# MAT 116. Algebra 1A. Version 5 12/15/07 MAT 116

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1 - MAT 116 Algebra 1A Version 5 12/15/07 MAT 116

3 Course Syllabus Course Title: MAT 116 Algebra 1A Required Texts Bittenger, M. L. & Beecher, J. A. (2007). Introductory and intermediate algebra (3 rd ed.). Boston: Pearson- Addison Wesley. Axia College s Writing Style Handbook, available online at Electronic Resources For this course, students and faculty are required to use MyMathLab, which can be accessed through the student and faculty Web sites. Please take advantage of the free online tutoring program offered through the Center for Math Excellence should you need additional support. Please Note: All required text and materials are found on the axcess course page. The axcess page can be accessed through the Axia College of University of Phoenix Student and Faculty Web site at Course Syllabus Page 3

4 Course Overview COURSE DESCRIPTION This course introduces basic algebra concepts and assists in building skills for performing specific mathematical operations and problem solving. Students solve equations, evaluate algebraic expressions, solve and graph linear equations and linear inequalities, graph lines, and solve systems of linear equations and linear inequalities. These concepts and skills serve as a foundation for subsequent coursework. Applications to real-world problems are integrated throughout the course. This course is the first half of the college algebra sequence, which is completed in Algebra 1B. TOPICS AND OBJECTIVES Real Numbers and Algebraic Expressions Compare the values of integers. Simplify expressions using the order of operations and properties of real numbers. Translate phrases into mathematical expressions. Use substitution to evaluate algebraic expressions. Solving Algebraic Equations and Inequalities Solve one-variable equations using the addition and multiplication principles. Determine whether a given point is a solution for a linear equation. Solve a formula for a variable. More on Solving Equations and Inequalities Solve one-variable inequalities using the addition and multiplication principles. Graph one-variable inequalities. Determine whether a given point is a solution for a linear inequality. Translate sentences into inequalities. Graphing Linear Equations Graph points from ordered pairs in an (x,y) coordinate system. Determine whether a given point is a solution for a linear equation. Graph a linear equation using tables and intercepts. Find the slope of a line given two points or the equation of a line. Functions Differentiate between functions and equations. Find function values for specific domain values. Determine the domain and range of a function. Graphs of Functions Graph linear equations using slope and y-intercepts or x- and y-intercepts. Determine whether lines are perpendicular, parallel, or intersecting. Write linear equations using point-slope and y-intercept forms. Systems of Equations Solve systems of linear equations using graphing and methods of substitution and elimination. Determine whether a system is consistent or inconsistent. Course Syllabus Page 4

5 Determine whether equations of a system are dependent or independent. Systems of Inequalities Solve and graph systems of inequalities in one and two variables. Apply Algebraic Concepts Apply algebraic concepts to solve mathematical problems. Course Syllabus Page 5

6 Point Values for Course Assignments Week One: Real Numbers and Algebraic Expressions Discussion Questions 10 Participation 10 CheckPoint: Algebraic Expressions 30 Week Two: Solving Algebraic Equations and Inequalities Exercise: Week Two Concept Check 5 CheckPoint: Linear Equations 30 Assignment: Expressions and Equations (Appendix C) 40 Assignment: Expressions and Equations (MyMathLab Quiz) 60 Week Three: More on Solving Equations and Inequalities Discussion Questions 10 Participation 10 CheckPoint: Solving Inequalities 30 Week Four: Graphing Linear Equations Exercise: Week Four Concept Check 5 CheckPoint: Graphing Equations 30 Assignment: Solving Inequalities (Appendix D) 40 Assignment: Solving Inequalities (MyMathLab Quiz) 60 Week Five: Functions Discussion Questions 10 Participation 10 CheckPoint: Introduction to Functions 30 Week Six: Graphs of Functions Exercise: Week Six Concept Check 5 CheckPoint: Looking at Functions 30 Assignment: Functions and their Graphs (Appendix E) 40 Assignment: Functions and their Graphs (MyMathLab Quiz) 60 Week Seven: Systems of Equations Discussion Questions 10 Participation 10 CheckPoint: Solving Systems of Equations 30 Week Eight: Systems of Inequalities Exercise: Week Eight Concept Check 5 CheckPoint: Solving Systems of Inequalities 30 Assignment: Systems (Appendix F) 40 Assignment: Systems (MyMathLab Quiz) 60 Week Nine: Apply Algebraic Concepts Capstone Discussion Question 10 Participation 10 Final Project: Final Exam 240 Course Syllabus Page 6

