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CurriculumMap2011‐2012School:CentennialMiddleSchool GradeLevel:7thGrade
Names:KarenBigham,BethReddekopp,JohnTidswellSubject:Math
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
7.1NumberandOperationsandAlgebra: Developanunderstandingofoperationsonallrationalnumbersandsolvinglinearequations.7.1.1Develop,analyze,andapplymodels(includingeverydaycontexts),strategies,andprocedurestocomputewithintegers,withanemphasisonnegativenumbers.7.1.2Extendknowledgeofintegersandpositiverationalnumberstosolveproblemsinvolvingnegativerationalnumbers.7.1.3Developandusestrategiestoestimatetheresultofrationalnumbercomputationsandjustifythereasonablenessofresults.7.1.4Applypropertiesofrationalnumbersandalgebratowriteandsolvelinearequationsinonevariable.
September
2
7.1.1–7.1.4
SimplifyingFractions Writefractionsin
simplestform.Lesson1
Pre‐testQuiz1
September
2
7.1.1–7.1.4
Evaluatemixednumbersandimproperfractions
Writemixednumberssimproperfractions.Writeimproperfractionsasmixednumbers.
Lesson2Quiz2
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
September
2
7.1.1–7.1.4
AddingandSubtractingFractions
Addandsubtractfractionswithlikeandunlikedenominators.
Lesson3Quiz3
September
2
7.1.1–7.1.4
MultiplyandDivideFractions
Multiplyanddividefractions.
Lesson4Quiz4
September
2
7.1.1–7.1.4
OperationswithMixedNumbers
Add,subtract,multiply,ordividemixednumbers.
Lesson5Quiz5
September
2
7.1.1=7.1.4
AddingandSubtractingDecimals
Addandsubtractdecimals.
Lesson6Quiz6
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
September
2
7.1.1–7.1.4
MultiplyandDivideDecimals
Multiplyaddividedecimals.
Lesson7Quiz7UnitTEST
October
2
7.1.1–7.1.4
UnderstandingIntegers Locateintegersandtheir
oppositesonanumberline.Findtheabsolutevalueofanumber.
Lesson8Pre‐testQuiz8
October
2
7.1.1–7.1.4
Comparingintegers Compareandorder
integers.Lesson9
Quiz9
October
4
7.1.1–7.1.4
AddingandSubtractingIntegers
Addtwoormoreintegerstofindthesum.Subtracttwointegerstofindthedifference.
Lesson10Lesson11Lesson3‐1Holt?
Quiz10Quiz11
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
October
4
7.1.1–7.1.4
MultiplyandDivideIntegers
Multiplytwoormoreintegerstofindaproduct.Dividetwoormoreintegerstofindthequotient.
Lesson12Lesson13
Quiz12Quiz13
October
2
7.1.1–7.1.4
PowersandExponents Writeandcompute
expressionswithpowers.
Lesson14Quiz14
October
2
7.1.1–7.1.4
SquareRoots Calculatethesquareroot
ofperfectsquares.Lesson3‐3Glencoe?
October
2
7.1.1–7.1.4
OrderofOperations Findthevalueof
expressionsusingtheorderofoperations.
Lesson15Quiz15UnitTEST
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
November
2
7.1.1–7.1.4
EstimatingSumsandDifferenceswithDecimalsandFractions
Estimatesumsanddifferencesofrationalnumbers.
Lesson16Pre‐testQuiz16
November
2
7.1.1–7.1.4
AddingRationalNumbers
Addpositiveandnegativefractionsanddecimals.
Lesson17Quiz17
November
2
7.1.1–7.1.4
SubtractingRationalNumbers
Subtractpositiveandnegativefractionsanddecimals.
Lesson18Quiz18
November
2
7.1.1–7.1.4
EstimatingProductsandQuotients
Estimateproductsandquotientsofrationalnumberoperations.
Lesson19Quiz19
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
November
2
7.1.1–7.1.4
MultiplyingRationalNumbers
Findproductsofpositiveandnegativefractionsanddecimals.
Lesson20Quiz20
November
2
7.1.1–7.1.4
DividingRationalNumbers
Findquotientsofpositiveandnegativefractionsanddecimals.
Lesson21Quiz21UnitTEST
November
2
7.1.1–7.1.4
ExpressionsandEquations
Writeandevaluatealgebraicexpressions.Determineifanumberisasolutionofanequation.
Lesson22Pre‐testQuiz22
November
2
7.1.1–7.1.4
SolvingOne‐StepEquations
Useinverseoperationstosolveone‐stepequations.
Lesson23Quiz23
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
December
2
7.1.1–7.1.4
SolvingTwo‐StepEquations
Solvetwo‐stepequations.
Lesson24Quiz24
December
2
7.1.1–7.1.4
DistributiveProperty UsetheDistributive
Propertytosimplifyexpressions.SolveequationsusingtheDistributiveProperty.
Lesson25Quiz25
December
2
7.1.1–7.1.4
SimplifyAlgebraicExpressions
SimplifyexpressionsusingtheDistributivePropertyandcombiningliketerms.
