Math 0995 Syllabus
COURSE GOAL: Math 0995 is designed to give students the algebra skills and understanding
necessary to fulfill their university QL requirement.
TOPICS COVERED: This course is an intermediate course in algebra that begins with a review
of introductory algebra concepts. The course is comprised of three units: Manipulating and
Simplifying Expressions, Solving Equations and Inequalities, and Graphing Equations and
Inequalities. Each unit will consider real-world applications of the associated concepts and
procedures and will incorporate the following expression types: linear, quadratic, general
polynomial, rational, roots and radicals, exponential, and logarithmic. Specific content
objectives are listed at the end of this syllabus.
IDEA COURSE OBJECTIVES:
This course will involve the following objectives as outlined by USU’s IDEA Center (in
decreasing order of emphasis):
(Objective 1) Gaining factual knowledge (terminology, classifications, methods, trends).
(Objective 2) Learning fundamental principles, generalizations, or theories
ASSIGNMENTS AND LESSONS: All lessons are accessed by clicking the Unit Tabs on the
course homepage in Canvas. There are three units that must be completed for the course. Each
unit is made up of lessons that contain a set of notes that can be downloaded and printed and one
or more video presentations that have been created and produced by the course instructor. Each
lesson will also announce a set of problems that should be completed by accessing MyMathLab,
an online platform that will allow you to practice problems and receive feedback.
CALCULATORS: Students are encouraged to purchase a graphing calculator. The lessons
will be presented using a TI 84+ calculator, but any non CAS calculator with graphing
capabilities will be acceptable for use in the class. You will not need to use a graphing calculator
until the last unit so you do not need one right away. CAS calculators such as TI-Nspire CAS,
TI-89, Casio FX 2.0, and Casio fx-CP400 are not permitted when taking an exam.
ASSIGNMENTS (HOMEWORK): (50 pts) All assignments (homework) will be done using
MyMathLab. You need to follow the lessons that are given on the modules page in Canvas. There are 43
lessons and each lesson tells you which sections you should work on using MyMathLab. If you get stuck
on certain problems when you are doing assignments, you can have the software show you examples from
the online text that can help you better understand the problem you are working on. It can also show you
how to work the problem if you have missed it a couple of times. You will be given four chances to
correctly answer any given problem from the homework so if you are careful you should be able to obtain
full credit on every assignment. Your score for each assignment will not be recorded in Canvas, but I will
enter your total assignment score in Canvas at the end of the semester. Your score will be out of a
possible 50 points and will be calculated as followed:
Total Points for Quizzes = (Total Percentage of Homework Scores From MyMathLab) × (0.5)
For example, if you were to successfully answer 93% of all of the problems on the homework
assignments then your total homework score would be (93) ×(0.5) = 46.5 out of 50. There is a gradebook
in MyMathLab that will show your progress for the homework assignments.
QUIZZES: (100 points) All quizzes will be done using MyMathLab. You need to follow the lessons
that are given for each unit in Canvas. After approximately every fourth lesson there will be a quiz that
you will take. The quizzes are not proctored and you will work on them similar to how you do
assignments in MyMathLab. The main difference is that you will only have one chance to correctly
answer each quiz problem. You can, however, retake any quiz as many times as you like (up until the due
date) to get a score you are happy with. There are 10 quizzes required for the course. Your score for each
quiz will not be recorded in Canvas, but I will enter your total quiz score in Canvas at the end of the
semester. Your score will be out of a possible 100 points and will be calculated as followed:
Total Points for Quizzes = Total Percentage of Quiz Scores From MyMathLab
For example, if you were to successfully answer 88% of all of the problems on the 10 quizzes then your
total score for quizzes would be 88 out of 100. There is no time limit for quizzes. There is a gradebook
in MyMathLab that will show your progress for the quizzes.
MIDTERM EXAMS: (100 pts each) Two midterm exams will be given. Exams will be taken online
using MyMathLab. Even though the exam is online, you will be required to schedule an appointment to
take the exam at a USU distance education center. If you do not live close to a USU distance education
center then you need to arrange to take exams with a proctor. If you need to arrange for a proctor then you
are encouraged to request a proctor as soon as possible. The exams will consist of 20 problems that are
generated from the same question bank used to create your homework assignments. You will have 90
minutes to complete each midterm exam. No notes are allowed during the exams. The midterm exams
are not comprehensive. The material covered on each exam is stated on the course schedule provided
later in the syllabus.
