Academic Vocabulary · PDF fileAcademic Vocabulary Mathematics ... English language...

Academic Vocabulary Mathematics

Los Banos Unified School District Carolann DeMoss

Teacher on Special Assignment - Mathematics These grade level lists of mathematical vocabulary words are the result of the compilation of a number of math word lists. An effort was made to include words that have a high frequency, are relevant to California mathematics standards and CST, and are found in the District’s adopted math textbook, Scott Foresman.

• There are 7 graded lists, Kindergarten through Sixth Grade • Each list is arranged in alphabetical order • A key for each grade level is provided to identify the vocabulary word’s origin

and frequency of occurrence The following published lists were used:

Nieroroda B. and Browning C. (1989). EDL core vocabularies in reading, mathematics, science, and social studies. Steck-Vaughn: Orlando.

Marzano R. and Pickering D. (2005). Building academic vocabulary: Teacher’s

manual. Association for Supervision and Curriculum Development: Alexandria.

California mathematics. (2001). Scott Foresman: Glenview.

Other publications used: California Department of Education (2005). California CST released test

questions. Retrieved at http://cde.ca.gov/ta/tg/sr on July 12, 2006.

Mathematics framework for California public schools. (2006). California Department of Education: Sacramento.

Use of the word lists: Vocabulary development, preview and review, English language development, word games, and a discussion regarding standard math language are a few of the potential uses for these word lists. Efforts towards the formulation of a school- or district-wide math vocabulary program could begin with these word lists.

Mathematics Vocabulary ListLos Banos Unified School District

Grade 5

KEY:EDL Math Core Vocabulary Grades 4-6 Marzano Level 2 - Grades 3 - 5

Scott Foresman Vocabulary - Gr 5 2005 Released Test Item Vocabulary - Gr 5

Grade 5 CA Standards Vocabulary

2 occurrences 4 occurrences 3 occurrences 5 occurrences

Notes:2-dimensional shape2-dimensional shape combination2-dimensional shape decomposition2-dimensional shape slide2-dimensional shape turn2-dimensional space3-dimensional shape3-dimensional shape combinationactualacute angleacute angleacute anglesaddendadditionaddition algorithmanalyzeangleangleangleangle(s)angle measurement toolangle unitangle zapplyapproximateapproximate, -d, -lyapproximate measureapproximate solutionsarcarcareaareaareaareaarea of a parallelogramarea of a triangle

Math Vocabulary Words

Grade 5 - Page 1


Grade 5





Notes:Math Vocabulary Wordsarea of triangleassociative propertyassociative property of additionassociative property of multiplicationaverageaverageaxesaxisbar graphbar graphbar graphbasebase of a figurebase fivebasic number combinationsbest describesbest representsbetweenbillionbreak (down) a problemcalculated resultscalculationscapacitycapacitycentimetercentral anglecertainty (probability)chartschordcircle graphcircle graph(s)circumferencecircumferencecircumferenceclasses of trianglesclassify

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Grade 5





Notes:Math Vocabulary Wordsclosed (no other form)closed sentenceclosest to the measurecluster clusteringcode, -d, -ingcommon (in common)common denominatorcommon factorcommon fraction(s)common fractionscommon multiplecommutative (order) property of additioncommutative propertycommutative property of multiplicationcompact numeralcompare, -edcompasscompasscompatible numberscompensationcomplex problemscompositecomputationcomputeconecone (geometric shape)congruentcongruentconservation of areaconstantconstructconstruct, -ioncoordinate planecoordinatescorresponding angles

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Grade 5





Notes:Math Vocabulary Wordscorresponding sidescross, -ed, -ingcubecubecubedcubic (cube) unitcubic centimetercubic foot (feet)cubic inchcubic inchcubic metercubic yardcubic yardcylindercylinderdatadatadatadata clusterdata collection methoddata setsdecimaldecimaldecimal(s)decimal additiondecimal divisiondecimal equivalentsdecimal estimationdecimal formdecimal multiplicationdecimal numeraldecimal placesdecimal pointdecimal subtractiondecimeterdegree measure

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Grade 5





Notes:Math Vocabulary Wordsdegree of accuracydegreesdenominatordenominatordepict, -eddescribedeterminediagramdiagramdiameterdifferencedifferent size unitsdimensiondiscount, -ed, -ingdisplaydistribute (-d) overdistributive law (property) for (of) multiplication (over addition)distributive propertydistributive propertydistributive propertydividenddividenddivisibilitydivisibledivisiondivisiondivisordivisor(s)double bar graphdrawing softwareelapsed timeEnglish system of measurementequalequal decimalsequally likely

