CENTRAL TEXAS COLLEGE-FORT RILEY SYLLABUS FOR DSMA 0301 DEVELOPMENTAL MATHEMATICS II SEMESTER HOURS CREDIT: 3 FALL 2014 SYLLABUS (08/11/14 10/05/14)

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1 CENTRAL TEXAS COLLEGE-FORT RILEY SYLLABUS FOR DSMA 0301 DEVELOPMENTAL MATHEMATICS II SEMESTER HOURS CREDIT: 3 FALL 2014 SYLLABUS (08/11/14 10/05/14) Instructor: Kenneth Kolembe Kenneth.Kolembe@ctcd.edu. Office Hours: By appointment Class Schedule: F 5:30 pm 9:30 pm S 9:00 am 1:00 pm Bldg 7656 Room 12 I.INTRODUCTION Developmental Mathematics II is designed for students who need a review of fundamental algebraic operations. Topics include operations involving real numbers, linear equations, weight, mass, capacity, system of linear equations, polynomials, factoring, graphing, and selected applications problems. This course will assist the student in developing the critical-thinking and problem-solving skills necessary for other developmental or college-level courses. This course is required for students who have not achieved a passing score on the TSI Assessment. Successful completion of this course fulfills the prerequisite for the next higher developmental or college-level mathematics course. The prerequisite for this course is DSMA 0300 or an appropriate placement test score. II. COURSE REQUIREMENTS Textbook: Central Texas College Edition of BEGINNING ALGEBRA, taken from: Beginning Algebra, Sixth Edition by Elayn Martin-Gay NOTE: Calculators are not to be used for this course. You may be asked to participate in My Labs Plus (MLP A. Attendance. Students are required to attend classes regularly. You are responsible for all work covered in class during an absence, even in cases where you were able to satisfy the instructor that the absence was unavoidable. Students are required to be in class on time and to stay the full length of the class or an absence will be noted. I will elaborate more on the attendance policy in class. CELLULAR PHONES ARE NOT AUTHORIZED IN CLASS..

2 B. Blackboard (Bb): Blackboard is a way to keep students informed of class Syllabus, announcements, additional help materials, and notes. Students log in to Bb at using the following: Username = first initial + last initial + last 6 of SSN Password = date of birth in MMDDYY format III. Grading & Evaluation: (Tentative) Grading scale: A: %, B: 80-89%, C: 70-79%, D: 60-69%, F: < 60% 1. Group work in class / Participation / Attendance = 10% 2. Homework = 20% 3. Quizzes = 20% 5. Exams = 30% 6. Final Exam = 20% IV. EXAMINATIONS There will be chapter quizzes, a midterm, and a final exam to test your understanding of topics you will learn in Beginning Algebra. In addition, you will have homework assignments to apply the concepts learned in class. Due dates must be respected. Late submission is will attract penalties! No assignment or homework will be accepted once solutions are posted. V. LEARNING OUTCOMES Upon successful completion of this course, Developmental Mathematics II, the student will be able to: A. Use the available electronic instructional media, such as computer software and DVDs, to reinforce and supplement classroom instruction. (F1, F2, F3, F4, F6) B. Perform basic operations on algebraic fractions and transfer this knowledge to the solution of application problems. (F1, F3, F4, F5, F8, F9, F10, F12) C. Use the correct order of operations to add, subtract, multiply, and divide real numbers. (F1, F3, F4, F5, F8, F9, F10, F12) D. Solve linear equations. (F1, F3, F4, F5, F8, F9, F10, F12) E. Add, subtract, multiply, and divide polynomials. (F1, F3, F4, F5, F8, F9, F10, F12) F. Find the factors of polynomials and use factoring to solve quadratic equations. (F1, F3, F4, F5, F8, F9, F10, F12) G. Solve systems of linear equations by graphing, substitution and addition (F1, F3, F4, F5, F8, F9, F10, F12) H. Demonstrate critical-thinking and problem-solving skills applicable to the material of this course. (F7, F8, F9, F10, F11, F12)

