welcome accelerated algebra 2!thecarucciclass.weebly.com/uploads/3/1/1/0/... · review of...
TRANSCRIPT
WelcomeAcceleratedAlgebra2!Tear-Out: Pg.487-492 (Classnotes)
Updates:U8Q1willbe4/24 UnitCircleQuizwillbe4/24 U8Twillbe5/1
(1) Warm-Up(2) ReviewU8H1(3) FinishTrigReview(4) StandardAnglePositions(32-1)(5) Closure
Agenda
Findthevalueofxandroundtothenearesttenth.
Warm-Up
U8H1:Worksheet 13.1#2-8
ReviewU8H1
ReviewofTrigonometryFromGeometryyoustudiedspecialrighttriangles;30-60-90and45-45-90.Whenworkingwithtrigonometricfunctionsyouwillcommonlyrefertothespecialrighttrianglessuchthatyoudonothavetouseacalculator.Iwillshowyouthederivationofeachontheboard.Copyintoyournotebook!
ReviewofTrigonometryq Derive45-45-90TriangleRelationship.
o Think…Whatshapecanyousplitintotwo45-45-90triangles?
o Lets^indsine,cosine,andtangentoftheacuteangle.
q Derive30-60-90TriangleRelationship.o Think…Whatshapecanyousplitintotwo30-60-90triangles?
o Lets^indsine,cosine,andtangentoftheacuteangles.
ReviewofTrigonometry
ReviewofTrigonometryWehavemoreTrigonometricFunctionsJ
ReviewofTrigonometry
ReviewofTrigonometry
StandardAnglePositionsIwillleaveonepageblankforsupplementalnotes.
Today’sLesson#:32-1Topic:StandardAnglePositionsLO#2:Drawanglesinstandardpositionanddeterminecoterminalandreferenceangles.
StandardAnglePositionsPg.487Wewillreadthe^irstparagraphtogether.
StandardAnglePositionsStandardPositiono Thevertexofanangleisattheoriginandonerayisonthepositivex-axis.Ø Initialsideoftheangleistherayonthepositivex-axis.
Ø Terminalsideistheotherrayoftheangle.
Clockwise!Counter-Clockwise!
StandardAnglePositionsPg.487IntheMYNOTEScolumndrawanangleinstandardpositionwithameasureof298°.IntheMYNOTEScolumndrawanangleinstandardpositionwithameasureof-298°.
StandardAnglePositionsPg.488DoTRYTHESEA(a-b).(1.5mins)Ø Whatangle,between0°and-360°hasthesameterminalsideas(b)?Discusswithyourverticalpartner.
Ø Whatangle,between0°and360°hasthesameterminalsideas(b)?Discusswithyourhorizontalpartner.
StandardAnglePositionsPg.488Ø Whatangle,between0°and-360°hasthesameterminalsideas405°?Discusswithyourverticalpartner.
Ø Whatangle,between0°and360°hasthesameterminalsideas405°?Discusswithyourhorizontalpartner.
StandardAnglePositionsPg.488Answer#1independentlyinonecompletesentence.(30secs)
StandardAnglePositionsPg.489DoTRYTHESED(a-c)independently.(1.5mins)Comparewithyourdiagonalpartner.
StandardAnglePositionsPg.489Independentlyanswer#4and#6.(2mins)
StandardAnglePositionsCoterminalAngleso Anglesinstandardpositionwiththesameterminalside.o To^indcoterminalanglesaddorsubtractmultiplesof360°.
o Note–thereareanin^initenumberofcoterminalangles.
StandardAnglePositionsPg.490Weeventuallywillneedtoconnecttheseanglesinstandardpositiontorighttrianglessuchthatwecanusetrigonometry.Wewillneedtounderstandreferenceangles.
StandardAnglePositionsPg.490IntheMYNOTESCOLUMNdrawanangleinstandardpositionwiththemeasureof250°.Asaclasswewill^indthereferenceangle.IntheMYNOTESCOLUMNdrawanangleinstandardpositionwiththemeasureof357°.IntheMYNOTESCOLUMNdrawanangleinstandardpositionwiththemeasureof162°.IntheMYNOTESCOLUMNdrawanangleinstandardpositionwiththemeasureof25°.
StandardAnglePositionsPg.491DoTRYTHESEE(a,c,f).(2mins)
StandardAnglePositionsReferenceAngleo Thepositiveacuteangleformedbytheterminalsideofθandthex-axis.
StandardAnglePositionsPg.492 Referenceanglesallowusto^indthesixtrigonometricfunctionsforagivenθ.IntheMYNOTESCOLUMN^indthereferenceangleforanangleinstandardpositionwithameasureof1845°.Findthesixtrigonometricfunctionusingthereferenceangle.Youcancheckyourratiosusingyourcalculator.
StandardAnglePositionsPg.492 IntheMYNOTESCOLUMN^indthereferenceangleforanangleinstandardpositionwithameasureof-480°.Findthesixtrigonometricfunctionusingthereferenceangle(becarefulwithyoursigns).
ClosureYou will get a Closure template and this template will help me see daily if you are understanding the lessons. Put your name on the template. Choose one of the boxes to complete. I will give you about 5-8 minutes in class to Ainish and then you will turn it in to your periods tray. I will stamp to signal that your closure is complete but I may or may not be able to read each one. At the end of the unit I will grade 2-3 of your closures. I will grade random ones!