NAME:___________________________ Math_____,Periods____________Mr.Rogove Date:__________
G8M4L1:WritingEquationsUsingSymbols1
Learning Objective:Wewillwritemathematicalstatementsusingsymbolstorepresentnumbers.(G8M4L1)Concept Development: Equation:Anequationisastatementofequalitybetweentwoexpressions.Examples:3+ 4 = 7 tan! = !"#!
!"#!!! ! + 15 = !WritingEquations(wordsv.symbols)
• Defineyourvariables.• Writtenmathematicalstatementscanberepresentedasmorethanone
correctsymbolicstatement.• Breakcomplicatedproblemsintosmallerparts.
Example:Awholenumberhasthepropertythatwhenthesquareofhalfthenumberissubtractedfromfivetimesthenumber,wegetbackthenumberitself.
Addition
Subtraction Multiplication Division Otherwords
MorethanPlus
Lessthanminus
Timesdoubled
IntoDividedby
Squares:squared,timesitself
Variables:‘acertainnumber’
Equals:Is
NAME:___________________________ Math_____,Periods____________Mr.Rogove Date:__________
G8M4L1:WritingEquationsUsingSymbols2
Guided Practice: StepsforWritingEquationsUsingSymbols1.Readthewrittendescriptioncarefully.Underlinetheimportantwords.2.Defineyourvariable.3.Createanequationusingsymbols(numbers,variables,andoperators)thatrepresentthewrittendescription.Thesumof39andtripleanumberis6timesthatnumber.
Whenyousquarehalfofanumberandadd12,youget5timesthatnumber.
Paulhasacertainamountofmoney.Ifhespends6dollars,thenhehas!!oftheoriginalamountleft.
Whenyouadd8to!!ofanumber,yougetthenumberitself.
Thesumof3consecutiveintegersis201.
Thesumofconsecutiveevenintegersis486.
Onenumberis6morethananothernumber.Thesumoftheirsquaresis90.
Thesumofanumbersquaredandthreelessthantwicethenumberis129.
NAME:___________________________ Math_____,Periods____________Mr.Rogove Date:__________
G8M4L1:WritingEquationsUsingSymbols3
Independent Practice: StepsforWritingEquationsUsingSymbols1.Readthewrittendescriptioncarefully.Underlinetheimportantwords.2.Defineyourvariable.3.Createanequationusingsymbols(numbers,variables,andoperators)thatrepresentthewrittendescription.Whenanumberistakenawayfrom57,whatremainsisfourmorethan5timesthenumber.
Thesumoffourconsecutiveevenintegersis−28.
Anumberisfourtimeslargerthanthesquareofhalfthatnumber.
Stevenhassomemoney.Ifhespends$9,hewillhave!!ofthemoneyhestartedwith.
Monicahadsomecookies.Shegaveseventohersister.Thenshedividedtheremainderinhalfandshestillhadfivecookies.
Whenyousquarefivetimesanumber,youget3morethanthenumber.
NAME:___________________________ Math_____,Periods____________Mr.Rogove Date:__________
G8M4L1:WritingEquationsUsingSymbols4
JanetisthreeyearsolderthanhersisterJulie.Janet’sbrotheriseightyearsyoungerthantheirsisterJulie.Thesumofalltheiragesis55.
Thesumof2consecutiveevenintegersdividedby4is189.5
Subtractsevenmorethantwiceanumberfromthesquareofone-thirdofthenumbertogetzero.
Brucetooktwotripslastsummer.Oneofthetripswas500milesmorethan4timesaslongastheothertrip.Alltogether,theirtripswere3,850mileslong
TheWarriorswereplayingbasketballagainsttheCavaliers.TheCavsscored12morethanfour-fifthsofthetotalpointsthattheWarriorsscored.Togethertheyscored210pointsinthegame.
Theproductof4and1plusthequantityofeighttimesanumberequals3timesthatnumber.
Thesumof12andtwo-thirdsofanumberisthenumberitself.
WRITEYOUROWNPROBLEM,SHOWITTOYOURFRIEND!
NAME:___________________________ Math_____,Periods____________Mr.Rogove Date:__________
G8M4L1:WritingEquationsUsingSymbols5
Activating Prior Knowledge: Numberstring:3 is 100% of what number?
3 is 50% of what number?
6 is 50% of what number?
3 is 25% of what number?
6 is 25% of what number?
3 is 10% of what number?
6 is 20% of what number?
3.8 is 10% of what number?
Closure: Writeyourownwrittenequations(seepage4)Teacher Notes: KhanWritingexpressions1and2?HW??