Course: Math 1009 Structure of Number Systems I Fall 2015

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1 Course: Math 1009 Structure of Number Systems I Fall 2015 Text: Mathematical Reasoning by Long, DeTemple & Millman, 2015 Description: This course is a study of the basic structure of the real number system, set theory, basic logarithms, informal geometry, and problem solving. The goal of this course is to increase the student s knowledge and understanding of mathematical theories and concepts. This is not a course in computational arithmetic skills. This course is recommended for students majoring in elementary or junior high education. Prerequisite: MTH 0908 and MTH 0909 both with a C or better, or the appropriate score on a math placement exam. Instructor: Dan Serafini dan_serafin@ivcc.edu Office: Will use to communicate and address questions. Refer to last page for tentative class schedule, course name and code (MyMathLab), and office hours. (Note the following grading information is subject to change by the instructor) GRADING A B C D F Percent % 80 89% 70 79% 60 69% < 60% Grade Components (subject to change at instructor s discretion) Exams four. See missed exam policy. (approximately 600 points) Homework and/or Quizzes (approximately 100 points) Final 100 points (accumulative material) (approximately 100 points) Projects (3-4) (approximately 200 points) Daily Journal tbd You are expected to read the text in order to prepare for and build upon lectures that are conducted during class. It is recommended that you spend two hours of study for each hour of class time attended. Your daily journal is designed to identify those new techniques and / or concepts for instructing in mathematics. The daily journal should also identify any positive or negative instructional techniques that you find of interest. Expected Learning outcomes & related competencies Upon completion of the course, the student will be able to: 1. Students will be able to demonstrate knowledge of problem solving techniques. 2. Students will be able to demonstrate knowledge of sets, Whole Numbers, & Functions. 3. Students will be able to demonstrate knowledge of Whole Number Computation. 4. Students will be able to demonstrate knowledge of Integers and Number Theory. 5. Students will be able to demonstrate knowledge of Rational Numbers as Fractions. 6. Students will be able to demonstrate knowledge of Decimals, Percent, and Real Numbers. (Please refer to the course syllabus on IVCC website for further detail of subcategories) 1

2 Group Work: (If a team project is selected) in a real world situation you will likely be working as part of a team. Since in real life situations such teams are not self selected, I will determine the team membership. Projects: All projects and group exercises must be completed in a professional manner (typed) with correct grammar, punctuation, and spelling. Where necessary, additional handouts or presentation materials may be necessary and will be identified at the assignment of the project. MyMathLab online assignments: You will be assigned graded homework assignments through MyMathLab. These assignments are required and are part of your grade. Testing Policy: You are expected to take each exam at the scheduled times. However, if you have an unavoidable absence you may request to take the test at an alternative time provided you contact me before the exam begins and explain your absence. I will decide if and when you take your makeup exam. If you request a makeup via , it is your responsibility to check your messages for my response. If you do not receive a response from me within a reasonable amount of time, you MUST follow up with another attempt to contact me. Failure to follow the policy will result in denial of your request. All makeup exams, unless stated otherwise, will be completed in the Assessment Center within two days of the exam. If additional time is required, it must first be approved by the instructor. If an exam is not made-up, the student will receive a zero (0). Exceptions to the above policy will only be given for situations including, but not limited to, jury duty, military orders, serious medical problems (you or immediate family member) or a death of an immediate family member. You MUST be able to provide documentation. (Acceptable documentation will include such things as an accident report, doctor's note or hospital discharge papers.) Immediate family member is defined to be a spouse, partner, parent, grandparent, child, grandchild, sibling, or your spouse's/partner's immediate family member. These requests will be considered on an individual basis. Repeated requests for makeup exams WILL REQUIRE that you provide documentation Any missed exam by the end of the semester will earn a score of zero. Attendance: Attendance is taken for the purpose of financial aid, state auditing, and athletic progress reports. If you miss class, it is your responsibility to check the schedule, secure notes, and work on the practice problems for the section covered that day. No more than three days of absence is allowed. A fourth absence will result in you being dropped from the class. Class Behavior: You are expected to be in class at the appointed time and tardiness will be addressed. You are not to have telephones on during class. You are expected to respect your colleagues in class when interacting in the classroom interactions and activities. 2

