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7th GradeVocabulary Cards and Word WallsRevised: August 29, 2011Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the mathcurriculum adopted by the Utah State Board of Education, August 2010. The cards are arranged alphabetically. Each card has three sections.o Section 1 is only the word. This is to be used as a visual aid inspelling and pronunciation. It is also used when students are writingtheir own “kid-friendly” definition and drawing their own graphic.o Section 2 has the word and a graphic. This graphic is available to beused as a model by the teacher.o Section 3 has the word, a graphic, and a definition. This is to be usedfor the Word Wall in the classroom. For more information on using aWord Wall for Daily Review – see “Vocabulary – Word Wall Ideas”on this website. These cards are designed to help all students with math content vocabulary,including ELL, Gifted and Talented, Special Education, and RegularEducation students.For possible additions or corrections to the vocabulary cards, please contact theGranite School District Math Department at 385-646-4239.Bibliography of Definition Sources:Algebra to Go, Great Source, 2000. ISBN 0-669-46151-8Math on Call, Great Source, 2004. ISBN-13: 978-0-669-50819-2Math at Hand, Great Source, 1999. ISBN 0-669-46922Math to Know, Great Source, 2000. ISBN 0-669-47153-4Illustrated Dictionary of Math, Usborne Publishing Ltd., 2003. ISBN 0-7945-0662-3Math Dictionary, Eula Ewing Monroe, Boyds Mills Press, 2006. ISBN-13: 978-1-59078-413-6Student Reference Books, Everyday Mathematics, 2007.Houghton-Mifflin eGlossary, http://www.eduplace.comInteractive Math Dictionary, http://www.amathsdictionaryforkids.com

absolute valueabsolutevalueabsolutevalue-5 5-5 5The distance of a numberfrom zero on the numberline. Always positive.

acute triangleacutetriangleacutetriangleA triangle with no anglemeasuring 90º or more.

additive inverseadditiveinverseadditiveinverse -3 3 03 is the additive inverse, or opposite, of -33 is the additive inverse, or opposite, of 3-3 3 03 is the additive inverse,or opposite, of -33 is the additive inverse,or opposite, of 3A number that is the samedistance from 0 on thenumber line, but in theopposite direction

adjacent angleadjacentangleadjacentangleABBD ABC is adjacent to CBD.CACD ABC is adjacent to CBD .Two angles in a planethat have a commonvertex and a commonside. They do not haveany common interiorpoints. In other words,they do not share any“inside space.”

areaareaarea2 rows of 5 10 square unitsor2 x 5 10 square units2 rows of 5 10 square unitsor2 x 5 10 square unitsThe measure, in squareunits, of the interiorregion of a 2-dimensionalfigure or the surface of a3-dimensional figure.

area (circle)area(circle)area(circle)rA πr2rA πr2The measure, in squareunits, of the interiorregion of a 2dimensional figure.The formula for thearea of a circle, A r 2 .

area(regular polygon)area(regular polygon)11A aP or A a n s22area(regular polygon)11A aP or A a n s22a apothems side lengthP perimetern number of sidesa apothems side lengthP perimetern number of sidesThe area of a polygonis the measurement ofthe 2-dimensionalregion enclosed bythe polygon.

area(quadrilateral)rectangle : A bhareahd11trapezoid : A (b1 b2 )h2square : A s 2b2shsrectangle : A bh(quadrilateral)d2b(quadrilateral)area1rhombusor kite : A d1d 22hb11rhombusor kite : A d1d 22d1d2bsquare : A s 21trapezoid : A (b1 b2 )h2b2shsb1Area is themeasurement of the2-dimensionalregion enclosed bythe quadrilateral.

area (triangle)area(triangle)area(triangle)hbhbThe area of a triangle is1A bh ,2where b the base andh the vertical height.

axisy-axisaxisx-axisy-axisaxisx-axisA reference line fromwhich distances or anglesare measured in acoordinate grid.(plural – axes)

circumferencecircumferenceC πd or C 2πrThe distance around acircle, which equals a littlemore than three times itsdiameter.circumferenceC πd or C 2πr

efficientA numerical factor in a termof an algebraic expression.

