4th grade math pacing guide: 1st nine weeks unit 1...

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4 th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1: NUMBERS AND OPERATIONS IN BASE TEN, PART 1 Week Lesson Standards Learning Target Vocabulary WEEK 1 Aug. 10 Lesson 0 Lessons for the 1 st 5 Days Refer to the Mathematical Practices - Set up rules and expectations - Pre-assessments WEEK 2 Aug. 14 Continue Lesson 0 Lesson 1 Understand Place Value Lesson 2 Compare Whole Numbers 4NBT.A.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division. 4.NBT.A.2 Read and write multi-digit whole numbers using standard form, word form, and expanded form (the expanded form of 4256 is written as 4 x 1,000 + 2 x 100 + 5 x 10 ÷ 6 x 1). Compare 2 multi-digit numbers based on meanings of the digits in each place and use the symbols >, =, and < to show the relationship. - I can identify the value of a digit based on its location in the number. - I can demonstrate how moving from one place-value position to the next changes the value by a multiple of ten. - I can use standard form, word form, and expanded form to read and write multi-digit whole numbers. - I can use symbols (>, <, =) to show the relationship between two multi- digit numbers. Value Period Word Form Standard Form Expanded Form Compare Greater Than Less Than WEEK 3 Aug. 21 Lesson 3 Add and Subtract Whole Numbers 4.NBT.B4 Fluently add and subtract within 1,000,000 using appropriate strategies and algorithms. - I can use the standard algorithm to add multi-digit whole numbers. - I can use the standard algorithm to subtract multi-digit whole numbers. Sum Difference Regroup WEEK 4 Aug. 28 Lesson 4 Round Whole Numbers 4.NBT.A.3 Round multi-digit whole numbers to any place (up to and including the hundred-thousand place) using understanding of place value. - I can use appropriate tools to round multi-digit whole numbers. - I can explain how a multi-digit whole number is rounded to a specific place value. Round To Estimate An Estimate UNIT 2: OPERATIONS AND ALGEBRAIC THINKING WEEK 5 Sept. 5 Lesson 5 Understand Multiplication 4.OA.A.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. - I can find the key words in a word problem that indicate a multiplicative comparison. - I can write an equation to represent a multiplicative comparison indicated by a word problem. Multiplication Product Factors Equation - Review place value WEEK 6 Sept. 11 Lesson 7 Multiples and Factors 4.OA.B.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given hole number in the range 1-100 is prime or composite. - I can use understanding of multiplication facts to list all the factors of a given whole number. - I can use understanding of multiplication and division facts to determine if a whole number is a multiple of another number. - I can apply understanding of multiples and factors to solving problems. Factor Pair Multiple Composite Numbers Prime Numbers - Review addition and subtraction of whole numbers

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Page 1: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

4thGRADEMATHPACINGGUIDE:1stNineWeeksUNIT1:NUMBERSANDOPERATIONSINBASETEN,PART1

Week Lesson Standards LearningTarget Vocabulary

WEEK1

Aug.10

Lesson

0

Lesson

sfor

the1s

t 5

Days

RefertotheMathematicalPractices-Setuprulesandexpectations-Pre-assessments

WEEK2

Aug.14

Continue

Lesson0

Lesson

1

Und

erstan

dPlaceValue

Lesson

2

Compa

reW

holeNum

bers

4NBT.A.1Recognizethatinamulti-digitwholenumber,adigitinoneplacerepresentstentimeswhatitrepresentsintheplacetoitsright.Forexample,recognizethat700÷70=10byapplyingconceptsofplacevalueanddivision.4.NBT.A.2Readandwritemulti-digitwholenumbersusingstandardform,wordform,andexpandedform(theexpandedformof4256iswrittenas4x1,000+2x100+5x10÷6x1).Compare2multi-digitnumbersbasedonmeaningsofthedigitsineachplaceandusethesymbols>,=,and<toshowtherelationship.

-Icanidentifythevalueofadigitbasedonitslocationinthenumber.-Icandemonstratehowmovingfromoneplace-valuepositiontothenextchangesthevaluebyamultipleoften.-Icanusestandardform,wordform,andexpandedformtoreadandwritemulti-digitwholenumbers.-Icanusesymbols(>,<,=)toshowtherelationshipbetweentwomulti-digitnumbers.

