Elementary Algebra
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First Day Handout for Students  

MATD 0370 - 46584 DIL 112

Elementary Algebra (computer mediated - distance learning )

Spring, 2012 - 16 week session - Jan. 17 - May 10, 2012              

Welcome to your on-line developmental mathematics course pages.

Please bookmark this page.

Dr. Nancy C. Miller, Ph.D.                              

Office Hours: Tuesdays 9:30am-10:40 & 1:15pm-2:15 & 2:30pm-3:30 & 3:45pm-4:30

Thursdays 9:30am-10:40 & 2:30pm-3:30 & 3:45pm-4:30

Call or e-mail if you need an appointment.

Office:  1025 Pin Campus         ...................................Phone Number: ....223-8270

Mailing address: Pinnacle ACC Campus, 7748 Highway 290 West, Austin, TX 78736

web pages: www.austincc.edu/ nmiller      

<nmiller@austincc.edu>                                                    

Orientation: send your e-mail responses to the orientation questions linked from the list on the left and attend in person orientation if you like, Thursday Jan. 19, 5-6pm, 6th floor learning lab computer room at PIN campus on Highway 290 west.

All of the information to help you get started and important information for the course are linked from the list at the left and listed below.

If you still have questions or concerns contact me at  nmiller@austincc.edu .

To promote a sense of collective community among students and eliminate the anonymity that may sometimes characterize computer courses, this course requires interaction with your professor and/or your classmates by e-mail or on ACC Blackboard discussion board each week.

This course requires regular weekly online homework on MyMathLab software, software quizzes, and weekly homework on paper showing steps that you must turn in every Monday.

You will have 4 major tests on paper, and a final exam on paper in any Austin Community College testing center.  Tests must be taken on schedule or a 3 point penalty results for being 1-7 days late.  If you are more than 7 days late taking a test or have not prepared for a test, you will be withdrawn from the course and you could have other consequences if you are TSI mandated.

Text: Elementary Algebra, Concepts and Applications incl MyMath Lab, 8th Edition, Bittinger & Ellenbogen; Pearson. (ISBN 0-321-61615-4)Hardback or (ISBN 0-321-67373-5) Loose Leaf or only MyMathLab access. Stand alone text without MyMath Lab 0-321-55717-4. You may purchase a Student MyMathLab Access Kit at an ACC bookstore or online from Pearson Higher Ed at http://www.coursecompass.com/html/student_buy_access.html
that includes the online text. If you have purchased a new text at an ACC bookstore, it includes the software MyMathLab access kit.

You can access the text (not the software) for the first two weeks online at

http://www.austincc.edu/mthdept2/text/ -----------password: acc0370


MyMathLab software access is required for this course. The paper text is not required as you can read the text in MyMathLab online software after you purchase access. All new MATD 0370 textbooks purchased at an ACC bookstore include MyMathLab access. It is usually not included with the purchase of a used book, and may not be included with a new book purchased at a different bookstore. Refer to the handout Information about MyMathLab.

This is the same book we are using in our "regular" classroom based lecture courses, with additional required MyMathLab software.

  Supplemental Materials: Paper, Pencils, Erasers, Scientific Calculator (non-graphing calculator needed for all tests after pre-test), Graph Paper , math notebook for doing and keeping online homework problems steps and quiz problems' steps for review, ACC e-mail address, computer requirements, mailing envelopes, and stamps. Stamps and envelopes are not required if you submit your written homework through an ACC campus mail room each Monday.

 Prerequisite: C or better in Basic Math Skills (MATD 0330), or its equivalent knowledge shown on the pretest the first week of the course.

 Course Rationale:  Welcome to Elementary Algebra. As with all developmental math courses, Elementary Algebra is designed to provide you with the mathematical foundation and personal confidence to enable you to use math in your future life.  This course is designed to prepare you for MATD 0390 (Intermediate Algebra) and the algebra-based courses which follow it or MATD 0385.  It also offers you one way to prepare for MATH 1332 (College Mathematics, formerly Topics in Mathematics) and MATH 1342 (Elementary Statistics) after you have passed the math portion of a state approved test like TCOMP or THEA.

Course Description:  A course exploring concepts covered in first year high school algebra. Topics include review of operations on real numbers, graphing linear equations, solving linear and quadratic equations, solving systems of linear equations, polynomials, factoring, and applications.

