# Prerequisite: MATH 0302, or meet TSI standard for MATH 0305; or equivalent.

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1 COLLIN COLLEGE COURSE SYLLABUS Course Number: MATH 0305.XS1 Course Title: Beginning Algebra Course Description: With an emphasis on developing critical thinking skills, a study of algebraic vocabulary, concepts, and notation, functions, linear equations, systems of linear equations, polynomial expressions, and quadratic expressions and equations. Lab included. Course Credit Hours: Lecture Hours: 3 Credit Hours Lab Hours: 1 Placement Assessment: Placement in MATH Consult the Testing Center Director if you have questions about an assessment level OR Successful completion of Mathematics Prerequisite: MATH 0302, or meet TSI standard for MATH 0305; or equivalent. Student Learning Outcomes: Upon successful completion of this course, students will: 1. Identify, classify, graph, and use properties of operations on real numbers. 2. Solve a linear equation in one variable with three or more variable terms using multiple algebra skills. 3. Identify, graph, and evaluate a function. 4. Solve a system of two linear equations and interpret the solution graphically and algebraically. 5. Perform an operation with polynomials. 6. Factor a polynomial and solve a quadratic equation by factoring. 7. Solve an application problem involving an equation with a polynomial. Page 1 of 10

2 Withdrawal Policy: See the current Collin Registration Guide for the last day to withdraw. Collin College Academic Policies: See the current Collin Student Handbook. Americans with Disabilities Act: Collin College will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations as required to afford equal opportunity. It is the student s responsibility to contact the ACCESS office, SCC-G200 or (V/TTD: ) to arrange for appropriate accommodations. See the current Collin Student Handbook for additional information. Instructor s Name: Arlene Bakner Office Number: J237 Office Hours: (M, W, F 9-10 AM), (M, T, W, R 1-2 PM), (other times by appointment) Phone Number: ( 972) In case of emergency, contact the Developmental Education office (SCC K102) at (972) Contact your instructor by as listed below. abakner@collin.edu(messasages left by will be checked M, T, W, R, F 8-4 PM except when in class or attending a meeting.) Class Information: Section Number: XS1 Meeting Times: Tuesday, Thursday 10AM- 12:45PM Meeting Location: BB 129 Page 2 of 10

4 Supplies: A graphing calculator is required and the TI 83, TI 83 Plus, or TI 84 is preferred. Calculators with a computer algebra system (CAS) will not be permitted on exams, unless prior approval is obtained from the instructor. Bring to class a graphing calculator, paper or notebook, and a pencil. Attendance Policy: Attendance is expected every scheduled class. Attendance means arriving to class on time and remaining in class for the entire session. If there are zero absences, zero days of being tardy, zero days of leaving class early during each test interval then two points will be added to that test score. Students are responsible for all material and assignments for a missed class. Electronic Devices Policy: As per Section 6.1 Academic Etiquette and the College Experience (pg. 147, paragraph 3) of the Collin Student Handbook with the exception of a calculator, all electronic devices are to be switched off during class, unless an exception is obtained from the instructor in advance. If you have an emergency situation then leave the classroom quietly. Lap top computers will not be used in the classroom during class. Course Requirements: Attend class as scheduled and complete the required tests, lab assignments, and final examination, and any other assignments required by the instructor. Assignments are to be completed by using My Math Lab designated problems. These problems must be completed on or before midnight (My Math Lab Time) the test day (listed on the schedule) with a score 70% or greater in order to receive full credit. Otherwise half credit will be awarded if lab assignments are completed after midnight the test day or if lab assignments have a score less than 70%. Method of Evaluation: Only AD, BD, CD, FD or I can be awarded in this class. A grade of DD will never be awarded. The Grading Scale will be: AD: %; BD: 80 89%; CD: 70 79%; FD: 0 69%. Tests (55 %) Four tests will be given. Each test is awarded a percentage grade. There are no makeup tests. The schedule shows the date for each of the four tests. Lab exercises (15 %) Students will complete Lab Quizzes on the MyLab website. The URL, instructions for enrolling, and the required course ID will be provided in a separate document. There are ten required Lab Quizzes. The Lab Quiz due dates are listed on the suggested schedule on or before midnight (My Math Lab time) the test day. Each day a Lab Quiz is late five percentage points will be deducted including weekends. Practice Labs may be Page 4 of 10