ValuePeriod

WordFormStandardFormExpandedForm

CompareGreaterThanLessThan

WEEK3

Aug.21

Lesson

3

Add

and

Su

btractW

hole

Num

bers

4.NBT.B4Fluentlyaddandsubtractwithin1,000,000usingappropriatestrategiesandalgorithms.

-Icanusethestandardalgorithmtoaddmulti-digitwholenumbers.-Icanusethestandardalgorithmtosubtractmulti-digitwholenumbers.

SumDifferenceRegroup

WEEK4

Aug.28

Lesson

4

Roun

dWho

le

Num

bers

4.NBT.A.3Roundmulti-digitwholenumberstoanyplace(uptoandincludingthehundred-thousandplace)usingunderstandingofplacevalue.

-Icanuseappropriatetoolstoroundmulti-digitwholenumbers.-Icanexplainhowamulti-digitwholenumberisroundedtoaspecificplacevalue.

RoundToEstimateAnEstimate

UNIT2:OPERATIONSANDALGEBRAICTHINKING

WEEK5

Sept.5

Lesson

5

Und

erstan

dMultiplication 4.OA.A.1Interpretamultiplicationequationasacomparison,

e.g.,interpret35=5x7asastatementthat35is5timesasmanyas7and7timesasmanyas5.Representverbalstatementsofmultiplicativecomparisonsasmultiplicationequations.

-Icanfindthekeywordsinawordproblemthatindicateamultiplicativecomparison.-Icanwriteanequationtorepresentamultiplicativecomparisonindicatedbyawordproblem.

MultiplicationProductFactorsEquation

-Reviewplacevalue

WEEK6

Sept.11

Lesson

7

Multiplesand

Factors

4.OA.B.4Findallfactorpairsforawholenumberintherange1-100.Recognizethatawholenumberisamultipleofeachofitsfactors.Determinewhetheragivenwholenumberintherange1-100isamultipleofagivenone-digitnumber.Determinewhetheragivenholenumberintherange1-100isprimeorcomposite.

-Icanuseunderstandingofmultiplicationfactstolistallthefactorsofagivenwholenumber.-Icanuseunderstandingofmultiplicationanddivisionfactstodetermineifawholenumberisamultipleofanothernumber.-Icanapplyunderstandingofmultiplesandfactorstosolvingproblems.

FactorPairMultiple

CompositeNumbersPrimeNumbers

-Reviewadditionandsubtractionofwholenumbers

Page 2: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

Week Lesson Standards LearningTarget Vocabulary

WEEK7

Sept.18

Lesson

6

Multiplicationan

dDivision

inW

ordProb

lems

4.OA.A.2Multiplyordividetosolvecontextualproblemsinvolvingmultiplicativecomparison,anddistinguishingmultiplicativecomparisonfromadditivecomparison.TaskArcs1:PatternBlocks2:PlayingBaseball3:JackandtheBeanstalk4:HouseofCards7:Generations

-Icanusedrawingsandsymbolstorepresentamultiplicativecomparisonproblem.-Icanuseanequationtosolvefortheunknowninamultiplicativecomparisonproblem.

UnknownSymbolProductFactor

Equation

-Reviewadditionandsubtractionofwholenumbers

WEEK8

Sept.25

Lesson

9

Mod

elM

ulti-StepProb

lems

Lesson

10

SolveMulti-StepProb

lems 4.OA.A.3Solvemultistepwordproblemsposedwithwholenumbers

andhavingwhole-numberanswersusingthefouroperations,includingproblemsinwhichremaindersmustbeinterpreted.Representtheseproblemsusingequationswithaletterstandingfortheunknownquantity.Assessthereasonablenessofanswersusingmentalcomputationandestimationstrategiesincludingrounding.

-Icanuseequationswithaletterstandingfortheunknowntorepresentmulti-stepwordproblems.-Icansolvemulti-stepwordproblems.-Icaninterprettheremainderinadivisionwordproblem.-Icanuseestimationstrategiestomakesuretheanswermakessense.

