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Springfield Technical Community College School of Mathematics, Sciences & Engineering Transfer Department: Course Title: Course Number: Semester: Credits: Prerequisites: Textbook: Mathematics Algebra 1 MAT-087 Spring 2017 3 Non-Graduation Credits Completion of MAT-078 or MAT-079 with C- or better, or Placement Level MAT-081 (REQUIRED) MyMathLab Student Access Kit. (OPTIONAL) Introductory Algebra through Applications, 3rd Edition, Akst and Bragg, 2012, Pearson Education, ISBN: 9780321746696 Instructor: Office: E-Mail: Phone: Course Websites: Antonio C. Silvestri 17/415 [email protected] 413-755-4621 http://www.mymathlab.com COURSE DESCRIPTIVE GUIDE ORGANIZATION OF THE COURSE This is a web-assisted course. The teaching methodology employed in this course utilizes a lecture approach, encouraging student participation, and interactive computer learning and assignments. All homework and quizzes are done online in a campus computer lab, or at home. Examinations will be given online in the lab on the announced dates. COURSE DESCRIPTION This is a pre-college level lecture course in elementary algebra. Topics include the real number system, operations of real numbers, simplification of algebraic expressions, solving equations and inequalities. Topics also include graphing of linear equations, slopes, equations of lines, and graphing inequalities in two variables, systems of linear equations, applications and problem solving. Additional topics are exponents, scientific notation, and operations with polynomials. Credit for this course will not be counted toward fulfilling graduations requirements at STCC. This is a developmental course. Credit for this course will not be counted toward fulfilling graduation requirements at STCC. ATTENDANCE Attendance is required. Attendance is taken at each class. Arriving late to a class after attendance is taken constitutes an absence. A student having more than 2 weeks’ worth of absences, coupled with unacceptable progress, is cause for withdrawal from this course. A student absent from class bears full responsibility for all subject and procedural information discussed in class, including any changes in exam dates and assignments. Be advised that there are no individualized tutoring services offered by the instructor. TESTING AND GRADING Homework and quizzes are competed on the computer through Course Compass (MyMathLab), a web resource provided by the publisher of our textbook. As this is an online resource, students may perform homework assignments anywhere a computer is available. Students should complete the homework for each section in a chapter 1 before they may take a quiz on that chapter. Homework and quizzes must be completed before the exam they are designed to support is assigned. There will be three examinations, each covering multiple chapters. These are taken in class, and students are responsible for being present on the assigned exam date. Test dates will be posted with the announcements on the course home page. The final grade will be based 20% on homework, 20% on the quiz average, 36% on the 3 midterm exams, and 24% on the final. Students must achieve a minimum overall average of 70% in this course in order to pass and progress to college level math. Homework and Quizzes should be completed before the exam they are designed to support is taken. These assignments can be completed at home. You are encouraged to do homework and quizzes with another student if you believe it can help you understand the material. Exams must be completed in class on the day specified. Exams can be taken in class or at home. Any homework, quiz or exam not take will be given a zero and averaged into the final grade. You will not be able to complete any assignments after the semester is over. If at any time during the semester, there is any evidence of academic dishonesty or collusion by students on an exam, the Dean of Students and other relevant college authorities will be notified, and students involved may be dismissed from the course with an automatic grade of F. SUPPORTING MATERIALS There are online tutorials available at the website which provides lecture presentations on units in the text. The website also combines diagnostic testing with individualized study plans and unlimited practice. This may be used in class, at home, or in the Student Success Center once students have registered at the course website. Students must use headsets when accessing the tutorials on campus. All course announcements and correspondence will be done through the MyMathLab website. Also check your school issued student.stcc.edu email accounts for important course updates. It is your responsibility to visit this course page and check your email at least once every two days. It is unacceptable to say that you are not aware of something happening in the course. STCC POLICY ON DISRUPTIVE BEHAVIOR Behavior, which disrupts the establishment or maintenance of the learning environment, may result in the student causing the behavior to be excluded from the classroom by the instructor. The student may be subject to further punitive action by the Dean of Students. Late arrival to class, early departure, listening to music, and talking on the on the phone in class constitute disruptive behavior 2 COURSE OBJECTIVES All quizzes are based on the objectives for that chapter. Chapter 1: Introduction to Real Numbers and Algebraic Expression Objectives: 1. Evaluate variable expressions. 