomials of the form x2 + bx + c
Test #4: One Variable Linear Equations and
Inequalities
c.
d.
e.
f.
Factoring Trinomials of the form ax2 + bx + c
Difference of Square Factoring
Mixed Factoring
Solving Equations by Factoring
4.3
4.4
4.5
4.6
18
TWO VARIABLE LINEAR EQUATIONS
19
20
21
a. Solution to Two Variable Equations
b. Rectangular Coordinate System
c. Graphing Linear Equations
Test #5: Factoring and Quadratic Equations
Chapter 6: 6.1
Chapter 6: 6.2
Chapter 6: 6.3
Pg. 417-418: 1-27 (odd)
Pg. 428-429: 1-21 (odd)
Pg. 452-456: 1-33 (every 4th)
d.
e.
f.
g.
h.
i.
Chapter 6:
Chapter 7:
Chapter 7:
Chapter 7:
Chapter 8:
Chapter 8:
Pg. 476-478: 1-27 (odd)
Pg. 534-537: 1-31 (odd)
Pg. 559-560: 1-25 (odd)
Pg. 587: 1-8 (all)
Pg. 611-612: 3,5,9,11,13,15,19
Pg. 631: 1, 3, 5, 7, 11, 13, 15, 17, 19
The Slope of a Line
The Slope-Intercept Form of an Equation
The Point-Slope Form of an Equation
Evaluating Functions of One Variable
Graphical Solution of a System of Two Equations
The Solution of a System of Equations by the
Addition-Elimination Method.
j. The Solution of a System of Equations by the
Substitution Method
6.4
7.1
7.3
7.5
8.1
8.2
Chapter 8: 8.3
22
Pg. 645: 1-19 (odd)
Review for Test #6: Two Variable Linear
Equations
RATIONAL EXPRESSIONS
a. Simplifying Rational Expressions
b. Multiplying and Dividing Rational Expressions
Chapter 5: 5.1
Chapter 5: 5.2
Pg. 336: 1-21 (odd)
Pg. 344-345: 1-16 (all), 27-32 (all)
Distribute Final Exam Review 1R
23
Test #6: Two Variable Linear Equations
c.
24
Adding and Subtracting Like Rational
Expressions
d. Adding and Subtracting Unlike Rational
Expressions
RADICAL EXPRESSIONS
Chapter 5: 5.3
Pg. 352: 1-16(all)
Chapter 5: 5.4
Pg. 363: 1-20 (all)
Pg. 688: 1-14 (all)
Pg. 699-700: 1-35 (odd)
Pg. 706-707: 1-29 (odd)
Pg. 714-715: 1-41, 47-59 (odd)
Pg. 730-731: 1-12 (all)
Pg. 740: 49-54 (all)
Pg. 741: 9-12 (all)
a.
Simplifying Radicals
b.
Adding and Subtracting Radicals
Chapter 9: 9.1
Chapter 9: 9.2
Chapter 9: 9.3
c. Multiplying and Dividing Radicals
d. The Pythagorean Theorem
Chapter 9: 9.4
Chapter 9: 9.6
25
Class
26
Topic
Review Session
Text
Homework Assignment
Review for Test 7: Rational and Radical
Expressions
Final Exam Review 1R & 3R
27
Test #7: Rational and Radical Expressions
Review Session
28
Final Exam Review 1R & 3R
CUNY ELEMENTARY ALGEBRA FINAL EXAM
(CEAFE) (in Testing Office)
Final Exam Review 1R & 3R
29
DEPARTMENTAL FINAL EXAM
30
Meet with students in classroom to advice on future
courses.