FINAL EXAM: (200 pts) The final exam is a comprehensive review of major topics covered during the
semester. There are 40 problems on the final exam. You will be required to schedule an appointment to
take the final exam at a USU distance education center. If you do not live close to a USU distance
education center then you need to arrange to take exams with a USU approved proctor.
The final exam will consist of problems that are generated from the same question bank used to create
your homework assignments and your midterm exams. You will have 2.5 hours to complete the final
exam. No notes are allowed during the final exam.
GRADING: Each midterm exam will be worth 100 points, homework is worth 50 points,
Quizzes are worth 100 points, and the final exam is worth 200 points for a total of 550 points.
Grades will be assigned according to the following ranges (600 pts maximum):
A: 550 – 506
B+: 494 – 484 C+: 439 – 429
D+: 384 – 358
A-: 505 – 495
B: 483 – 451 C: 428 – 396
D: 357 – 300
B-: 450 – 440 C-: 395 – 385
F: 299 and Below
COURSE SCHEDULE AND DUE DATES: You are permitted to complete any exam and any
assignment as soon as you are ready. You are encouraged to work ahead of schedule. The due
dates are the absolute last day that an assignment, quiz, or exam can be completed. If you stay
ahead of schedule then you will have some leeway if something unexpected happens where you
are not able to complete an assignment as planned. This is an online course and you are
at the mercy of technology so plan on technological problems occurring
during the semester. Don’t wait until something is due before you finish it
because you might be let down by technology. You may complete homework
assignments after the given due dates and you will receive 75% credit for the problems
completed after the due date.
Suggested Course Schedule:
Assignments, Quizzes, and Exams
should be completed well in advance of the absolute due date. This date is set
to give students time should they experience unforeseen problems when they
first attempt to complete an assignment or an exam. No extra time for
assignments, quizzes, or exams will be granted to students passed the absolute
due date for a given assignment, quiz, or exam. Not even a technical problem
will serve as an excuse to extend the absolute due date. Students will receive
half-credit for any problems on the homework assignments that are
completed after the absolute due date.
Assignment
Suggested Due Date
*Absolute Due Date
Lesson 1
January 10
January 22
Lesson 2
January 11
January 22
Lesson 3
January 12
January 22
Lesson 4
January 14
January 22
Quiz 1
January 16
May 5
Lesson 5
January 18
January 29
Lesson 6
January 20
January 29
Lesson 7
January 23
January 29
Lesson 8
January 25
February 5
Quiz 2
January 26
May 5
Lesson 9
January 27
February 5
Lesson 10
January 30
February 5
Lesson 11
February 1
February 12
Lesson 12
February 3
February 12
Quiz 3
February 5
May 5
Lesson 13
February 6
February 12
Lesson 14
February 8
February 12
Lesson 15
February 10
February 19
Lesson 16
February 13
February 19
Quiz 4
February 14
May 5
Lesson 17
February 15
February 19
Assignment Suggested Due Date
*Absolute Due Date
Lesson 18
February 17
February 26
Lesson 19
February 20
February 26
Quiz 5
February 22
May 5
Exam 1
February 23
March 6
Lesson 20
February 25
March 12
Lesson 21
February 27
March 12
Lesson 22
February 28
March 12
Lesson 23
March 2
March 12
Quiz 6
March 3
May 5
Lesson 24
March 4
March 12
Lesson 25
March 13
March 20
Lesson 26
March 15
March 20
Lesson 27
March 17
March 27
Quiz 7
March 19
May 5
Lesson 28
March 20
March 27
Lesson 29
March 22
March 27
Lesson 30
March 24
April 2
Lesson 31
March 27
April 2
Quiz 8
March 28
May 5
Lesson 32
March 29
April 2
Lesson 33
March 31
April 9
Lesson 34
April 3
April 9
Lesson 35
April 5
April 16
Quiz 9
April 6
May 5
Exam 2
April 7
April 17
Lesson 36
April 10
April 23
Lesson 37
April 12
April 23
Lesson 38
April 15
April 23
Lesson 39
April 17
April 23
Assignment Suggested Due Date
*Absolute Due Date
Lesson 40
April 19
April 23
Lesson 41
April 21
April 30
Quiz 10
April 23
May 5
Lesson 42
April 24
April 30
Lesson 43
April 26
April 30
Final Exam
May 1
May 5
*I will repeat it again and I will write it in a very big font so
that you can’t miss this:
Assignments, Quizzes, and Exams should be completed well
in advance of the absolute due date. This date is set to give
students time should they experience unforeseen problems
when they first attempt to complete an assignment or an
exam. No extra time for assignments, quizzes, or exams will
be granted to students passed the absolute due date for a
given assignment, quiz, or exam. Not even a technical
problem will serve as an excuse to extend the absolute due
date. Students will receive half-credit for any problems on
the homework assignments that are completed after the
absolute due date.
