# MATH Course Summary. Description. Objectives. Course : MATH110 Title : College Algebra Length of Course : 8 Prerequisites : Credit Hours : 3

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2 CO3: Translate equations and inequalities into equivalent forms through the application of the rules of algebra. CO4: Solve systems of linear equations with two equations. CO5: Solve problems involving equations and inequalities. CO6: Solve problems involving rational exponential functions. CO7: Solve quadratic equations. CO8: Compute descriptive measures using graphs. CO9: Apply mathematical problem solving methods. CO10: Develop mathematical models using one or two linear equations to solve an applications problem. CO11: Apply math concepts to situations in everyday life. Outline Week 1: Graphing Linear Equations CO 1, 2 -Plot a point, given the coordinates. -Determine the coordinates of a plotted point. -Find ordered-pair solutions for a given linear equation. -Graph a linear equation by plotting ordered pairs. -Graph a straight line by plotting its intercepts. -Graph horizontal and vertical lines. Textbook Sections: Forum 1: Initial post Week 2: Slope CO 1, 2 -Find the slope of the line given two points on the line. -Find the slope and y-intercept of the line given its equation. -Write the equation of the line given the slope and yintercept. -Graph a line using the slope and yintercept. -Solve applications using slopeintercept Textbook Sections: 3.3

3 Forum 1: 2 responses Optional Practice Test Test 1 Week 3: Equations of Lines and Graphing Linear Inequalities CO 2, 10, 11 -Write an equation ofthe line given apoint and the slope. -Write an equation ofthe line given two points. -Find the Equation of a Line Given the Graph of the Line -Find the slope a line parallel or perpendicular to a given line -Find the slopes of parallel and perpendicular lines. -Graph linear inequalities in two variables. Textbook Section: Forum 2: Initial post Week 4: Functions CO 2, 10, 11 -Understand themeanings of a relation and function. -Graph simple nonlinear equations. -Determine whether a graph represents a function. -Use function notation. Textbook Section: 3.6 Forum 2: 2 responses Optional Practice Test Test 2 Week 5: Systems of Equations

4 CO 2, 3, 4, 5,8, 11 -Determine whether an ordered pair is a solution to a system of two linear equations. -Solve a system of two linear equations by the graphing method. -Solve a system of two linear equations by the substitution method. -Solve a system of two linear equations by the addition (elimination) method. -Choose an appropriate method to solve a system of linear equations algebraically. Textbook Section: 4.1, 4.3 Forum 3: Initial post Week 6: Systems of Inequalities CO 2, 3, 4, 5,8, 11 -Graph a system of inequalities. Textbook Section: 4.4 Forum 3: 2 responses Optional Practice Test Test 3 Week 7: Rational Exponents and Radical Expressions CO 6 -Simplify expressions with rational exponents. -Add expressions with rational exponents. -Factor radical expressions to expressions with rational exponents. -Simplify radical expressions. -Change expressions with rational exponents to radical expressions. -Simplify expressions with rational exponents. -Evaluate higherorder radicals containing variable radicands that can represent any real number. Textbook Sections:

5 Forum 4: Initial post Week 8: Working with Radicals CO 6 -Simplify a radical by using the product rule. -Add and subtract like radical terms. Textbook Sections: 8.3 Forum 4: 2 responses Optional Practice Test Test 4 Week 9: Working with Radicals 2 CO 5, 6, 11 -Simplify a radical by using the product rule. -Multiply radical expressions. -Divide radical expressions. -Solve a radical equation that requires squaring each side once. -Solve a radical equation that requires squaring each side twice. Textbook Sections: 8.4, 8.5 Forum 5: Initial post Week 10: Variation

6 CO 5, 6, 11 -Solve problems requiring the direct variation. -Solve problems requiring the use of inverse variation. Textbook Sections: 8.7 Forum 5: 2 responses Optional Practice Test Test 5 Week 11: Quadratic Equations CO 7, 9, 10, 11 -Solve quadratic equations by using the square root property. -Solve quadratic equations by completing the square Textbook Section: 9.1 Forum 6: Initial post Optional Practice Test Week 12: The Quadratic Formula CO 7, 9, 10, 11 -Solve a quadratic equation by using the quadratic formula. -Use the discriminant to determine the nature of the roots of a quadratic equation. -Write a quadratic equation given the solutions of the equation. Textbook Section: 9.2 Forum 6: 2 responses Optional Practice Test

7 Test 6 Week 13: Quadratic Formulas and Applications CO 6, 9, 11 -Solve a quadratic equation containing several variables. -Solve problems requiring the use of the Pythagorean Theorem. -Solve applied problems requiring the use of a quadratic equation. Textbook Section: 9.4 Forum 7: Initial post Optional Practice Test Week 14: The Quadratic Functions CO 6, 9, 11 -Find the vertex and intercepts of a quadratic function. -Graph a quadratic function. Textbook Section: 9.5 Forum 7: 2 responses Optional Practice Test Test 7 Week 15: Course Review CO Review all course materials -Use the Study Guide Textbook Chapters 3, 4, 8, and 9 (skip 4.2, 8.6 and 9.3)