commissionscommissionsMr. Bennie receives a 30%commission on each car that he sells.A fee charged by abroker or agent forhis/her service infacilitating atransaction.commissionsMr. Bennie receives a 30%commission on each car that he sells.

complementaryanglesQcomplementaryangles30 S60 TRm J m A 90 45 JQ30 complementaryanglesSm QRS m SRT 90 60 TRm J m A 90 45 J45 Am QRS m SRT 90 45 ATwo angles arecomplementary if theyadd up to 90 (rightangle). They don't haveto be next to each other.

compound eventcompoundeventcompoundeventWhat is the probability of tossing a headon a quarter and rolling a ‘3’ on a die?What is the probability oftossing a head on a quarter androlling a ‘3’ on a die?Two or more independentevents considered together.

coordinate planeycoordinateplanexycoordinateplanexA 2-dimensional system in whichthe coordinates of a point are itsdistances from two intersecting,usually perpendicular, straight linescalled axes. (Also called coordinategrid or coordinate system.)

coordinate systemcoordinatesystemcoordinatesystemyxAlso known as a coordinategrid. A2-dimensional system in whichthe coordinates of a point areits distances from twointersecting, usuallyperpendicular, straight linescalled axes.

coordinates(3, -5)coordinatescoordinates(x(3, -5)(x,y),y)An ordered pair ofnumbers that identify apoint on a coordinateplane.

cubecubecubeA three-dimensionalshape with six squarefaces.

dataNumber of School CarnivalTickets SolddataKindergarten1st Grade2nd Grade3rd Grade4th Grade5th Grade6th GradeNumber of School CarnivalTickets SolddataKindergarten1st Grade2nd Grade3rd Grade4th Grade5th Grade6th Grade22153491629112215349162911Information, especiallynumerical information.Usually organized foranalysis.

degree ofvisual overlapdegree ofvisual overlapdegree ofvisual overlapDescribes theseparation (or lackof separation)between twodistributions.

diagramA car travels 300 miles on 12 gallons of gas.300 0 milesA car travels 300 miles on 12 gallons of gas.300 milesdiagramA drawing thatrepresents galgalgal300 miles

Distributive ample:5(x 8) (5 x) (5 8)Example:5(x 8) (5 x) (5 8)a (b c) (a b) (a c) anda (b – c) (a b) – (a c),where a, b, and c stand for any realnumbers.

equationequationequation9x 3 4x - 79x 3 4x - 7A statement that showstwo mathematicalexpressions are equal.

equilateral triangleequilateraltriangleequilateraltriangleA triangle whose sides areall the same length.

estimateestimateestimateHow many jelly beansare in the jar?How many jellybeans are in the jar?To find a number closeto an exact amount; anestimate tells abouthow much or abouthow many.

evaluate42 – 13 nevaluateevaluaten 2942 – 13 nTo find the value of amathematical expression.n 29

eventWhat is the probability ofdrawing a five of diamondsout of a set of playing cards?eventeventP(5 of diamonds) What is the probability ofdrawing a five of diamondsout of a set of playing cards?P(5 of diamonds) 152152A set of outcomes towhich a probability isassigned.

expressionexpressionexpression5x 35x 3A variable or combinationof variables, numbers, andsymbols that represents amathematical relationship.

factor2 6 12factorfactorfactors2 6 12factorsAn integer that dividesevenly into another.

345678910Tallyllllllllllllllllll l lllllllllFrequency1131456531The number oftimes an eventoccurs within aspecific timeperiod.

geometric figuregeometricfiguregeometricfigureAny combination ofpoints, lines, planes, orcurves in two or threedimensions.

graphStudents Taking Busgraph1201008060402005th Grade 6th Grade 7th Grade 8th GradeStudents Taking Busgraph120100806040200A pictorial device used toshow a numericalrelationship.5th Grade 6th Grade 7th Grade 8th Grade

gratuitiesSamantha paid thewaiter a 7.50 tipfor the deliciousdinner he served.gratuitiesgratuitiesSamantha paid thewaiter a 7.50 tipfor the deliciousdinner he served.Something givenvoluntarily or beyondobligation usually forsome service: tip.