Course Objectives:  They are posted at http://www.austincc.edu/mthdept2/tfcourses/obj0370.htm and included in this handout.

 Instructional Methodology:  This course is a personal computer/internet based course in which students work on software and in a textbook, participate in online discussions, do paper homework, and take paper-and-pencil tests in an ACC Testing Center.

 Attendance:  Attendance is required participatation every week by responding to the weekly discussion question, turning in paper homework showing steps every week,  and working online homework and online quizzes every week.  TSI-mandated students who are not turning in paper written and online homework every week and working on computer instruction and quizzes every week will be withdrawn. Students taking any test more than 7 days late will be withdrawn.

TSI Warning: for students who are not TSI complete**
Students who are not TSI complete in math are not allowed to enroll in any course with a math skill requirement.
All students are required to be "continually progressing" in order to remain enrolled in this course. If this is the only developmental class you are enrolled in, and you withdraw yourself from this course or are withdrawn by your instructor, then:
a) You may be withdrawn from courses that you should not be enrolled in, such as any class with a math skill requirement.
b) You will have a hold placed on your registration for the following semester. The Hold will require that you register for the next semester in person with an advisor or counselor and that you work with the Developmental Math Advisor during that semester.
c) You will continue to face more serious consequences, up to being restricted to only registering for developmental courses, until you complete the required developmental math course or satisfy the TSI requirement in another way.

Importance of Completing Developmental Course Requirements
The first steps to achieving any college academic goal are completing developmental course requirements and TSI requirements. The first priority for students who are required to take developmental courses must be the developmental courses. TSI rules state that students are allowed to take college credit courses, if they are fulfilling their developmental requirements. Because successful completion of dev courses is so important, ACC will intervene with any student who is not successfully completing developmental requirements. This intervention can mean a hold on records, requiring developmental lab classes, working with the Dev Math Advisor, and monitoring during the semester. More information can be found at http://www.austincc.edu/math/tsiwarning.htm.
** If you are unsure whether or not this warning applies to you, see an ACC advisor immediately

 *Additional information about ACC's mathematics curriculum and faculty is available on the Internet at <http://www.austincc.edu/math/>

Withdrawal Policy:  It is the student's responsibility to initiate all withdrawals in this course.  The instructor may withdraw students for not showing progress each week, but makes no commitment to do this for the student. After the withdrawal date, neither the student nor the instructor may initiate a withdrawal.  TSI-mandated students not showing weekly progress will be withdrawn.  The withdrawal deadline is April 23, 2012.

Reinstatement Policy:  Students who withdrew or were withdrawn generally will not be reinstated unless they have completed all course work, quizzes, and tests necessary to place them at the same level of course completion as the rest of the class with a C average or higher.

Incomplete grades (I) are given only in very rare circumstances.  To qualify for an  "I", a student must have completed almost all exams and assignments, have a passing grade, and have a serious situation occur that prevents course completion after the withdrawal deadline.

In Progress grades (IP) are also rarely given. In order to earn an "IP" grade the student must remain in the course, be making satisfactory weekly progress with quiz grades of 80 or higher, turning in weekly homework, and not be meeting the standards set to earn the grade of C or better in the course.  Students who earn an IP grade must register and pay for the same course again to receive credit.  Students who make a grade of IP should not go on to the next course with that grade.  A maximum of two IP grades can be awarded in any one course.

  HOMEWORK:  There are two parts to your homework grade: online homework in MyMathLab software and written (paper) homework. Each section has an assignment for both online and written. The credit for your homework grade is half online and half written. You must submit both types of homework to receive full homework credit. You should watch section videos or do My Study Plan, work the online homework first, and then the written homework for each section.

1. Online homework. Work through my study plan or multi-media text watching videos before working through each section's online homework assignment in MyMathLab software. Click "check" after doing each online problem. The numbers on the software online homework do not match those numbers listed on our assignment sheet, but they are the same type problem, with different numbers, so you can get help with that matching text problem in an ACC learning lab or from a friend or family member using your text if needed. Redo each online homework problem until you get it correct, by selecting a similar problem when you miss one. Come back to a homework problem after study, when you need to redo and select a similar problem. All online homework in MyMathLab must be completed by the time and date listed on the assignment sheet with a score of 80% or higher. You can come back later and raise your score to 100% by doing similar problems on those you missed. Keep a paper math notebook showing steps for online homework and quiz problems for each section after 1.7, to review.

