geometry â math 46 AWS
SYLLABUS
ELEMENTARY ALGEBRA/GEOMETRY – MATH 46 5 Units/Spring 2016 Reference No.: 00591 Hours/Days: T/Th: 6:55 a.m. - 9:25 a.m.
Instructor: Milarm Arnold, Jr. Room: MS-211
Description: MATH046 Elementary Algebra/Geometry Elementary Algebra and Geometry serves as the foundation for other math courses and is the first of a two-course integrated sequence in algebra and geometry intended to prepare students for transfer level mathematics. This course covers the real number system; writing, simplifying, solving and graphing of linear equations in one variable; solving linear inequalities in one variable; solving systems of linear equations in two variables; algebraic operations with polynomial expressions and factoring; functions; operations involving rational expressions and related equations; and geometric properties of lines, angels, and triangles. It is intended for students preparing for higher-level geometry and algebra courses. (FT) Not Applicable to Associate Degree, basic skills. Text: Bittinger, Elementary & Intermediate Algebra, 6th Edition (Required) Bittinger, Elem & Intermed Algebra Stu Sol Manual (Optional) also Bass, Alan, Geometry, Fundamental Concepts and Applications (Required) The Course: This course is designed to prepare you for Intermediate Algebra and Trigonometry. It is also extremely helpful for students planning to take the CBEST or other exams. The real number system and linear equations covered in Chapters 1-3 should be review for most of you. We will cover Chapters 1 through 8.3 in depth, and in that order. Ideally, we can cover one chapter in 8 hours of in-class time. Some chapters may take less time and others may take more. This gives us the flexibility to be able to devote extra time to topics if needed. A tutoring lab supplements the class, and you are expected to take full advantage of these services to help you get through the course successfully. Objectives: Upon successful completion of the course, the student will be able to: 1. Perform the basic arithmetic operations with real numbers using exponents and the appropriate order of operations; 2. Translate verbal expressions into algebraic expressions, and simplify them; 3. Apply properties of equality to solve linear equations and related application problems; 4. Solve linear inequalities in one variable, including absolute value; 5. Determine the equation for a linear function and graph it; 6. Graph linear inequalities in two variables; 7. Perform the basic arithmetic operations with polynomials, including the appropriate use of the remainder thereon; 8. Factor polynomial expressions using a variety of methods; 9. Solve polynomial equations by factoring; 10. Graph quadratic functions; 11. Identify functions from their equations and graphs, use appropriate functional notation, and perform the basic arithmetic operations with functions, including composition;
21MM46: Course Syllabus
12. 13. 14. 15.
Page 2
Perform the basic arithmetic operations with rational expressions; Identify important angle relationships with dealing with lines and triangles; Identify simple geometric shapes and apply the appropriate area and perimeter formulas; Apply the appropriate skills in application problems.
Details/Description of Assessment Measure (SLO): #1 – Students will demonstrate the relationship between the equation of a line, a table of values (solutions of the equation), and the graph of the line. #2 – Students will be able to factor polynomials using a variety of methods. #3 – Students will use correct mathematical terminology to identify geometric shapes and their properties. Attendance: Regular class attendance is required for you to do well in this class. If you miss two (2) consecutive meetings you may be dropped from the class. You are allowed four (4) unexcused absences. You will be dropped from the class on your 5th unexcused absence. You will be allowed two (2) excused absences. It is possible to re-enroll if you can convince me of your motivation to stay and your grade supports that motivation. If for some reason you decide to withdraw from this class, please do so officially. You are reminded that a “W” cannot be recorded for you after FRIDAY, 8 APRIL 2016. If you withdraw after this date an appropriate academic grade or administrative symbol will be assigned. Being late to class one or two times during the semester is understandable. However, habitual tardiness is strongly discouraged, for it is both discourteous and disruptive to class procedures. Habitual tardiness will be sufficient cause for exclusion from the class. You will be expected to stay until the class is over to receive credit for attending that session. Behavior: You will be dropped from class if you exhibit deliberate behavior which prohibits or impedes any member of the class from pursuing any class assignment or learning opportunity within the classroom. Copies of Policy 3100 are available in the Student Affairs Office. Grades and Grading: Your grade will consist of points received on exams, homeworkassignment quizzes, and a final exam. There will be term exams, giving a total of 700 possible points. The final exam will be comprehensive and worth 300 points. Over the semester I will assign homework problems from the text. Grade Scale: A = 90-100% B = 80-89% C = 70-79% D = 60-69% F = below 60%
Points: 900-1000 points 800-899 points 700-799 points 600-699 points below 600 points
700 from term exams
Exams A, B, C 234 points each DO NOT BE LATE TURNING 300 from Final Exam IN EXAMS OR QUIZZES. 1,000 Total SEE NOTE BELOW!