PROCTORED EXAMS:
The proctored online exams will be taken on a computer. The job of the proctor is to enter a
required password and insure that the instructions specified by the instructor are carried out.
Where do I take the Exams?
Students located near the main USU campus in Logan should take exams in the campus testing
center, located on the south side of the Meril-Cazier Library. Make an appointment by
calling (435)797-3617 at least two (2) business days in advance.
Students who register for online courses through USU Regional Campuses outside of Cache
Valley may schedule exams at their respective centers. Students who do not live near
a USU Regional Campus will need to find someone to proctor their exams.
Finding a Proctor:
Before you can take a proctored exam, you must select a certified proctor.
STEP 1: Sign in to the Materials & Testing Services site to select a proctor in your area.
STEP 2: Contact the proctor and schedule a time to take your exam(s).
STEP 3: YOU'RE DONE!
Who can be a Proctor:
Examples of acceptable proctors are:
•
College or professional testing center staff
•
Full-time school or public librarian
•
Full-time teacher
•
School superintendent, principal, or other administrator
•
Military education director
•
Embassy education officer
Relatives, co-workers (of you or your family), and friends (of you or your family) are not eligible
to proctor exams. Current and former USU students are also ineligible.
Some proctors may charge a fee for their services. Students are responsible for all fees incurred
while taking exams.
If you have questions about finding a proctor or proctor requirements, call (435) 797-3617 or
(855) 834-2370.
CONTACTING THE INSTRUCTOR:
You can contact the instructor by email or by phone. The instructor will respond to emails sent
to him within 24 hours Monday through Friday. If you send an email during the weekend then
he will respond on the following Monday before 10:00PM.
Email Address: [email protected]
Office Phone: 435-797-2036
USU INCOMPLETE GRADE POLICY:
http://www.usu.edu/policies/pdf/Incomplete-Grade.pdf
Students are required to complete all courses for which they are registered by the end of the
semester. In some cases, a student may be unable to complete all of the coursework because of
extenuating circumstances. The term “extenuating” circumstances includes: (1) incapacitating
illness which prevents a student from attending classes for a minimum period of two weeks, (2) a
death in the immediate family, (3) financial responsibilities requiring a student to alter course
schedule to secure employment, (4) change in work schedule as required by employer, (5)
judicial obligations, or (6) other emergencies deemed appropriate by the instructor.
The student may petition the instructor for time beyond the end of the semester to finish the
work. If the instructor agrees, two grades will be given, an I and a letter grade for the course
computed as if the missing work were zero. An Incomplete Grade Documentation Form must be
filed by the instructor in the departmental office. Students may not be given an incomplete grade
due to poor performance or in order to retain financial aid.
SPECIAL NEEDS: If you have a disability that will likely require accommodation for this
course (relating to pedagogy, exams, alternate format – large print, audio, diskette, Braille, etc.),
contact the instructor immediately (first week of class) AND you must document the disability
through the Disability Resource Center. All such requests must be discussed with and approved
by the instructor.
Math 0995 Course Objectives
•
Beabletodetermineallofthefactorsofagivennaturalnumber.
•
Beabletodeterminetheprimefactorizationforagivennaturalnumber.
•
Beabletodeterminetheleastcommonmultipleforagivensetofnaturalnumbers.
