Lesson 1.notebook September 10, · PDF fileLesson 1.notebook September 10, 2015 Lesson 1:...

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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