1. Introduction to Algebra Lessons Jerry Whaley EDU 655 Dr. Kris Jamsa Oct 12, 2009

2. Table of Contents Syllabus ► INTRODUCTION INTRODUCTION ► CHAPTER-R  LESSON R.1 & 2 LESSON R.1 & 2  LESSON R.3 & 4 LESSON R.3 & 4  LESSON R.5 & REVIEW LESSON R.5 & REVIEW ► CHAPTER 1 PREPARATION CHAPTER 1 PREPARATION ► CALENDER CALENDER Course Information ► NEEDS ASSESSMENT NEEDS ASSESSMENT ► SYSTEM REQUIREMENTS SYSTEM REQUIREMENTS ► “TO THE STUDENT”TO THE STUDENT ► REFERENCES REFERENCES END

3. Cochise College Syllabus for MAT 082 – Elementary Algebra You will be using Hawkes Learning Systems Courseware. You may not be familiar with this system, but is quite simple, easy to follow, and has some very powerful tutorials and technical support. I will do my best to help you in moving through the program, but you have any software issues, you can get professional help from the software guru’s through their technical support @ 1-800-426-9538. You need to be aware this is the first time this course has been taught as an online classroom. With this in mind please be patient with me and I will do my best to provide you with the best e-learning experience I can. May I suggest you relax and enjoy this program. You will be given many opportunities to learn and practice prior to being certified (formally evaluated) and grades entered in the grade book. I will be as lenient as school policies allow me to do so. My name is Jerry Whaley, I will be your instructor for the next 8 weeks. You can email me any time at: whaleyj@cochise.eduwhaleyj@cochise.edu Copyright 2009 © Cochise College Continue END Table of Contents

4. Syllabus Chapter-R ► Understand how the book and software work by reading the abbreviated “TO THE STUDENT” information presented at the end of this syllabus or if you purchased the book you will find the full version of the information on pages xviii – xxiv. ► Review Chapter-R.1 & 2:  Use the Instruct button in the software program or; ► Read Exponents: pages 1-5, omitting TI-84 Plus Graphing Calculator section. ► Read Rules for Order of Operations: pages 7-10. ► Complete Lesson R.1: Review of Exponents and Order of Operations. *  Use the Instruct button in the software program or; ► Read Prime Numbers and Composite Numbers: pages 14-16. ► Read Prime Factorization of Composite Numbers: pages 17-19. ► Read Least Common Multiple (LCM): pages 19-21. ► Complete Lesson R.2: Review of Prime Numbers, Factoring, and LCM. * * Certify all material before midnight of posted due date (See Calendar). (See Calendar)(See Calendar) Copyright 2009 © Cochise College Continue END Table of Contents Previous

5. Syllabus Chapter-R ► Review Chapter-R.3 & 4:  Use the Instruct button in the software program or; ► Read Fractions (Multiplication and Division): pages 24-25. ► Read Multiplying with Fractions: page 26. ► Read Building Fractions to Higher Terms and Reducing Fractions: pages 27-28. ► Read Multiplying and Reducing Fractions at the Same Time: page 29. ► Read Dividing with Fractions: pages 30-32. ► Complete Lesson R.3: Review of Fractions (Multiplication and Division). *  Use the Instruct button in the software program or; ► Read Addition with Fractions: pages 37-40. ► Read Subtraction with Fractions: pages 40-42. ► Complete Lesson R.4: Review of Fractions (Addition and Subtraction). * * Certify all material before midnight of posted due date (See Calendar). (See Calendar)(See Calendar) Copyright 2009 © Cochise College Continue END Previous Table of Contents