2. Written paper homework should be sent in every Monday as listed on the assignment sheet that Nancy posts.  These required dates provide the pace during the semester. This is not a self-paced course unless you are ahead of schedule.  Paper homework should be submitted either in person or by US mail (Nancy C. Miller, Pinnacle Campus ACC, 7748 Highway 290 West, Austin, TX 78736), or by dropping it off at the Pinnacle Campus mail room.  Homework can also be sent through ACC campus mail by placing it in an envelope, clearly addressed to Nancy C. Miller at PIN campus, and then submitting it at any ACC campus mailroom.  Your name, Nancy Miller , and section numbers such as 1.1 must be clearly marked on all homework submitted.  Answers to odd problems are in your book and/or online text, but be sure to show all steps to the problems and check after you finish problems.  You are responsible for checking your answers and asking for help with problems that are challenging to understand.  Paper homework assignments will be checked for completeness.  In order to receive full credit for witten homework, you must do all assigned problems and show all work.  Show steps on problems in order on your paper you turn in. You may turn in extras.  Please ask for help if you need it from Nancy Miller or the free learning lab at any ACC campus.  If you do not complete a homework assignment, you will receive a small amount of partial credit for your attempt.  The average of your homework scores will count 10% of your overall grade in the course.

  Quizzes:  Your first quiz grade is your Elementary Algebra pre-test grade which you need to take by Jan. 19, without a calculator, in one of ACC’s testing centers unless you have credit at ACC for MATD 0330 with a grade of A, B, or C.  Ask Nancy if you will have difficulty getting in by Jan. 19, and she may be able to help you.  You will have quiz grades in the MyMathLab Algebra software also. The first quiz to take online is the online version of the pretest. All students must earn at least 80% on the online MyMathLab pretest, before doing other software work in MyMathLab. The average of all your required quiz grades will count 10% of your overall grade in the course. Be sure to complete all online quizzes with scores of 80% or higher.

 Class Participation Expectation:  You will participate in e-discussion every week by answering the discussion question for that week (by e-mail to Nancy, or on ACC Blackboard discussion board, or with written homework) or visiting or calling Nancy Miller ’s office during office hours with questions.  Find these weekly questions in the weekly discussion sent to your ACC e-mail address, or on ACC Blackboard.   Satisfactory participation must take place each week in addition to weekly work on-line, turning in paper homework weekly, taking online quizzes, and taking 4 major tests, and the final exam.

Tests: You will be taking Tests and a comprehensive departmental Final Exam in the ACC Testing Center you indicated to Nancy Miller.  More information about taking tests in ACC’s Testing Centers is available at http://www.austincc.edu/testctr/. 

Testing:  You must take four major tests, and a departmental final exam.  In order to pass the class, you must take the final exam and the four major tests.  The tests each count 14% of your course grade and final exam, test 5, counts 20%.  You will take the four major tests, and the final exam in an ACC Testing Center.  Distance learning students must complete and turn in all work and take the final exam in an Austin Testing Center no later than Tuesday, May 8, 2012 (by Thursday, noon, at PIN campus only with permission).    Earlier exam testing by May 1st, is necessary outside of Austin/ Round Rock/ or CYP testing centers. Required testing dates are provided on the homework schedule so you will complete the course during the semester.  For hours, locations, and testing center policies, please refer to http://www.austincc.edu/testctr.

 v      You may earn 5 bonus points on any test by taking that test early, before the dates for which it is scheduled if you have completed the homework sections, and quizzes required.  Please notify Nancy in advance if you plan to take a test early so that the test will be available.  You will lose 3 points for taking any test 1-7 days late after the date on the homework assignment sheet. You will be withdrawn from the course for more than 7 days late testing or not preparing for tests.   

  v      In order to receive full or partial credit, please show your work for all problems on each test.  If you use scratch paper while taking any exam, please clearly number any work you want Nancy to refer to, and do that work in an orderly fashion.  Since partial credit will be given, at least attempt each problem.  No partial (or full) credit will be awarded for work done mentally or on your calculator because your instructor cannot read your thoughts or see your calculator. Check your test work with your non-graphing calculator except on the course pretest.  J

  • Grading policy:  Final overall grades in this class will be calculated based on the following:
  • grading components ..........................................course grade scale 

PARTICIPATION

4%

 

OVERALL AVERAGE

GRADE

HOMEWORK AVERAGE

(ONLINE & PAPER)

