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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.