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Lesson1.notebook September10,2015
Lesson1:GraphofPiecewiseLinearfunctions(N.Q.1,N.Q.2,N.Q.3)
Wewillwatchavideoandourgoalwillbetodescribethemotionoftheman.Focusonthechangeofelevationofthemanovertime.
Let'sstopat1:08anddiscussitbyansweringthefollowing:
1)Howhighdoyouthinkhewasatthetopofthestairs?2)Howdidyouestimatethatelevation?3)Werethereintervalsoftimewhenhiselevationwasn'tchanging?Washestillmoving?4)Didhiselevationeverincrease?When?
Let'slookattheansweraccordingtothevideo!
Anycomments?????Let'swatchanothervideo.
Nowinyournotebookcreateagraph.
Nowcomparewithyourgroup.
Lesson1.notebook September10,2015
Hereisanelevationversustimegraphofapersonsmotion.Describewhatthepersonmighthavebeendoing.
Whatdoesitmeanforonepartofthegraphtobesteeperthananother?
Howdoestheslopeofeachlinesegmentrelatetothecontextofthepersonselevation?
Whatwouldbetheaveragerateofchangebetweenzeroand4minutes?
Lesson1.notebook September10,2015
Twothoughts:1)Thesetypesofgraphshaveaspecialname.Anyideas??2)Whattypesofequationscouldwefindforthistypeofgraph?
PIECEWISELINEARFUNCTION:Givennonoverlappingintervalsontherealnumberline,a(real)piecewiselinearfunctionisafunctionfromtheunionoftheintervalsontherealnumberlinethatisdefinedby(possiblydifferent)linearfunctionsoneachinterval.
Closure:Whyaretheseconsideredpiecewiselinear?
Attachments
Graphingpart1
Practicefix?
graphingstories3.mov
http://www.mrmeyer.com/graphingstories1/graphingstories2.movhttp://www.mrmeyer.com/graphingstories1/graphingstories3.mov
SMART Notebook
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