NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem1
Learning Objective:WewillprovethePythagoreantheoremusingsimilartriangles.(G8M7L9)Concept Development: WecanusesimilartrianglestoprovideanotherproofofthePythagoreanTheorem:
Namethesethreetriangles Arethesethreetrianglessimilar?ProvingthePythagoreanTheorem:
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem2
AnotherProofusingSimilarTrianglesandAreas
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem3
Guided Practice: StepsforProvingthePythagoreanTheoremUsingSimilarTriangles1.Drawalinefromtherightangleperpendiculartothehypotenuse.Thiswillcreatethreesimilartriangles.2.Label,reorient,anddrawthethreesimilartriangles.3.Setupaseriesofproportionstoshowthat!! + !! = !!usingthestepsdemonstratedonthefirstpageofthenotes.
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NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem4
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NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem5
Independent Practice: Noindependentpractice…Activating Prior Knowledge: WeknowthePythagoreanTheoremis!! + !! = !!ANDweknowonewaytoproveit. Closure: Whyarethethreetrianglescreatedduringtheproofsimilar?Notes: MapstoGrade8,Lesson15,Module7.HWcouldbelesson15problemsetminusprobs1-2.
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