1.4 Rabbit Run A Solidify Understanding Task
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1 1.4 Rabbit Run A Solidify Understanding Task Misha has a new rabbit that she named Wascal. She wants to build Wascal a pen so that the rabbit has space to move around safely. Misha has purchased a 72 foot roll of fencing to build a rectangular pen. 1. If Misha uses the whole roll of fencing, what are some of the possible dimensions of the pen? If Misha wants a pen with the largest possible area, what dimensions should she use for the sides? Justify your answer. 3. Write a model for the area of the rectangular pen in terms of the length of one side. Include both an equation and a graph Mathematics Vision Project MVP In partnership with the Utah State Office of Education Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported license
2 18 4. What kind of function is this? Why? 5. How does this function compare to the second type of block I logos in I Rule? 2013 Mathematics Vision Project MVP In partnership with the Utah State Office of Education Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported license
3 Name: Ready,'Set,'Go 19 Ready' Topic:applyingtheslopeformula 2013www.flickr.com/photos/bishi/ Calculate'the'slope'of'the'line'between'the'given'points.'Use'your'answer'to'indicate'which' line'is'the'steepest.' 1.A(43,7)B(45,17) 2.H(12,437)K(4,43) 3.P(411,424)Q(21,40) 4.R(55,475)W(415,440) Set' Topic:Investigatingperimetersandareas Adamandhisbrotherareresponsibleforfeedingtheirhorses.Inthespringandsummerthehorses grazeinanunfencedpasture.thebrothershaveerectedaportablefencetocorralthehorsesina grazingarea.eachdaythehorseseatallofthegrassinsidethefence.thentheboysmoveittoanew areawherethegrassislongandgreen.theporta=fenceconsistsof16separatepiecesoffencingeach 10feetlong.Thebrothershavealwaysarrangedthefenceinalongrectanglewithonelengthoffence oneachendand7piecesoneachsidemakingthegrazingarea700sq.ft.adamhaslearnedinhis mathclassthatarectanglecanhavethesameperimeterbutdifferentareas.heisbeginningto wonderifhecanmakehisdailyjobeasierbyrearrangingthefencesothatthehorseshaveabigger grazingarea.hebeginsbymakingatableofvalues.helistsallofthepossibleareasofarectangle withaperimeterof160ft.,whilekeepinginmindthatheisrestrictedbythelengthsofhisfencing units.herealizesthatarectanglethatisorientedhorizontallyinthepasturewillcoveradifferent sectionofgrassthanonethatisorientedvertically.soheisconsideringthetworectanglesas differentinhistable.usethisinformationtoanswerquestions5 9onthenextpage. Horizontal Vertical InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
4 5.FillinAdam stablewithallofthearrangementsforthefence.(thefirstoneisdoneforyou.) Lengthin Widthin Area Lengthinft. Widthinft. Perimeter(ft) fencing units fencing units (ft) unit 7units 10ft 70ft 160ft 700ft 2 a. 2units 160ft b. 3units 160ft c. 4units 160ft d. 5units 160ft e. 6units 160ft f. 7units 160ft 6.DiscussAdam sfindings.explainhowyouwouldrearrangethesectionsoftheporta4fenceso thatadamwillbeabletodolesswork. 7.MakeagraphofAdam s investigation.letlengthbethe independentvariableand areabethedependentvariable. Labelthescale. 8.Whatistheshapeofyourgraph? 9.Explainwhatmakesthisfunction beaquadratic. ' InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
5 Go' Topic:Comparinglinearandexponentialratesofchange. Indicate'which'function'is'changing'faster.' 10. f(x) g(x) h(x) m(x) w(x) d(x) p(x) f(x) q(x) g(x) s(x) r(x) 16a.Examinethegraphattheleftfrom0to1. Whichgraphdoyouthinkisgrowingfaster?'' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' b.nowlookatthegraphfrom2to3. Whichgraphisgrowingfasterinthisinterval? ' ' ' s(x) r(x) 21 InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
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