6 Tentative Course Calendar Math0305.XS1 Weeks 8/25 8/27 9/1 9/3 9/8 9/10 Review Syllabus; Highlight new DE Administrative Withdrawal policy; 10.2 Real Numbers 18.2 Intersections, and Unions 10.7 Properties of Real Numbers 1.9 Exponential Notation and Order of Operations 10.1 Introduction to Algebra 10.8 Simplifying Expressions; Order of Operations 11.1 Solving Equations: The Addition Principle 11.2 Solving Equations: The Multiplication Principle 11.3 Using the Principles Together Solving Linear Equations 11.4 Formulas 11.6 Applications and Problem Solving Test 1 Review Test 1 (Sections 1.4, 1.9, 10.1, 10.2, 10.4, 10.7, 10.8, , 11.6, 18.2) 18.1 Inequalities and Interval Notation 11.7 Solving Inequalities 18.2 Compound Inequalities 12.1 Introduction to Graphing 12.2 Graphing Linear Equations Labs Assign Practice Lab 1 (1.4,1.9,10.4,10.7,18.2) Assign Practice Lab 2 (10.1,10.2,11.1,11.2) Assign Practice Lab 3 (11.3,11.4,11.6) 9/3 Lab Quiz 1, Lab Quiz 2, Lab Quiz 3 due Assign Practice Lab 4 (11.7,12.1,12.2,18.1, 18.2) 12.3 More with Graphing and Intercepts Page 6 of 10

7 9/15 9/17 9/22 9/ Slope and Applications 16.3 Linear Equations: Slope Intercept Form 16.4 Parallel and Perpendicular Lines 16.5 Finding Equations of Lines Test 2 Review Test 2 (Sections 11.7, ,, , 18.1, 18.2) 16.1 Functions and Graphs 16.2 Finding Domain and Range 17.1 Systems of Equations in Two Variables 17.2 Solving by Substitution 17.3 Solving by Elimination 17.4 Solving Applied Problems: Two Equations 13.1 Integers as Exponents 13.2 Exponents Assign Practice Lab 5 (12.3,12.4,16.4,16.5) 9/17 Lab Quiz 4, Lab Quiz 5 due Assign Practice Lab 6 (16.1,16.2,17.1,17.2) Assign Practice Lab 7 (17.3,17.4,13.1,13.2) 9/ Introduction to Polynomials 13.4 Addition and Subtraction of Polynomials 13.5 Multiplication of Polynomials 13.6 Special Products 13.7 Operations with Polynomials in Several Variables 13.8 Division of Polynomials Assign Practice Lab 8 (13.3,13.4,13.5,13.6, 13.7,13.8) Page 7 of 10

8 10/1 10/6 10/8 10/13 Test 3 Review Test 3 (Sections , , ) 14.1 Introduction to Factoring 14.2 Factoring Trinomials of the Type x 2 + bx + c 14.3 Factoring Trinomials of the Form ax 2 + bx + c, a 1: The FOIL Method 14.4 Factoring Trinomials of the Form ax 2 + bx + c, a 1: The ac-method 14.5 Factoring Differences of Squares 14.8 Solving Quadratic Equations by Factoring 14.9 Applications of Quadratic Equations 19.7 Applications involving Powers and Roots Test 4 Review Test 4 (Sections , 14.8, 14.9, 19.7) 10/1 Lab Quiz 6, Lab Quiz 7, Lab Quiz 8 due Assign Practice Lab 9 (14.1,14.2,14.3,14.4,14.5, 14.8,14.9) Assign Practice Lab 10 (1.9,11.4,12.2,13.2,13.8,14. 8,16.5,17.3,17.4,18.2) 10/13 Lab Quiz 9, Lab Quiz 10 due 10/15 FINAL EXAM Page 8 of 10