ExpressionUnknownEquationRemainderReasonable

-ReviewRounding

Week9

Oct.2

FLEX

W

EEK

-ReviewandassessUnits1and2

Page 3: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

4thGRADEMATHPACINGGUIDE:2ndNineWeeksUNIT3:NUMBERANDOPERATIONSINBASETEN,PART2

Week Lesson Standards LearningTarget Vocabulary

WEEK10

Oct.16

Lesson

11

MultiplyWho

le

Num

bers

4.NBT.B.5Multiplyawholenumberofuptofourdigitsbyaone-digitwholenumber,andmultiplytwotwo-digitnumbers,usingstrategiesbasedonplacevalueandthepropertiesofoperations.Illustrateandexplainthecalculationbyusingequations,rectangulararrays,and/orareamodels.

-Icanmultiplywholenumbersofuptofourdigitsbyone-digitwholenumbers.-Icanmultiplyatwo-digitnumberbyatwo-digitnumber.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.

PartialProductsMultiplication

ProductFactorMultiple

-Reviewmultiplicativecomparison

WEEK11

Oct.23

Lesson

11

MultiplyWho

le

Num

bers

4.NBT.B.5Multiplyawholenumberofuptofourdigitsbyaone-digitwholenumber,andmultiplytwotwo-digitnumbers,usingstrategiesbasedonplacevalueandthepropertiesofoperations.Illustrateandexplainthecalculationbyusingequations,rectangulararrays,and/orareamodels.

-Icanmultiplywholenumbersofuptofourdigitsbyone-digitwholenumbers.-Icanmultiplyatwo-digitnumberbyatwo-digitnumber.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.

-Reviewfactorsandmultiples

WEEK12

Oct.30

Lesson

12

DivideWho

leNum

bers

4.NBT.B.6Findwhole-numberquotientsandremainderswithuptofour-digitdividendsandone-digitdivisors,usingstrategiesbasedonplacevalue,thepropertiesofoperations,and/ortherelationshipbetweenmultiplicationanddivision.Illustrateandexplainthecalculationbyusingequations,rectangulararrays,and/orareamodels.

-Icanmultiplywholenumbersofuptofourdigitsbyone-digitwholenumbers.-Icanmultiplyatwo-digitnumberbyatwo-digitnumber.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.-Icandivideuptofour-digitdividendsbyone-digitdivisors,withremainders.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.-Icanrecognizetherelationshipbetweenmultiplicationanddivision.

QuotientDividendDivisor

RemainderPartialQuotient

Division

-Reviewadditionandsubtraction

WEEK13

Nov.6

Lesson

12

DivideWho

leNum

bers

4.NBT.B.6Findwhole-numberquotientsandremainderswithuptofour-digitdividendsandone-digitdivisors,usingstrategiesbasedonplacevalue,thepropertiesofoperations,and/ortherelationshipbetweenmultiplicationanddivision.Illustrateandexplainthecalculationbyusingequations,rectangulararrays,and/orareamodels.

-Icanmultiplywholenumbersofuptofourdigitsbyone-digitwholenumbers.-Icanmultiplyatwo-digitnumberbyatwo-digitnumber.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.-Icandivideuptofour-digitdividendsbyone-digitdivisors,withremainders.-Icanuseequations,rectangulararrays,andareamodelstoillustrateandexplaincalculations.-Icanrecognizetherelationshipbetweenmultiplicationanddivision.

QuotientDividendDivisor

RemainderPartialQuotient

Division

-Reviewadditionandsubtraction

Page 4: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

UNIT4:NUMBERANDOPERATIONS–FRACTIONS

Week Lesson Standards LearningTarget Vocabulary

WEEK14

Nov.13

SolveMulti-StepProb

lems

TaskArcs

4.OA.A.3Solvemultistepwordproblemsposedwithwholenumbersandhavingwhole-numberanswersusingthefouroperations,includingproblemsinwhichremaindersmustbeinterpreted.Representtheseproblemsusingequationswithaletterstandingfortheunknownquantity.Assessthereasonablenessofanswersusingmentalcomputationandestimationstrategiesincludingrounding.

