Concept Development - Mr. Rogove's 2016-17 Math Site

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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