10%

 

Both 90% minimum average and final exam score of at least 80 or higher

A

QUIZ AVERAGE

(ONLINE)

10%

 

Both 80% minimum average and final exam score of at least 70 or higher

B

4 MAJOR TESTS AT ACC

(14%EACH TEST)

56%

 

Both 70% minimum average and final exam score of at least 60 or higher

C

FINAL EXAM 

20% 

 

Both 60% minimum average and final exam score of at least 50

D

TOTAL POSSIBLE 

100% 

 

Below 60% average or final exam score below 50

F

So if a student earns 90% on course work, but the final exam grade is 75, the final exam grade of 75 would mean the student would earn a course grade of B. Both minimum average and minimum final exam scores are required for any grade as listed above.

 v      Missed exam policy:  You must take all tests within 7 days of the deadline to stay in the course. If your lowest regular test grade is lower than your final exam grade, the final exam grade will replace your lowest test grade and will also count as your final exam grade. 

v      Policy about late work: Participation on discussion questions must take place at least once every week.  No late or make-up participations are accepted after 10 days, except for the second week for students who may change into our course the second week of the semester.  Late homework is accepted for 80% credit up to 7days late, but let Nancy know the reason.  Late tests have 3 points deducted from the test grade for 1-7 days late.  Tests not prepared for and taken by 7 days after the date listed on the homework sheet result in withdrawal from the course.

In this class, you will be in charge of your learning in a way that is different from a traditional lecture class. You may work ahead of the schedule and complete the course before the end of the semester.  You also may spend less time on familiar topics and more time on troublesome topics. In order to complete the course within the semester, you must keep up with the weekly schedule and test schedule provided. In order to succeed in this class, you should plan to spend 9 to 15 hours (12 hours national average) each week (or more, if necessary) working on the material, depending on how much of the material is review for you. The program is available all day everyday except when it is being backed up.  

  If you receive an error message while working on the MyMathLab software, print or copy the error message. Wait a while then try again. If you still have difficulties, use the instructions on the MyMathLab web site.

Be sure you have: a printed list of written homework problems including deadlines each week for submission, when tests are to be taken, and what those tests will cover, and understanding of your testing, homework, and grading procedures. Check off on your printed list all online homework completed and all written homework you have submitted. If you do not have this information, please ask your instructor, Nancy Miller for them.

 MANAGING YOUR TIME ON THE COMPUTER is essential. You may work ahead and finish early.  Do not fall behind schedule.

 Additional Help:  Free tutoring is available at the Learning Labs at most ACC campuses.  For more info about the Learning Labs, please visit the web site   http://www.austincc.edu/tutor/ .

 Speak to your instructor if you have any questions or concerns about participating in this class. If, for any reason, you would prefer to attend a traditional lecture class, please ask your instructor to help you make a schedule change during the first 7 days in the semester.

16 Week Schedule

Week
1..... Introduction, Pretest, 1.1-1.6
2..... 1.7, 1.8, 2.1-2.3
3..... 2.4-2.6, Test 1
4 .....3.1-3.4
5 .....3.5-3.7

6 .....4.1-4.3, Test 2, 4.4
7 .....4.5-4.8, 5.1
8 .....5.2-5.5
9 .....5.6-5.7, Test 3, 6.1
10 ....6.2-6.4
11 ....6.6, 6.7, 7.1
12 ....7.2-7.3
13 ....7.4, Test 4
14 ....8.1, 8.2, 9.1
15 ....9.3, 9.4
16 ....Review, Final Exam

 MATD 0370 course learning outcomes.
Students will:
1.  Perform operations involving integers, fractions, decimals, percents, signed exponents, scientific notation, ratios and proportions.
2.  Solve problems involving geometric figures including perimeter, area, similarity, and the Pythagorean Theorem. Analyze,  interpret, and solve problems from line graphs, bar graphs, pictographs, and pie charts.
3.  Use appropriate forms of linear equations to identify slope, intercepts, and to graph lines. Find linear equations from given points and graphs of lines. Find solutions to systems of two equations by graphing.
4.  Solve applied problems by defining variables, writing equation(s), solving equation(s), and writing an answer to the question in context.   Problems requiring quadratic equations are included as well as problems requiring single linear equations and systems of linear equations.
5.  Factor and perform operations to combine and/or simplify expressions and solve equations including numerical, some polynomial, and some rational expressions and equations.  Simplify some radical expressions.
6.  Use mathematical language, symbols, and notation to communicate mathematical concepts, demonstrate reasoning, and solve problems.

