concept development - mr. rogove's 2016-17 math site
TRANSCRIPT
![Page 1: Concept Development - Mr. Rogove's 2016-17 Math Site](https://reader033.vdocuments.us/reader033/viewer/2022050612/6274453c7b85253fd74355e5/html5/thumbnails/1.jpg)
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem1
Learning Objective:WewillprovethePythagoreantheoremusingsimilartriangles.(G8M7L9)Concept Development: WecanusesimilartrianglestoprovideanotherproofofthePythagoreanTheorem:
Namethesethreetriangles Arethesethreetrianglessimilar?ProvingthePythagoreanTheorem:
![Page 2: Concept Development - Mr. Rogove's 2016-17 Math Site](https://reader033.vdocuments.us/reader033/viewer/2022050612/6274453c7b85253fd74355e5/html5/thumbnails/2.jpg)
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem2
AnotherProofusingSimilarTrianglesandAreas
![Page 3: Concept Development - Mr. Rogove's 2016-17 Math Site](https://reader033.vdocuments.us/reader033/viewer/2022050612/6274453c7b85253fd74355e5/html5/thumbnails/3.jpg)
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem3
Guided Practice: StepsforProvingthePythagoreanTheoremUsingSimilarTriangles1.Drawalinefromtherightangleperpendiculartothehypotenuse.Thiswillcreatethreesimilartriangles.2.Label,reorient,anddrawthethreesimilartriangles.3.Setupaseriesofproportionstoshowthat!! + !! = !!usingthestepsdemonstratedonthefirstpageofthenotes.
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![Page 4: Concept Development - Mr. Rogove's 2016-17 Math Site](https://reader033.vdocuments.us/reader033/viewer/2022050612/6274453c7b85253fd74355e5/html5/thumbnails/4.jpg)
NAME:___________________________ Math______,Period____________
Mr.Rogove Date:__________
G8M7L9:MoreproofsofthePythagoreanTheorem4
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![Page 5: Concept Development - Mr. Rogove's 2016-17 Math Site](https://reader033.vdocuments.us/reader033/viewer/2022050612/6274453c7b85253fd74355e5/html5/thumbnails/5.jpg)
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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