3 VI. NOTES AND ADDITIONAL INSTRUCTIONS Scholastic Honesty: All students are required and expected to maintain the highest standards of scholastic honesty in the preparation of all coursework and during examinations. The following are considered examples of scholastic dishonesty: 1. Plagiarism: The taking passages from the writing of others without giving proper credit to the source. 2. Collusion: Using another s work as one s own, or working together with another person in the preparation of work, unless such joint preparation is specifically approved in advance by the instructor. 3. Cheating: Giving or receiving information on examinations. Students guilty of scholastic dishonesty will be administratively dropped from the course with a grade of F and subject to disciplinary action, which may include suspension and expulsion. Withdrawal from Course: It is the student's responsibility to officially drop a class if circumstances prevent attendance. Any student who desires to, or must, officially withdraw from a course after the first scheduled class meeting must file an Application for Withdrawal or an Application for Refund. An Administrative Withdrawal: An administrative withdrawal may be initiated when the student fails to meet College attendance requirements. The instructor will assign the appropriate grade on the Administrative Withdrawal Form for submission to the registrar. An Incomplete Grade: The College catalog states, "An incomplete grade may be given in those cases where the student has completed the majority of the course work but, because of personal illness, death in the immediate family, or military orders, the student is unable to complete the requirements for a course..." Prior approval from the instructor is required before the grade of "I" is recorded. A student who merely fails to show for the final examination will receive a zero for the final and an "F" for the course. Americans With Disabilities Act (ADA): Students requiring accommodations for disabilities are responsible for notifying the instructor. Reasonable accommodations will be granted in full compliance with federal and state law and Central Texas College policy. Civility: Individuals are expected to be cognizant of what a constructive educational experience is and respectful of those participating in a learning environment. Failure to do so can result in disciplinary action up to and including expulsion. VII. Central Texas College Policies and Procedures: For additional information concern policies and procedures, students should consult the College s academic catalog which may also be accessed through CTC s website at

4 VIII. COURSE OUTLINE A. Unit One: (Chapter Two) Equations and Problem Solving 1. Unit Objectives: Upon successful completion of this unit the student will be able to do the following: a. Identify terms, like terms, and unlike terms b. Combine like terms c. Use the distributive property to remove parentheses d. Write word phrases as algebraic expressions e. Define linear equation in one variable and equivalent equations f. Use the addition property of equality to solve linear equations g. Write word phrases as algebraic equations h. Use the multiplication property of equality to solve linear equations i. Use both the addition and multiplication properties of equality to solve linear equations j. Apply a general strategy for solving a linear equation k. Solve equations containing fractions or decimals l. Recognize identities and equations with no solution m. Solve problems involving direct translations n. Solve problems involving relationships among unknown quantities o. Solve problems involving consecutive integers p. Use formulas to solve problems q. Solve a formula or equation for one of its variables r. Define U.S. units of weights and convert from one unit to another s. Perform arithmetic operations on units of weight t. Define metric units of mass and convert from one unit to another u. Perform arithmetic operations on units of mass

5 v. Define U.S. units of capacity and convert from one unit to another w. Perform arithmetic operations on U.S. units of capacity x. Define metric units of capacity and convert from one unit to another y. Perform arithmetic operations on metrics units of capacity 2. Learning Activities: a. Classroom lecture/discussion (F5, F6, F7, F8) b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11, F12) c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11, F12)* 3. Unit Outline: a. Section 2.1 Simplifying Algebraic Expressions b. Section 2.2 The Addition Property of Equality c. Section 2.3 The Multiplication Property of Equality d. Section 2.4 Solving Linear Equations e. Section 2.5 An Introduction to Problem Solving f. Section 2.6 Formulas and Problem Solving g. Section 2.10 Weight and Mass h. Section 2.11 Capacity.

6 B. Unit Two: (Chapter Three) Graphing 1. Unit Objectives: Upon successful completion of this unit the student will be able to do the following: a. Read bar and line graphs b. Define the rectangular coordinate system and plot ordered pairs of numbers c. Graph paired data to create a scatter diagram d. Determine whether an ordered pair is a solution of an equation in two variables e. Find the missing coordinate of an ordered pair solution, given one coordinate of the pair f. Identify linear equations g. Graph a linear equation by finding and plotting ordered pair solutions h. Identify intercepts of a graph i. Graph a linear equation by finding and plotting intercepts j. Identify and graph vertical and horizontal lines k. Find the slope of a line given two points of the line l. Find the slope of a line given its equation m. Find the slopes of horizontal and vertical lines n. Compare the slopes of parallel and perpendicular lines o. Interpret slope as a rate change p. Use the slope-intercept form to graph a linear equation q. Use the slope-intercept form to write an equation of a line r. Use the point-slope form to find an equation of a line given its slope and a point of the line s. Use the point-slope form to find an equation of a line given two points of the line t. Find equations of vertical and horizontal lines

