topic 1 assessments numeration 2 weeks write numbers … maps/math 6th grade 2013.pdf · grade 6...

Grade 6 Math Curriculum Map Ann Maas 2013-2014

Topic1

Numeration2Weeks

AssessmentsSummative Topic Test: SWBAT write whole numbers and decimals in standard, expanded and word form, compare and order whole numbers and decimals, write numbers and expressions in exponential form, make an organized list. Performance Assessment: SWBAT Make an organized list and compare and order items from a table.

Topic Objectives Vocabulary1‐1 SWBATreadandwritenumberstotrillionsinstandard,expanded,andwordformand

givethevalueofspecifieddigits.expandedformtrillion

1‐2 SWBATuseplacevaluetoorderandcomparewholenumbers. 1‐3 SWBATwritepowersasproducts,evaluateexpressionsinexponentialform,andwrite

numbersinexpandedformusingexponents.baseexponentpowerexponentialform

1‐4 SWBATgivetheplacevaleofagivendigitinadecimalnumberandwritedecimalsinexpandedandwordform.

1‐5 SWBATuseplacevalueandpatternstomultiplyanddividenumbersbypowerof10. decimal1‐6 SWBATuseplacevaluetoorderandcomparedecimals. 1‐7 SWBATsolvewordproblemsbemakingorganizedlists.

StandardsCovered:6.EE.1


Topic2Variables,

Expressions,andProperties2Weeks

AssessmentsSummative Topic Test: SWBAT write expressions with variables, find missing numbers, use order of operations, use the Distributive Property, use properties to evaluate expressions, make an input/output table. Performance Assessment: SWBAT generate an input and output table for a given situation, write and evaluate algebraic expressions.

Topic Objectives Vocabulary2‐1 SWBATwritenumericalexpressionswithvariablestorepresentrelationsexpressed

verbally.variablesalgebraicexpressions

2‐2 SWBATgivemissingaddendsandfactorsinequationsandstatethepropertyused. CommutativePropertyAssociativePropertyIdentityProperty

2‐3 SWBATevaluatenumericoralgebraicexpressionswith3ormorenumbersorvariablesusingthecorrectorderofoperations.

orderofoperations

2‐4 SWBATusetheDistributivePropertytoevaluateexpressions. DistributiveProperty2‐5 SWBATevaluateexpressions,usingmentalmathandpropertiesofoperations,and

justifythestepsused

2‐6 SWBATevaluateexpressionsusingsubstitution evaluatesubstitution

2‐7 SWBATidentifyamissingnumberandwriteanalgebraicexpressiontodescribethepattern.

input/outputtable

2‐8 SWBATmakeandusetablestosolverealworldproblems. StandardsCovered:6.EE.26.EE.36.EE.46.EE.56.EE.6


Topic3

OperationsWithDecimals3Weeks

AssessmentsSummative Topic Test: SWBAT estimate and find sums, differences, products, and quotients involving decimals, use order of operations and solve multiple step problems. Performance Assessment: SWBAT use computation with decimals from a table and generate a table to determine combinations of foods that will serve 4 people without exceeding a limit.

Topic Objectives Vocabulary3‐1 SWBATestimatethesumsanddifferencesofexpressionsinvolvingdecimals. estimate3‐2 SWBATfindthesumsordifferencesofdecimalnumbers. 3‐3 SWBATestimateproductsandquotientsofwholenumbersanddecimalnumbers. 3‐4 SWBATfindproductsofwholenumbersanddecimalstotenthousandths. 3‐5 SWBATfindthequotientwherethedividendand/orthequotientisadecimal. 3‐6 SWBATdividewholenumbersbydecimals 3‐7 SWBATfindthequotientoftwodecimals 3‐8 SWBATuseOrderofOperationstoevaluateexpressionswithwholenumbersand

decimals.

3‐9 SWBATusescientificnotationtoexpressverylargeorverysmallnumbers. Scientificnotation3‐10 SWBATsolvemultiple‐stepwordproblems.