ACC Course Policies
Students who enroll for the third or subsequent time in a course taken since Fall, 2002, may be charged a higher tuition rate, for that course.
State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities.  With certain exceptions, all course withdrawals automatically count towards this limit.  Details regarding this policy can be found in the ACC college catalog.
Statement on Scholastic Dishonesty:  A student attending ACC assumes responsibility for conduct compatible with the mission of the college as an educational institution.  Students have the responsibility to submit coursework that is the result of their own thought, research, or self-expression.  Students must follow all instructions given by faculty or designated college representatives when taking examinations, placement assessments, tests, quizzes, and evaluations.  Actions constituting scholastic dishonesty include, but are not limited to, plagiarism, cheating, fabrication, collusion, and falsifying documents.    Penalties for scholastic dishonesty will depend upon the nature of the violation and may range from lowering a grade on one assignment to an “F” in the course and/or expulsion from the college.  See the Student Standards of Conduct and Disciplinary Process and other policies at http://www.austincc.edu/current/needtoknow
Student Rights and Responsibilities:  Students at the college have the rights accorded by the U.S. Constitution to freedom of speech, peaceful assembly, petition, and association. These rights carry with them the responsibility to accord the same rights to others in the college community and not to interfere with or disrupt the educational process. Opportunity for students to examine and question pertinent data and assumptions of a given discipline, guided by the evidence of scholarly research, is appropriate in a learning environment. This concept is accompanied by an equally demanding concept of responsibility on the part of the student. As willing partners in learning, students must comply with college rules and procedures.
Statement on Students with Disabilities:  Each ACC campus offers support services for students with documented disabilities.  Students with disabilities who need classroom, academic or other accommodations must request them through the Office for Students with Disabilities (OSD).   Students are encouraged to request accommodations when they register for courses or at least three weeks before the start of the semester, otherwise the provision of accommodations may be delayed.  
Students who have received approval for accommodations from OSD for this course must provide the instructor with the ‘Notice of Approved Accommodations’ from OSD before accommodations will be provided.   Arrangements for academic accommodations can only be made after the instructor receives the ‘Notice of Approved Accommodations’ from the student.  
Students with approved accommodations are encouraged to submit the ‘Notice of Approved Accommodations’ to the instructor at the beginning of the semester because a reasonable amount of time may be needed to prepare and arrange for the accommodations.   
Additional information about the Office for Students with Disabilities is available at http://www.austincc.edu/support/osd/
Safety Statement:  Austin Community College is committed to providing a safe and healthy environment for study and work. You are expected to learn and comply with ACC environmental, health and safety procedures and agree to follow ACC safety policies. Additional information on these can be found at http://www.austincc.edu/ehs. Because some health and safety circumstances are beyond our control, we ask that you become familiar with the Emergency Procedures poster and Campus Safety Plan map in each classroom. Additional information about emergency procedures and how to sign up for ACC Emergency Alerts to be notified in the event of a serious emergency can be found at http://www.austincc.edu/emergency/.
Please note, you are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be dismissed from the day’s activity, may be withdrawn from the class, and/or barred from attending future activities..
Use of ACC email:  All College e-mail communication to students will be sent solely to the student’s ACCmail account, with the expectation that such communications will be read in a timely fashion. ACC will send important information and will notify you of any college related emergencies using this account.  Students should only expect to receive email communication from their instructor using this account.  Likewise, students should use their ACCmail account when communicating with instructors and staff.  Instructions for activating an ACCmail account can be found at http://www.austincc.edu/accmail/index.php.
Testing Center Policy:  Under certain circumstances, an instructor may have students take an examination in a testing center.  Students using the Academic Testing Center must govern themselves according to the Student Guide for Use of ACC Testing Centers and should read the entire guide before going to take the exam.  To request an exam, one must have:
ACC Photo ID
Course Abbreviation (MATD )
Course Number (0370)
Course Synonym (46584)
Course Section (112)
Instructor's Name,,, Nancy Miller, be sure to include first and last name
Do NOT bring cell phones to the Testing Center.  Having your cell phone in the testing room, regardless of whether it is on or off, will revoke your testing privileges for the remainder of the semester.  ACC Testing Center policies can be found at http://www.austincc.edu/testctr/
Student And Instructional Services:  ACC strives to provide exemplary support to its students and offers a broad variety of opportunities and services.  Information on these services and support systems is available at:   http://www.austincc.edu/s4/
Links to many student services and other information can be found at: http://www.austincc.edu/current/
ACC Learning Labs provide free tutoring services to all ACC students currently enrolled in the course to be tutored.  The tutor schedule for each Learning Lab may be found at:  http://www.autincc.edu/tutor/students/tutoring.php
For help setting up your ACCeID, ACC Gmail, or ACC Blackboard, see a Learning Lab Technician at any ACC Learning Lab