TaskArcs5:FairTickets6:SmokyMts.8:EarningMoney

-Icanuseequationswithaletterstandingfortheunknowntorepresentmulti-stepwordproblems.-Icansolvemulti-stepwordproblems.-Icaninterprettheremainderinadivisionwordproblem.-Icanuseestimationstrategiestomakesuretheanswermakessense.

ExpressionUnknownEquationRemainderReasonable

WEEK15

Nov.27

Lesson

13

Und

erstan

dEq

uivalentFractions 4.NF.A.1Explainwhyafraction !

!isequivalenttoafraction

! ! !! ! !

or! ÷!! ÷!

byusingvisualfractionmodels,withattentiontohowthe

numberandsizeofthepartsdiffereventhoughthetwofractionsthemselvesarethesamesize.Usethisprincipletorecognizeand

generateequivalentfractions.Forexample,!!= !!!

!!!= !

!.

-Icanunderstandthevalueofafraction.-Icanunderstandhowafractionmodelrepresentsafraction.-Icanrepresentfractionsonanumberline.-Icanunderstandhowtwofractionsareequivalent.-Icanunderstandhowdifferentmodelscanrepresentthesamevalue.

DenominatorNumeratorDivide

EquivalentFractions

-Reviewfactorsandmultiples

WEEK16

Dec.4

Lesson

14

Compa

reFractions

4.NF.A.2Comparetwofractionswithdifferentnumeratorsanddifferentdenominators,e.g.,bycreatingcommondenominatorsor

numerators,orbycomparingtoabenchmarkfractionsuchas!!.

Recognizethatcomparisonsarevalidonlywhenthetwofractionsrefertothesamewhole.Recordtheresultsofcomparisonswithsymbols>,=,or<,andjustifytheconclusions,e.g.,byusingavisualfractionmodel.

-Icanusesymbols(>,<,=)tocomparefractionswiththesamedenominatoranddifferentnumerators.-Icanrecognizethatfractionswithdifferentdenominatorsandthesamenumeratorsrepresentdifferentvalues.-Icanusebenchmarkfractionstocomparefractions.-Icanrecognizethatyoucanonlycomparetwofractionswhenbothrefertothesamewhole.

BenchmarkFractionCommon

DenominatorCompare

><

FractionNumeratorDenominator

-Reviewcomparingwholenumbers

Page 5: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

Week Lesson Standards LearningTarget VocabularyWEEK17

Dec.11

Lesson

15

Und

erstan

dFraction

Add

itionan

dSu

btraction

Lesson

16

Add

and

Sub

tractFraction

sLesson

27

Line

Plots

4.NF.B.3Understandafraction!!witha>1asasumoffractions

!!.

a.Understandadditionandsubtractionoffractionsasjoiningandseparatingpartsreferringtothesamewhole.b.Decomposeafractionintoasumoffractionswiththesamedenominatorinmorethanoneway,recordingeachdecompositionbyanequation.Justifydecompositions,e.g.,byusingavisual

fractionmodel.Examples:!!=

!!+

!!+

!!;!!=

!!+

!!;2

!!=1+1+

!!=

!!

+!!+

!!.

d.Solvewordproblemsinvolvingadditionandsubtractionoffractionsreferringtothesamewholeandhavinglikedenominators,e.g.,byusingvisualfractionmodelsandequationstorepresenttheproblem.

4.MD.B.4Makealineplottodisplayadatasetofmeasurementsin

fractionsofaunit(!!,!!,!!).Solveproblemsinvolvingadditionand

subtractionoffractionsbyusinginformationpresentedinlineplots.Forexample,fromalineplotfindandinterpretthedifferenceinlengthbetweenthelongestandshortestspecimensinaninsectcollection.

