Course:Math 1009 Structure of Number Systems I

Text:Mathematical Reasoning by Long, DeTemple & Millman, 7th Edition

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.

Calculator: You will need a scientific or graphing calculator. You may not store any information in the graphing calculator (see cheating below). A random check may occur before/during exams to check calculator memory. Please remove calculator covers before each exam.

Prerequisite: MTH 0908 and MTH 0909 both with a C or better, or the appropriate score on a math placement exam.

Instructor: Dan Serafini

E-mail:

Office: Will use e-mail 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 / 90 – 100% / 80 – 89% / 70 – 79% / 60 – 69% / < 60%

Grade Components (subject to change at instructor’s discretion)

Exams – seven. See missed exam policy.(approximately 700 points)

Homework(approximately 100 points)

Final – 100 points – (accumulative material)(approximately 100 points)

Presentations – 2 each (approximately 100 points)

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.

Lesson Presentations

Each student is required to present a lesson to the class. Your lesson will be assigned during the first week with a due date for the specific presentation. Your lesson is expected to last between 35 and 40 minutes unless otherwise designated due to the material in the specific section. You must be prepared for the presentation since time requirements does not allow us to adjust the presentation schedule.

Your grade will be determined by the following categories:

  • Meeting time requirement (10 minutes)
  • Covering all relevant topics from the section (15 minutes)
  • Accuracy of the topic (s) covered. (15 points)
  • Creativity including encouraging class participation and class exercises. (10 points)

Following the presentation, we will cover any aspects of the section that need further clarification and answer questions concerning the topics discussed.

Preparation for class: This course uses “My Math Lab” for all homework. You will be assignedhomework through MyMathlab. These assignments are required and are part of your grade.In addition, the textbook is also on line and may be used if you prefer not to purchase a hard copy. The completion of reading for each section, and the completion of your homework according to the schedule are critical to your performance in the class. You should anticipate a minimum of two hours preparation for each one hour in the classroom. The class session is designed to instruct in mathematical concepts and answer questions as they pertain to the subject at hand. The classroom session is NOT a replacement for you doing your homework or reading the textbook. If you need additional time to discuss any topic, you should use the Learning Center or meet with me during my posted office hours. All homework, regardless of dates shown in the MyMathLab website is due on the day of the scheduled exam for that particular chapter. There are always reasons for a person not completing an assignment or missing class, do not expect that the reason will be accepted as an excuse. Do not confuse the term “excuse” with “reason”. It is not my policy to offer extra credit.

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.

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 email, 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 make-up exams, unless stated otherwise, will be completed in the Assessment Center within two days of the scheduled 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.There is NO such thing as a make-up exam.

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 offinancial aid, state auditing, and athletic progress reports. If you miss class, it is your responsibility to check the schedule, secure notes, and work on material for the section covered that day. No more than eight days of absence prior to the drop date deadline is allowed. A ninth day of absence will result in you being removed from the class. The paper work will be completed and submitted two days following the ninth absence.

Class Behavior: You are expected to be in class at the appointed time and tardiness will NOT be accepted. Coming into a class late is disruptive to the learning experience, is rude behavior, and cannot occur. If you know that you will be late for a class, notify me before the class. You are not to have telephones on during class. You are expected to respect your colleagues in class when interacting in the classroom activities.

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.Act 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 will 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 determine class cancelation by referring to the IVCC web page or the announcement board posted at the main entrance to the college.

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.

If at the end of the semester you have satisfactorily completed a minimum of 90% of your homework, I can exercise the right to advance your grade 1 % at my own discretion.

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. No exception.

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 (, or 224-0284), 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. This is a tentative Schedule and subject to change.

Tentative Class Schedule

Week / Sections / Week / Sections
1/11 – 1/19 / 1.1, 1.2, 1.3 / 3/26 – 3/30 / 5.2, 5.3, Exam 4&5
1/22 – 1/26 / 1.4, 1.5, 1.6 / 4/2 – 4/6 / 6.1, 6.2
1/29 – 2/2 / Exam C1, 2.1, 2.2 / 4/9 – 4/13 / 6.3, 6.4
2/5 – 2/9 / 2.2, 2.3, 2.4 / 4/16 – 4/20 / Exam C6, 7.1
2/12 – 2/16 / Exam C2, 3.1, 3.2 / 4/23 – 4/27 / 7.2, 7.3
2/21 – 2/23 / 3.2, 3.3 / 4/30 – 5/4 / 7.4, Exam C7
2/26 – 3/2 / 3.4, 3.5 / 5/7 / Final Exam
3/5 – 3/9 / Exam C3, 4.1, 4.2 / l
3/19 – 3/23 / 4.2, 4.3, 5.1

My Math Lab

COURSE NAME: MTH 1009 Mathematical Reasoning Serafini Spring 2018

COURSE ID: serafini00064

Monday / Tuesday / Wednesday / Thursday / Friday
0800 - 0900 / OFFICE
0930 – 1045 / OFFICE / MTH 1008 / MLC (9 – 10) / MTH 1008 / OFFICE
1000 - 1100 / MTH 1009 / MTH 1009 / OFFICE / MTH 1009
1100 – 1200 / MTH 1008 / OFFICE / MTH 1008 / MTH 1008
1200 - 0100
0100 - 0200 / MTH2003 / MTH2003 / MTH2003 / MTH2003
0530 - 0800 / MTH 1004

Note: I will be instructing MTH 0017 at the beginning of the semester and it meets from 02:00 – 04:00 for 01/10 – 01/24. During that time period there will be no office hours during this time period.

Lesson Presentation Assignments

Section / Name Section / Name Student
1.4 / Algebra as a Problem Solving Strategy
1.5 / Additional Problem Solving Strategies
1.6 / Reasoning Mathematically
2.1 / Sets and Operation o Sets
2.2 / Sets, Counting, and Whole Numbers
2.3 / Addition and Subtraction of Whole Numbers
2.4 / Multiplication and Division of Whole Numbers
3.1 / Numeration Systems Past and Present
3.2 / Non-decimal Positional Systems
3.3 / Algorithms for Addition & Subtraction
3.4 / Algorithms for Multiplication & Division
3.5 / Mental Arithmetic and Estimation
4.1 / Divisibility of Natural Numbers
4.2 / Tests for Divisibility
4.3 / GCD and LCM
5.1 / Representations of Integers
5.2 / Addition and Subtraction of Integers
5.3 / Multiplication & Division of Integers
6.1 / Basic Concepts of Fractions & Rational
6.2 / Addition & Subtraction of Fractions
6.3 / Multiplication & Division of Fractions
6.4 / The Rational Number System
7.1 / Decimals & Real Numbers
7.2 / Computation With Decimals
7.3 / Proportional Reasoning
7.4 / Percent

Updated December 2017