Introductory Algebra Fall, 2011 MAT 031 –108 Patricia Lambdin Office H – 117 410-822-5400 ext. 329 [email protected][email protected]Office Hours Monday, Tuesday, Wednesday & Thursday 1:00 p.m.– 2:15 p.m. And by appointment Course Description: An introduction to algebra. Topics included are properties of whole numbers, integer and rational numbers, solving equations, polynomials, factoring, systems of equations and graphs. Three hours per week. 3 load hours, 0 credits Textbook: Title: Beginning Algebra 5 th Edition Author: : Elayn Martin-Gay Publisher: 2009 Pearson ISBN: 9780321199911 purchase in the College Bookstore or on-line. Students in this section of MAT 031 are required to purchase only the MML Student Access Kit. Your MML access code from your MA 023 course will not work. You need to purchase a new one. However, if you took this course last semester, you do not need to purchase a new code. Introduction: This course, Introductory Algebra, is approximately equivalent to the first year of high school algebra and is the first of two sequential courses in algebra taught at Chesapeake College in preparation for college level mathematics courses. Students must complete Mat 031. Most students must also complete Mat 032 in order to gain entry to the credit level mathematics courses. In addition to the lectures, the average student should plan to spend six hours outside of class each week (2 hours for every hour spent in class). I expect this time will be spent completing homework assignments, reading textbook sections and preparing for the next class session.
Transcript
Introductory Algebra Fall, 2011
MAT 031 –108 Patricia Lambdin
Office H – 117 410-822-5400 ext. 329 [email protected][email protected] Office Hours Monday, Tuesday, Wednesday & Thursday 1:00 p.m.– 2:15 p.m. And by appointment Course Description: An introduction to algebra. Topics included are properties of whole numbers, integer and rational numbers, solving equations, polynomials, factoring, systems of equations and graphs. Three hours per week. 3 load hours, 0 credits
ISBN: 9780321199911 purchase in the College Bookstore or on-line. Students in this section of MAT 031 are required to purchase only the MML Student Access Kit. Your MML access code from your MAT 023 course will not work. You need to purchase a new one. However, if you took this course last semester, you do not need to purchase a new code. Introduction: This course, Introductory Algebra, is approximately equivalent to the first year of high school algebra and is the first of two sequential courses in algebra taught at Chesapeake College in preparation for college level mathematics courses. Students must complete Mat 031. Most students must also complete Mat 032 in order to gain entry to the credit level mathematics courses.
In addition to the lectures, the average student should plan to spend six hours outside of class each week (2 hours for every hour spent in class). I expect this time will be spent completing homework assignments, reading textbook sections and preparing for the next class session.
The mathematics department has developed a standardized calculator policy for each and every course at Chesapeake College. Effective for the Fall, 2011 semester, the calculator that is approved for this course is a basic four function calculator. Graphing calculators will not be permitted for use in the classroom and on any tests. If you choose to use that type of calculator at home you will find it more difficult to succeed when taking the in-class tests. You are responsible for understanding how to use your calculator and for making sure that it works on exam days. I do not carry a supply of batteries! I have a small supply of them available for use in the classroom.
.A spiral notebook (or a 3-ring binder with a supply of notebook paper) will be
necessary for this course. Students will do all of their homework and take notes from the
videos and powerpoint presentations in the notebook. Experience has shown students
who fail to organize their materials tend to do poorly. . Of course, students will be
expected to bring a supply of pencils to class and to do their work in pencil alone.
Attendance: Students whose attendance is sporadic often so not do well because of the nature of
the course. Many students find it difficult to work on this course outside of class since
additional mathematical explanations are often necessary. If you are unable to attend
class, it is your responsibility to get the notes from another student and check the
announcements on Angel. It may be in your best interest to make a “study friend”
so that you will be able to get any classnotes that you may miss. In addition,
since attendance counts 5% of the student’s final grade, it is in the best interest of each
student to be present at every class session. If you find yourself unable to keep up with
the class, make an appointment to see the instructor outside of class time. It is the
student’s responsibility to make up any work missed due to an absence for any
reason. It is my goal that this is a productive and pleasant experience for both of
us. If you have difficulties, please talk to me.