StandardsCovered:6.NS.26.NS.36.EE.3


Topic4

SolvingEquations1.5Weeks

AssessmentsSummative Topic Test: SWBAT use properties of equalities to balance equations, use inverse operations to solve one-step equations, to draw a diagram, write an equations and solve it from a real-world problem Performance Assessment: SWBAT find missing numbers in a chart showing the packing and pricing of gadgets.

Topic Objectives Vocabulary4.1 SWBATusethepropertiesofequalitiestobalanceequations. Equations

AdditionPropertyofEqualitySubtractionPropertyofEqualityMultiplicationPropertyofEqualityDivisionPropertyofEquality

4.2 SWBATuseinverseoperationtoisolatethevariabletosolveone‐stepadditionandsubtractionequations.

inverserelationship

4.3 SWBATdrawadiagramthatrepresentsinformationgiveninareal‐worldproblem. 4.4 SWBATuseinverseoperationtoisolatethevariabletosolveone‐stepmultiplicationand

divisionequations.

4.5 SWBATdrawadiagramthatrepresentsinformationgiveninareal‐worldproblem. StandardsCovered:6.EE.36.EE.56.EE.66.EE.7


Topic5

NumberandFractionConcepts

1.5Weeks

AssessmentsSummative Topic Test: write the prime factorization of a number, find the GCF, interpret fractions, find equivalent fractions, write fractions in simplest form, and make and test conjectures. Performance Assessment: SWBAT decide on quantities fill a gift bag based on budget and use GCF to determine number of guests.

Topic Objectives Vocabulary5‐1 SWBATusedivisibilityrulestodeterminefactorsandmultiplesofwholenumbers. multiple

divisible5‐2 SWBATidentifyanumberasprimeorcompositeandgivetheprimefactorizationfor

numbers.primenumbercompositenumberprimefactorization

5‐3 SWBATfindfactorsanddeterminegreatestcommonfactorofnumbers. greatestcommonfactor(GCF)5‐4 SWBATdescribefractionsasparts,regionsofaset,oralocationonanumberline. fraction

numeratordenominator

5‐5 SWBATwriteequivalentfractions. equivalentfractions5‐6 SWBATsimplifyfractionandexpresstheminlowestterms. simplestform5‐7 SWBATmakeandtestconjecturesandreviseorrejectthem.

StandardsCovered:6.NS.36.NS.4AZ6.NS.9


Topic6Decimals,

Fractions,andMixedNumbers1.5Weeks

AssessmentsSummative Topic Test: use fractions to represent division, write equivalent fractions and decimals, and improper fractions and mixed numbers, and draw a diagram to solve a real-world problem. Performance Assessment: SWBAT make predictions to determine seedling growth, draw a diagram to show the estimates and then write numbers as decimals, fractions and mixed numbers to compare numbers.

Topic Objectives Vocabulary6‐1 SWBATusefractionstorepresentdivisionandlocateandplacefractionsonanumber

line.

6‐2 SWBATidentifyandwriteequivalentdecimalsandfractions. 6‐3 SWBATwritemixednumbersasimproperfractionsandimproperfractionsasmixed

numbers.properfractionimproperfractionmixednumber

6‐4 SWBATfindequivalentdecimalsforfractionsandmixednumbers,changeterminatingdecimalstofractionsormixednumbers.

terminatingdecimalrepeatingdecimal

6‐5 SWBATdrawadiagramtorepresentareal‐worldproblem. StandardsCovered:6.NS.2AZ.6.NS.9


Topic7AddingandSubtractingFractionsandMixedNumbers

2Weeks

AssessmentsSummative Topic Test: SVBAT find the least common multiple of numbers, estimate and find the sum or difference of fractions and mixed numbers with or without common denominators. Performance Assessment: SWBAT add and subtract fractions and mixed numbers with or without common denominators in a real-world situation.

Topic Objectives Vocabulary7‐1 SWBATaddandsubtractfractionswithlikedenominatorsandgivetheanswerin

simplestform.

7‐2 SWBATfindtheleastcommonmultiple(LCM)ofasetofnumbers. multipleleastcommonmultiple

7‐3 SWBATaddandsubtractfractionswithoutcommondenominatorsandgivetheanswerinsimplestform.

unlikedenominatorsleastcommondenominators

7‐4 SWBATestimatesumsanddifferencesofmixednumbersandfractionsbyroundingtothenearestwholenumber.