•
Befamiliarwiththebasicdefinitionofasetandthenotationusedtodefineaset.
•
Beabletogiveexamplesandnon-examplesofnaturalnumbers.
•
Understandwhynonumbercanbewrittenasafractionwithadenominatorofzero.
•
Beabletowriteanyfractionasareducedfractionwherethenumeratoranddenominatorhave
nocommonfactorsotherthan1.
•
Beabletomultiplyanddividefractionsandwritetheresultasareducedfraction.
•
Beabletocreateanequivalentfractionwithagivendenominator.
•
Beabletoaddandsubtractfractionsandwritetheresultasareducedfraction.
•
Beabletowriteafractionasadecimal.
•
Beabletogiveexamplesandnon-examplesofwholenumbers.
•
Beabletogiveexamplesandnon-examplesofintegers.
•
Beabletogiveexamplesandnon-examplesofrationalnumbers.
•
Beabletogiveexamplesandnon-examplesofirrationalnumbers.
•
Beabletoidentifyproblemsthatcanbeaddressedwitheachsubsetoftherealnumbers.
•
Befamiliarwiththebasicdefinitionoftheabsolutevalueofarealnumber.
•
Beabletodeterminetheabsolutevalueofagivenrealnumber
•
Beabletodeterminetheadditiveinverseofagivennumber.
•
Beabletosimplifyabsolutevalueexpressions.
•
Beabletoaddandsubtractpositiveandnegativeintegers.
•
Beabletomultiplyanddividepositiveandnegativeintegers.Beabletowritearationalnumber
asadecimal.
•
Beabletoconvertarationalnumberfromadecimaltoafraction.
•
Beabletoaddandsubtractrationalnumbers.
•
Beabletomultiplyanddividerationalnumbers.
•
Beabletoevaluatenumericalexponentialexpressions.
•
Beabletosimplifynumericalradicalexpressions.
•
Beabletousetheorderofoperationstoevaluateandsimplifyanexpression.
•
Beabletosimplifyvariableexpressionsusingthealgebraicpropertiesofadditionand
multiplication.
•
Beabletosimplifyvariableexpressionsusingthedistributiveproperty.
•
Understandandbeabletoutilizetherulesformultiplyinganddividingexponentialexpressions.
•
Understandandbeabletoutilizetheruleforsimplifyingthepowerofanexponential
expression.
•
Understandandbeabletoutilizetheruleforsimplifyingthepowersofproductsandquotients.
•
Beabletointerpretandsimplifyanexponentialwithazeroasanexponent.
•
Beabletointerpretandsimplifyanexponentialwithanegativenumberexponent.
•
Beabletosimplifymonomialexpressionsbyusingpropertiesofexponents.
•
Beabletodistinguishbetweenpolynomialandnon-polynomialexpressions.
•
Beabletodeterminethedegreeofapolynomial,theleadingterm,theleadingcoefficient,and
theconstantterm.Studentswillalsobeabletorecognizeanddistinguishbetweenmonomials,
binomials,andtrinomials.
•
Understandthattherearemanyformsthatapolynomialcanbeexpressedinandthereare
advantagestodifferentformsofapolynomialindifferentcontexts.
•
Studentswilllearnthatthedistributivepropertyallowsustochangetheformofanexpression.
Itisanexpressionofarelationandshouldnotbeunderstoodasamandate.
•
Studentswilllearntochangetheformofanexpressionbyusingthedistributivepropertyto
expandtermsinanexpression.
•
Studentswilllearnhowtomultiplypolynomialsandcombineliketermstosimplifytheproduct.
•
Studentswillbeabletoexplainhowdividingapolynomialbyapolynomialisassociatedwiththe
processofdividingnumbersandwritinganimproperfractionasamixednumber.
•
Studentswilllearntodivideapolynomialbyamonomial.
•
Studentswillbeabletousetheirunderstandingofadditionoffractionstojustifythemethodfor
dividingapolynomialbyamonomial.
•
Studentswilllearnthealgorithmforlongdivision.
•
Studentswilllearnthealgorithmforsyntheticdivision.
•
Studentswilllearnwhenitisappropriatetodividepolynomialsusingsyntheticdivision.