Your exams will count 70% of your final grade. Your final examination will count 30% of your final grade. Geometry Section counts 20% of your Final Exam. Homework: Each student is expected to do his/her own work on exams. You must show all your work to fully benefit later. Do NOT put down just an answer. All work should be neat; sloppy work may not be useful for review. Homework assignments should also be neat and show all work. On your homework, however, I encourage you to work with a study partner or your classmates.
21MM46: Course Syllabus
Page 3
Homework is to help you learn and working with others can be a big help. You are the only person who can determine how many problems are necessary for you to do. Do enough until you understand the concept (and that is possible). Most sections are divided into “drill” problems and “word problems”. Make sure you try some of each, particularly the latter. Cheating: It is assumed that each student will do his/her own homework. If a student is caught cheating on a test he/she will receive a “0” grade on that test and that grade will NOT be changed. Cheating on the final exam will result in a course grade of an “F”. Tentative Dates for Term Exams: Exam A: Given: Due:
Thur., 25 Feb. 2016 Thur., 3 Mar. 2016
Exam B: Given: Due:
Thur., 17 Mar. 2016 Thur., 24 Mar. 2016
Exam C: Given: Thur., 28 Apr. 2016 Due: Thur., 5 May 2016
Tentative Make-up Dates for Term Exams: It is your responsibility to approach me in order to make arrangements to MAKE-UP AN EXAM. Do so as soon as possible by leaving a message in my Voice Mail Box or a written message in Room K-203, (see NOTE below), or by contacting me at our next class meeting. LATE EXAMS/QUIZZES MAY BE SEVERELY PENALIZED OR EVEN FORFEITED.
Incompletes: To receive an incomplete, you must be passing this course and are unable to take the final examination. Tentative Schedule: See next page NOTE: Voice Mail # for Messages (619) 388-2767 + 5011 DO NOT BE LATE TURNING Written Message Center Room K-203 IN EXAMS OR QUIZZES. Early-Assignment Turn-In Room K-203 or In Class SEVERE PENALTY POSSIBLE FINAL: Thursday, 19 May 2016
ROOM:
MS-211, 6:55 a.m. - 9:25 a.m.
Please note that this syllabus and schedule are subject to change. •
It is the student’s responsibility to drop all classes in which he/she is no longer attending (for on campus classes).
•
It is the instructor’s discretion to withdraw a student after the add/drop deadline (see above) due to excessive absences.
•
Students who remain enrolled in a class beyond the published withdrawal deadline, as stated in the class schedule, will receive an evaluative letter grade in this class.
Credit/No Credit Beginning Fall 2011, the title “credit/no credit” will change to “pass/no pass” in accordance with Title 5, section 55022.
21MM46: Course Syllabus
Page 4
Mathematics 046 – Elementary Algebra/Geometry Tentative Schedule – Spring 206 (1/25/2016 – 5/21/2016) Monday 1-25 2/1 2/8 2/15 Washington’s Day
2/22 2/29 3/7 3/14 3/21 3/28 Spring Recess 4/4 4/11 4/18 4/25 5/2 5/9 5/16
Tuesday 1/26 1.1 1.6 2/2 2.1 2.3 2/9 2.6 2.7 2/16 3.3 3.5 2/23 3.6 3.7 3/1 4.3 4.4 3/8 4.7 4.8 3/15 5.3 5.4 3/22 5.7 5.8 3/29 Spring Recess 4/5 6.2 6.3 4/12 6.6 6.7 4/19 7.1 4/26 7.3 5/3 7.5 5/10 8.1 8.2 5/17 Review
Wednesday 1/27 2/3 2/10 2/17 2/24 3/2 3/9 3/16 3/23 3/30 Spring Recess 4/6 4/13 4/20 4/27 5/4 5/11 5/18
Thursday 1/28 1.1 1.8 2/4 2.4 2.5 2/11 3.1 3.3 2/18 3.5 3.6 2/25 Exam A 4.1/2 Given 3/3 A due 4.5 4.6 3/10 5.1 5.2 3/17 Exam B 5.5 Given 5.6 3/24 B due 6.1 6.2 3/31 Spring Recess 4/7 6.4 6.5 4/14 6.6 6.7 4/21 7.2 4/28 Exam C 7.4 Given 5/5 C due 8.1 8.2 5/12 Review 5/19 Final
Friday 1/29 2/5 ADD/Pay/Drop DEADLINE 2/12 Lincoln’s Day 2/19 2/26 3/4 3/11 3/18 3/25 4/1 Cesar Chavez Day Spring Recess 4/8 Withdrawal Deadline
4/15 4/22 4/29 5/6 5/13 5/20
• You need your own Scientific Calculator for In Class Exams. No Cell Phone Calculators or Any Other Devices with Calculators are allowed. • No Late Exams will be Accepted. So please simply turn in what you are able to complete. Do So By the End of the Due-Date Class Session.
