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Name:AmmieHamiltonDate:Jan9-21Subject:Algebra3 Day1TuesJan10 Day2ThursJan12 Day3:TuesJan17 Day4ThurJan19 --Drawanangleinstandard position. --Determinethemeasuresof anglesco-terminalwithanangle giveninstandardposition. --Definethesixtrigonometric functionsofanangleinstandard positionintermsofx,y,andr. --Findthevaluesofthesix trigonometricfunctionsofanangle instandardposition. Definethesixtrigonometricfunction valuesforanyacuteangleins standardpositionintermsofside opposite,sideadjacentand hypotenuseofarighttriangle. --Writetrigonometricfunctionsin termsofco-functions --Solveequationsinvolvingthecofunctionidentities. --Giveexactvaluesofthe trigonometricfunctionvaluesofthe specialangles30,45,and60 degrees. --Determinethereference angleforanygivenangle. --Findexacttrigonometric functionvaluesofanangle whosereferenceangleis 30,45and60degrees. Day5MondayJan21 LT’sfor2.1-2.2 LearningTarget --Drawanangleinstandard position. --Determinethemeasuresof anglesco-terminalwithan anglegiveninstandard position. --Definethesixtrigonometric functionsofananglein standardpositionintermsof x,y,andr. --Findthevaluesofthesix trigonometricfunctionsofan angleinstandardposition. Common Core Standards A.10–Provepolynomialidentitiesandusethemtodescribenumericalrelationships.Forexample,thepolynomialidentity 2 2 2 2 2 2 2 (x +y ) =(x –y ) +(2xy) canbeusedtogeneratePythagoreantriples. F.30–Usespecialtrianglestodeterminegeometricallythevaluesofsine,cosine,tangentforπ/3,π/4,andπ/6,andusetheunitcircletoexpressthevaluesofsine,cosine,andtangentforπ- x,π+x,and 2π-xintermsoftheirvaluesforx,wherexisanyrealnumber. F.31–Usetheunitcircletoexplainsymmetry(oddandeven)andperiodicityoftrigonometricfunctions 2 2 F-TF.8–ProvethePythagoreanidentitysin x+cos x=1anduseittofindsinx,cosx,andtanxgivensinx,cosxortanxandthequadrantoftheangle. BellRinger Learning Plan Exit Slip/Closing Assessment ACTProblemsonCanvas ACTProblemsonCanvas ACTProblemsonCanvas ACTProblemsonCanvas ACTProblemsonCanvas 2.1TrigonometricFunctionsof AcuteAngles --Definethesixtrigonometric functionvaluesforanyacuteangle instandardpositionintermsofside opposite,sideadjacentand hypotenuseofarighttriangle. --Writetrigonometricfunctionsin termsofco-functions --Solveequationsinvolvingthecofunctionidentities. --Giveexactvaluesofthe trigonometricfunctionvaluesofthe specialangles30,45,and60 degrees. DRILLandPRACTICE–30,45,60 Degrees!!!!!! 1.Whatarecofunctions?Howare theyuseful? 2.Review30,45,60degrees. QUIZ 2.2TrigonometricFunctions ofNon-AcuteAngles --Determinethereference angleforanygivenangle. --Findexacttrigonometric functionvaluesofanangle whosereferenceangleis30, 45and60degrees. Mini-QUIZ 1.4UsingtheDefinitionsofthe TrigonometricFunctions --Usethereciprocalidentitiestofind thevalueoftrigonometricfunctions. --Identifythequadrantorquadrants fortheanglesatisfyinggiven conditions. --Determinethesignofeachofthesix trigonometricfunctionsforagiven angle. --Findtrigonometricfunctionvalues givenonefunctionvalueandthe quadrantoftheangle. --StateandusetheReciprocal Identities,PythagoreanIdentities,and theQuotientIdentities ReviewandPracticeIdentities,signsin eachquadrant. Formativeduringclass Observation Discussion ExitTicket Formativeduringreview Observation Discussion ExitTicket Observation Discussion ExitTicket Formativeduringclass Observation Discussion ExitTicket TRIGSECTION–USE SAMETEXTASTRIG CLASS 1.1Angles --Drawanangleinstandard position. --Determinethemeasuresof anglesco-terminalwithanangle giveninstandardposition. 1.3TrigonometricFunctions --Definethesixtrigonometric functionsofanangleinstandard positionintermsofx,y,andr. --Findthevaluesofthesix trigonometricfunctionsofanangle instandardposition. Whatistherelationshipbetween degrees,minutes,seconds? PracticeDay Whatarereferenceangles? 3-2-1 Reviewanyreferenceangle of30,45,60. Formativeduringclass Observation Discussion ExitTicket Name:AmmieHamiltonDate:Jan9-21Subject:Algebra3