Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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CH.3, L7 – TRANSLATIONSObjective:Giventhecoordinatesofapre-imageandatranslationvector,Iwillgraphthetranslatedimageonthecoordinateplaneorwriteavectortodescribethetranslationbyidentifyingthechangesinthexandycoordinates.ThinkAboutIt:RectangleABCDwastranslatedalongvector𝑅𝑆toproducerectangleA’B’C’D’asshownbelow.

StepA:Howfardideachpointmove?StepB:𝑅𝑆canalsoberepresentedas<7,-3>.Describethemeaningof<7,-3>andhowitcouldbeusedtodeterminethecoordinatesoftheimage.

Keywords:translation,distance,vector

BigIdea:

Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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InteractionwithNewMaterial:

Ex.1)Giventhefigureonthecoordinategrid,translateitalongvector<4,-3>anddescribethesimilaritiesanddifferencesinthepre-imageandimage.

Similarities

Differences

Ex.2)TriangleXYZhaspointsatX(-2,0),Y(3,1),andZ(1,-6).TheimageoftriangleXYZafteratranslationhasthecoordinatesX’(-6,5),Y’(-1,6),andZ’(-3,-1).WhatvectorwasthetriangleXYZtranslatedalong?

Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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PartnerPractice:(LowDifficulty)1. TranslateQRSTalongthevector<-4,-3>andlabel

theimageaccordingly

2. DescribethevectorinwordsandusingvectornotationthatwouldtranslatetriangleRtocreateitsimage,triangleQ.

____________________________________________

PartnerPractice:(MediumDifficulty)

3. PointG(4,-3)wastranslatedsothatitsimagewasG’(6,-7).TranslatetriangleABCalongthesamevectorusedtotranslateGtoG’.

Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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4. TriangleABCwastranslatedoncetocreateitsimageA’B’C’.Then,triangleA’B’C’wastranslatedtocreateitsimageA’’B’’C’’.DescribethetwotranslationsusingvectornotationandthenwriteathirdvectorthatcouldbeusedtotranslateABCtoA’’B’’C’’.

5. Ascholarsaidthatthetranslationvectorfortheimagebelowis<-1,-2>.Whatishis/hererror?

6. TriangleABCishighonthecoordinateplaneandhasorderedpairsA(-2,65),B(3,75),C(5,88).Atranslationwas

usedtobringthefigureclosertotheoriginresultinginorderedpairsA’(-5,-10),B’(0,0),C’(2,13).Describethetranslationthatwasusedinwords,vectornotation,andasacoordinaterule.Checkyourworkandexplainwhichpointisthemostefficienttodeterminetherule.

Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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PartnerPractice:(HardDifficulty)

7. Youarestudyinganamoebathroughamicroscope.Supposetheamoebamovesonagrid-indexedmicroscopeslideinastraightlinefromsquareB3tosquareG7.

a. Describethetranslation

b. Thesidelengthofeachgridis2millimeters.Howfardoestheamoebatravel?

c. TheamoebamovesfromsquareB3toG7in24.5seconds.Whatisitsspeedinmillimeterspersecond?

Integrated Math I Name: ________________________________________ Period: ______ Date: ____________

CFS:1. Vectorsareannotated(ieΔx=__unitsorΔy=__units)2. Workshowntodeterminepointsorvectors3. Pre-imageandimagearelabeledwithprimenotation(ieA’B’C’)

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