NOTE: College policy prohibits young children from accompanying parents to class. ACADEMIC INSTRUCTION EMERGENCY MANAGEMENT PLAN: In the event that Chesapeake College needs to close for an extended period of time due to a flu pandemic, severe weather event, or other emergency situation, consideration will be given to the timing and duration of the closure as follows: 1. Closure during the semester for up to one week – there will be an opportunity to make up work missed without significant alteration to the semester calendar. 2. Closure extending beyond one week (or in situations where classes are cancelled on the same days/evenings over multiple weeks) – the College may extend the length of
the semester. Depending on the timing of the closure, scheduled breaks, end of semester dates, and/or the processing of final grades might be impacted. Students can acquire information about closures on the College website or by calling 410-822-5400 or 410-228-4360. Chesapeake College courses held at off campus sites will follow the protocol of the host facility Course Attempt limit Policy – Effective Spring 2008, students may only attempt a course a maximum of three times. Both Audits (L) and Withdrawals (W) count as an attempt at a course.
Academic Honesty Policy – As described in the Student Code of Conduct, “If based on substantial evidence, a student is deemed guilty of academic dishonesty, the College may initiate disciplinary action as follows: 1. The student may be required to repeat the assignment or the examination. 2. The student may be given a failing grade for the assignment or the examination. 3. The student may be given a failing grade for the course. 4. The student may be suspended or dismissed from the college.
Grades: This course consists of chapters 2 – 6 in the textbook. The numerical final course grade will be computed as indicated in the following distribution, and letter grades will be assigned as follows. Components of Final Grade and Points *** Class Participation 5% A: 90 – 100 %
On-Line Homework / Quizzes 20% B: 80 – 89.9 %
In-Class Exams 55% C: 70 – 79.9 %
Final Exam 20% F: less than 69.9%
I do not round any grades. An 89.9% is a “B”, not an “A” * “D” grades are not given in any developmental class at Chesapeake College ** Class participation is more than simply presenting a warm body in class each day. It is assumed that students will arrive to class on-time with their class materials and ready to learn. To that end, it is expected that students will not engage in behaviors that distract not only the instructor but also their fellow classmates. Students who engage in activities such as talking to each others, talking on cell phones or text messaging, leaving class for non-emergency needs, will be asked to leave. Cell phones, i-pods, and other electronic devices must be turned off and out-of-sight. Students who violate this policy will be asked to leave the class for the day. I expect that all of my students will behave in an adult and respectful manner.
Homework Assignments: Homework problems are given during the semester for the purpose of testing students’ comprehension and are assigned through an online program called MyMathLab. This program allows students to receive immediate feedback upon completing an assignment. It also provides students with step-by-step assistance on how to solve problems. An access code for MyMathLab is available to purchase one at the Bookstore or on-line. MAT 031-108 ( Tuesday and Thursday class) use lambdin94799 (Course ID) and 21679 (zip code) when registering. Registration Tutorial: http://tours.pearsoncmg.com/tours/cc_register_single.html Homework Assignments consists of 10-20 problems and together with the on-line quizzes are worth 20% of the final course grade. A homework assignment will be given for every section of the book covered during the course of the semester. Homework due dates will be provided in the MyMathLab Calendar as they depend on the pace of the class. No homework grade(s) will be dropped! Computer down time is not a valid reason for tardiness on assignments. Computers and computer programs do sometimes experience down time, so plan ahead. If you wait until the last day to complete your homework, you may face a long line at the computer lab or a computer problem. Procrastinate at your own risk! Testing: In addition to the on-line homework and chapter tests that each student will complete as they proceed through the course, there will be Twelve (12) tests given during the course of the semester. These tests will count as 55 % of your final course grade. Test dates will be dependent on when you complete the work for a particular section of material. You may work on the course and be ready to take the tests at your own pace. You control when you complete the course. NO test grade(s) will be dropped! There are a small number of calculators available for use in the classroom. Final Exam: There will be a final exam given when you have completed the course material. There is however a testing time determined during the last week of the semester. This final exam is worth 20% of the final course grade. It is a required exam and IS cumulative. Final Exams: MAT 031 – 108 will be given on Dec. 8, 2011 from 9:30 – 11:30 in T-122 Classroom Etiquette: It is assumed that all students will respect each others rights fully. To that end, it is expected that students will not engage in behaviors that distract not only the instructor but also their fellow classmates. Students who engage in activities such as talking to each others, talking on cell phones or text messaging, visiting websites not associated with this course, leaving class for non-emergency needs, will be asked to leave.