•
Studentswilllearnwhatafactorisandwhatitmeanstofactoranexpression.Buildingontheir
experienceswithfactoringintegers,studentswillbeabletodeterminethefactorsforagiven
monomialexpression.
•
Studentswilllearntochangetheformofanexpressionbyusingthedistributivepropertyto
factortermsinanexpression.
•
Studentswillbeabletoidentifythegreatestcommonfactorforalltermsofanexpressionand
willbeabletofactoroutthegreatestcommonfactortocreateafactoredformofthe
expression.
•
Studentswillbeabletoidentifyexamplesandnon-examplesofexpressionsthatarewrittenina
factoredformandthosethatarenot.Theywillbeabletoidentifytheindividualfactorsofan
expressioninafactoredform.
•
Studentswilllearnthemethodoffactoringbygrouping.
•
Studentswilllearnthemethodoffactoringatrinomialwheretheleadingcoefficientis1.
•
Studentswilllearnthemethodoffactoringatrinomialwheretheleadingcoefficientisnot1.
•
Studentswilllearntorecognizeandfactordifferenceofsquaresbinomials.
•
Studentswilllearntorecognizeandfactorperfectsquaretrinomials.
•
Studentswilllearntheimportanceoffactoringexpressionsasaprerequisiteforreducinga
fraction.Thestudentswillfirstreviewtheideaofreducingnon-variablefractionsbydetermining
factorsandthenprogresstoreducingrationalexpressions.
•
Studentswilllearnwhyitisinappropriatetocancelliketermsthatexistinthenumeratorand
denominatorofafraction.
•
Studentswilllearnthatthedomainofarationalexpressionoftenchangeswhenarational
expressionisreduced.
•
Studentswilllearntheirworkwithrationalexpressionsisnotconsideredcompletelysimplified
unlessallofthefactorsofallofthenumeratorsanddenominatorsareidentifiedandthatno
numeratorsanddenominatorshaveacommonfactor.
•
Buildingontheirexperienceswithmultiplyingrationalnumbers,studentswillprogressto
multiplyingrationalexpressions.
•
Studentswilllearnthebenefitsofwritingthenumeratorsanddenominatorsofrational
expressionsinfactoredformwhenmultiplyingordividing.
•
Studentswillbeexposedtodifferentproductsthatcanexistinrationalexpressionsandwillbe
abletocombinethefactorsofagivenproductandreducetheresultingfractions.
•
Studentswillreviewtheideathatdivisionisthesameasmultiplyingbyareciprocal.
•
Buildingontheirexperienceswithaddingrationalnumbers,studentswillprogresstoadding
rationalexpressions.
•
Studentswilllearnthebenefitsofwritingthenumeratorsanddenominatorsofrational
expressionsinfactoredformwhenaddingorsubtracting.
•
Studentswilllearnthatanexponentialexpressionwitharationalexponentisequivalenttoa
radicalexpression.
•
Studentswilllearnthatpositiverealnumbershavetworealsquarerootsandthatnegativereal
numbersdonothaverealsquareroots.
•
Studentswilllearnthatmostprinciplenthrootsofrealnumbersareirrationalandthatany
decimalrepresentationofanirrationalnumberisanapproximation.
•
Studentswilllearnandbeabletojustifythepropertiesassociatedwithmultiplyinganddividing
radicals.
•
Studentswilllearntoreducearadical.
•
Studentswilllearntosimplifyexpressionsbycombiningradicaltermsthatarealike.
•
Studentswilllearntorationalizethedenominatorofanexpression.-Studentswilllearnwhyitis
oftenbeneficialtorationalizethedenominatorofanexpressionthatcontainsaradical.
•
Studentswilllearntherelationshipbetweenlogarithmsandexponents.
•
Studentswilllearntosimplifylogarithmsthatareequaltorationalnumbers.
•
Studentswilllearntomodelreal-worldscenariosusingexpressions.
•
Studentswillbeabletorecognizevariables,constants,andoperationsexpressedverballyorin
writtenlanguage.
•
Studentswilllearnsetnotationasawaytodescribeasetofnumbers,bothfiniteandinfinite,
thatsatisfyagivencondition.
•
Studentswilllearnintervalnotationasawaytodescribecontinuoussets.