Course-Specific Support Services:  ACC main campuses have Learning Labs which offer free first-come first-serve help with math from tutors and computer tutorials for math courses. Learning Lab information is posted at http://www.austincc.edu/tutor . DVDs that cover all topics can be checked out in the Learning Resource Centers (libraries). Ask your instructor if you need help finding them.

 INSTRUCTIONAL SERVICES  http://www.austincc.edu/current  

Common Course Objectives for MATD 0370 ELEMENTARY ALGEBRA (Revised October 2009):

The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.

Overall objectives:

1. Students will feel a sense of accomplishment in their increasing ability to use mathematics to solve problems of interest to them or of use in their chosen fields. Students will attain more positive attitudes based on increasing confidence in their abilities to learn mathematics.
2. Students will learn to understand material using standard mathematical terminology and notation when presented either verbally or in writing.
3. Students will improve their skills in describing what they are doing as they solve problems using standard mathematical terminology and notation.

1. Description and classification of whole numbers, integers, and rational numbers using sets and the operations among them

1. identify and use properties of real numbers
2. simplify expressions involving real numbers
3. evaluate numerical expressions with integral exponents

2. Polynomials

1. distinguish between expressions that are polynomials and expressions that are not
2. classify polynomials in one variable by degree and number of terms
3. simplify polynomials
4. add, subtract, multiply (including the distributive law), and divide polynomials (including division by monomials, but excluding long division)
5. factor polynomials in one or more variables (including factoring out the greatest common factor, factoring by grouping, factoring trinomials in which the leading coefficient is one, factoring trinomials in which the leading coefficient is not one, and factoring the difference of two squares)
6. understand and use the exponent laws involving integer exponents
7. convert numbers into and out of scientific notation and perform multiplication and division with numbers written in scientific notation

3. Solve linear equations in one variable involving integral, decimal, and fractional coefficients and solutions

4. Solve and graph linear inequalities

5. Application problems

1. write and evaluate linear expressions from verbal descriptions
2. solve application problems which lead to one of the following types of equations: linear equations in one variable, systems of two linear equations in two variables, quadratic equations, and rational equations with monomial numerators and denominators)
3. solve literal equations for a specified variable using addition and multiplication principles
4. use given data to estimate values and to evaluate geometric and other formulas
5. solve problems involving the Pythagorean theorem, similar triangles, and proportions

6. Linear equations in two variables

1. identify the relationship between the solution of a linear equation in two variables and its graph on the Cartesian plane
2. understand and use the concepts of slope and intercept
3. determine slope when two data points are given
4. graph a line given either two points on the line or one point on the line and the slope of the line
5. write an equation of a line given one point on the line and the slope of the line, or two points on the line
6. identify lines given in standard, point-slope, or slope-intercept forms and sketch their graphs
7. solve systems of linear equations

7. Quadratic equations

1. find solutions to quadratic equations using the technique of factoring and using the principle of square roots
2. recognize a need to use the quadratic formula to solve quadratic equations and solve quadratic equations by using the quadratic formula when some simplification of square roots is needed

8. Description and classification of irrational numbers

1. simplify radical expressions
2. use decimal approximations for radical expressions

9. Rational expressions

1. determine for which value(s) of the variable a rational expression is undefined
2. simplify rational expressions containing monomials, binomials, and trinomials
3. multiply and divide rational expressions containing monomials, binomials, and trinomials
4. add and subtract rational expressions with like denominators and rational expressions with unlike denominators (only monomials and binomials that do not require factoring)

10. Geometry

1. understand the difference between perimeter and area and be able to use formulas for these appropriately
2. solve application problems involving angles and polygons.



This webpage was created by Nancy Miller .
It was last updated on July 22, 2011 .