6. Syllabus Chapter-R ► Review Chapter-R.5:  Use the Instruct button in the software program or; ► Read Decimals and Percents: pages 47-49. ► Read Addition with Decimal Numbers: pages 49-50. ► Read Subtraction with Decimal Numbers: pages 50-51, omitting TI-84 Plus Graphing Calculator exercise. ► Read Multiplication with Decimal Numbers: page 52. ► Read Division with Decimal Numbers: pages 53-55, omitting TI- 84 Plus Graphing Calculator exercise. ► Read Understanding Percent & Decimals and Percent: pages 56- 59. ► Complete Lesson R.5: Review of Decimals and Percents. * ► Review all of Chapter-R.1 through R.5  Review Chapter Index of Key Ideas and Terms: pages 64-68.  Complete Chapter Review: pages 69-74. * * Certify all material before midnight of posted due date (See Calendar). (See Calendar)(See Calendar) Copyright 2009 © Cochise College Continue END Previous Table of Contents

7. Syllabus Preparing for Chapter-1 ► Did you know?  Zero was originally not a number recognized by the early Greek mathematicians. ► If you were to look at a number graph/coordinate plane or the compass points you will notice a place-value or place-holder where the origin begins which defines their direction or distance. ► Zero was not identified until the Hindu-Arabic system replaced Roman numerals. Copyright 2009 © Cochise College Continue END Previous Origin In Chapter 1, we will be using just a basic number lines. Table of Contents

8. October 2009 Continue END Back Table of Contents

9. Needs Assessment… ► Four steps in conducting a needs assessment:  “Gap” analysis – ► Determine the current skills, knowledge, and abilities of your subjects – These lessons provide an introduction to Algebra. ► What is needed for personal and professional success? –Knowledge and skills for problem solving and analytical thinking.  Priorities and importance – ► Cost effective - Online training is available almost anywhere. The product is reasonably priced. ► Legalities and safety factors - Adhere to copyright laws and must teach netiquette etiquette. Lifetime license. ► Skilled educators - Minimum requirement suggested would be a Bachelor's degree. ► Meeting expectations - This is intended to prepare learners for the next phase of Algebra and other analytical skills. Continue END Previous Table of Contents

10. Needs Assessment…  Performance opportunities – ► Improving performance effectiveness - This is a basic introduction training lesson, providing the prerequisite to advance to the next level.  Growth opportunities – ► A building block to advanced mathematical, analytical, and problem solving skills. Continue END Previous Table of Contents

11. System Requirements ► 1 GHz or faster processor ► Windows 2000 or later ► 128 MB RAM (256 MB recommended) ► 200 MB hard drive space ► 8000x600 resolution (1024x768 recommended) ► Internet Explorer 6.0 or later ► CD ROM drive if book purchased ► External storage device with no Internet connection. Copyright 2009 © Cochise College Continue END Previous Table of Contents

12. “To The Student…” ► The goal of this course is to introduce you to algebraic functionality and succeed in your goal. ► Three rules to help yourself while studying: 1.Reserve a block of time to study every day. 2.Study what you do not know. 3.Do not be afraid to make mistakes. ► How to use the book and software more effectively:  Absorb and review the instructions in order to prepare for each lesson and assignment.  Read examples carefully.  Work with practice in order to build problem solving skills.  Chapter Reviews provide essential information in preparing you for the Chapter Tests, so do not overlook them.  Chapter Tests are effective tools to show you where you are, where you need to be, and whether you are really there. Copyright 2009 © Cochise College Continue END Previous Table of Contents

13. “…To The Students” ► Preparing for tests can be stressful and may cause “math anxiety”. This course is designed to help minimize that affect through trial and error, building confidence through the ability to practice, repeat, and moving forward as you understand each mathematical problem. ► Understand what you know, review what you do not know until you do know, do not study at the last minute, and heed your instructors comments returned to you. Copyright 2009 © Cochise College Continue END Previous Table of Contents

14. References Edkins, J. (2009). Points on a Compass. Retrieved Oct 10, 2009 from http://gwydir.demon.co.uk/jo/units/angles.htm http://gwydir.demon.co.uk/jo/units/angles.htm Horton, William. (2006). E-Learning by Design. San Francisco, CA: Pfeiffer END Previous Table of Contents