Welcome Accelerated Algebra 2!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/...Welcome...

WelcomeAcceleratedAlgebra2!U6H4: WorksheetUpdates:U6TwillbeMarch8th ProjectDue:March8th(acceptedearlier)

(1) Warm-Up!(2) ReviewU6H3(3) ApplicationProblems(4) RationalInequalities(5) Closure(6) ReviewCalc.PortionofU5T

Agenda

Solvetheequationandremembertocheckforextraneoussolutions.

Warm-Up!

Pg.466#17-20Pg.471#1-5

ReviewU6H3

ContinuingourNotes!

LO#5:Solverationalequationsandinequalities.LO#6:Solvewordproblemsinvolvingrationalequations.

Notebook!

Pg.465Independentlyreadandhighlightthenextparagraph.(1min)Asaclasswewillcomplete#8-13.

30-1RationalEquations

Pg.465Do#11withyourhorizontalpartner,thencomplete#12.(2mins)

30-1RationalEquations

Pg.466Answer#13independently.(30secs)Comparewithyourdiagonalpartner.(30secs)

30-1RationalEquations

Pg.466Createtheequationfor#14withyourtablemates,thensolve.(2mins)

30-1RationalEquations

Whiteboards!

30-1RationalEquations

Onyourworksheetwewillbedoing#1asaclass.Ø Readandhighlighttheimportantinformationin#1.Example#1:Akayakerspendsanafternoonpaddlingonariver.Shetravels3milesupstreamand3milesdownstream.Instillwater,thekayakercantravelatanaveragespeedof2milesperhour.

30-1RationalEquations

(a)Whenyoupaddlewiththecurrent(downstream),thecanoe’sspeedisthesumofyourpaddlingspeedandthecurrent’sspeed.Whenyoupaddleagainstthecurrent(upstream),thecanoe’sspeedisthedifferenceofyourspeedandthecurrent’sspeed.Writetheexpressionsforthecanoe’sdownstreamandupstreamspeed.Letcbethespeedofthecurrent.Downstream: Upstream:Ø Whatisthepaddlingspeed?

30-1RationalEquations

(b)Dividethedistancetraveledineachdirectionbythecanoe’sspeedinthatdirectionto]indthetimeforthatpartofthetrip.Downstreamtime: Upstreamtime:Ø OnthesidewearegoingtomakeaNOTEastowhymiles/milesperhourgivesusjusttime.

30-1RationalEquations

(c)Writeanequationthatwouldrepresentthetotaltimeittakesforyourcanoetrip.Ø Thinkbacktothewhiteboardwordproblem,thepiecesalonesumuptothetotal.

(d)Supposethewholejourneytook4hours.Determinethespeedofthecurrent.Isyouranswerreasonable?

30-1RationalEquations

Example#2:StephanietookherkayaktotheKaweahRiver,which]lowsdownstreamatarateof2kilometersperhour.Shepaddled15kmupstream,andthenpaddleddownstreamtoherstartingpoint.Ifthisround-triptookatotalof4hours,]indthespeedthatStephaniecanpaddleinstillwater.Ø Highlighttheimportantinformation.(1min)Ø Withyourgroupmembers,setuptheequation.(1min)Ø Solvefortheindicatedpiece.(2mins)

30-1RationalEquations

IwillswitchrandompeopleinyourgroupandasatableyouwillcompleteExample#3.Worktogether!

30-1RationalEquations

Example#3:Chasecanoesonariver3milesupstreamand3milesdownstreaminatotalof5hours.Theriver’scurrentismovingat1mileperhour.(a)Downstreamspeed: UpstreamSpeed:(b)Downstreamtime: Upstreamtime:(c)SolveforChase’sspeedinstillwater.

30-1RationalEquations

IwillswitchrandompeopleinyourgroupandasatableyouwillcompleteExample#4.Worktogether!

30-1RationalEquations

Example#4:Ariverbargetravelsatanaveragerateof8milesperhourinstillwater.Thebargetravels60milesuptheMississippiRiverand60milesdowntheriverinatotalof16.5hours.(a)Downstreamspeed: UpstreamSpeed:(b)Downstreamtime: Upstreamtime:(c)Setupandsolvetheequationthatisrepresentedbythissituation.

30-1RationalEquations

DoExample#5independently.(2mins)Example#5:Onaclearsunnydaywithnowindyoucanrunataspeedof5milesperhour.Supposeyouarerunningonawindydaywithwindspeedw.Youaredoingyourdailyrunwhereyoutravel2milestoaparkandthen2milesback.Thetotaltriptakes1.5hours.(a)Whataretheexpressionsthatrepresentyourspeedgoingtotheparkandgoingbackhome?(b)Whataretheexpressionsthatrepresentthetimeittakestogototheparkandthentogobackhome?(c)Whatistheequationthatwouldrepresentthetotaltimeittakesfortherunnertogototheparkandbackhome?

30-1RationalEquations

Practice:Solvealgebraically.(a)Steps:(1) Identifytherestrictions.(2) Solveasifanequationfortheindicatedvariable.(3) Usethesolutionsinsteps1and2inanumberlinetest.

30-2RationalInequalities

Practice:Solvealgebraically.(b) (c)Steps:(1) Identifytherestrictions(2) Solveasifanequationfortheindicatedvariable.(3) Usethesolutionsinsteps1and2inanumberlinetest.

30-2RationalInequalities

Asatablechooseoneoftodaysobjectives(#5or#6).Asatablechooseonetipthatwouldbehelpfulforanabsentstudentwhilelearningtheobjectiveyouchose.

Closure

Puteverythingaway.

CalcPortionU5T

ExitTicket