3 Cheating: A score of zero will be given on any assignment or exam where cheating occurs. Cheating includes, but is not limited to copying answers off other students tests, submitting another person s work as your own, and having crib sheets during a test. Repeated acts of cheating will result in your withdrawal from the course. A telephone cannot be used as a calculator and all phones must to be shut off during class. Classroom etiquette: Be courteous of others' rights in the classroom. Each student is also held to "Student Code of Conduct" as specified in the student handbook. Violation of this student code may result in withdrawal from the course. Withdrawals: Withdrawal from this course is not automatic. You will need to initiate a withdrawal from this course by completing the form in the Records Office or through webadvisor. IVCC has the right to rescind a withdrawal in cases of academic dishonesty or at the professor s discretion. If you do not initiate a withdrawal, you may receive a grade for this course, which in most cases, is an F. Cancelled class: Every effort will be made to announce class cancellations in a timely manner. You can refer to the IVCC web page for class cancellations. Inclement weather: In the event of bad weather, please listen to your local radio station or visit the IVCC web page for school closings. If school has not been cancelled, use your own judgment as to the feasibility of traveling to school. Grading process: If you do not understand how I graded your work or exam or you disagree with the number of points earned, you have the right and responsibility to initiate contact with me about the matter within 2 days of the material being returned to you. Graded materials: You are to keep all graded materials for this course until after you receive your final grade. If there is a clerical error, and you do not receive the grade you earned, these materials will be needed to resolve this issue. In the absence of these materials, the professor's record will be assumed to be correct. Special Needs Educational Support Services: If you are a student with a documented cognitive (learning disability), physical or psychiatric disability (anxiety, depression, bipolar disorder, AD/HD, post-traumatic stress, and others) you may be eligible for academic support services such as extended test time, texts in audio format, note taking services, etc... If you are interested in learning if you can receive these academic support services, please contact Tina Hardy (tina_hardy@ivcc.edu, or ), or stop by the Disability Services Office in C-211. If you are a student with a documented cognitive (learning disability), physical or psychiatric disability (anxiety, depression, bipolar disorder, AD/HD, post-traumatic stress, and others) you may be eligible for academic support services such as extended test time, texts in audio format, note taking services, etc... If you are interested in 3

4 learning if you can receive these academic support services, please contact Tina Hardy or ), or stop by the Disability Services Office in C-211. This course syllabus is subject to change. Class Schedule: The following is a tentative class schedule. Every attempt will be made to keep on this schedule. However, unforeseen problems may arise requiring some adjustments. SECTIONS COVERED Section 1.1 Section 1.2 Section 1.3 Section 1.4 Section 1.5 Section 1.6 Section 2.1 Section 2.2 Section 2.3 Section 2.4 Section 3.1 Section 3.2 Section 3.3 Section 3.4 Section 3.5 Section 4.1 Section 4.2 Section 4.3 Section 5.1 Section 5.2 Section 5.3 Section 6.1 Section 6.2 Section 6.3 Section 6.4 Section 7.1 Section 7.2 Section 7.3 Section 7.4 Intro. To Problem Solving Polya s Problem-Solving Principles More Problem-Solving Strategies Algebra as a Problem-Solving Strategy Additional Problem-Solving Strategies Reasoning Mathematically EXAM CHAPTER 1 Sets and Operations on Sets Sets, Counting, and Whole Numbers Addition and Subtraction of Whole Numbers Multiplication and Division of Whole Numbers EXAM CHAPTER 2 Numeration Systems Past and Present Non-decimal Positional Systems Algorithms for Addition and Subtraction of Whole Numbers Algorithms for Multiplication and Division of Whole Numbers Mental Arithmetic and Estimation EXAM CHAPTER 3 Divisibility of Natural Numbers Tests for Divisibility Greatest Common Divisors & Least Common Multiples Representations of Integers Addition and Subtraction of Natural Numbers Multiplication and Division of Natural Numbers EXAM CHAPTER 4 & 5 Basic Concepts of Fractions and Rational Numbers Addition and Subtraction of Fractions Multiplication and Division of Fractions Rational Number System EXAM CHAPTER 6 Decimals and Real Numbers Computations with Rational Numbers Proportional Reasoning Percent EXAM CHAPTER 7 4

5 Tentative Class Schedule Week Sections Week Sections 8/18 8/20 1.1, 1.2, /20 10/22 5.2, 5.3, Exam 4&5 8/25 8/27 1.4, 1.5, /27 10/29 6.1, 6.2 9/1 9/3 Exam C1, 2.1, /3 11/5 6.3, 6.4, Project 2 9/8 9/10 2.2, 2.3, /10 11/12 Exam C6, 7.1 9/15 9/17 Exam C2, 3.1, /17-11/19 7.2, 7.3 9/22 9/24 3.2, 3.3, /24 12/1 7.4, Exam C7 9/29 10/1 3.5, Project 1 12/3 Project 3 10/6 10/8 Exam C3, 4.1, /08 Final 10/13 10/15 4.2, 4.3, 5.1 My Math Lab COURSE NAME: MTH 1009 Structure of Numbers COURSE ID: serafini59787 MTH 1009 MTH 1004 MTH 1000 MTH 1003 Office Hours Monday 12:00 09:00 11:00 Tuesday 09:30 10:45 12:15 Wednesday 12:00 12:00 02:00 3:00 Thursday 09:30 10:45 12:15 Friday 12:00 09:00 11:00 Room E-231 E-325 E324 E-213 E-209 Updated July