-Icanunderstandadditionasjoiningparts.-Icanunderstandsubtractionasseparatingparts.-Icanunderstandadditionandsubtractionoffractions.-Icanusefractionmodelstoaddandsubtractfractionswithlikedenominators.-Icanaddfractionswithlikedenominators.-Icansubtractfractionswithlikedenominators.-Icanusefractionmodels,numberlines,andequationstorepresentwordproblems.-Icanmakealineplotthatdisplaysdatainfractionalunits.-Icansolveadditionandsubtractionproblemsbyusingalineplot.

FractionNumeratorDenominatorUnitFractionLinePlots

-Reviewmultidigitmultiplication

WEEK18

Dec.18

Lesson

16

Add

and

Sub

tractFraction

s

4.NF.B.3Understandafraction!!witha>1asasumoffractions

!!.

a.Understandadditionandsubtractionoffractionsasjoiningandseparatingpartsreferringtothesamewhole.b.Decomposeafractionintoasumoffractionswiththesamedenominatorinmorethanoneway,recordingeachdecompositionbyanequation.Justifydecompositions,e.g.,byusingavisual

fractionmodel.Examples:!!=

!!+

!!+

!!;!!=

!!+

!!;2

!!=1+1+

!!=

!!

+!!+

!!.

d.Solvewordproblemsinvolvingadditionandsubtractionoffractionsreferringtothesamewholeandhavinglikedenominators,e.g.,byusingvisualfractionmodelsandequationstorepresenttheproblem.

-Icanaddfractionswithlikedenominators.-Icansubtractfractionswithlikedenominators.-Icanusefractionmodels,numberlines,andequationstorepresentwordproblems.

FractionNumeratorDenominatorUnitFraction

-Reviewlongdivision

Page 6: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

4thGRADEMATHPACINGGUIDE:3rdNineWeeksWeek Lesson Standards LearningTarget Vocabulary

WEEK19

Jan.8

FLEX

WEEK

CRATasks:PizzaTaskMoreorLessThanOne?TaskTheCakeShopTaskOrangeJuiceTaskCottageCheeseTask

WEEK20

Jan.16

Lesson

17

Add

and

Sub

tract

Mixed

Num

bers

4.NF.B.3cAddandsubtractmixednumberswithlikedenominators,byreplacingeachmixednumberwithanequivalentfraction,and/orbyusingpropertiesofoperationsandtherelationshipbetweenadditionandsubtraction.

-Icanjoinfractions(samedenominators)byadding.-Icanseparatefractions(samedenominators)bysubtracting.-Icanbreakapartfractionswithanumeratorgreaterthan1intosmallerparts.-Icanwriteadecomposedfractionusinganequation.-Icanaddandsubtractmixednumberswithlikedenominators.-Icandeterminewhethertouseadditionorsubtractionwhensolvingwordproblemsinvolvingfractions.

MixedNumber

-Reviewadditionandsubtractionofwholenumbers

WEEK21

Jan.22

Lesson

18

Und

erstan

dFraction

Multiplication

4.NF.B.4Applyandextendpreviousunderstandingsofmultiplicationtomultiplyafractionbyawholenumber.1.

a.Understandafraction!!asamultipleof

!!.Forexample,useavisualfraction

modeltorepresent!!astheproduct5×(

!!),recordingtheconclusionbythe

equation!! =5×(!

!).

b.Understandamultipleof!!asamultipleof

!!,andusethisunderstandingto

multiplyafractionbyawholenumber.Forexample,useavisualfraction

modeltoexpress3×(!!)as6×(

!!),recognizingthisproductas

!!.(Ingeneral,n

×(!!)=

(! ! !)!

.)

c.Solvewordproblemsinvolvingmultiplicationofafractionbyawholenumber,e.g.,byusingvisualfractionmodelsandequationstorepresentthe

problem.Forexample,ifeachpersonatapartywilleat!!ofapoundofroast

beef,andtherewillbe5peopleattheparty,howmanypoundsofroastbeefwillbeneeded?Betweenwhattwowholenumbersdoesyouranswerlie?

-Icanmultiplyaunitfraction(numeratorof1)byawholenumber.-Icanmultiplyafractionwithanumeratorgreaterthanonebyawholenumber.

