MTC_Resourcespdf
MTC_Resourcespdf
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Michelle Manes shared this file. Want to do more with it?
  1. Modeling)with)Mathematics:)MTC$Sessions$to$Encourage$and$Illuminate$CCSS$MP4Michelle'ManesDepartment'of'MathematicsUniversity'of'Hawai‘i'at'Mānoammanes@math.hawaii.eduhttp://math.hawaii.edu/~mmanes/On!the!following!pages,!you!can!find!session!descriptions!and!resources!for!the!sessions!from!my!talk.!!Feel!free!to!write!and!ask!for!more!details!The!SUPERBM!project!site!(lots!of!math!activities!of!various!levels!available!here):http://superm.math.hawaii.edu/The!Math!Teachers'!Circle!of!Hawaii!site:http://math.crdg.hawaii.edu/match/The!Common!Core!State!Standards!Math!Practices:http://www.corestandards.org/Math/Practice/
  2. MTC)on)BioacousticsIdeally,!have!a!visitor!from!marine!biology!or!other!department!visit!to!give!thebackground!on!marine!mammals.!!Alternately,!here!are!a!couple!of!blog!posts!that!provide!the!background:Alexis!Rudd's!blog!post!that!led!me!to!invite!her:http://bioacoustics.blogspot.com/2012/05/weBshouldBhaveBstudiedBdolphinsBinBhigh.htmlAlexis's!reflections!on!her!visit!to!our!session:http://bioacoustics.blogspot.com/2012/06/highBschoolBmathBteachersBlearnBabout.htmlA!friend!of!Alexis!blogs!about!a!2Bmic!hydrophone!array!(using!trig!to!find!the!whale!and!turning!the!boat!to!decide!on!one!of!two!possible!locations):http://www.michw.com/2014/10/hydrophoneBarraysBftw/Flow!of!the!session:1)Group!work!on!discovering!the!distance!formula.!!I!used!a!problem!set!from!an!old,!out!of!print!curriculum!(scans!attached!on!the!next!several!pages).!!We!asked!teachers!to!work!through!the!problems!about!distance!between!points!in!groups,!and!then!a!few!groups!shared!out.!!We!got!the!distance!formula!and!put!it!on!the!board.2)Alexis!presented!basics!about!marine!mammals,!including!the!biology!behind!the!sounds!they!make.!!She!answered!lots!of!questions.!!(This!is!why!it's!good!to!invite!an!expert!)!!She!also!brought!in!a!hydrophone!array!that!the!teachers!could!see!&!touch.3)Alexis!explained!the!basic!setup!of!the!problem:!15m!between!each!hydrophone!(not!true,!but!works!nicely!with!the!speed!of!sound).!!Sound!travels!through!salt!water!at!a!speed!of!1500!m/sec!(really!depends!on!temperature!and!salinity,!but!this!is!a!good!estimate).!!If!Δt1!=!0.0052!sec!and!Δt2!=!0.0078!sec,!where!is!the!whale!in!relation!to!the!boat?4)Teachers!worked!in!groups!for!about!15!minutes;!then!we!did!some!sharing!out!from!one!of!the!groups!that!had!some!ideas!but!hadn't!solved!it!completely.!!Another!15!minutes!of!work!and!more!sharing!out.!!Repeat!once!more!before!getting!to!the!answer.5)Debrief.!!(Teacher!comments,!"That!was!hard!")
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