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Grade 5





Notes:Math Vocabulary Wordsequationequationequation(s)equilateral triangleequivalent formsequivalent fractional numeralsequivalent fractionsequivalent fractionsequivalent fractionsequivalent ratiosequivalent representationestimateestimated dataestimationestimationestimation of fractionsestimation of heightestimation of lengthestimation of widthevaluateeven numberseventevent likelihoodexact dataexact solutionsexact, -lyexpanded formexpanded notationexperimentexplainexponentexponentexponent(s)exponential formexpress, -ed, -ing, -ionexpression

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Grade 5





Notes:Math Vocabulary Wordsexpressionexpression(s)expression representsextend, -ed, -ingextreme valuefacefaces of a shapefactor treefactorizationfactorsfactorsfarther, -estfigureflip (reflection)flip transformationformed byformulaformulaformula four quadrantsfractionfractionfractionfraction(s)fraction additionfraction divisionfraction multiplicationfraction subtractionfractional formfractional numberfractional numeralfractions of different sizefrequency tablefront-end digitsfront-end estimationfront-end estimation

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Grade 5





Notes:Math Vocabulary Wordsfunctionfunction rulefunction tablegeometric figuregeometric patterngeometric pattern extensiongivengiven percentgramgramgraphgraph(s)graph ordered pairsgreatest common factorgreatest common factorgreatest common factor (GCF)gridgrowing patternheightheighthistogramhistogramhistogramhorizontal axishow manyhundred thousandhundredshundredthhundredthsidentifyidentify ordered pairsidentify relationshipsidentity propertyidentity propertyidentity property of additionimprobability

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Grade 5





Notes:Math Vocabulary Wordsimproper fractionimproper fractioninchesincreaseinequalityinequality solutionsinformationintegerintegersinteger valuesinteriorinterpretinterpret resultsintersecting linesintersection of shapesinvalid argumentinverse operationsinvestigationirrelevant informationirrelevant information in a problemisosceles trianglekilometerlayerleastleast common denominatorleast common denominator (LCD)least common multipleleast common multiple (LCM)left (was left?)lengthlike denominator(s)linelineline graphline graphline graph

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Grade 5





Notes:Math Vocabulary Wordsline mline of symmetryline plotline segmentlinear equationlinear functionslinear patternlocate, -d, -catinglocated onlocation (on a grid)location (on a number line)long divisionlowest termslowest terms fractionmanipulatemapmassmathematical notationmathematical reasoningmeanmeanmeanmeasuremeasure of anglemeasurementmeasures of central tendencymeasures of heightmeasures of lengthmeasures of widthmedianmedianmedianmedianmedianmetermeter

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Grade 5





Notes:Math Vocabulary Wordsmeters longmetric systemmetric systemmetric systemmidpointmiles farthermiles fewermiles per hourmillimetermillionsmixed numbermixed number(s)mixed numbersmixed numeralmodemodemodemodemodel(s)monthmultidigitmultidigit divisor(s)multiplemultiplemultiples of a factormultiplicationmultiplicationnatural numbernearest tennearest thousandnearest thousand square milesnegativenegative integersnegative numbernonnegative integersnumber line

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Grade 5





Notes:Math Vocabulary Wordsnumber linenumber of facesnumber pairsnumber planenumber sentencenumber tripletnumber(s)number(s)numeration systemnumeratornumeratorobject(s)observe, -ing patternsobtuse angleobtuse angleobtuse anglesodd numbersone-quarter hourones' place (column)one-sixth hourone-third houropen sentenceopen sentenceorder of operationsorder of operationsordered (number) pairsordered pairordered pairordered pairsorganizeoutcomeoutcomeoutlieroutput numberpair(s)parallel lines

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Grade 5





Notes:Math Vocabulary Wordsparallel linesparallel linesparallel linesparallelogramparallelogramparallelogramparallelogram formulapart of a hundredpart to wholepartial quotientpathpatternpattern addition pattern subtractionperperper minutepercentpercentpercentpercent(s)percent, -agepercentagespercent equivalentsperimeterperimeterperimeterperiodperpendicularperpendicular linesperpendicular linesperpendicular linesperpindicular linespipictographpicture graph

Grade 5 - Page 13


Grade 5





Notes:Math Vocabulary Wordspie chartplace value chartplace-value chartplaneplane figuresplotplot resultspointpointpoint (on a grid)point on a number linepolygonpositive decimal(s)positive fraction(s)positive integer powerspositive integer(s)positive integerspositive numberpound(s)powerpowerpower of tenpower(s) of tenprecise calculationsprimeprimeprimeprimeprime factorprime factorsprime factorizationprime factorizationprime factorizationprime factorizationprime numberprioritize, -ing

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Grade 5





Notes:Math Vocabulary Wordsprismprismprobabilityprobabilityprobabilityproblem situationproceduresprocess of eliminationproductproductproduct of n (and a number)proofpropertiesproportionprotractorprotractorpyramidpyramidquadrantsquotientquotientquotientrangerange (of scores)rateraterateratioratiorational numberrayreasonablenessreciprocalreciprocalrecord (a graph)rectangle