FractionNumeratorDenominator

Product

-Reviewrounding

Page 7: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

Week Lesson Standards LearningTarget VocabularyWEEK22

Jan.29

Lesson

19

MultiplyFraction

s

4.NF.B.4Applyandextendpreviousunderstandingsofmultiplicationtomultiplyafractionbyawholenumber.1.

a.Understandafraction!!asamultipleof

!!.Forexample,useavisualfraction

modeltorepresent!!astheproduct5×(

!!),recordingtheconclusionbythe

equation!! =5×(!

!).

b.Understandamultipleof!!asamultipleof

!!,andusethisunderstandingto

multiplyafractionbyawholenumber.Forexample,useavisualfraction

modeltoexpress3×(!!)as6×(

!!),recognizingthisproductas

!!.(Ingeneral,n

×(!!)=

(! ! !)!

.)

c.Solvewordproblemsinvolvingmultiplicationofafractionbyawholenumber,e.g.,byusingvisualfractionmodelsandequationstorepresentthe

problem.Forexample,ifeachpersonatapartywilleat!!ofapoundofroast

beef,andtherewillbe5peopleattheparty,howmanypoundsofroastbeefwillbeneeded?Betweenwhattwowholenumbersdoesyouranswerlie?

-Icansolvewordproblemsthatinvolvemultiplyingafractionbyawholenumber.

FractionNumeratorDenominator

Product

-Reviewmulti-digitmultiplication

WEEK23

Feb.5

Lesson

20

Fraction

sasTen

ths

andHun

dred

ths

4.NF.C.5Expressafractionwithdenominator10asanequivalentfractionwithdenominator100,andusethistechniquetoaddtwofractionswith

respectivedenominators10and100.Forexample,express!!"as

!"!""

,andadd!!"+

!!""

=!"!""

.(Studentswhocangenerateequivalentfractionscandevelop

strategiesforaddingfractionswithunlikedenominatorsingeneral.Butadditionandsubtractionwithunlikedenominatorsingeneralisnotarequirementatthisgrade.)

-Icanrewriteafractionthathasadenominatorof10asanequivalentfractionwithadenominatorof100.-Icanrewriteafractionthathasadenominatorof100asanequivalentfractionwithadenominatorof10.-Icanexplaintherelationshipbetweententhsandhundredths.-Icanaddtwofractionswithdenominatorsof10or100.

TenthsHundredths

EquivalentFractionsNumeratorDenominator

-Reviewlongdivision

WEEK24

Feb.12

Lesson

21

RelateDecim

alsan

dFraction

s

4.NF.C.6Readandwritedecimalnotationforfractionswithdenominators10or100.Locatethedecimalsonanumberline.

-Icanconvertdecimalsintofractions,withdenominatorsof10or100.-Icanconvertfractionsintodecimals,withdenominatorsof10or100.

DecimalDecimalPoint

FractionNumeratorDenominator

-Reviewequivalentfractions

WEEK25

Feb.20

Lesson

22

Compa

reDecim

als

Lesson

27

Line

Plots

4.NF.C.7Comparetwodecimalstohundredthsbyreasoningabouttheirsize.Recognizethatcomparisonsarevalidonlywhenthetwodecimalsrefertothesamewhole.Usethesymbols>,=,or<,andjustifytheconclusions,e.g.,byusingavisualmodel.

4.MD.B.4Makealineplottodisplayadatasetofmeasurementsinfractions

ofaunit(!!,!!,!!).Solveproblemsinvolvingadditionandsubtractionof

fractionsbyusinginformationpresentedinlineplots.Forexample,fromalineplotfindandinterpretthedifferenceinlengthbetweenthelongestandshortestspecimensinaninsectcollection.

-Icancomparetwodecimalsuptohundredths,usingthe>,<,and=symbols.-Icanmakealineplotthatdisplaysdatainfractionalunits.-Icansolveadditionandsubtractionproblemsbyusingalineplot.

DecimalCompare

><

LinePlots

-Reviewcomparingfractions

Page 8: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

UNIT5:MEASUREMENTANDDATA

Week Lesson Standards LearningTarget Vocabulary

WEEK26

Feb.26

Lesson

23

Conv

ert

Measuremen

ts

Custom

ary

4.MD.A.1Measureandestimatetodeterminerelativesizesofmeasurementunitswithinasinglesystemofmeasurementinvolvinglength,liquidvolume,andmass/weightofobjectsusingcustomaryandmetricunits.

