Activating Prior Knowledge - Mr. Rogove's Site 2015...
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NAME:___________________________ Math _________ , Period ____________ Mr. Rogove Date:__________ G8M4L16: Slope Intercept Form: Similar Triangles and Converting from Standard Form 1 Learning Objective: We will use similar triangles to create the slope- intercept form of a line and transform the standard form of linear equations to the slope intercept form of linear equations. (G8M4L16) Activating Prior Knowledge: We can draw graphs of linear equations. Find 3 solutions to the equation ! = 2! and graph the solutions. Draw a line and find the slope of the line. Point 1: Point 2: Point 3: Slope: Find 3 solutions to the equation ! = 3! + 1 and graph the solutions. Draw a line and find the slope of the line. Point 1: Point 2: Point 3: Slope:
Transcript of Activating Prior Knowledge - Mr. Rogove's Site 2015...
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm1
Learning Objective:Wewillusesimilartrianglestocreatetheslope-interceptformofalineandtransformthestandardformoflinearequationstotheslopeinterceptformoflinearequations.(G8M4L16) Activating Prior Knowledge: Wecandrawgraphsoflinearequations.Find3solutionstotheequation! = 2!andgraphthesolutions.Drawalineandfindtheslopeoftheline.Point1:Point2:Point3:
Slope:
Find3solutionstotheequation! = 3! + 1andgraphthesolutions.Drawalineandfindtheslopeoftheline.Point1:Point2:Point3:
Slope:
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm2
Concept Development: Provethatthegraphoftheline! = !"hastheslopem
Provethatthegraphoftheline! = !" + !hastheslopem.
SLOPE-INTERCEPT FORM OF A LINE ! = !" + !
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm3
Guided Practice: StepsforIdentifyingSlopeusingSlopeInterceptForm(! =!"+ !)1.Readthesituationcarefullyandwriteyourequationinslopeinterceptform.2.Ifnecessary,manipulateequationwritteninstandardformtosolveforyandputintoslopeinterceptformat.3.Theslopewillbethecoefficientofthex-variable(orm)Jessicaistrainingforamarathon.Sheruns4milesin28minutes.Assumesherunsataconstantrate.Writeanequationtorepresentthetotaldistance(y)shecanruninxminutes.
Fourboxesofpencilscost$5.00.Writeanequationthatrepresentsthetotalcostofpencils(y)forxnumberofboxesofpencils.
Aidanhas$35inhissavingsaccount.Eachweekheplansondepositing$20.Writeanequationthatrepresentstheamountofmoney(y)hewillhavesavedafterxweeks.
Itcosts$100tosignupforcellphoneservice,andthenthemonthlychargefortalkanddataeachmonthis$75.Writeanequationthatrepresentsthetotalcostofcellphoneservice(y)forxmonths.
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm4
Solvethefollowingequationforyandidentifytheslope:
9! − 3! = 15
Solvethefollowingequationforyandidentifytheslope:
6! − 8! = 48
Solvethefollowingequationforyandidentifytheslope:
2! + 3! = −6
Solvethefollowingequationforyandidentifytheslope:
5! + 9! = 8
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm5
Independent Practice: Mr.Rogovehas143,000coinsalreadyforthecoindrive.Ifhisawesomestudentscontribute3,231coinseachday,howmanycoins(y)willhehaveafterxdays.
Rachelhad$300inhersavingsaccount.Eachmonthshedeposited$45fromherallowance.Writeanequationthatrepresentsherbalanceindollars(y)afterxmonths.
Solvethefollowingequationforyandidentifytheslope:
−7! + 4! = 16
Solvethefollowingequationforyandidentifytheslope:
3! − 8! = 32
Solvethefollowingequationforyandidentifytheslope:
4! + 15! = −60
Solvethefollowingequationforyandidentifytheslope:
! − 4! = −17
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm6
Matchtheequationswiththegraphs.1.5! + 2! = 10 i.! = !
! ! +!! A.
2.−5! + 2! = 5 ii.! = !! ! − 1 B.
3.2! − 5! = 5 iii.! = − !! ! + 5 C.
NAME:___________________________ Math_________,Period____________Mr.Rogove Date:__________
G8M4L16:SlopeInterceptForm:SimilarTrianglesandConvertingfromStandardForm7
Closure: Solveforyandidentifytheslopeoftheline:
!" + !" = ! Teacher Notes: Lesson17fromModule4,grade8KhanIdentifyingtheslopeofalinedue12/16
