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SECONDARY MATH I // MODULE 3

FEATURES OF FUNCTIONS – 3.1

Mathematics Vision Project

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3.1 Getting Ready for a Pool Party A Develop Understanding Task

Sylviahasasmallpoolfullofwaterthatneedstobeemptiedandcleaned,thenrefilledforapoolparty.Duringtheprocessofgettingthepoolready,Sylviadidallofthefollowingactivities,eachduringadifferenttimeinterval.

Removedwaterwithasinglebucket

Filledthepoolwithahose(samerateasemptyingpool)

Drainedwaterwithahose(samerateasfillingpool)

Cleanedtheemptypool

Sylviaandhertwofriendsremovedwaterwithherthreebuckets

Tookabreak

1.Sketchapossiblegraphshowingtheheightofthewaterlevelinthepoolovertime.BesuretoincludeallofactivitiesSylviadidtopreparethepoolfortheparty.Rememberthatonlyoneactivityhappenedatatime.Thinkcarefullyabouthoweachsectionofyourgraphwilllook,labelingwhereeachactivityoccurs.2.CreateastoryconnectingSylvia’sprocessforemptying,cleaning,andthenfillingthepooltothegraphyouhavecreated.Doyourbesttouseappropriatemathvocabulary.3.Doesyourgraphrepresentafunction?Whyorwhynot?Wouldallgraphscreatedforthissituationrepresentafunction?

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