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Course Information
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Course Description:
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This course is a conceptual approach to the study of the properties of number sets within the real number system. Topics include tools for problem solving, sets, functions, logic, numeration systems, properties of and operations with whole numbers, integers, rational numbers and real numbers. Successful completion of an Arithmetic Proficiency Test is required. Students will participate in discussions and submit projects as well as Internet assignments and activity critiques.
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Course Objectives:
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Through the study of MATH 1410, the student will acquire the ability to:
1. explain, illustrate, and use Polya's 4-step problem solving process: understand the problem, devise a plan, carry out the plan, look back;
2. explain, illustrate, and apply the following strategies: make a drawing, guess and check, make a table, use a model, work backward, use a variable, make an organized list, and elimimate possibilities;
3. apply concepts of patterns to problem solving: Fibonacci numbers, Pascal's triangle, arithmetic sequence, geometric sequence, triangular numbers, and finite differences;
4. use algorithms for solving equations and inequalities in problem solving;
5. use concepts of set theory in problem solving: disjoint sets, subsets, equal sets, one-to-one correspondence, finite sets, infinite sets, intersection of sets, union of sets, complement of a set, and Venn diagrams;
6. use concepts of functions and graphs in problem solving;
7. apply concepts of deductive reasoning to problem solving;
8. represent numeric values using symbolisms of a variety of numeration systems: Egyptian, Roman, Mayan, and Hindu-Arabic;
9. illustrate and apply models for numeration and place value in bases two through twelve;
10. apply models for addition and subtraction algorithms;
11. apply techniques for mental calculations: compatible numbers, substitutions, equal differences, and add-up method;
12. apply techniques for estimation of sums and differences: rounding, compatible numbers, and front-end estimation;
13. apply models for multiplication algorithms;
14. apply techniques of mental multiplication: compatible numbers, substitutions, and equal products;
15. apply techniques for estimation of products: rounding, compatible numbers, and front-end estimation;
16. apply models for division algorithms;
17. apply the technique of equal quotients for mental division;
18. apply techniques for estimation of quotients: rounding, compatible numbers, and front-end estimation;
19. apply concepts of exponents;
20. apply concepts of number theory to problem solving: factors, multiples, divisibility, prime and composite numbers;
21 apply concepts of greatest common divisor (factor) and least common multiple in problem solving;
22. apply models for operations with integers;
23. apply models for concepts of fractions: part-to-whole, division, and ratio;
24. apply concepts of fraction relationships: equality, common denominators, inequality, density; mixed numbers, and improper fractions;
25 apply algorithms for operations with fractions: addition, subtraction, multiplication, and division;
26. apply concepts for mental calculations with fractions: compatible numbers, substitutions, equal differences, add-up, and equal quotients;
27. apply concepts for estimation with fractions: rounding and compatible numbers;
28. use concepts of fractions in problem solving;
29. apply models for decimal concepts: decimal squares and number line;
30. apply concepts of decimal relationships: equality and inequality;
31. apply concepts of rational numbers: decimal form, density, and estimation;
32. apply algorithms for operations with decimals: addition, subtraction, multiplication, and division;
33. convert repeating decimals to rational numbers;
34. apply concepts for mental computation with decimals: substitutions and add-up, equal quotients, and compatible numbers;
35. apply concepts for estimation with decimals: rounding, front-end estimation, and compatible numbers;
36. and use concepts of ratio, percent and scientific notation in problem solving.
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Prerequisites and Corequisites:
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Documented eligibility for collegiate mathematics; one high school credit each in algebra I, algebra II, and geometry. Students who are subject to A89 admission requirements who do not have a high school credit in geometry must successfully complete MATH 0990 prior to enrollment in MATH 1410.
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Course Topics:
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Module 1 - Foundations
Module 2 - Fundamentals
Module 3 - Operations
Module 4 - Number Theory
Module 5 - Number systems
Module 6 - Proportion
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Specific Course Requirements:
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Basic familiarity with Microsoft Office components such as Word, PowerPoint, and FrontPage.
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Textbooks, Supplementary Materials, Hardware and Software Requirements
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Required Textbooks:
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Supplementary Materials:
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Students will find the use of a graphing calculator such as the TI-83 Plus helpful. A student's solution manual for the textbook is optional.