Lesson26Quiz26
December
2
7.1.1–7.1.4
SimplifyandSolveAlgebraicEquations
Simplifyandsolveequationswithvariablesononesideofanequation.
Lesson27Quiz27
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
December
2
7.1.1–7.1.4
SolvingEquationswithVariablesonbothsides
Simplifyandsolveequationswithvariablesonbothsidesofanequation.
Lesson28Quiz28UnitTEST
7.2NumberandOperations,Algebra,andGeometry:Developanunderstandingofandapplyproportionality,includingsimilarity.7.2.1Representproportionalrelationshipswithcoordinategraphsandtables,andidentifyunitrateastheslopeoftherelatedline.7.2.2Applyratioandproportionalitytosolveproblems,includingpercentandsimpleprobability.7.2.3Usecoordinategraphs,tables,andequationstodistinguishproportionalrelationshipsfromotherrelationships,includinginverseproportionality.7.2.4Developandusescalefactorsandproportionalrelationshipstosolveproblems,includingsimilarityandcongruence.7.2.5Convertamongdifferentunitsofmeasurementtosolveproblems,includingrates.7.2.6Applyscalefactortoanalyzehowthechangeinonemeasure(e.g.,length,area,volume)affectsanother.
December
2
7.2.1–7.2.6
Measurement Convertcustomaryand
metricmeasurements.Lesson1
Quiz1
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
December
2
7.2.1–7.2.6
FractionsandDecimals Convertfractionsto
decimalsanddecimalstofractions.
Lesson2Quiz2
December
2
7.2.1–7.2.6
Ratios Simplifyandwriteratios
inthreeforms.Lesson3
Quiz3
December
2
7.2.1–7.2.6
UnitRates Calculateunitrates. Lesson4
Quiz4
December
2
7.2.1–7.2.6
RateConversions Convertratesto
differentunits.Lesson5
Quiz5
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
December
2
7.2.1–7.2.6
WriteandSolveProportions
Writeandsolveproportions
Lesson6Quiz6
January
2
7.2.1–7.2.6
ProblemSolvingwithProportions
Solveproblemsbywritingandsolvingproportions
Lesson7Quiz7
January
2
7.2.1–7.2.6
SimilarandCongruentFigures
Recognizecongruentandsimilarfigures.Findthescalefactorofsimilarfigures.
Lesson8Quiz8
January
2
7.2.1–7.2.6
ProportionsandSimilarFigures
Useproportionstosolveproblemsinvolvingsimilarfigures.
Lesson9Quiz9
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
January
2
7.2.1–7.2.6
SpecialRatiosforSimilarFigures
Findthescalefactor,ratioofperimetersandratioofareasofsimilarfigures.
Lesson10Quiz10
January
2
7.2.1–7.2.6
ScaleDrawings Usescalesformaps,
blueprintsandmodelstofindmissingmeasurements.
Lesson11Quiz11
January
2
7.2.1–7.2.6
Fractions,Decimals,andPercents
Convertbetweenfractions,decimals,andpercents.
Lesson12Quiz12
January
2
7.2.1–7.2.6
Probability Findandinterpret
experimentalandtheoreticalprobabilities.
Lesson13Quiz13
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
January
2
7.2.1–7.2.6
UseProbabilitytoPredict
Predictanoutcomeusingexperimentalandtheoreticalprobability.
Lesson14Quiz14
January
2
7.2.1–7.2.6
ProbabilityandDataDisplays
Createandinterpretcirclegraphsandhistograms.
Lesson15Quiz15
January
2
7.2.1–7.2.6
SolvingPercentsUsingProportions
Findthepercentofanumberusingproportions.Findamissingnumberusingproportionswithpercents.
Lesson16Quiz16
January
2
7.2.1–7.2.6
SolvingPercentsUsingEquations
Findthepercentofanumberusingthepercentequation.Findamissingnumberusingthepercentequation.
Lesson17Quiz17
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
January
2
7.2.1–7.2.6
PercentofChange Findthepercentof
increaseorthepercentofdecreasebetweentwonumbers.Usepercentofchangetofindnewvalues.
Lesson18Quiz18
February
2
7.2.1–7.2.6
PercentApplications Solveproblemsinvolving
mark‐ups,discounts,tipsandtaxes.
Lesson19Quiz19
February
2
7.2.1–7.2.6
TheCoordinatePlane Recognizeandgraph
orderedpairsonacoordinateplane.
Lesson20Quiz20
February
2
7.2.1–7.2.6
MakingSenseofGraphs Recognizeagraphgiven
wordsandexplainthemeaningofgraphs.
Lesson21Quiz21
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
February
2
7.2.1–7.2.6
DirectVariationTablesandGraphs
Recognizedirectvariationintablesandgraphs.
Lesson22Quiz22
February
2
7.2.1–7.2.6
DirectVariationEquations
Writeandgraphdirectvariationequations.
Lesson23Quiz23
February
2
7.2.1–7.2.6
RecognizingDirectVariation
Identifydirectvariationfromotherfunctionsgivengraphs,tablesorequations.
