补角-优秀课件

空白演示在此输入您的封面副标题空白演示在此输入您的封面副标题11.学习补角的概念——相加等于180°的两个角互为补角

2.能利用补角的性质求未知角

3.学习余角的概念——相加等于90°的两个角互为余角1.学习补角的概念——相加等于180°的两个角互为补角

2.2ComplementaryAnglesandSupplementaryAnglesM.G.2.1Identifyanglesasadjacent,vertical,complementaryandsupplementary.

Objective--Studentswillidentifyanglesascomplementaryandsupplementaryandsolveproblemswithanunknownanglefromgiveninformationaboutthembyfindingamissingangleandscoringan80%proficiencyonanexitslip.ComplementaryAnglesM.G.2.1I3QuickCheck!Onyourwhiteboards,showmewhatapairofcomplementaryangleslooklikeandhowmanydegreestheymeasure.2)Now,showmeonyourwhiteboards,whatapairofSupplementaryangleslooklikeandhowmanydegreestheymeasure.QuickCheck!Onyourwhiteboard4Supplementary

anglesaddupto180º.60º120º40º140ºAdjacentandSupplementaryAnglesSupplementaryAngles

butnotAdjacentSupplementaryanglesaddupto5Complementary

anglesaddupto90º.60º30º40º50ºAdjacentandComplementaryAnglesComplementaryAngles

butnotAdjacentComplementaryanglesaddupto6RememberourObjective…Studentswillidentifyanglesascomplementaryandsupplementaryandsolveproblemswithanunknownanglefromgiveninformationaboutthembyfindingamissingangleandscoringan80%proficiencyonanexitslip.RememberourObjective…Student7SupplementaryAnglesRemember:Twoanglesaresupplementaryifthesumoftheirmeasuresis180degrees.Eachangleisthesupplementoftheother.12Thesearesupplementsofeachotherbecausetheiranglesaddupto180.SupplementaryAnglesRemember:83STEPSforFindingMissingAngles:First,createanadditionequationbyaddingbothangles.Thesumofthetwoangleswillequal

90°forComplementaryAnglesand180°forSupplementaryAngles.3)Solvetheequationusingtheinverserules!3STEPSforFindingMissingAn9Think…Pair…Share…Howareanglespartofouroutsideworld?Iftherewerenoangles,howdoyouthinkourworldwouldbedifferent?WhatothersubjectscanyoumakeconnectionswiththatalsouseAngles?Think…Pair…Share…Howareangl10Example1Findthevalueofxbymakinganequation.Example1Findtheva11Example2Findthevalueofxbywritingyourequation.Example2Findtheva12ComplementaryAnglesTwoanglesarecomplementaryifthesumoftheirmeasuresis90degrees.Eachangleisthecomplementoftheother.12Thesearecomplementsofeachotherbecausetheiranglesadduptobe90.ComplementaryAnglesTwoangles13Example3Findthevalueofx.Example3Findtheva141235Areangles4and5supplementaryangles?Areangles2and3complementaryangles?Areangles2and1complementaryangles?Areangles4and3supplementaryangles?nonoyesyesNow,thinkofwhatwetalkedabouttoday.41235Areangles4and5supplem15VerticalAnglesaretheanglesoppositeeachotherwhentwolinescrossFOLDABLEONANGLES:Measureslessthan90degreesMeasuresexactly90degreesMeasuresmorethan90degreesandlessthan180degrees.Measuresexactly180degreesTwoanglesthatshareasamesideandsamevertexTwoangleswhosesumisequalto90degreesTwoangleswhosesumisequalto180Degrees.ExamplesExamplesExamplesExamplesExamplesExamplesExamplesVerticalAnglesaretheangles16Example4Findthevalueofx.Example4Findtheva17Example5Findthevalueofx.Example5Findtheva181235Areangles1and2alinearpair?Areangles1and3adjacentangles?Areangles2and3adjacentangles?Areangles3and4alinearpair?nonoyesyesThinkbacktolastclass…41235Areangles1and2alinea19Let'spractice.ExitSlip!Remember…Studentswillidentifyanglesascomplementaryandsupplementaryandsolveproblemswithanunknownanglefromgiveninformationaboutthembyfindingamissingangleandscoringan80%proficiencyonanexitslip.Let'spractice.ExitSlip!Remem20Figure1findthemissinganglesyoumayuseaprotractortodrawit!XZQSTVYRSFigure1findthemissingangle21Figure2:findthemissinganglesyoumayuseaprotractortodrawit!ACFDBEG

xyzwFigure2:findthemissingan22Figure3NMX-25°LPQRP-45°Figure3NMX-25°LPQRP-45°23空白演示在此输入您的封面副标题空白演示在此输入您的封面副标题241.学习补角的概念——相加等于180°的两个角互为补角

