activating prior knowledge - mr. rogove's site...
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NAME:___________________________ Math_______,Period____________
Mr.Rogove Date:__________
G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots1
Learning Objective:Wewillfindpositivesolutionsforequationsinvolvingsquarerootsandcuberoots.(G8M7L5)Activating Prior Knowledge: Wecansolvelinearequations(solveforx)
−2 5! − 3 = ! + 28
27! − 15 = 6! − 78
Concept Development: Solvingnon-linearequationshassomeofthesameelements…ourgoalremainsthesameinsolvingequations:Wecansimplifytheexpressionsuntilwehavetheformof!! = ! !" !! = !andthentakethesquarerootorcuberootofbothsidesoftheequationtosolveforx.Example:
!! + 9! = 12 (18! + 54)
NAME:___________________________ Math_______,Period____________
Mr.Rogove Date:__________
G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots2
Guided Practice: StepstoSolvingEquationsInvolvingSquareRootsandCubeRoots1.Usethepropertiesofequalitytotransformtheequationtotheformof!! =! !" !! = !.2.Solveforxbytakingthesquareroot(orcuberoot)ofbothsidesoftheequation.3.Checkyourworkbysubstitutingthepositivesolutionforyourunknownvalueintotheexercise.
!! + 4! = 4 ! + 16
!! − 14 = 5! + 67− 5!
! ! + 4 − 3 = 2 2! + 39
! ! − 1 = 121− !
NAME:___________________________ Math_______,Period____________
Mr.Rogove Date:__________
G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots3
Asquareyardhasasidelength2! − 1andanareaof121squareyards.Whatisthevalueofx?
Asquarehasasidelengthof3xandanareaof324squareinches.Whatisthevalueofx?
4! ! = 1,728
−3!! + 14 = −67
NAME:___________________________ Math_______,Period____________
Mr.Rogove Date:__________
G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots4
! 2!! − 5 + 3! = −2! + 1024
216+ ! = ! !! − 5 + 6!
6 2! ! − 2! = 12 (144− 4!)
2 ! ! − 6! + 2 = 3 3− 2! + 29
NAME:___________________________ Math_______,Period____________
Mr.Rogove Date:__________
G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots5
Independent Practice: NoindPrac.Cangiveouthomework Closure: Solveforx:
12 (2!
! + 10) = 30Notes: Alignstolesson5grade8module7.Homeworkshouldbeproblemsetfromlesson5.