9 will be based on all material covered during the semester. The questions will require computations and application of the material covered during the semester. Please coordinate with the professor for any special arrangements. Unless the professor approves alternate arrangements, students should plan to take the final examination during the last week of the course. You will not need a proctor to take this exam. Please see the Student Handbook to reference the University s grading scale. Grading: Name Grade % Honor Code 1.00 % APUS Honor Code and Pledge 1.00 % % Current Grade % s % Test 1 Critique 8.00 % Test 2 Critique 8.00 % Test 3 Critique 8.00 % Test 4 Critique 8.00 % Test 5 Critique 8.00 % Test 6 Critique 8.00 % Test 7 Critique 8.00 % Final Exam % Final Exam Critique % Forums 8.00 % Forum 1: Weeks 1 and % Forum 2: Weeks 3 and % Forum 3: Weeks 5 and % Forum 4: Weeks 7 and % Forum 5: Weeks 9 and % Forum 6: Weeks 11 and % Forum 7: Weeks 13 and % Forum 8: Weeks 15 and % Materials Book Title: MATH100, 101, 110 Pearson MyLab access provided inside the classroom Author: Publication Info: Pearson ISBN:

12 The mission of American Public University System is to provide high quality higher education with emphasis on educating the nation s military and public service communities by offering respected, relevant, accessible, affordable, and student-focused online programs that prepare students for service and leadership in a diverse, global society. ST UDENT WARNING: This course syllabus is from a previous semester archive and serves only as a preparatory reference. Please use this syllabus as a reference only until the professor opens the classroom and you have access to the updated course syllabus. Please do NOT purchase any books or start any work based on this syllabus; this syllabus may NOT be the one that your individual instructor uses for a course that has not yet started. If you need to verify course textbooks, please refer to the online course description through your student portal. This syllabus is proprietary material of APUS.

14 3. Translate equations and inequalities into equivalent forms through the application of the rules of algebra. 4. Solve systems of linear equations with two equations. 5. Solve problems involving equations and inequalities. 6. Solve problems involving rational exponential functions. 7. Solve quadratic equations. 8. Compute descriptive measures using graphs. 9. Apply mathematical problem solving methods. 10. Develop mathematical models using one or two linear equations to solve an applications problem. 11. Apply math concepts to situations in everyday life. Outline Week 1: The Rectangular Coordinate System and Slope CO 1, 2, 3, 8 Plot a point, given the coordinates. Determine the coordinates of a plotted point. Find ordered-pair solutions for a given linear equation. Graph a linear equation by plotting ordered pairs. Graph a straight line by plotting its intercepts. Graph horizontal and vertical lines. Find the slope of the line given two points on the line. Find the slope and y-intercept of the line given its equation. Write the equation of the line given the slope and y-intercept. Graph a line using the slope and y-intercept. Solve applications using slope-intercept Textbook Sections: Unit 1 Forum: Introductions Week 1 Test Week 2: Equations of Lines, Inequalities and Functions CO 1, 2, 3, 11 Write an equation of the line given a point and the slope. Write an equation of the line given two points. Find the Equation of a Line Given the Graph of the Line Find the slope a line parallel or perpendicular to a given line

15 Find the slopes of parallel and perpendicular lines. Graph linear inequalities in two variables. Understand the meanings of a relation and function. Graph simple nonlinear equations. Determine whether a graph represents a function. Use function notation. Textbook Section: Week 2 Forum Week 2 Test Week 3: Systems of Equations and Inequalities CO 1, 2, 3, 4, 5, 6, 8, 9, 10, 11 Determine whether an ordered pair is a solution to a system of two linear equations. Solve a system of two linear equations by the graphing method. Solve a system of two linear equations by the substitution method. Solve a system of two linear equations by the addition (elimination) method. Choose an appropriate method to solve a system of linear equations algebraically. Solve applications requiring the use of a system of two linear equations in two unknowns. Graph a system of linear inequalities. Review your knowledge of graphing equations Review your knowledge of graphing inequalities Review your knowledge of solving systems of equations Review your ability to use these concepts in applications Textbook Section: 4.1, 4.3, 4.4 Week 3 Forum Week 3 Test Week 4: Rational Exponents CO 6

19 s % Test 1 Critique 8.00 % Test 2 Critique 8.00 % Test 3 Critique 8.00 % Test 4 Critique 8.00 % Test 5 Critique 8.00 % Test 6 Critique 8.00 % Test 7 Critique 8.00 % Final Exam % Final Exam Critique % Forums 8.00 % Week 1 Forum 1.00 % Week 2 Forum 1.00 % Week 3 Forum 1.00 % Week 4 Forum 1.00 % Week 5 Forum 1.00 % Week 6 Forum 1.00 % Week 7 Forum 1.00 % Week 8 Forum 1.00 % Materials Book Title: MATH100, 101, 110 Pearson MyLab access provided inside the classroom Author: Publication Info: Pearson ISBN: Book Title: Beginning & Intermediate Algebra, 4th Ed - The VitalSource e-book is provided via the APUS Bookstore Author: Tobey, et. al. Publication Info: Pearson ISBN: Book Title: You must validate your cart to get access to your VitalSource e-book(s). If needed, instructions are available here - Author: N/A Publication Info: N/A ISBN: N/A Students will need a calculator to successfully complete this course. The calculator should include a memory and square root function. At the student s discretion, a scientific calculator capable of performing statistical functions or a computer spreadsheet program like Microsoft Excel may be used. Students may make use of the above for all graded assignments during the course.

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