-Icanmeasurethelength,volume,and/ormassofanobject.-Icanestimaterelativelength,volume,and/ormassofanobject.

ConvertMetricSystem

CustomarySystem

-Reviewadding/subtractingfractions

WEEK27

Mar.5

Lesson

25

Leng

th,Liquid,

Volum

e,

4.MD.A.2Solveone-or-two–stepreal-worldproblemsinvolvingwholenumbermeasurementswithallfouroperationswithinasinglesystemofmeasurementincludingproblemsinvolvingsimplefractions.

LiquidVolumeMass

-Reviewaddingsubtractingmixednumbers

Page 9: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

4thGRADEMATHPACINGGUIDE:4thNineWeeks

Week Lesson Standards LearningTarget VocabularyWEEK28

Mar.12

Lesson

26

Perimeterand

Area

4.MD.A.3Knowandapplytheareaandperimeterformulasforrectanglesinrealworldandmathematicalproblems.Forexample,findthewidthofarectangularroomgiventheareaoftheflooringandthelength,byviewingtheareaformulaasamultiplicationequationwithanunknownfactor.

-Icanusetheformulasforperimeterandareatosolveproblems.

AreaPerimeterFormula

-Reviewmultidigitmultiplicationandlongdivision

WEEK29

Mar.19

Lesson

24

Timean

dMon

ey 4.MD.A.2Usethefouroperationstosolvewordproblemsinvolvingdistances,

intervalsoftime,liquidvolumes,massesofobjects,andmoney,includingproblemsinvolvingsimplefractionsordecimals,andproblemsthatrequireexpressingmeasurementsgiveninalargerunitintermsofasmallerunit.Representmeasurementquantitiesusingdiagramssuchasnumberlinediagramsthatfeaturesameasurementscale.

-Icandeterminewhichoperationtousewhensolvingwordproblemsinvolvinglength,liquid,volume,mass,time,andmoney.

Convert

-Reviewadditionandsubtractionofwholenumbers

UNIT6:Geometry

WEEK30

Apr.2

Lesson

31

Points,Lines,R

ays,and

Ang

les

4.G.A.1Drawpoints,lines,linesegments,rays,angles(right,acute,obtuse,straight,reflex),andperpendicularandparallellines.Identifytheseintwo-dimensionalfigures.

-Icanidentifyanddrawpoints,lines,linesegments,rays,andangles,andidentifythemintwo-dimensionalfigures.-Icanidentifyanddrawparallelandperpendicularlines,distinguishbetweenthetwo,andidentifythemintwo-dimensionalfigures.

PointLineSegment

LineRayAngleParallel

PerpendicularAcuteObtuse

-Reviewrounding

WEEK31

Apr.9

Lesson

28(Unit5)

Und

erstan

dAng

les

Lesson

32

ClassifyTwo-Dim

ension

alFigures

4.MD.5Recognizeanglesasgeometricshapesthatareformedwherevertworaysshareacommonendpoint,andunderstandconceptsofanglemeasurement:a.Anangleismeasuredwithreferencetoacirclewithitscenteratthecommonendpointoftherays,byconsideringthefractionofthecirculararcbetweenthepointswherethetworaysintersectthecircle.Ananglethatturns

through!!"#

ofacircleiscalleda“one-degreeangle,”andcanbeusedto

measureangles.b.Ananglethatturnsthroughnone-degreeanglesissaidtohaveananglemeasureofndegrees.G.A.3Recognizealineofsymmetryforatwo-dimensionalfigureasalineacrossthefiguresuchthatthefigurecanbefoldedalongthelineintomatchingparts.Identifyline-symmetricfiguresanddrawlinesofsymmetry.