Lesson24Quiz24
February
2
7.2.1–7.2.6
WritingLinearEquations
Writelinearequationsfortablesorgraphs.
Lesson25Quiz25
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
7.3MeasurementandGeometry:Developanunderstandingofanduseformulastodeterminesurfaceareaandvolume.7.3.1Usemodelstoexplainthereasonablenessofformulasforthecircumferenceandareaofcircles.7.3.2Knowcommonestimatesofandusethesevaluestoestimateandcalculatethecircumferenceandareaofacircle.7.3.3Solveproblemsinvolvingareasandcircumferencesofcircles.7.3.4Usemodelstoexplainthereasonablenessofformulasforthesurfaceareafpyramidsandcylinders,andvolumeofpyramids,cylinders,andcones.7.3.5Findandjustifyrelationshipsamongtheformulasfortheareasofdifferentpolygonswhendeterminingsurfacearea.7.3.6Solveproblemsinvolvingsurfaceareasofpyramidsandcylindersandvolumesofpyramids,cylinders,andcones.7.3.7Estimateandcomputetheareaandvolumeofcomplexorirregularshapesbydividingthemintobasicshapes.
March
2
7.3.1–7.3.7
AreasofTrianglesandParallelograms
Useareaformulastocomputeareaofgeometricshapesandfindmissingmeasures.
Lesson1Quiz1
March
2
7.3.1–7.3.7
AreaofaTrapezoid
Understandandusethetrapezoidareaformula.
Lesson2Quiz2
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
March
2
7.3.1–7.3.7
Partsofacircle Identify,nameand
definepartsofcircles.Lesson3
Quiz3
March
2
7.3.1–7.3.7
CircumferenceandPi Understandandusethe
relationshipbetweenpianddiametertofindcircumference.
Lesson4Quiz4
March
2
7.3.1–7.3.7
AreaofaCircle Understandandusethe
circleareaformula.Lesson5
Quiz5
March
2
7.3.1–7.3.7
MorePi Identifyanduse
commonestimationsofpi.
Lesson6Quiz6
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
March
2
7.3.1–7.3.7
CompositeFigures Findtheareaof
compositefigures.Lesson7
Quiz7
April2
7.3.1–7.3.7
CircleSimilarity Applypropertiesof
similaritytocircles.Lesson8
Quiz8
April
2
7.3.1–7.3.7
AreaofSectors Useproportionsto
calculatetheareaofsectors.
Lesson9Quiz9
April
2
7.3.1–7.3.7
Three‐DimensionalFigures
Identifythenamesandqualitiesofthree‐dimensionalfigures.
Lesson10Quiz10
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
April
27.3.1–7.3.7
DrawingSolids Sketchanddrawsolids
intwodimensionsandinthreedimensions.
Lesson11Quiz11
April
2
7.3.1–7.3.7
SurfaceAreaofPrisms Calculatethesurface
areaofprisms.Lesson12
Quiz12
April
2
7.3.1–7.3.7
SurfaceAreaofCylinders
Calculatethesurfaceareaofcylinders.
Lesson13Quiz13
April
2
7.3.1–7.3.7
SurfaceAreaofRegularPyramids
Calculatethesurfaceareaofregularpyramids.
Lesson14Quiz14
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
May
2
7.3.1–7.3.7
SurfaceAreaofCones Calculatethesurface
areaofconesLesson15
Quiz15
May
2
7.3.1–7.3.7
SurfaceAreaofCompositeSolids
Calculatethesurfaceareaofcompositesolids
Lesson16Quiz16
May
2
7.3.1–7.3.7
VolumeofPrisms Calculatethevolumeof
prisms.Lesson17
Quiz17
May
2
7.3.1–7.3.7
VolumeofCylinders Calculatethevolumeof
cylinders.Lesson18
Quiz18
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
May
2
7.3.1–7.3.7
VolumeofSectorsofCylinders
Calculatethevolumeofsectorsofcylinders.
Lesson19Quiz19
May
2
7.3.1–7.3.7
VolumeofPyramids Calculatethevolumeof
pyramids.Lesson20
Quiz20
May
2
7.3.1–7.3.7
VolumeofCones Calculatethevolumeof
cones.Lesson21
Quiz21
Thecurrent7thgradecurriculummapisintheprocessofbeingalignedtoNEWstatestandards.Thisisaworkinprogresstobecompletedduringthe2011‐12year.Thismapwillevolveastheyearprogresses–themonthandnumberofdaysarenotaccurateorsetinstone.ThenewCommonCoreStateStandardswillchangethiscurriculummapforthe2012‐13schoolyear.Pleasecontactyourchild’s7thgradeteacherifyouhavespecificquestions.
May
2
7.3.1–7.3.7
VolumeofCompositeSolids
Calculatethevolumeofcompositesolids.
Lesson22Quiz22
Month
Days
PowerStandard
Content
Skills
Activities
Assessment
May
2
7.3.1–7.3.7
SimilarSolids Useratiosand
proportionswhenfindingscalefactors,linearratios,arearatiosandvolumeratiosofsimilarsolids.
Lesson23Quiz23
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