Integrated Math I Name: Period: Date: CH.3, L7 TRANSLATIONS...CH.3, L7 – TRANSLATIONS Objective:...
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Integrated Math I Name: ________________________________________ Period: ______ Date: ____________ CFS: 1. Vectors are annotated (ie Δx =__ units or Δy =__ units) 2. Work shown to determine points or vectors 3. Pre-image and image are labeled with prime notation (ie A’B’C’) 1 CH.3, L7 – TRANSLATIONS Objective: Given the coordinates of a pre-image and a translation vector, I will graph the translated image on the coordinate plane or write a vector to describe the translation by identifying the changes in the x and y coordinates. Think About It: Rectangle ABCD was translated along vector to produce rectangle A’B’C’D’ as shown below. Step A: How far did each point move? Step B: can also be represented as <7, -3>. Describe the meaning of <7, -3> and how it could be used to determine the coordinates of the image. Key words: translation, distance, vector Big Idea:
Transcript of Integrated Math I Name: Period: Date: CH.3, L7 TRANSLATIONS...CH.3, L7 – TRANSLATIONS Objective:...
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.
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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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