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!