21MM46: Course Syllabus
Page 5
INFORMATION SHEET I. Prerequisite:
Math 38 with a grade of “C” or better (or equivalent).
II. I expect the following contributions from you: 1. Read the course outline, read the assigned material, and work the assigned problems as well as you can. Make notes of difficulties you have so that you can ask about them in class. 2. Keep up to date with the course outline in your studying and your homework. (This is very important because we move at a rapid pace and it is very difficult to catch up once you fall behind.) You are expected to spend two hours of out-of class studying and doing homework for every one hour spent in class. 3. Study very hard and ask questions about the assigned material. 4. Take every quiz and every test Turn in every Exam. 5. Be conscientious about your attendance. It is the policy of the San Diego Community College District to drop students for non-attendance if more than three (3) consecutive unexcused absences occur OR if more than a total of six (6) unexcused absences occur. 6. Show a certain amount of politeness and respect for the teacher and for your fellow students. 7. Take pride in doing well in this course.
III. IMPORTANT DATES: *
1. The last day to add classes is Friday, 5 February 2016.
*
2. The last day to drop without receiving a “W” on your record is Friday, 5 February 2016.
*
3. The withdrawal deadline is: Friday, 8 April 2016.
*
4. IF YOU WITHDRAW FROM THE CLASS, PLEASE DO SO OFFICIALLY.
ELEMENTARY ALGEBRA/GEOMETRY – MATH 46 5 Units/Spring 2016 Reference No.: 00591 Hours/Days: T/Th: 6:55 a.m. - 9:25 a.m.
Instructor: Milarm Arnold, Jr. Room: MS-211
Description: MATH046 Elementary Algebra/Geometry Elementary Algebra and Geometry serves as the foundation for other math courses and is the first of a two-course integrated sequence in algebra and geometry intended to prepare students for transfer level mathematics. This course covers the real number system; writing, simplifying, solving and graphing of linear equations in one variable; solving linear inequalities in one variable; solving systems of linear equations in two variables; algebraic operations with polynomial expressions and factoring; functions; operations involving rational expressions and related equations; and geometric properties of lines, angels, and triangles. It is intended for students preparing for higher-level geometry and algebra courses. (FT) Not Applicable to Associate Degree, basic skills. Text: Bittinger, Elementary & Intermediate Algebra, 6th Edition (Required) Bittinger, Elem & Intermed Algebra Stu Sol Manual (Optional) also Bass, Alan, Geometry, Fundamental Concepts and Applications (Required) The Course: This course is designed to prepare you for Intermediate Algebra and Trigonometry. It is also extremely helpful for students planning to take the CBEST or other exams. The real number system and linear equations covered in Chapters 1-3 should be review for most of you. We will cover Chapters 1 through 8.3 in depth, and in that order. Ideally, we can cover one chapter in 8 hours of in-class time. Some chapters may take less time and others may take more. This gives us the flexibility to be able to devote extra time to topics if needed. A tutoring lab supplements the class, and you are expected to take full advantage of these services to help you get through the course successfully. Objectives: Upon successful completion of the course, the student will be able to: 1. Perform the basic arithmetic operations with real numbers using exponents and the appropriate order of operations; 2. Translate verbal expressions into algebraic expressions, and simplify them; 3. Apply properties of equality to solve linear equations and related application problems; 4. Solve linear inequalities in one variable, including absolute value; 5. Determine the equation for a linear function and graph it; 6. Graph linear inequalities in two variables; 7. Perform the basic arithmetic operations with polynomials, including the appropriate use of the remainder thereon; 8. Factor polynomial expressions using a variety of methods; 9. Solve polynomial equations by factoring; 10. Graph quadratic functions; 11. Identify functions from their equations and graphs, use appropriate functional notation, and perform the basic arithmetic operations with functions, including composition;
21MM46: Course Syllabus
12. 13. 14. 15.