2. Translate phrases to algebraic expressions. 3. Solve problems involving order. 4. Find the absolute value of a number. 5. Evaluate expressions involving addition of signed numbers. 6. Find the opposite of a number 7. Evaluate expressions involving subtraction of signed numbers. 8. Simplify numeric expressions. 9. Evaluate expressions involving multiplication of signed numbers. 10. Evaluate expressions involving multiplication or more than two signed numbers. 11. Evaluate expressions involving division of signed numbers. 12. Find the reciprocal of a number. 13. Divide signed fractions. 14. Remove common factors from an expression. 15. Combine like terms. 16. Apply distributive law to expand a product. 17. Simplify expressions involving grouping symbols. 18. Apply order of operations to evaluate an expression. Chapter 2: Solving Equations and Inequalities Objectives: 1. Solve equations of the form x + a = b.. 3. Solve equations of the form a x = b. 4. Solve equations of the form a/x = b. 5. Solve equations of the form (a/b) x = c. 6. Solve linear equations. 7. Solve equations with parentheses. 8. Solve applied problems. 9. Solve equations involving percent. 10. Solve applied problems involving percents. 11. Solve literal equations and nformulas. 12. Solve linear inequalities. 13. Graph number line inequality. 14. Translate verbal statement to an inequality. Chapter 3: Graphing Linear Equations and Inequalities Objectives: 1. Locate the quadrant for a given point. 2. Determine if a given point satisfies an equation. 3. Find y given a x + b y = c. 4. Find intercepts given an equation. 5. Find intercepts given a graph. 6. Given an equation plot its graph. 7. Determine if an equation has a vertical line graph 8. Determine if an equation has a horizontal line graph. 9. Given a horizontal or vertical line graph, determine the equation. 10. Find the slope of the line through 2 points. 11. Find the slope given the equation of the line. 12. Find the equation of the line given a point and the slope. 13 Find the equation of the line through 2 given points. 14. Identify parallel and perpendicular lines given the equations of 2 lines. 15. Determine if a point is a solution of a linear inequality. 16. Plot the graph of a linear inequality. 3 Chapter 4: Solving Systems of Linear Equations Objectives: 1. Determine if a point is a solution to a system of equations 2. Determine whether paired lines are the same, parallel, or intersecting at one point. 3. Solve a system of equations by the substitution method. 4. Solve a system of equations by the elimination method. 5. Solve applied problems. Chapter 5: Exponents and Polynomials Objectives: 1. Evaluate exponential expressions. 2. Evaluate x0. 3. Simplify expressions involving negative exponents. 4. Multiply like bases. 5. Divide like bases. 6. Express a number in scientific notation. 7. Apply exponent laws to simplify an expression. 8. Collect like terms. 9. Add polynomials. 10. Subtract polynomials.: 11. Multiply monomials. 12. Multiply binomials. 13. Multiply the difference of two squares. 14. Multiply perfect squares. 15. Evaluate polynomials involving more then one variable. 16. Collect like terms for expressions involving more than one variable. 17. Multiply binomials for expressions involving more than one variable. 18. Divide a monomial by a monomial. 19. Divide a polynomial by a monomial. 4 COURSE OUTLINE Chapter 1A: Introduction to Real Numbers and Algebraic Expressions 1.1 Integers, Rational Numbers and the Real Number Line 12 Addition of Real Numbers 1.3 Subtraction of Real Numbers Quiz 1A 1.4 Multiplication of Real Numbers 1.5 Division of Real Numbers 1.6 Algebraic Expressions, Translations, and Exponents 1.7 Evaluating Algebraic Expressions and Formulas 1.8 Simplifying Algebraic Expressions Quiz 1B Chapter 2: Solving Linear Equations and Inequalities 2.1 Solving Equations: The Addition Property 2.2 Solving Equations: The Multiplication Property 2.3 Solving Equations by combining Properties Quiz 2A 2.4 Solving Literal Equations and Formulas 2.5 Solving Equations Involving Percents 2.6 Solving Inequalities Quiz 2B Examination 1 (covers Chapters 1 and 2) Chapter 3: Graphing Linear Equations and Inequalities 3.1 Introduction to Graphing 3.2 Slope 3.3 Linear Equations and their Graphs Quiz 3A 3.4 More on Linear Equations and their Graphs 3.5 Linear Inequalities and their Graphs Quiz 3B Examination 2 (covers Chapter 3) Chapter 4: Solving Systems of Linear Equations 4.1 Introduction to Systems of Linear Equations: Solving by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination Quiz 4A Chapter 5: Exponents and Polynomials 5.1 Laws of Exponents 5.2 Exponents and Scientific Notation 5.3 Introduction to Polynomials 5.4 Addition and Subtraction of Polynomials Quiz 5A 5 5.5 Multiplication of Polynomials 5.6 Special Products 5.7 Division of Polynomials Quiz 5B Examination 3 (Based on Chapters 4 and 5) Final Exam (covers Chapters 1-5) 6