7 u. Use the point-slope form to solve problems 2. Learning Activities: a. Classroom lecture/discussion (F5, F6, F7, F8) b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11, F12) c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11, F12) * 3. Unit Outline: a. Section 3.1 Reading Graphs and the Rectangular Coordinate System b. Section 3.2 Graphing Linear Equations c. Section 3.3 Intercepts d. Section 3.4 Slope and Rate of Change e. Section 3.5 Equations of Lines C. Unit Three: (Chapter Four) Solving Systems of Linear Equations 1. Unit Objectives: Upon successful completion of this unit the student will be able to do the following: a. Determine if an ordered pair is a solution of a system of equations in two variables b. Solve a system of linear equations by graphing c. Without graphing, determine the number of solutions of a system d. Use the substitution method to solve a system of linear equations e. Use the addition method to solve a system of linear equations f. Use a system of equations to solve problems g. Solve a system of three linear equations in three variables

8 2. Learning Activities: a. Classroom lecture/discussion (F5, F6, F7, F8) b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11, F12) c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11, F12) * 3. Unit Outline: a. Section 4.1 Solving Systems of Linear Equations by Graphing b. Section 4.2 Solving Systems of Linear Equations by Substitution c. Section 4.3 Solving Systems of Linear Equations by Addition d. Section 4.4 Systems of Linear Equations and Problem Solving e. Section 4.7 Solving Systems of Linear Equations in Three Variables D. Unit Four: (Chapter Five) Exponents and Polynomials 1. Unit Objectives: Upon successful completion of this unit the student will be able to do the following: a. Evaluate exponential expressions b. Use the product rule for exponents c. Use the power rule for exponents d. Use the power rules for products and quotients e. Use the quotient rule for exponents, and define a number raised to the 0 power f. Decide which rule(s) to use to simplify an expression g. Define polynomial, monomial, binomial, trinomial, and degree h. Find the value of a polynomial given replacement values for the variables i. Simplify a polynomial by combining like terms j. Add and subtract polynomials

9 k. Multiply monomials l. Use the distributive property to multiply polynomials m. Multiply polynomials vertically n. Multiply two binomials using the FOIL method o. Square a binomial p. Multiply the sum and difference of two terms q. Use special products to multiply binomials r. Simplify expressions containing negative exponents s. Use all the rules and definitions for exponents to simplify exponential expressions t. Write numbers in scientific notation u. Convert numbers from scientific notation to standard form v. Perform operations on numbers written in scientific notation w. Divide a polynomial by a monomial x. Use long division to divide a polynomial by another polynomial 2. Learning Activities: a. Classroom lecture/discussion (F5, F6, F7, F8) b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11, F12) c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11, F12) * 3. Unit Outline: a. Section 5.1 Exponents b. Section 5.2 Adding and Subtracting Polynomials c. Section 5.3 Multiplying Polynomials d. Section 5.4 Special Products e. Section 5.5 Negative Exponents and Scientific Notation f. Section 5.6 Dividing Polynomials

10 E. Unit Five: (Chapter Six) Factoring Polynomials 1. Unit Objectives: Upon successful completion of this unit the student will be able to do the following: a. Find the greatest common factor of a list of integers b. Find the greatest common factor of a list of terms c. Factor out the greatest common factor from a polynomial d. Factor a polynomial by grouping e. Factor trinomials of the form x 2 + bx + c f. Factor out the greatest common factor and then factor a trinomial of the form x 2 + bx + c g. Factor trinomials of the form ax 2 + bx + c, where a 1 h. Factor out the greatest common factor before factoring a trinomial of the form ax 2 + bx + c i. Factor perfect square trinomials j. Factor trinomials of the form ax 2 + bx + c by grouping k. Factor the difference of two squares l. Factor the sum or difference of two cubes m. Solve quadratic equations by factoring n. Solve equations with degree greater than 2 by factoring o. Find the x-intercepts of the graph of a quadratic equation in two variables. p. Solve problems that can be modeled by quadratic equations 2. Learning Activities: a. Classroom lecture/discussion (F5, F6, F7, F8) b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11, F12) c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11, F12) *

11 3. Unit Outline: a. Section 6.1 The Greatest Common Factor and Factoring by Grouping b. Section 6.2 Factoring Trinomials of the Form x 2 + bx + c c. Section 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials d. Section 6.4 Factoring Trinomials of the Form ax 2 + bx + c by Grouping e. Section 6.5 Factoring Binomials f. Section 6.6 Solving Quadratic Equations by Factoring g. Section 6.7 Quadratic Equations and Problem Solving *Based on availability of Resources

STUDENT INFORMATION PLAN (SIP) DEVELOPMENTAL MATHEMATICS MATH 0310 BEGINNING ALGEBRA - TDCJ

STUDENT INFORMATION PLAN (SIP) DEVELOPMENTAL MATHEMATICS MATH 0310 BEGINNING ALGEBRA - TDCJ INSTRUCTOR: DAY(S): TIME: ROOM NUMBER: TEXT: Introductory Algebra. 10 th Edition; Bittinger The Mathematics Department