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Grade 5





Notes:Math Vocabulary Wordsrectangle formularectangular boxrectangular prismrectangular prismrectangular prismreduced formregularregular polygonrelationshiprelationshipsrelative distancerelative magnituderelative magnitude(s)relative magnitude of fractionsrelative sizerelevant informationrelevant information in a problemremainderremainderrepeated multiplicationrepeating patternrepresentrepresentsrepresents valuesrestate a problemresultsreversing order of operationsrhombusright angleright angleright triangleright trianglerodrotationroundround (-ed, -ing) off

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Grade 5





Notes:Math Vocabulary Wordsroundedroundingrulerrulersame size unitssamplesamplesave per poundsavedscalescale (of a drawing, map, etc.)sequence, -ingseveralshape similarityshape symmetryshape transformationshort word formshortcut (short cut)shrinking patternsidesimilarsimplesimple closed curvesimple closed figuresimple closed surfacesimple expressionssimpler partssimpler problemssimplest formsimplest formsimplest formsimplest numeralsimplifysingle-variable datasituationsituation

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Grade 5





Notes:Math Vocabulary Wordsslide (translation)solid figuressolid geometric figuressolutionsolution setsolve problemsspecific valuesspherespheresquare foot (feet)square inchsquare inchessquare milesquare milessquare regionsquare yardsquaredstandard formstandard unitstandard vs. nonstandard unitsstem-and-leaf plotstore couponstraight anglestraightedgestrategiesstudiessubsetsubstitutionsubtractionsubtraction algorithmsumsurface areasurface areasurface areasurface areasurface area

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Grade 5





Notes:Math Vocabulary Wordssurveysurveysymbolic representationsymbolssymmetrysystemtabletable(s)talliesten thousandstens' place (column)tenthstenthsterms (of a numeral, etc.)thick, -nessthousandsthousandththousandthsthree-dimensionalthree-dimensional objectsthroughtimetime zonetotaltotal land areatrace, -d, tracingtransformationtree diagramtrendtrial and errortriangletriangletriangle formulatruetruncationturn (rotation)

Grade 5 - Page 19


Grade 5





Notes:Math Vocabulary Wordstwicetwo-dimensionaltwo-dimensional patterntwo-dimensional viewsunion of setsunit conversionunit differencesunit priceunit(s)unknown numberunlike denominator(s)unlike denominatorsvalid argumentvalidityvaluevaluevalue(s)value for zvalue ofvalue of the expressionvalues of the variablevariabilityvariablevariable(s)Venn diagramverbal representation of a problemverificationverifyverify the reasonablenessvertexvertical axisvolumevolumevolumevolume measurementvolume of irregular shapes

Grade 5 - Page 20


Grade 5





Notes:Math Vocabulary Wordsvolume of rectangular solidsweighwhole numberwidthword formwritewritten as a fractionwritten as a percentyearzero property of multiplication

Grade 5 - Page 21

Appendix An explanation of the word lists used in the creation of this document: California Standards Vocabulary and Released Test Item Vocabulary The author attempted to identify key grade level terms and phrases that were critical to student understanding of mathematics and the development of mathematical academic language. EDL Math Core Vocabulary Educational Developmental Laboratories’ (EDL’s) purpose for the development and publication of the core vocabulary list is to improve the readability of instructional materials. Two doctoral dissertations are the basis of the two grade level mathematics core vocabulary lists, grade levels 1 – 3 and grade levels 4 - 6. These lists provide information as to the frequency and importance of mathematical terms. Each word or phrase is ranked according to its frequency and placed in a category. EDL lists 473 math words in seven categories for grades K – 3 and 743 math words in nine categories for grades 4 – 6. EDL Core Vocabularies in Reading, Mathematics, Science, and Social Studies is referenced by ETS, Educational Testing Network Service - the company that creates the CST and CAHSEE, and individuals under contract for writing test items. For the purposes of this LBUSD Mathematics Academic Vocabulary List, the following EDL math categories were used: Grades K – 3: Words listed in Primary Categories I – III; 169 math terms Grades 4 – 6: Words listed in Intermediate Categories I – VI; 140 math terms Marzano Marzano and Pickering created the lists by taking words from national standards documents and organizing the words into grade level sections. The authors caution the user(s) to make determination as to which words are critically important, useful but not critical, and interesting but not very useful to the understanding of mathematics.

Academic Vocabulary Word Lists: Level 1: grades K – 2; 80 math terms on list Level 2: grades 3 – 5; 190 math terms on list Level 3: grades 6 – 8; 201 math terms on list

Scott Foresman Vocabulary Grade level math words were obtained from each grade level’s teacher editions. The words are listed as “Building Vocabulary” at the beginning of each chapter.

Academic Vocabulary · PDF fileAcademic Vocabulary Mathematics ... English language...

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