2.能利用补角的性质求未知角

3.学习余角的概念——相加等于90°的两个角互为余角1.学习补角的概念——相加等于180°的两个角互为补角

2.25ComplementaryAnglesandSupplementaryAnglesM.G.2.1Identifyanglesasadjacent,vertical,complementaryandsupplementary.

Objective--Studentswillidentifyanglesascomplementaryandsupplementaryandsolveproblemswithanunknownanglefromgiveninformationaboutthembyfindingamissingangleandscoringan80%proficiencyonanexitslip.ComplementaryAnglesM.G.2.1I26QuickCheck!Onyourwhiteboards,showmewhatapairofcomplementaryangleslooklikeandhowmanydegreestheymeasure.2)Now,showmeonyourwhiteboards,whatapairofSupplementaryangleslooklikeandhowmanydegreestheymeasure.QuickCheck!Onyourwhiteboard27Supplementary

anglesaddupto180º.60º120º40º140ºAdjacentandSupplementaryAnglesSupplementaryAngles

butnotAdjacentSupplementaryanglesaddupto28Complementary

anglesaddupto90º.60º30º40º50ºAdjacentandComplementaryAnglesComplementaryAngles

butnotAdjacentComplementaryanglesaddupto29RememberourObjective…Studentswillidentifyanglesascomplementaryandsupplementaryandsolveproblemswithanunknownanglefromgiveninformationaboutthembyfindingamissingangleandscoringan80%proficiencyonanexitslip.RememberourObjective…Student30SupplementaryAnglesRemember:Twoanglesaresupplementaryifthesumoftheirmeasuresis180degrees.Eachangleisthesupplementoftheother.12Thesearesupplementsofeachotherbecausetheiranglesaddupto180.SupplementaryAnglesRemember:313STEPSforFindingMissingAngles:First,createanadditionequationbyaddingbothangles.Thesumofthetwoangleswillequal

90°forComplementaryAnglesand180°forSupplementaryAngles.3)Solvetheequationusingtheinverserules!3STEPSforFindingMissingAn32Think…Pair…Share…Howareanglespartofouroutsideworld?Iftherewerenoangles,howdoyouthinkourworldwouldbedifferent?WhatothersubjectscanyoumakeconnectionswiththatalsouseAngles?Think…Pair…Share…Howareangl33Example1Findthevalueofxbymakinganequation.Example1Findtheva34Example2Findthevalueofxbywritingyourequation.Example2Findtheva35ComplementaryAnglesTwoanglesarecomplementaryifthesumoftheirmeasuresis90degrees.Eachangleisthecomplementoftheother.12Thesearecomplementsofeachotherbecausetheiranglesadduptobe90.ComplementaryAnglesTwoangles36Example3Findthevalueofx.Example3Findtheva371235Areangles4and5supplementaryangles?Areangles2and3complementaryangles?Areangles2and1complementaryangles?Areangles4and3supplementaryangles?nonoyesyesNow,thinkofwhatwetalkedabouttoday.41235Areangles4and5supplem38VerticalAnglesaretheanglesoppositeeachotherwhentwolinescrossFOLDABLEONANGLES:Measureslessthan90degreesMeasuresexactly90degreesMeasuresmorethan90degreesandlessthan180degrees.Measuresexactly180degreesTwoanglesthatshareasamesideandsamevertexTwoangleswhosesumisequalto90degreesTwoangleswhosesumisequalto180Degrees.ExamplesExamplesExamplesExamplesExamplesExamplesExamplesVerticalAnglesaretheangles39Example4Findthevalueofx.Example4Findtheva40Example5