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??