-Icanrecognizeanangleasageometricshape.-Icanidentifyacute,right,andobtuseangles.-Icanrecognizetherelationshipbetweenanangleandacircle.-Icanidentifyatrianglebasedonthesizeofitsangles(acute,obtuse,right).-Icanrecognizethelinesofsymmetryintwo-dimensionalfigures.-Icandrawlinesofsymmetryintwo-dimensionalfigures.

AngleRay

VertexDegree

RightAngleAcuteAngleObtuseAngle

PolygonRectangle

Equilateral,IsoscelesScalene,Acute

Right,andObtuseTriangles

QuadrilateralParallelogramRhombusTrapezoid

-Reviewequivalentandcomparingfractions

Page 10: 4th GRADE MATH PACING GUIDE: 1st Nine Weeks UNIT 1 ...fssd.org/wp-content/uploads/2016/07/4thMathPG.pdf · applying concepts of place value and division. 4.NBT.A.2 Read and write

Week Lesson Standards LearningTarget Vocabulary

WEEK32

Apr.16

Unit5

Lesson

29

Measureand

DrawAng

les

Lesson

30

Add

and

Sub

tractwith

Ang

les

4.MD.C.6Measureanglesinwhole-numberdegreesusingaprotractor.Sketchanglesofspecifiedmeasure.4.MD.C.7Recognizeanglemeasureasadditive.Whenanangleisdecomposedintonon-overlappingparts,theanglemeasureofthewholeisthesumoftheanglemeasuresoftheparts.Solveadditionandsubtractionproblemstofindunknownanglesonadiagraminrealworldandmathematicalproblems,e.g.,byusinganequationwithasymbolfortheunknownanglemeasure.

-Icanmeasureananglecorrectlyusingaprotractor.-Icandrawanangleofaspecificdegree.-Icanexplainhowoneanglecanbebrokendownintosmallerangles.-Icanexplainhowseveralsmalleranglescanbeputtogethertoformonelargeangle.-Icansolveadditionandsubtractionproblemstofindunknownangles.

ProtractorAngleRay

VertexDegree

RightAngleCompose

Decompose

-Reviewaddingandsubtractingfractions

WEEK

33

Apr.23

FLEX

WEEK

-Reviewaddingandsubtractingmixednumbers

WEEK34

Apr.30

Lesson

32

ClassifyTwo-Dim

ension

alFigures

Lesson

33

Symmetry

4.G.A.2Classifytwo-dimensionalfiguresbasedonthepresenceorabsenceofparallelorperpendicularlines,orthepresenceorabsenceofanglesofaspecifiedsize.Recognizerighttrianglesasacategory,andidentifyrighttriangles.

4.G.A.3Recognizeanddrawlinesofsymmetryfortwo-dimensionalfigures.

-Icansorttwo-dimensionalfiguresbasedonparallelorperpendicularlines.-Icansorttwo-dimensionalfiguresbasedonacute,obtuse,orrightangles.-Icanrecognizethattrianglescanbeclassifiedbasedonthelengthsoftheirsides(isosceles,equilateral,scalene).-Icanidentifyatrianglebasedonthesizeofitsangles(acute,obtuse,right).-Icanrecognizethelinesofsymmetryintwo-dimensionalfigures.-Icandrawlinesofsymmetryintwo-dimensionalfigures.

EquilateralTriangleIsoscelesTriangleScaleneTriangleAcuteTriangleRightTriangleObtuseTriangleLineofSymmetry

-Reviewrelatingfractionstodecimals

WEEK35

May7

Unit2

Lesson

8

Num

beran

dSh

ape

Patterns

4.OA.C.5.Generateanumberorshapepatternthatfollowsagivenrule.Identifyapparentfeaturesofthepatternthatwerenotexplicitintheruleitself.Forexample,giventherule“Add3”andthestartingnumber1,generatetermsintheresultingsequenceandobservethatthetermsappeartoalternatebetweenoddandevennumbers.Explaininformallywhythenumberswillcontinuetoalternateinthisway.

-Icanuserulestomakeorextendanumberpattern.-Icananalyzeanddescribepatternsinnumbersandshapes.

RulePattern

-Reviewcomparingdecimals

WEEKs36–37

May14

and

May21

FLEX

WEEK

-RefertotheMathinActionforUnits1–6