# CENTRAL TEXAS COLLEGE SYLLABUS FOR DSMA 0306 INTRODUCTORY ALGEBRA. Semester Hours Credit: 3

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1 CENTRAL TEXAS COLLEGE SYLLABUS FOR DSMA 0306 INTRODUCTORY ALGEBRA Semester Hours Credit: 3 (This course is equivalent to DSMA The difference being that this course is offered only on those campuses that do not have lab facilities.) INSTRUCTOR: OFFICE HOURS: I. INTRODUCTION Introductory Algebra is designed for students who need a review of fundamental algebraic operations. Topics include operations involving real numbers, polynomials, linear equations and inequalities, system of linear equations, 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 collegelevel 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 0304 or an appropriate placement test score. II. LEARNING OUTCOMES Upon successful completion of this course, Introductory Algebra, the student will be able to: A. Perform basic operations on algebraic functions and transfer this knowledge to the solution of application problems. (F1, F3, F4, F5, F8, F9, F10, B. Use the correct order of operations to add, subtract, multiply, and divide real numbers. (F1, F3, F4, F5, F8, F9, F10, C. Solve linear equations and inequalities with one variable. (F1, F3, F4, F5, F8, F9, F10, D. Add, subtract, multiply, and divide polynomials. (F1, F3, F4, F5, F8, F9, F10, E. Find the factors of polynomials and use factoring to solve quadratic equations. (F1, F3, F4, F5, F8, F9, F10, F. Solve systems of linear equations by graphing, substitution and addition.. (F1, F3, F4, F5, F8, F9, F10, 01/20/15

2 G. Demonstrate critical-thinking and problem-solving skills applicable to the material of this course. (F7, F8, F9, F10, F11, III. INSTRUCTIONAL MATERIALS/RESOURCES To assist in this course, a variety of materials both in and out of the classroom will be required and used. The instructional materials identified for this course are viewable through: NOTE: Calculators are not to be used for this course. IV. COURSE REQUIREMENTS A. Prompt and regular attendance is required in the classroom. Students may be dropped from class for excessive absences. Further information regarding the attendance policy is available in the current college catalog. Students who enter the classroom after class begins or leaves before class ends disrupts the educational process. For this reason, instructors may choose to lower a student s grade for being tardy and/or leaving early an excessive number of times. B. Assignments will be made daily, and each assignment must be completed by the next class session. Assignments may be collected and examined at any time, and the instructor may require students to keep a notebook of completed assignments. C. Completion of all assignments is required for a student to be eligible to take the final examination and to achieve a passing grade in this course. V. EXAMINATIONS AND ASSIGNMENTS CHALLENGE EXAMS Mathematics students may be eligible, during the first week of the semester, to challenge the classes in which they are enrolled. Students must discuss the challenge procedures with their instructors to determine eligibility. If eligible to take the exam, a student will receive a signed challenge exam request form from the instructor. The challenge exam must be taken during the first week of classes. A. Periodic examinations will be given during the course in order to evaluate a student's progress. A comprehensive final will be given. DSMA

5 requiring accommodations for class are responsible for contacting the Office of Disability Support Services (DSS) located on the central campus. This service is available to all students, regardless of location. Review the website at for further information. Reasonable accommodations will be given in accordance with the federal and state laws through the DSS office. E. 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. F. Office Hours: Full-time instructors post their office hours outside their office doors. Part-time instructors may be available by appointment. Please feel free to see your instructor should you find yourself having difficulty with this course. VIII. COURSE OUTLINE A. Unit One: (Chapter Two) Equations and Problem Solving 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 the 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 v. Define U.S. units of capacity and convert from one unit to another w. Perform arithmetic operations on U.S. units of capacity DSMA

6 x. Define metric units of capacity and convert from one unit to another y. Perform arithmetic operations on metric units of capacity a. Classroom lecture/discussion (F5, F6, F7, F8) 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 B. Unit Two: (Chapter Three) Graphing 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 u. Use the point-slope form to solve problems DSMA

7 a. Classroom lecture/discussion (F5, F6, F7, F8) 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 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 a. Classroom lecture/discussion (F5, F6, F7, F8) 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 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 DSMA

8 j. Add and subtract polynomials 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 a. Classroom lecture/discussion (F5, F6, F7, F8) 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 E. Unit Five: (Chapter Six) Factoring Polynomials 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 DSMA

9 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 a. Classroom lecture/discussion (F5, F6, F7, F8) 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 ax 2 + 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 DSMA

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