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PartI:Intro/BackgroundInformationChecklist Intro: Giveahintatyourmainproblemandexplainwhatthegoalofthispaperis.Makesurethatyou transitionintoyourbackgroundinfosomehow… BackgroundInfo: ThingsyouMUSTdefine: • Regularpolygon(considergivinganexampleandnonexample) • Centralangle(includeadiagram) • Apothem,Radii&sidelength(diagram) • Perimeter&Area • Interiorangles(onlyincludeifyouareusingtheseanglesinyoursolving) ThingsyouSHOULDexplain: (Theamountyouchoosetoincludecouldbethedifferencebetweena2anda4) • Whattheareaformulaisforaregularpolygon • Whatthekeymeasurementsarethatyouneedinordertofindtheareaofaregularpolygon (Think“A=½ap”) • Howtofindtheperimeterofaregularpolygon • Oftenyouarenotgiventhesidelengthorapothem.Explainwhattodo. o Howyoucanfindthemeasureofacentralangleandthereasoningbehindthatformula o WHYyouneedthecentralanglemeasure o Howyoucanuserighttriangletrigonometrytohelpyoufindmissingmeasures(give examples) § Howyoucanfindtheapothemmeasureifyouonlyknowtheradiiorsidelength § Howyoucanfindtheradiiifyouonlyknowtheapothemorsidelength § Howyoucanfindthesidelengthifyouonlyknowtheradiiorapothem • Howyoucanusetrianglestofindtheareaofthewholepolygon • Howthetrianglemethodleadstothegeneralformula(A=½ap) • Whytheformula(A=½ap)isonlyvalidforregularpolygons Level4onCommunication Note:Highlightedinredisakeyopportunitytomakeconnectionsbetweenarea ofregularpolygonsandtrigonometricratios.Tohelpmakethatcleartoyour reader,youmaywanttoemphasizethatyouaremakingaconnectionbyusing theword“connect” Demonstratesanin-depth understandingofthe relationshipsbetween mathematicalconcepts, proceduresand/orstrategies.