•
Studentswillbeabletographasetofnumbersontherealnumberline.
•
Thislessonwillemphasizethatgraphsofequationsarevisualdescriptionsofsolutionsets.This
isstressedinsuchawaythatstudentswillhavethesameunderstandingwhentheylearnto
graphsetsoforderedpairsandtwo-variableequations.
•
Studentswilllearnthatequationsareexpressionsofarelationandtheyindicatetwoformsof
thesamething.
•
Studentswilllearnexamplesofconditionalequations,identities,andcontradictions.
•
Studentswilldeterminethesolutionsofequationsofmanydifferentformsthataresufficiently
simplifiedsothatthesolutionscanbedeterminedwithouttheneedtomanipulateanequation.
Theseequationsshouldincludelinear,polynomial,rational,radical,andexponentialequations.
•
Studentswilllearnthatsolvinganequationisanexerciseinsimplifyinganequationtoaform
wherethevaluesrequiredtosatisfytheequalsrelationcanbedetermined.
•
Bymanipulatingequations,studentswilllearnandwillbeabletojustifythefollowingproperties
ofequations:addition/subtractionproperty,multiplication/divisionproperty,zero-factor
property,nth-rootsproperty,powersproperty,andtheabsolutevalueproperty.
•
Studentswillbeabletosolvelinearequationsthatrequiredistributing,combiningliketerms,
arithmeticwithfractions.
•
Studentswillbeabletoidentifylinearequationsthatareidentitiesandcontradictions.
•
Studentswillunderstandthatalinearequationcanbesolvedwithoutcarryingthesimplification
tothepointwheretheunknownisisolated.Studentswillunderstandthatsolvinganequationis
nottheprocessofgettingxbyitself;itistheprocessofdoingwhateverisnecessaryto
determinethevaluesofx.
•
Studentswillbeabletosolveequationsthatcanbesimplifiedtoaformthatincludesasingle
absolutevaluetermthatisequaltoarealnumber.
•
Studentswillbeabletoidentifyabsolutevalueequationsthatarecontradictions.
•
Studentsshouldbeabletojustifywhenandwhywecanrewriteanabsolutevalueequationas
twoequationsassociatedwithapositiveandnegativevaluefortheargumentoftheabsolute
value.
•
Studentswillbeabletobeabletousethezerofactorpropertytosolvepolynomialequations
thatcanbefactoredbyfactoringoutacommonfactor,factoringtrinomials,anddifference-ofsquaresbinomials.
•
Studentswillbeabletosolvepolynomialequationsthatrequirefactoredtermstobeexpanded
andliketermscombined,inordertousethezero-factorproperty.
•
Studentswillbeexposedtoequationsthathaveimaginarysolutions.Imaginarynumberswillbe
mentionedasatopicoffuturestudy.Studentswilllearnthatsuchpolynomialshavenoreal
numbersolutions,anddependingonthecontextwethenmustdetermineifitisprudentto
determinetheimaginarysolutions.
•
Studentswilllearntheimportanceofrecognizingthedomainofarationalequationasthey
solverationalequations.
•
Studentswillbeabletodeterminetheleastcommonmultipleofthedenominatorsofagiven
rationalequation.
•
Studentswillusethemultiplicationprincipletorewritearationalequationintoanequivalent
formwithnofractions.Studentswillbeabletoidentifytheassumptionsthataremadeabout
thedomainoftheequivalentnon-fractionalform.
•
Studentswillbeabletosimplifyandsolverationalequationsthatcanbesimplifiedintolinear
andpolynomialequations.
•
Studentswillbeabletosolveradicalequationsthatcanbewritteninaformwhereasingle
radicaltermisequaltoarealnumberoralinearequation.
•
Studentswillbeabletojustifytheneedtocheckforextraneoussolutionsafteranequationis
simplifiedbyraisingbothsidesoftheequalsigntoapower.
•
Studentswillbeinformedthatmanyformulasandequationsrequireatermoftheform(x-h)^2.
Examplesofsuchequationswillbepresented.
•
Studentswillbeabletorewriteaquadraticfunctionintotheform(x-h)^2=busingthe
completing-the-squarealgorithm.