10 MATH 0305 BEGINNING ALGEBRA COURSE OBJECTIVES FALL 2015 Algebra Foundations: Basic Math, Introductory Algebra, and Intermediate Algebra, First Edition Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson Upon successful completion of this course, students will: 3rd Rev. 1. Identify, classify, graph, and use properties of operations on real numbers. Given a set of numbers, classify each as counting, whole, an integer, 10.2 rational, irrational, and real. Given two or more sets of numbers, find the intersection of the sets Given two or more sets of numbers, find the union of the sets Identify and use the commutative, associative, distributive, identity, and inverse properties of real numbers.(inverse Properties in 10.6 and 10.8) 2. Solve a linear equation in one variable with three or more variable terms using multiple algebra skills. 10.6b, 10.7, 10.8a Page 10 of 10

11 Identify the base and exponent of an exponential expression. 1.9a, 13.1 Simplify an arithmetic expression using the order of operations. 1.9cd, 10.8d Translate an English phrase into an algebraic expression. 10.1b Evaluate an algebraic expression. 10.1a Simplify an algebraic expression. 10.7, 10.8abc Solve a linear equation in one variable. 11.1, 11.2, 11.3 Solve a literal equation for a specified variable Solve a linear inequality in one variable and express the solution (i) in set- 11.7, 18.1b builder notation, (ii) interval notation, and (iii) as a graph. Solve a compound linear inequality in one variable and express the solution 18.2 (i) in set-builder notation, (ii) interval notation, and (iii) as a graph. 3. Identify, graph, find the domain and range of, and evaluate a function. Plot an ordered pair on the rectangular coordinate system Find an ordered pair solution for a specified linear equation in two variables 12.2 and verify using the TABLE feature of a graphing calculator(p.739). Graph a linear equation on the rectangular coordinate system and verify 12.2 using a graphing calculator.(p. 745) Graph a vertical and a horizontal line. 12.3b, 16.4c Determine the x- and y-intercepts (if appropriate) of a line given an equation, 12.3a, 16.4a a graph, or a table. Solve a linear equation in one variable using the ZERO and INTERSECT Supplement features of the graphing calculator. Find the slope of a line given: (i) two points on the line, (ii) an equation of 12.4 the line, (iii) a table of values, or (iv) a graph. Supplement Write an equation in slope-intercept form, if applicable, given a linear 16.3 equation. Upon successful completion of this course, students will: 3rd Rev. Write an equation of the line using point slope or slope intercept form given 16.5 the slope and a point or given two points. Determine whether a set of points, an equation, or a graph represents a 16.1 function. Supplement Identify the domain and range from a graph in interval notation. 16.2, 18.1b Evaluate a function for a specified value Solve a system of two linear equations and interpret the solution graphically, algebraically, and in the context of the information provided, if necessary. Solve a system of linear equations in two variables by: (i) graphing manually 17.1, 17.2, 17.3 and with a graphing calculator, (ii) substitution, and (iii) elimination Write a system of linear equations in two variables describing an application, 17.4 solve the system, and interpret the solution. Page 11 of 10

12 Determine whether two equations represent parallel lines, perpendicular 16.4d lines, or neither. 5. Factor a polynomial and solve a quadratic equation by factoring. Simplify an expression, which contains an exponent that is an integer. 13.1, 13.2 Identify a coefficient, term, factor, constant, and the degree of a specified 13.1a, 13.3 polynomial. Classify a polynomial as a monomial, binomial, or trinomial as appropriate. 13.3b Add, subtract, and multiply two polynomials. 13.4, 13.5, 13.6 Simplify a polynomial in two or more variables Divide a polynomial by a monomial or a binomial Factor a polynomial by finding the greatest common factor Factor a polynomial by grouping Factor a trinomial in the form ax2 + bx + c, where a 0, a = 1 or a is a 14.2 common factor. Factor a trinomial in the form ax2 + bx + c, where a 0, a , 14.4 Factor the difference of two squares 14.5 Solve a quadratic equation by factoring Set up and solve an application with an appropriate linear, quadratic, or system of linear equations. Solve an application involving a linear equation in one variable Solve an application involving a quadratic equation Solve an application requiring the Pythagorean Theorem. 9.6d, 14.9, 19.7 Solve an application requiring a system of equations Page 12 of 10

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