7‐5 SWBATfindthesumsofmixednumbersandgiveanswersinsimplestform. 7‐6 SWBATfindthedifferencesofmixednumberswithorwithoutrenamingandgive

answersinsimplestform.

7‐7 SWBATmakeandusetablestosolvereal‐worldproblems. StandardsCovered:6.NS.4AZ.6.NS.9


Topic8

MultiplyingFractionsandMixedNumbers1.5Weeks

AssessmentsSummative Topic Test: SVBAT estimate and find products of fractions and mixed numbers and solve multiple-step problems. Performance Assessment: SWBAT multiple fractions and mixed numbers from a table for a real-world situation.

Topic Objectives Vocabulary8‐1 SWBATusedifferentmethodstomultiplyfractionsbywholenumbers. 8‐2 SWBATusecompatiblenumbersandroundingtoestimateproductswithfractions. 8‐3 SWBATfindtheproductoftwofractions. 8‐4 SWBATfindtheproductoftwomixednumbers. 8‐5 SWBATsolvemultiple–stepreal‐worldproblems.

StandardsCovered:6.NS.4AZ.6.NS.9


Topic9

DividingFractionsandMixedNumbers1.5Weeks

AssessmentsSummative Topic Test: SVBAT estimate and find quotients of fractions and mixed numbers and look for patterns in numbers. Performance Assessment: SWBAT divide fractions and mixed numbers to rewrite a recipe.

Topic Objectives Vocabulary9‐1 SWBATmakeandusemodelstodividefractionsanddividebyfractions. 9‐2 SWBATuseinverserelationshiptodividebyafraction. reciprocal9‐3 SWBATusemultiplicationtodividefractions 9‐4 SWBATestimatequotientsofmixednumbersusingcompatiblenumbersandrounding. 9‐5 SWBATfindthequotientinvolvingmixednumbers. 9‐6 SWBATsolveone‐stepequationsinvolvingfractionsandmixednumbers. 9‐7 SWBATsolvereal‐worldproblemsbylookingforapattern.

StandardsCovered:6.NS.1


Topic10Integers3Weeks

AssessmentsSummative Topic Test: SVBAT read and write integers, compute using integers, solve equations with integers, identify and graph on the coordinate plane, and work backwards to solve a problem. Performance Assessment: SWBAT to write and use algebraic expressions with integers to represent inventory in an optical company.

Topic Objectives Vocabulary10‐1 SWBATread,write,andusepositiveandnegativenumbers. opposites

integersabsolutevalue

10‐2 SWBATcompareandorderintegers. 10‐3 SWBATlocate,compare,andorderrationalnumbersonanumberline. rationalnumbers10‐4 SWBATaddintegersusinganumberlineandtherulesforaddingintegers. 10‐5 SWBATsubtractintegersusinganumberlineandtherulesforsubtractingintegers. 10‐6 SWBATmultiplyintegersusingapatternandtherulesformultiplyingintegers. 10‐7 SWBATdivideintegersusingtherelationshipbetweenmultiplicationanddivisionand

therulesfordividingintegers.

10‐8 SWBATsolveequationsinvolvingpositiveandnegativenumbers. 10‐9 SWBATidentifyandlocatepointsonthecoordinateplane. coordinateplane

x‐axisy‐axisquadrantsorderedpairorigin

10‐10 SWBATtoworkbackwardstosolvereal‐worldproblemsinvolvingintegers. StandardsCovered:6.NS.5 6.NS.66.NS.7 6.NS.8


Topic11

PropertiesofTwo‐DimensionalFigures2.5Weeks

AssessmentsSummative Topic Test: SVBAT read and write integers, compute using integers, solve equations with integers, identify and graph on the coordinate plane, and work backwards to solve a problem. Performance Assessment: SWBAT to write and use algebraic expressions with integers to represent inventory in an optical company.

