NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York

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1 NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York DEPARTMENT: Mathematics COURSE: MAT 0630/ MA 630 TITLE: DESCRIPTION: TEXT: Elementary Algebra with Basic Mathematics Review 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. Beginning Algebra, 7 th Edition With a for Beginning Algebra, 4 th Edition Baratto/Bergman/Gage/Gelbwasser CREDITS: 7 PREREQUISITES: New student: A score of 18 or less on the Algebra part of the CUNY Mathematics Placement Test; Continuing student: R1 or withdrawal grade in MAT 0630 Prepared by:????????????????spring 2007???? A. Testing/ Assessment Guidelines: The following exams should be scheduled: 1. A one-hour exam at the end of the First Quarter. 2. A one session exam at the end of the Second Quarter. 3. A one-hour exam at the end of the Third Quarter. 4. A one session Final Examination. B. A scientific calculator is required.

2 Learning Outcomes for MAT 0630/ MA 063 Elementary Algebra with Basic Mathematics Review MAT 0650/ MA 065 Elementary Algebra MAT 0670/ MA 067 Elementary Algebra with Basic Mathematics Review 1. Students will be able to evaluate numerical expressions involving rational numbers in integer, fractional, decimal, and scientific notation form. 2. Students will be able to perform operations with and simplify polynomial, rational, and radical expressions. 3. Students will be able to Solve one variable linear and factorable quadratic equations. Find and graph solutions to two variable linear equations. Derive a two variable linear equation given its slope and y-intercept or slope and another ordered pair solution. 4. Students will be able to apply their knowledge of algebra to solve verbal problems including profit and loss, ratios and proportions, percent, and time-rate-distance problem

3 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.

4 NEW YORK CITY COLLEGE OF TECHNOLOGY of the City University of New York Revised 6/07 MAT0630 / MAT0650 Course Outline : Beginning Algebra, 7 th Edition With a for Beginning Algebra, 4 th Edition by Baratto/Bergman/Gage/Gelbwasser Class Topic Homework 1 Introduction to Course Requirements and Policies ARITHMETIC REVIEW Purchase book and Notebook a. Whole Numbers Pg : 1-2a,c,e,g, 3a,e,g, 5, 7, 8, 10a,c,e, 11, 12, Columns 1&2 2 b. Measurement c. Fractions d. Operations with Fractions e. Decimals 3 f. Percents g. Graphs 4 ALGEBRAIC EXPRESSIONS a. From English to Algebra b. Exponents c. Order of Operations d. Distributive Property 5 Test #1: (Arithmetic) e. Adding and Subtracting Algebraic Expressions f. Multiplying and Dividing Algebraic Expressions 6 SIGNED NUMBERS a. Meaning of Signed Numbers b. Addition of Signed Numbers c. Subtraction of Signed Numbers Chapter 0: 0.2 Chapter 1: 1.4 Chapter 0: 0.4 Chapter 0: 0.4 Chapter 1: 1.1 Chapter 1: 1.6 Chapter 1: 1.7 Chapter 0: 0.5 Chapter 1: 1.2 Chapter 1: 1.2 Pg : 1-3a,c,e Pg : 1-81 (odd) Pg : 1-21 (odd) Pg : 1-14a,c,e, 15, 16, 17, 20, 21 (Column 1) Pg : 1-4a,c,e,g,i Pg : 2, 4, 6 Study for Test 1: Arithmetic Test Pg. 152: 1-19 (odd) Pg. 74: 1-7 (odd) Pg : 9-43 (odd) Pg. 107: (odd) Pg : 1-31 (odd), (odd) Pg : 1-65 (odd) Pg. 83: 1-5 (odd) Pg : 1-29 (odd) Pg : (odd) 7 d. Multiplication of Signed Numbers e. Division of Signed Numbers f. Mixed Signed Numbers g. Absolute Value Chapter 1: 1.3 Chapter 1: 1.3 Chapter 1: 1.3 Chapter 0: 0.5 Pg : 1-29 (odd) Pg : (odd) Pg : (odd) Pg : Column 1 Pg : (odd) Pg. 896: 1-25 (odd) 8 Quiz on Sign Number Rules h. Evaluating Expressions i. Applied Problems j. Translating Algebraic Expressions Chapter 1: 1.5 Pg : 1-41 (odd) Pg. 894: 1-19 (odd) Pg : 1, 3, 6, 8, 9, 13, 15, 17 Pg : Multiples of 4 9 EQUATIONS a. Checking a Solution b. Solving by Adding or Subtracting Chapter 2: 2.1 Chapter 2: 2.1 Pg. 213: 1-21 (odd) Pg : (odd), 69, 73 Review for Test #2 Pg : 4-40 c. Solving by Multiplying or Dividing d. Combining the Rules Chapter 2: 2.2 Chapter 2: 2.3 Pg : 1-35 (odd) Pg : 1-43 (odd)