7 Point Totals 1,000 Course Syllabus Page 7

10 c. Acknowledgment that the final course grade will be reduced one (1) full letter grade in exchange for the extra time allowed to complete the coursework, regardless of the circumstances Please Note: Unless an Incomplete grade has been granted, student assignments submitted after the last day of class are not accepted. Accordingly, grade changes are not permitted for work submitted after the end of a class. Academic Honesty University of Phoenix students utilize university resources with honesty and integrity. These resources include, but are not limited to, the online library, online consultation with faculty, and registration systems. In addition to truthful representation in these areas, students must acknowledge references from original works, avoid plagiarism, and use writing and formatting styles generally accepted as sound academic writing. Privacy and Confidentiality in the Online Classroom If at any time you would like to communicate with your instructor confidentially, you may do so via the Individual forum. This forum can be viewed only by the individual student and the faculty member. All postings to any forum in this class are considered confidential and for consideration and discussion only by members of this class. Specifically, do not forward materials or messages from this class by or distribute hard copies. Grading Scale A C A C B D B D B D C+ 59 or < F Course Syllabus Page 10

12 Consider participating in the discussion by simplifying a classmate s expression, showing how the expression would be incorrectly simplified if computed from left to right, or challenging the class with a complicated expression. Respond to your initial post and provide your classmates with the answer to your expression. 10. CheckPoint: Algebraic Expressions Resource: MyMathLab Due Date: Day 5 [MyMathLab ] Complete the Week One CheckPoint in MyMathLab. This activity provides the opportunity to practice concepts introduced in Ch. 1. Course Syllabus Page 12

13 Week Two Solving Algebraic Equations and Inequalities Solve one-variable equations using the addition and multiplication principles. Determine whether a given point is a solution for a linear equation. Solve a formula for a variable. ASSIGNMENTS 1. Exercise: Week Two Concept Check Due Date: Day 5 [Individual forum] Post your 50-word response to the following: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution? 2. CheckPoint: Linear Equations Due Date: Day 5 [Individual forum] Complete the Week Two CheckPoint in MyMathLab. This activity provides the opportunity to apply concepts introduced in sections of Ch Assignment: Expressions and Equations Resource: Appendix C, MyMathLab Due Date: Day 7 [Individual forum and MyMathLab ]. Complete Appendix C to apply the skills learned in Ch. 1 and sections of Ch. 2 to a reallife situation. Use Equation Editor to write mathematical equations and expression in Appendix C. Complete the Week Two Quiz in MyMathLab. This assignment assesses content from Ch. 1 & 2 (sections ). Course Syllabus Page 13

15 Week Four Graphing Linear Equations Graph points from ordered pairs in an (x,y) coordinate system. Determine whether a given point is a solution for a linear equation. Graph a linear equation using tables and intercepts. Find the slope of a line given two points or the equation of a line. ASSIGNMENTS 1. Exercise: Week Four Concept Check Due Date: Day 5 [Individual forum] Post your 50-word response to the following: Explain in your own words why the line x = 4 is a vertical line. 2. CheckPoint: Graphing Equations Resource: MyMathLab Due Date: Day 5 [MyMathLab ] Complete the Week Four CheckPoint in MyMathLab. This activity provides the opportunity to practice concepts introduced in Ch Assignment: Solving Inequalities and Graphing Equations Resource: Appendix D, MyMathLab Due Date: Day 7 [Individual forum and MyMathLab ] Complete Appendix D to apply skills learned in Ch. 2 & 3 to a real-life situation. Use Equation Editor to write mathematical equations and expression in Appendix D. Complete the Week Four Assignment in MyMathLab. This assignment assesses content learned in Ch. 2 & 3. Course Syllabus Page 15