Topic Objectives Vocabulary11‐1 SWBATidentifyexamplesofimportantgeometrictermsrelatingtotwo‐dimensional

figures.point,line,ray,planelinesegmentcongruentlinesegmentsmidpointintersectinglinesparallellinesperpendicularlines

11‐2 SWBATmeasureanddrawanglesandclassifythemaccordingtotheirmeasures. vertexacuteanglerightangleobtuseanglestraightangle

11‐3 SWBATidentifyandfindmeasuresofvertical,complementary,andsupplementaryangles.

verticalanglescongruentanglesadjacentanglescomplementaryanglessupplementaryangles

11‐4 SWBATidentifyandclassifytrianglesusingsidesandangles. acutetrianglerighttriangleobtuseangleequilateralangleisoscelestrianglescalenetriangle


11‐5 SWBATidentifyandclassifyquadrilateralsusingtherelationshipofsidesandangles trapezoid

parallelogramrhombusrectanglesquare

11‐6 SWBATidentifythepartsofacircleandtherelationshipsbetweenthem. circlediameterradiuschordcentralanglearcsector

11‐7 SWBATdeterminewhetherfiguresarecongruentandwhetherapairofcongruentfiguresisrelatedbytransformation.

congruentfigurestranslationreflectionglidereflectionrotation

11‐8 SWBATidentifyandmakesymmetricalfiguresanddrawlinesofsymmetry. reflectionsymmetrylineofsymmetryrotationalsymmetry

11‐9 SWBATsolveproblemsbymakingatableandfindingnumericalpatternsinthetable. StandardsCovered:


Topic12

Ratios,RateandProportions2Weeks

AssessmentsSummative Topic Test: SVBAT use ratios to compare quantities, find equal rations, determine if rations are proportional, find and use rates, and use a diagram to solve real-world problems Performance Assessment: SWBAT to find and use ratios, equal ratios, and rates in designing a cookbook.

Topic Objectives Vocabulary12‐1 SWBATexpresscomparisonsasratioin3ways;a/b,a:b,andatob. ratio

term12‐2 SWBATfindequalratiosanddetermineif2rationsformaproportion. proportion12‐3 SWBATfindtheunitrateforagivenrate. rate

unitrate12‐4 SWBATcompareanduseratestodeterminethebetterbuyorthelowerrate. 12‐5 SWBATuseaformulatosolveproblemsinvolvingdistance,rate,andtime. formula12‐6 SWBATdrawadiagramthatrepresentinformationgiveninareal‐worldproblem.

StandardsCovered:6.NP.16.RP.26.RP.3


Topic13Solving

Proportions2Weeks

AssessmentsSummative Topic Test: SWBAT use ratio tables, common factors, and unit rates to solve proportions, use cross multiplication to solve proportions, solve proportions to find measures of similar figures, on maps and scale drawings. Performance Assessment: SWBAT use a map scale and map distances to plan two road trips with different routes.

Topic Objectives Vocabulary13‐1 SWBATuseratiotablesandcommonfactorstosolveproportions. 13‐2 SWBATfindunitratestosolveproportions. 13‐3 SWBATusecrossmultiplicationtosolveproportions. 13‐4 SWBATexplainsolutionstorealworld‐problems. 13‐5 SWBATwriteandsolveproportionstofindmissingmeasuresofsimilarfigures. similarfigures13‐6 SWBATusemapsandscaledrawingstosolveproblems. scaledrawing

scaleStandardsCovered:6.NP.16.RP.26.RP.3


Topic14

UnderstandingPercent2Weeks

AssessmentsSummative Topic Test: SWBAT interpret percents as parts of a hundred, find equivalent fractions, decimals, and percents, estimate percents of numbers, find a percent and what percent one numbers is of another, solve problems involving tips, taxes and simple interest. Performance Assessment: SWBAT find loan interest and profit using three repayment plans for a business.

Topic Objectives Vocabulary14‐1 SWBATinterpretpercentsaspartsofahundred. percent14‐2 SWBATfindequivalentformsorfractions,decimals,andpercents. 14‐3 SWBATinterpretpercentsgreaterthan100andlessthan1aspartofahundredand

expresstheminequivalentdecimalandfractionforms.

14‐4 SWBATusecompatiblenumberstoestimatepercentsofnumbersandtodeterminewhatonepercentonenumberisofanother.