inequalityinequality5x 6 20 – 2x5x 6 20 – 2xinequalityA mathematical sentence thatcompares two unequalexpressions using one of thesymbols , , , , or .

inferencesinferencesinferencesEvery 10 years, the United StatesCensus Bureau surveys the entireUnited States and organizes allthe data they collect. Thegovernment then uses statistics toorganize and analyze the data tomake logical conclusions aboutwhat kind of things may happen tous in the future.Every 10 years, the UnitedStates Census Bureausurveys the entire UnitedStates and organizes allthe data they collect. Thegovernment then usesstatistics to organize andanalyze the data to makelogical conclusions aboutwhat kind of things mayhappen to us in the future.The act or processof deriving logicalconclusions frompremises known orassumed to be true.

integersSTARTintegersintegersSTARTThe set of wholenumbers and theiropposites.

isosceles triangleisoscelestriangleisoscelestriangleA triangle that has at leasttwo congruent sides.

likely eventlikelyeventlikelyeventP(number 5) 4 2 6 3An event that is mostlikely to happen.P(number 5) 4 2 6 3

long divisionlongdivisionlongdivision332 R 023 7636-6973-6946-460332 R 023 7636-6973-6946-460A standard proceduresuitable for dividing simpleor complex multi-digitnumbers.

markdownsAn item originally priced at 55 is marked25% off. What is the sale price?First, I'll find the markdown. Themarkdown is 25% of the original priceof 55, so:markdownsx (0.25)(55) 13.75By subtracting this markdown from theoriginal price, I can find the sale price:55 – 13.75 41.25The sale price is 41.25.An item originally priced at 55 ismarked 25% off. What is the sale price?markdownsFirst, I'll find the markdown. Themarkdown is 25% of the originalprice of 55, so:x (0.25)(55) 13.75By subtracting this markdown fromthe original price, I can find the saleprice:55 – 13.75 41.25The sale price is 41.25.The amount bywhich a price isreduced.

markupsmarkupsA computer software retailer used a markuprate of 40%. Find the selling price of acomputer game that cost the retailer 25.The markup is 40% of the 25 cost, sothe markup is:(0.40)(25) 10Then the selling price, being the cost plusmarkup, is:25 10 35The item sold for 35. A 10 profit.A computer software retailer used a markuprate of 40%. Find the selling price of acomputer game that cost the retailer 25.markupsThe markup is 40% of the 25 cost, sothe markup is:(0.40)(25) 10Then the selling price, being the costplus markup, is:25 10 35The item sold for 35. A 10 profit.An amount added to thecost price to determinethe selling price;broadly: profit

mean absolutedeviationStep 1: Find the mean. (56 78 88)/3 74mean absolutedeviationmeanabsolutedeviationStep 2: Determine the deviation of eachvariable from the mean.56 – 74 -1878-74 490-74 16The weights of the threepeople are 56 kgs, 78kgs, and 88 kgs.Step 3: Make the deviation ‘absolute’ bytaking the absolute value of each deviation.(eliminate the negative)Step 4: (18 4 16)/3 12.67 is the meanabsolute deviation.Step 1: Find the mean. (56 78 88)/3 74Step 2: Determine the deviation of eachvariable from the mean.56 – 74 -1878-74 490-74 16The weights of thethreepeople are 56 kgs, 78kgs, and 88 kgs.Step 3: Make the deviation ‘absolute’ bytaking the absolute value of each deviation.(eliminate the negative)Step 4: (18 4 16)/3 12.67 is the meanabsolute deviation.In statistics, theabsolute deviation of anelement of a data set isthe absolute differencebetween that elementand a given point.

measure of centerExamples:measureof centermeasureof centerxxxxxxxxxxxxxxxxxxxxxMode 1xxxxxxNumber of PetsExamples:xxxxxMode 1xxxxxxNumber of PetsMedian 2xMean 2.3xMedian 2Mean 2.3An average; a single valuethat is used to represent acollection of data. Threecommonly used types ofaverages are mode, median,and mean. (Also calledmeasures of central tendencyor measures of average.)