Cell phones, i-pods, and other electronic devices must be turned off and out-of-sight. Students who violate this policy will be asked to leave the class for the day. I expect that all of my students will behave in an adult and respectful manner. Support Services: Academic Support Center: The Academic Support Center offers free drop in math tutoring in room 105 of the Learning Resources Center. Student Support Services: Student Support Services offers free scheduled tutoring up to 2 hours per week to qualifying students in room 105 of the Learning Resources Center. To qualify, students must either be a first generation college student, be economically disadvantaged, have a physical disability, or have a learning disability. There will be more information given during class. Course Objectives: At the completion of the course the student will be able to:
· Solve linear equations. · Solve all types of application problems. · Graph linear equations and inequalities. · Given sufficient information, write linear equations. · Identify functions and their domain and range.. · Solve systems of equations by various methods. · Simplify positive and negative exponential expressions. · Convert Scientific notation to standard numbers and reverse · Add, Subtract, Multiply and Divide Polynomials.
Tentative Course Outline
Chapter
Title Sections
Two
Equations, Inequalities, and Problem Solving Sec. 2.1 – 2.9
Three
Graphing Sec. 3.1 – 3.6
Four
Solving Systems of Linear Equations and Inequaities Sec. 4.1 – 4.6
Five
Exponents and Polynomials Sec. 5.1 – 5.6
Six
Factoring Polynomials (as time permits) Sec. 6.1 – 6.7
Chapter Objectives and Homework Assignments:
After completing each chapter you should be able to accomplish the following Chapter
Objectives. Complete the Homework assignments for that chapter on MyMathLab and
place it and your scrap paper in your binder.
Chapter Two – Equations, Inequalities and Problem Solving Pages 74 – 156 Read Sections 2.1 through 2.9 Sec. 2.1
Identify terms, like terms, and unlike terms
Combine like terms
Use the distributive property to remove parentheses
Write word phrases as algebraic expressions Complete Homework in MML for Sec. 2.1
Sec. 2.2
Define linear equations
Use the addition property of equality to solve linear equations Complete Homework in MML for Sec. 2.2
Sec. 2.3
Use the multiplication property of equality to solve linear equations
Use both the addition and the multiplication properties of equality to solve linear equations
Write word phrases as algebraic expressions Complete Homework in MML for Sec. 2.3
Sec. 2.4
Apply a general strategy for solving a linear equation
Solve equations containing fractions or decimals
Recognize identities and equations with no solutions Complete Homework in MML for Sec. 2.4
Sec. 2.9
Define linear inequality in one variable and graph solution set on a number line
Write solutions for linear inequalities in interval notation
Solve linear inequalities and complex inequalities
Solve inequality applications Complete Homework in MML for Sec. 2.9 Sec. 2.5
Apply the steps for problem solving
Solve problems involving direct translations
Solve problems involving relationships among unknown quantities
Solve problems involving consecutive integers
Complete Homework in MML for Sec. 2.5 Sec. 2.6
Use formulas to solve problems
Solve a formula or equation for one of its variables Complete Homework in MML for Sec. 2.6
Solve problems involving distance, money and interest Complete Homework in MML for Sec. 2.8
Chapter Three – Graphing Sec. 3.1
Define the rectangular coordinate system and plot ordered pairs of numbers
Graph paired data to create a scatter diagram
Determine whether an ordered pair is a solution of an equation
Find the missing coordinate of an ordered pair solution; given one coordinate of the pair
Complete Homework in MML for Sec. 3.1
Sec. 3.2
Identify linear equations
Graph a linear equation by finding and plotting ordered pair solutions Complete Homework in MML for Sec. 3.2
Sec. 2.7
Solve percent equations
Solve discount and mark-up problems
Solve percent increase and percent decrease problems
Solve mixture problems Complete Homework in MML for Sec. 2.7
Sec. 3.3
Identify intercepts of a graph
Graph a linear equation by finding and plotting intercepts
Identify and graph vertical and horizontal lines Complete Homework in MML for Sec. 3.3
Sec. 3.4
Find the slope of a line given two points on the line
Find the slope of a line given its equation
Find the slopes of horizontal and vertical lines
Define slope as a rate of change Complete Homework in MML for Sec. 3.4
Sec. 2.8
Solve problems involving distance, money and interest Complete Homework in MML for Sec. 2.8
Sec. 3.5
Given the slope-intercept form and point-slope form to write an equation of a line
Given two points on a line, write an equation of a line
Given two points on a line, write the equation of the line
Use the slope-intercept form to graph a linear equation
Find equations of vertical and horizontal lines Complete Homework in MML for Sec. 3.5
Sec. 3.6
Identify relations, domains, ranges and functions.