14‐5 SWBATfindpercentofanumberanddeterminewhatonepercentonenumberisofanother.

14‐6 SWBATapplypercentsinsituationsinvolvingtips,taxes,discounts,andinterest. principalinterestsimpleinterest

14‐7 SWBATchecktoseeifnumbersarereasonable. StandardsCovered:6.NS.9


Topic15

EquationsandGraphs2Weeks

AssessmentsSummative Topic Test: SWBAT solve equations with more than one operation, use rules and equations to find missing values and complete tables, graph and identify points on the coordinate plane, graph proportional relationships, graph linear equations, use reasoning to solve problems. Performance Assessment: SWBAT determine the number of horses and dogs to add to a ranch and stay within a budget.

Topic Objectives Vocabulary15‐1 SWBATsolvesimpletwo‐stepequationsinvolvingmultiplicationordivisionand

additionorsubtraction.

15‐2 SWBATuserulesandfunctionstofindmissingvaluesintables,andtheywritearuleandaone‐stepequationthattellshowtofindonevalueofafunctionwhenanothervalueisknown.

15‐3 SWBATuserulesandfunctionstofindmissingvaluesintables,andtheywritearuleandatwo‐stepequationthattellshowtofindonevalueofafunctionwhenanothervalueisknown.

15‐4 SWBATgraphproportionalrelationshipsandrelationshipsinvolvingaddition. T‐tablelinearequation

15‐5 SWBATgraphlinearrelationshipsinvolvingmorethanoneoperation. 15‐6 SWBATusetables,graphsandequationstoidentifyfunctions. relation

function15‐7 SWBATsolvereal‐worldproblemsbyusingobjectstomodeltheproblemanddraw

conclusions.

StandardsCovered:6.EE.56.EE.66.EE.76.EE.9


Topic16Measurement2Weeks

AssessmentsSummative Topic Test: SWBAT use customary and metric conversions, determine units of measure and precision, calculate units of time and use and explain reasoning. Performance Assessment: SWBAT convert measures to find capacity, distance, length, and weight/mass.

Topic Objectives Vocabulary16‐1 SWBATchangebetweencustomaryunitsoflength,weight,andcapacity. capacity16‐2 SWBATchangebetweenmetricunitsoflength,weight,andcapacity. meter

gramliterkilo‐centi‐milli‐

16‐3 SWBATusebothcustomaryandmetricunitstomeasurewithprecision. 16‐4 SWBATcovertbetweencustomaryandmetricmeasuresoflength,capacity,and

weight/mass.

16‐5 SWBATaddandsubtractunitsoftimetofindelapsedtime. 16‐6 SWBATusereasoningtodrawconclusionsandsolveproblems.

StandardsCovered:


Topic17

PerimeterandArea

2Weeks

AssessmentsSummative Topic Test: SWBAT find perimeter, the area of rectangles, triangles, parallelograms, and irregular figures, and find circumference and area of circles. Performance Assessment: SWBAT find the circumference of a circle and areas of rectangles, squares, circles, and triangles as they decide which shape to use to create a design on the side of a building.

Topic Objectives Vocabulary17‐1 SWBATselectanduseappropriateunits,tools,and/orformulastomeasureandsolve

perimeterofregularandirregularpolygons.perimeter

17‐2 SWBATfindtheareasofrectanglesandirregularfigures. area17‐3 SWBATdevelopanduseformulasforareasofparallelogramsandtriangles. 17‐4 SWBATusetheconceptofpitoestimateandfindcircumference,diameterorradiusofa

circlewhengivenonethethesedimensions.circumference

17‐5 SWBATusethedimensionsofacircleandpitoestimateandfindtheareaofacircle. 17‐6 SWBATuseobjectstosolveproblemsthatfocusongeometricrelationships.

StandardsCovered:6.G.1


Topic18

VolumeandSurfaceArea2Weeks

AssessmentsSummative Topic Test: SWBAT identify characteristics of solids, find the surface area of solids, volume of rectangular prisms, triangular prisms and cylinders, and use objects and reasoning to solve problems. Performance Assessment: SWBAT find the volume of rectangular prisms, triangular prisms, and cylinder to decide how to pack and store on irregular wall hanging, and analyze of changing the dimensions changes volume and surface area.