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Hardware Requirements:
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Software Requirements:
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The minimum requirements can be found at http://www.rodp.org/students/hardware_software.htm. Specific hardware requirements for this course include: Real Player, Media Player, Acrobat Reader, and Microsoft Office components such as Word, PowerPoint, Excel, and FrontPage.
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Instructor Information
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Please see the separate page inside the course to find instructor contact information as well as a statement of virtual office hours and other communication information.
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Assessment and Grading
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Testing Procedures:
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All testing will be done online. Students are honor-bound to produce work which is completely their own.
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Grading Procedure:
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Each of the 6 modules will include discussions, activity critiques, web assignments, and a quiz. Assignments will count 10 points each, quizzes will count 50 points each, and other assignments will count 25 or 50 points each. The final exam will count 150 points.
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Grading Scale:
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900-1000---A
800-899---B
700-799--C
600-699--D
Below 600--F
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Assignments and Participation
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Assignments and Projects:
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Please see the list of assignments with due dates inside the course.
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Class Participation:
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All students must participate in all interactive aspects of the course. Students must communicate with other students through the discussion board, students are expected to communicate with the instructor as a learning resource, and students must check the course bulletin board frequently for announcements.
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Punctuality:
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Most weeks there will be two assignments that are due by 8:00am on Monday. These deadlines are firm to help keep students on track. Module quizzes and activity critiques are due by midnight on Fridays. No late quizzes will be accepted. Remember that the assignments are worth 10 points each and the module tests are worth 50 points each.
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Course Ground Rules
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Cheating and other forms of academic misconduct, including plagiarism, are prohibited. The instructor has the authority to assign a zero for the exercise or examination or to assign an F in the course in the case of academic misconduct.
Please include a subject line when e-mailing the instructor or other class members. Please ask permission before sending e-mails with large attachments.
The discussion board is for class purposes only. Please remember to be courteous to other users at all times. The discussion forum will be monitored. Make sure that you remember that even though you may not mean to be rude or cruel sometimes e-mails and postings can be misunderstood. Please be respectful and mindful of the instructor and your fellow students.
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Guidelines for Communications
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Email:
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- Always include a subject line.
- Remember without facial expressions some comments may be taken the wrong way. Be careful in wording your emails. Use of emoticons might be helpful in some cases.
- Use standard fonts.
- Do not send large attachments without permission.
- Special formatting such as centering, audio messages, tables, html, etc. should be avoided unless necessary to complete an assignment or other communication.
- Respect the privacy of other class members.
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Discussion Groups:
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- Review the discussion threads thoroughly before entering the discussion. Be a lurker then a discussant.
- Try to maintain threads by using the "Reply" button rather starting a new topic.
- Do not make insulting or inflammatory statements to other members of the discussion group. Be respectful of other’s ideas.
- Be patient and read the comments of other group members thoroughly before entering your remarks.
- Be cooperative with group leaders in completing assigned tasks.
- Be positive and constructive in group discussions.
- Respond in a thoughtful and timely manner.
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Web Resources:
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Library
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The Tennessee Virtual Library is available to all students enrolled in the Regents Degree Program. Links to library materials (such as electronic journals, databases, interlibrary loans, digital reserves, dictionaries, encyclopedias, maps, and librarian support) and Internet resources needed by learners to complete online assignments and as background reading must be included in all courses.
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Students With Disabilities
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Qualified students with disabilities will be provided reasonable and necessary academic accommodations if determined eligible by the appropriate disability services staff at their home institution. Prior to granting disability accommodations in this course, the instructor must receive written verification of a student's eligibility for specific accommodations from the disability services staff at the home institution. It is the student's responsibility to initiate contact with their home institution's disability services staff and to follow the established procedures for having the accommodation notice sent to the instructor.
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Syllabus Changes
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The instructor reserves the right to make changes as necessary to this syllabus. If changes are necessitated during the term of the course, the instructor will immediately notify students of such changes both by individual email communication and posting both notification and nature of change(s) on the course bulletin board.
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Technical Support
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Telephone Support:
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If you are having problems logging into your course,
timing out of your course, using your course web site tools, or other technical problems, please contact the AskRODP Help Desk by calling
1-866-550-7637 (toll free)
or go to the AskRODP website at:
http://help.rodp.org
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