5 Class Topic Homework 10 Test #2: (Classes 1-8h) e. Applications Pg : Multiples of 5 11 f. Multi-Step Word Problems Pg. 890: 1-7 (odd) Review for Test #3 Pg. 285: 1-11 Pg. 289: 1-25 POLYNOMIALS a. Introduction b. Adding and Subtracting Polynomials 12 Test #3: (Classes 1-10) c. Powers of Monomials d. Scientific Notation e. Multiplying Monomials and Polynomials 13 f. Simplifying Polynomials g. Dividing a Polynomial by a Monomial Chapter 3: 3.1 Chapter 3: 3.3 Chapter 3: 3.1 Chapter 3: 3.2 Chapter 3: 3.4 Chapter 3: 3.5 Pg : (odd) Pg : 1-45 (odd) Pg : 1-31 (odd) Pg : (odd) Pg. 932: 1-23 (odd) Pg : 1-53 (odd), (odd) Pg : 1-31 (odd) Pg. 355: 1-19 (odd) 14 FACTORING a. Factoring a Monomial from a Polynomial (GCF) Chapter 4: 4.1 Review for Test #4 Pg : 1-11, 18-33, Pg : 1-9, 16-21, 24-27, 31 Pg : 1-17 (odd), (odd) b. Factoring the Difference of Two Squares Chapter 4: 4.4 Pg : 1-37 (odd) 15 Test #4 (Classes 1-13) c. Factoring Trinomials of the form x 2 + bx + c Chapter 4: 4.2 Pg : (odd), (odd) 16 d. Mixed Factoring 17 e. Solving Equations by Factoring ALGEBRAIC FRACTIONS a. Simplifying b. Multiplying and Dividing Fractions 18 Test #5 (Classes 1-16) c. Adding and Subtracting Like Fractions Chapter 4: 4.6 Chapter 5: 5.1 Chapter 5: 5.2 Chapter 5: 5.3 Pg. 915: 1-29 (odd) Pg : 1-15 (odd), (odd) P. 916: Column 1 (Multiplies of 4) Review for Test #5 Pg : 1-12, 19, 20, 22, 23, 25 Pg : 1-6,8, 11, 14-15, 17-20, 22-24, Pg : 1-21 (odd), (odd) Pg : 1-15 (odd), (odd) Pg : 1-29 (odd) Pg : 1-25 (odd), (odd) 19 d. Adding and Subtracting Unlike Fractions e. Fractional Equations (LCD Method) f. Ratio and Proportion g. More Fractional Equations Chapter 5: 5.4 Chapter 5: 5.6 Chapter 5: 5.6 Pg. 465: 1-19 (odd) Pg : Multiples of 6 Pg : (odd) Pg : (odd) Pg. 927: Column 1 20 h. Decimal Equations i. Rewriting Formulas and Literal Equations Pg. 929: 1-7 (odd), (odd) Pg : 1-45 (odd)

6 Class Topic Homework 21 GRAPHING LINEAR EQUATIONS a. Solutions as Ordered Pairs Chapter 6: 6.1 Review for Test #6 Pg : 1, 2, 4, 7, 8, 11, 13, 19, 21, 22 Pg : 1-8, 11-17, 19, 21, 23, 29 Pg. 509: 1, 3, 11, 13 b. The Rectangular Coordinate System c. Graphing Linear Equations d. The Slope of a Line e. The Slope Intercept Form for a Line Chapter 6: 6.2 Chapter 6: 6.3 Chapter 6: 6.4 Chapter 7: 7.1 Pg : 1-21 (odd) Pg : 4, 8, 12, 16, 20 Pg : 1-27 (odd) Pg : 1-31 (odd) 22 Test #6 (Classes 1-20) SYSTEMS OF EQUATIONS a. Solving by Graphing (optional) Chapter 8: 8.1 Pg : 3, 5, 9, 17, b. Solving by Adding (optional) c. Solving by Substitution (Optional) Chapter 8: 8.2 Chapter 8: 8.3 Pg. 680: 1, 3, 5, 11, 13, 15, 19 Pg. 696: 1-19 (odd) 24 EXPONENTS AND RADICALS a. Simplifying Radicals b. Multiplying Radical Expressions c. Pythagorean Theorem Chapter 9: 9.1 Chapter 9: 9.2 Chapter 9: 9.4 Chapter 9: 9.6 Review for Test #7 Pg : 1-24 Pg : 1-17, 23-30, 32, 35, 37, 41, Pg. 728: 1, 3 Pg. 739: 1-29 (odd) Pg. 748: 1-23 (odd) Pg. 933: 1-13 (odd) Pg. 760: 1-11 (odd) Pg : All odd problems 25 Test #7 (Classes 1-22) Final Exam Review 1R 26 Review Session Final Exam Review 2R 27 Review Session Study for ACT COMPASS Exam Practice Exam Problems Pg : 1-71 (odd) 28 Review Session Study for Algebra Final Final Exam Review 3R 29 ALGEBRA FINAL 30 ACT COMPASS EXAM Study for ACT COMPASS Exam Practice Exam Problems Pg : 2-72 (even)