Use the vertical line test
Use function notation Complete Homework in MML for Sec. 3.6
Chapter Four – Solving System of Linear Equations and Inequalities Read Sections 4.1 through 4.6 Pages 250 – 290 Sec. 4.1
Determine if an ordered pair is a solution of a system of equations
Solve a system of equations by graphing
Without graphing, determine the number of solutions of a system Complete Homework in MML for Sec. 4.1
Sec. 4.2
Use the substitution method to solve a system of linear equations Complete Homework in MML for Sec. 4.2
Sec. 4.3
Use the addition method to solve a system of linear equations Complete Homework in MML for Sec. 4.3
Sec. 4.4
Use a system of equations to solve problems Complete Homework in MML for Sec. 4.4
Chapter Five – Exponents and Polynomials Pages 302 – 351 Sec. 5.1
Evaluate exponential expressions
Use the product, power, quotient for exponents
Decide which rule(s) to use to simplify an expression Complete Homework in MML for Sec. 5.1
Use all the rules and definitions for exponents to simplify exponential expressions
Convert numbers from scientific notation to standard form Complete Homework in MML for Sec. 5.5
Sec. 5.2
Define polynomial, monomial, binomial, trinomial and degree
Find the value of a polynomial given replacement values for the variables
Simplify a polynomial by combining like terms
Add and Subtract polynomials Complete Homework in MML for Sec. 5.2
Sec. 5.3
Use the distributive property to multiply polynomials
Multiply polynomials Complete homework in MML for Sec. 5.3
Sec. 5.4
Multiply two binomials using FOIL
Square a binomial
Multiply the sum and difference of two terms Complete Homework in MML for Sec. 5.4
Sec. 5.6
Divide a polynomial by a monomial
Use long division to divide a polynomial by another polynomial Complete Homework in MML for Sec. 5.6
Chapter Six – Factoring Polynomials – Pages 363 – 418 Sec. 6.1
Find the greatest common factor of a list of terms
Find out the greatest common factor from a polynomial
Factor a polynomial by grouping Complete Homework in MML for Sec. 6.1
Sec. 6.2
Factor trinomials of the form x2 + bx + c
Find out the GCF and then factor a trinomial of the form x2 + bx + c Complete Homework in MML for Sec. 6.2
Sec. 6.3
Factor trinomials of the form ax2 + bx + c, where a ≠ 1
Find out the GCF before factoring a trinomial of the form ax2 + bx + c,
Factor perfect square trinomials Complete Homework in MML for Sec. 6.3 Tested on Final Exam
MAT 031 – 108 Proposed Testing Schedule
The following schedule is provided to aid you in completing this course. There are two columns; Column I shows the pace necessary if your intention is to complete this course this semester and Column II shows the minimum pace necessary to qualify for the “R” grade. Recall, the “R” grade requires that you register and complete the course next semester.
Week Textbook Sections Test # Benchmark for Benchmark Completion for Re-Enroll
