NAME:___________________________ Math_____,Period____________Mr.Rogove Date:__________

G8M4L2:LinearExpressionsandLinearEquations1

Learning Objective:Wewilldefinealinearexpressionanddistinguishbetweenlinearandnon-linearexpressions.(G8M4L2)Concept Development: LinearExpression:Alinearexpressionisanexpressionwhereeachtermisaconstant,avariable(likex),oraproductofaconstantandavariable.Examples:

3!

12! − 13

!4 + 3

21− 4!

Non-Examples:!! − 3! − 4

!! − 1

2− !!

!2

!

Term:Anyproductofanintegerpowerofxandaconstantorjustaconstant.Example:4!, 2, !Constant:Afixednumber.Example:2! + 12(12istheconstantterm).Coefficient:Anumberusedtomultiplyavariable.Example:2! + 12(2isthecoefficient)

NAME:___________________________ Math_____,Period____________Mr.Rogove Date:__________

G8M4L2:LinearExpressionsandLinearEquations2

Guided Practice: StepsforExaminingExpressions1.Readthewrittendescriptioncarefullyanddefineavariable.2.Writeyourexpressionusingsymbolsandsimplifyifpossible.3.Determineiftheexpressionislinearornon-linearbythepowerofx,andidentifytheimportantpartsoftheexpression(coefficient,constant,term)Thesumofanumberand4timesthenumber.Expression:Linear?YesorNoCoefficient(s):

Theproductofanumberand5.Expression:Linear?YesorNoCoefficient(s):

Thesumofanumberandthree,andthentimestheoriginalnumber.Expression:Linear?YesorNoCoefficient(s):

Theproductof19andanumber,subtractedfromthereciprocalofthenumbercubed.Expression:Linear?YesorNoCoefficient(s):

NAME:___________________________ Math_____,Period____________Mr.Rogove Date:__________

G8M4L2:LinearExpressionsandLinearEquations3

Thesquareofthesumofsixandanumber.Expression:Linear?YesorNoCoefficient(s):Constant:

Foursubtractedfromthereciprocalofanumber.Expression:Linear?YesorNoCoefficient(s):Constant:

Independent Practice:Areeachofthefollowingexpressionslinearornon-linear?Writetheexpressionssymbolically.Anumberdecreasedbythreesquared.Expression:Linear?YesorNoCoefficient(s):Constant:

Twodividedbyanumber,subtractedfromseventeen.Expression:Linear?YesorNoCoefficient(s):Constant:

NAME:___________________________ Math_____,Period____________Mr.Rogove Date:__________

G8M4L2:LinearExpressionsandLinearEquations4

Thesumof13andtwiceanumber.Expression:Linear?YesorNoCoefficient(s):Constant:

Thesumofanumberandnegativethree,multipliedbythenumber.Expression:Linear?YesorNoCoefficient(s):Constant:

Three-fourthsofanumbermultipliedbyseven.Expression:Linear?YesorNoCoefficient(s):Constant:

Anumberincreasedby5,dividedbytwo.Expression:Linear?YesorNoCoefficient(s):Constant:

NAME:___________________________ Math_____,Period____________Mr.Rogove Date:__________

G8M4L2:LinearExpressionsandLinearEquations5

Activating Prior Knowledge: WeknowhowtowritemathematicalstatementsusingsymboliclanguageSubtractsevenmorethantwiceanumberfromthesquareofone-thirdofthenumbertogetzero.

Threemorethanfourtimesanumberisthesameasthesquareofhalfthenumber.

Closure: Giveoutexitticketlesson3asclosure…Teacher Notes: Module4,lessons2and3.Homework—giveoutproblemsetforlesson3…pageS.8dueWednesday.