Topic Objectives Vocabulary18‐1 SWBATclassifypolyhedronsandidentifyvertices,edges,andfaces,identifya

polyhedronfromanetanddrawtopfront,andsideviews.polyhedronfaces,edge,vertexcylinder,sphere,prismpyramid,cone,net

18‐2 SWBATfindthesurfaceareaofarectangularprism,acylinder,atriangularprism,andasquarepyramidbyaddingtheareasofthefacesorbyusingaformula.

18‐3 SWBATfindthevolumeofarectangularprismbyusingaformula. 18‐4 SWBATfindthevolumeoftriangularprismsandcylindersbyusingaformula. 18‐5 SWBATiseobjectsandreasoningtofindthesurfaceareaandvolumeofsolidfigures.

StandardsCovered:6.G.2


Topic19

DataandGraphs3Weeks

AssessmentsSummative Topic Test: SWBAT read and make graphs, circle graphs, stem-and-leaf plots, frequency tables, histograms, find and analyze mean, median, mode and range, describe the difference between population and sample. Performance Assessment: SWBAT use data and statistics to analyze a poll and sales at an electronics store.

Topic Objectives Vocabulary19‐1 SWBATread,interpret,andmakedouble‐baranddouble‐linegraphs double‐linegraph

double‐bargraphtrend

19‐2 SWBATread,interpret,andmakecirclegraphs. circlegraph19‐3 SWBATcomparegraphsandidentifymisleadinggraphs. 19‐4 SWBATmakegraphstorepresentdataandsolveproblems. scattergram19‐5 SWBATfindthemean,median,mode,andrangeofasetofdata,andchoosethemeasure

thatbestrepresentsagivensetofdata.rangemeanmedianmode

19‐6 SWBATmakeandusefrequencytablesandhistograms. frequencytablehistogramoutlier

19‐7 SWBATmakeastem‐and‐leafplotandanalyzethedisplayeddata. stem‐and‐leafplot19‐8 SWBATdecidewhichmeasureofcentraltendencymostaccuratelydescribesagivenset

ofdataandtheyrecognizeinappropriateusesofstatisticalmeasures.

19‐9 SWBATdescribethedifferencebetweenapopulationandasampleandmakepredictionsbasedonasample.

survey,populationsample,randomsampling,representativesamplebiasedsample

19‐10 SWBATanalyzeandevaluateclaimsanddeterminewhethersurveyresultsaremisleading.

19‐11 SWBATsolveproblemsusingtheTry,Check,andRevisestrategy. StandardsCovered:


6.SP.1,6.SP.2,6.SP.3,6.SP.4,6.SP.5

TopicProbabilityWeeks

AssessmentsSummative Topic Test: SWBAT find all possible outcomes of an event, a number of arrangements, theoretical and experimental probabilities, probabilities of dependent and independent events, and make an organized list to solve problems Performance Assessment: SWBAT use counting methods and probability concepts in planning a party.

Topic Objectives Vocabulary20‐1 SWBATfindsallthepossibleoutcomesofacompoundeventbydrawingatreediagram,

makingalist,makingagrid,ormultiplying.event,outcomesamplespacecompoundeventCountingPrincipletreediagram

20‐2 SWBATfindthenumberofarrangementsofasetofobjectsbothwhenordermattersandwhenorderdoesnotmatter.

permutationcombinations

20‐3 SWBATexpresstheprobabilityofeventasafraction,decimal,orpercent. probabilitycomplement

20‐4 SWBATunderstandtheoreticalandexperimentalprobability,anduseprobabilitytopredictresults.

experimentalprobabilitytheoreticalprobability

20‐5 SWBATfindtheprobabilityoftwoindependentordependenteventsasafractionandpercent.

independenteventsdependentevents

20‐6 SWBATsolvewordproblemsbymakinganorganizedlist. StandardsCovered:

topic 1 assessments numeration 2 weeks write numbers … maps/math 6th grade 2013.pdf · grade 6...

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