17 Week Six Graphs of Functions Graph linear equations using slope and y-intercepts or x- and y-intercepts. Determine whether lines are perpendicular, parallel, or intersecting. Write linear equations using point-slope and y-intercept forms. ASSIGNMENTS 1. Exercise: Week Six Concept Check Due Date: Day 5 [Individual forum] Post your 50-word response to the following: How can you determine if two lines are perpendicular? 2. CheckPoint: Looking at Functions Resource: MyMathLab Due Date: Day 5 [MyMathLab ] Complete the Week Six CheckPoint in MyMathLab. This activity provides the opportunity to practice concepts introduced in sections of Ch Assignment: Functions and their Graphs Resource: Appendix E, MyMathLab Due Date: Day 7 [Individual forum and MyMathLab ] Complete Appendix E to apply the skills learned in Ch. 7 to a real-life situation. Use Equation Editor to write mathematical expressions and equations in Appendix E. Complete the Week Six Assignment: Ch. 7 Quiz in MyMathLab. This assignment assesses content learned in Ch. 7. Course Syllabus Page 17

18 Week Seven Systems of Equations Solve systems of linear equations using graphing and methods of substitution and elimination. Determine whether a system is consistent or inconsistent. Determine whether equations of a system are dependent or independent. ASSIGNMENTS 1. Read sections of Ch. 8 and sections of Ch. 9 of Intermediate Algebra. 2. Discussion Question 1 Due Date: Day 2 [Main forum] Post your response to the following: Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? Consider responding to your classmates by indicating pros and cons they may not have considered or persuading them to see the value of the method you like best (if you chose different methods). Describe situations in which you might use their methods of solving. 3. Discussion Question 2 Due Date: Day 4 [Main forum] Post your response to the following: Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. Post the problem for your classmates to solve. Consider responding to your classmates by asking clarifying questions or by expanding a classmate s response. Also, help students solve the problem you posted by providing feedback or hints if necessary. You may also want to provide an explanation for your solution after a sufficient number of students have replied. 4. CheckPoint: Solving Systems of Equations Resource: MyMathLab Due Date: Day 5 [MyMathLab ] Complete the Week Seven CheckPoint in MyMathLab. This activity provides the opportunity to practice concepts introduced in sections of Ch. 8. Course Syllabus Page 18

19 Week Eight Systems of Inequalities Solve and graph systems of inequalities in one and two variables. ASSIGNMENTS 1. Exercise: Week Eight Concept Check Due Date: Day 5 [Individual forum] Post your response to the following: Describe what the graph of interval [-4,10] looks like. 2. CheckPoint: Solving Systems of Inequalities Resource: MyMathLab Due Date: Day 5 [MyMathLab ] Complete the Week Eight CheckPoint in MyMathLab. This activity provides the opportunity to practice concepts introduced in sections of Ch Assignment: Systems of Equations and Inequalities Resource: Appendix F, MyMathLab Due Date: Day 7 [Individual forum and MyMathLab ] Complete Appendix F to apply the skills learned in Ch. 8 ( ) & 9 (9.1, 9.2, and 9.4). Use Equation Editor to write mathematical equations and expressions in Appendix F. Complete the Week Eight Assignment: Ch. 8 & 9 Quiz in MyMathLab. This assignment assesses content learned in section of Ch. 8 and sections of Ch. 9. Course Syllabus Page 19

20 Week Nine Apply Algebraic Concepts Apply algebraic concepts to solve mathematical problems. ASSIGNMENTS 1. Capstone Discussion Question Due Date: Day 3 [Main forum] Post your response to the following: Has the content in this course allowed you to think of math as a useful tool? If so, how? What concepts investigated in this course can apply to your personal and professional life? In what ways did you use MyMathLab for extra support? 2. Final Project: Final Exam Resource: Appendix A, MyMathLab Due Date: Day 7 [MyMathLab ] Complete the Week Nine Final Test in MyMathLab. This test assesses content learned throughout the course. Course Syllabus Page 20

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