Page 2
Perform the basic arithmetic operations with rational expressions; Identify important angle relationships with dealing with lines and triangles; Identify simple geometric shapes and apply the appropriate area and perimeter formulas; Apply the appropriate skills in application problems.
Details/Description of Assessment Measure (SLO): #1 – Students will demonstrate the relationship between the equation of a line, a table of values (solutions of the equation), and the graph of the line. #2 – Students will be able to factor polynomials using a variety of methods. #3 – Students will use correct mathematical terminology to identify geometric shapes and their properties. Attendance: Regular class attendance is required for you to do well in this class. If you miss two (2) consecutive meetings you may be dropped from the class. You are allowed four (4) unexcused absences. You will be dropped from the class on your 5th unexcused absence. You will be allowed two (2) excused absences. It is possible to re-enroll if you can convince me of your motivation to stay and your grade supports that motivation. If for some reason you decide to withdraw from this class, please do so officially. You are reminded that a “W” cannot be recorded for you after FRIDAY, 8 APRIL 2016. If you withdraw after this date an appropriate academic grade or administrative symbol will be assigned. Being late to class one or two times during the semester is understandable. However, habitual tardiness is strongly discouraged, for it is both discourteous and disruptive to class procedures. Habitual tardiness will be sufficient cause for exclusion from the class. You will be expected to stay until the class is over to receive credit for attending that session. Behavior: You will be dropped from class if you exhibit deliberate behavior which prohibits or impedes any member of the class from pursuing any class assignment or learning opportunity within the classroom. Copies of Policy 3100 are available in the Student Affairs Office. Grades and Grading: Your grade will consist of points received on exams, homeworkassignment quizzes, and a final exam. There will be term exams, giving a total of 700 possible points. The final exam will be comprehensive and worth 300 points. Over the semester I will assign homework problems from the text. Grade Scale: A = 90-100% B = 80-89% C = 70-79% D = 60-69% F = below 60%
Points: 900-1000 points 800-899 points 700-799 points 600-699 points below 600 points
700 from term exams
Exams A, B, C 234 points each DO NOT BE LATE TURNING 300 from Final Exam IN EXAMS OR QUIZZES. 1,000 Total SEE NOTE BELOW!
Your exams will count 70% of your final grade. Your final examination will count 30% of your final grade. Geometry Section counts 20% of your Final Exam. Homework: Each student is expected to do his/her own work on exams. You must show all your work to fully benefit later. Do NOT put down just an answer. All work should be neat; sloppy work may not be useful for review. Homework assignments should also be neat and show all work. On your homework, however, I encourage you to work with a study partner or your classmates.
21MM46: Course Syllabus
Page 3
Homework is to help you learn and working with others can be a big help. You are the only person who can determine how many problems are necessary for you to do. Do enough until you understand the concept (and that is possible). Most sections are divided into “drill” problems and “word problems”. Make sure you try some of each, particularly the latter. Cheating: It is assumed that each student will do his/her own homework. If a student is caught cheating on a test he/she will receive a “0” grade on that test and that grade will NOT be changed. Cheating on the final exam will result in a course grade of an “F”. Tentative Dates for Term Exams: Exam A: Given: Due:
Thur., 25 Feb. 2016 Thur., 3 Mar. 2016
Exam B: Given: Due:
Thur., 17 Mar. 2016 Thur., 24 Mar. 2016
Exam C: Given: Thur., 28 Apr. 2016 Due: Thur., 5 May 2016
Tentative Make-up Dates for Term Exams: It is your responsibility to approach me in order to make arrangements to MAKE-UP AN EXAM. Do so as soon as possible by leaving a message in my Voice Mail Box or a written message in Room K-203, (see NOTE below), or by contacting me at our next class meeting. LATE EXAMS/QUIZZES MAY BE SEVERELY PENALIZED OR EVEN FORFEITED.