•
Studentswillsolvethegeneralquadraticequationax^2+bx+c=0
•
Studentswillbeabletousethequadraticformulatosolvequadraticequationsthatare
originallypresentedinmanydifferentforms.
•
Studentswillbeabletosolvelinearinequalitiesthatrequiredistributing,combiningliketerms,
arithmeticwithfractions.
•
Studentswillbeabletojustifytheneedtochangethedirectionoftheinequalitywhen
multiplyingordividingbyanegativenumber.
•
Studentswilljustifyandrewriteinequalitiesthatcanbewrittenintheform|f(x)|<Aand
|f(x)|>AwhereAisapositivenumber.
•
Studentswillidentifyabsolutevalueequationswithnosolutionsandinfinitesolutions.
•
Studentswilldescribesomeofthesolutionstotwo-variableequationsusingonlyorderedpairs.
•
Studentswillbeabletodetermineifagivenorderedpairisorisnotasolutiontoagiven
equation.
•
ReviewoftheCartesianplane.
•
StudentswilllearntoplotthesolutionsoftwovariableequationsaspointsintheCartesian
plane.
•
Studentswillbeabletodetermineifagivenpointisorisnotapointonthegraphofagiven
equation.
•
Thelessonwillemphasizethegraphofanequationasacontinuoussetofpoints,eachofwhich
isasolutiontotheequation.
•
Studentswilllearnthattheinterceptsofanequationaresolutionstotheequationthat
correspondtoavalueofzeroforthecorrespondingunknown.
•
Studentswilllearnthatthesolutionsoflinearequationsallbelongtoagivenline.
•
Studentswillbeabletodetermineexamplesandnon-examplesoflinearequations.
•
Studentswilllearntosummarizeallofthesolutionstoalinearequationbyidentifyingtwo
solutions.
•
Studentswillbeabletodeterminethex-interceptandy-interceptofthegraphofagivenlinear
equation.
•
Studentswilllearnthatthesolutionsofanequationoftheformy=aisthesetofpointsona
horizontallinethatallhaveay-coordinateofa.
•
Studentswilllearnthatthesolutionsofanequationoftheformx=bisthesetofpointsona
verticallinethatallhaveax-coordinateofb.
•
Studentswillbeabletodeterminetheslopeofalinegiventwopointsontheline.
•
Studentswillbeabletodeterminetheslopeofalinegiventheequationoftheline—inany
form—byfirstdeterminingtwosolutionstotheequation.
•
Studentswillbeabletodeterminetheslopeofalinebyconvertingtheequationtoslopeinterceptform.
•
Studentswillfindtheequationofalinegivenenoughinformationtodeterminetheslopeanda
pointontheline.
•
Studentswilllearntherelationshipbetweenparallel/perpendicularlinesandtheirslopes.
•
Studentswilllearntographequationsontheircalculators.
•
Studentswilllearntousetablestoevaluateequationsatdifferentvaluesontheircalculator.
•
Studentswilllearntousetraceandzoomontheircalculators.
•
Studentswillbeabletofindx-interceptsontheircalculators.
•
Studentswilllearntofindintersectionsoftwographsontheircalculators.
•
Studentswilllearnthatsolvingtheequationf(x)=g(x)isequivalenttofindingthex-interceptsof
theequationy=f(x)-g(x)ory=g(x)-f(x)
•
Studentswillsolveaone-variableequationbygraphinganappropriatetwo-variableequation
andinterpretingthegraph.
•
Studentswillsolveaone-variableinequalitybygraphinganappropriatetwo-variableequation
andinterpretingthegraph.
•
Studentswilllearntomodelreal-worldscenariosusingequationsandgraphsofequations.
•
Studentswillsolveproblemsbyinterpretinggraphs.
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Studentswillbeabletodetermineifagivenorderedpairisorisnotasolutiontoa2x2system
ofequations.
•
Studentswillbeabletousethemethodofsubstitutionandeliminationtosolvea2x2systemof
linearequations.
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Studentswillbeabletousethegraphsofequationstosolvea2x2systemoflinearequations.
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Studentswillbeabletographicallydescribetheequationsandthesolutionstoadependentor
inconsistent2x2systemoflinearequations.