Incompletes: To receive an incomplete, you must be passing this course and are unable to take the final examination. Tentative Schedule: See next page NOTE: Voice Mail # for Messages (619) 388-2767 + 5011 DO NOT BE LATE TURNING Written Message Center Room K-203 IN EXAMS OR QUIZZES. Early-Assignment Turn-In Room K-203 or In Class SEVERE PENALTY POSSIBLE FINAL: Thursday, 19 May 2016
ROOM:
MS-211, 6:55 a.m. - 9:25 a.m.
Please note that this syllabus and schedule are subject to change. •
It is the student’s responsibility to drop all classes in which he/she is no longer attending (for on campus classes).
•
It is the instructor’s discretion to withdraw a student after the add/drop deadline (see above) due to excessive absences.
•
Students who remain enrolled in a class beyond the published withdrawal deadline, as stated in the class schedule, will receive an evaluative letter grade in this class.
Credit/No Credit Beginning Fall 2011, the title “credit/no credit” will change to “pass/no pass” in accordance with Title 5, section 55022.
21MM46: Course Syllabus
Page 4
Mathematics 046 – Elementary Algebra/Geometry Tentative Schedule – Spring 206 (1/25/2016 – 5/21/2016) Monday 1-25 2/1 2/8 2/15 Washington’s Day
2/22 2/29 3/7 3/14 3/21 3/28 Spring Recess 4/4 4/11 4/18 4/25 5/2 5/9 5/16
Tuesday 1/26 1.1 1.6 2/2 2.1 2.3 2/9 2.6 2.7 2/16 3.3 3.5 2/23 3.6 3.7 3/1 4.3 4.4 3/8 4.7 4.8 3/15 5.3 5.4 3/22 5.7 5.8 3/29 Spring Recess 4/5 6.2 6.3 4/12 6.6 6.7 4/19 7.1 4/26 7.3 5/3 7.5 5/10 8.1 8.2 5/17 Review
Wednesday 1/27 2/3 2/10 2/17 2/24 3/2 3/9 3/16 3/23 3/30 Spring Recess 4/6 4/13 4/20 4/27 5/4 5/11 5/18
Thursday 1/28 1.1 1.8 2/4 2.4 2.5 2/11 3.1 3.3 2/18 3.5 3.6 2/25 Exam A 4.1/2 Given 3/3 A due 4.5 4.6 3/10 5.1 5.2 3/17 Exam B 5.5 Given 5.6 3/24 B due 6.1 6.2 3/31 Spring Recess 4/7 6.4 6.5 4/14 6.6 6.7 4/21 7.2 4/28 Exam C 7.4 Given 5/5 C due 8.1 8.2 5/12 Review 5/19 Final
Friday 1/29 2/5 ADD/Pay/Drop DEADLINE 2/12 Lincoln’s Day 2/19 2/26 3/4 3/11 3/18 3/25 4/1 Cesar Chavez Day Spring Recess 4/8 Withdrawal Deadline
4/15 4/22 4/29 5/6 5/13 5/20
• You need your own Scientific Calculator for In Class Exams. No Cell Phone Calculators or Any Other Devices with Calculators are allowed. • No Late Exams will be Accepted. So please simply turn in what you are able to complete. Do So By the End of the Due-Date Class Session.
21MM46: Course Syllabus
Page 5
INFORMATION SHEET I. Prerequisite:
Math 38 with a grade of “C” or better (or equivalent).
II. I expect the following contributions from you: 1. Read the course outline, read the assigned material, and work the assigned problems as well as you can. Make notes of difficulties you have so that you can ask about them in class. 2. Keep up to date with the course outline in your studying and your homework. (This is very important because we move at a rapid pace and it is very difficult to catch up once you fall behind.) You are expected to spend two hours of out-of class studying and doing homework for every one hour spent in class. 3. Study very hard and ask questions about the assigned material. 4. Take every quiz and every test Turn in every Exam. 5. Be conscientious about your attendance. It is the policy of the San Diego Community College District to drop students for non-attendance if more than three (3) consecutive unexcused absences occur OR if more than a total of six (6) unexcused absences occur. 6. Show a certain amount of politeness and respect for the teacher and for your fellow students. 7. Take pride in doing well in this course.
III. IMPORTANT DATES: *
1. The last day to add classes is Friday, 5 February 2016.
*
2. The last day to drop without receiving a “W” on your record is Friday, 5 February 2016.
*
3. The withdrawal deadline is: Friday, 8 April 2016.
*
4. IF YOU WITHDRAW FROM THE CLASS, PLEASE DO SO OFFICIALLY.
