Algebra & Trigonometry. Glossary. High School Level. English / Nepali
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1 High School Level Glossary Algebra & Trigonometry Glossary English / Nepali Translation of Algebra & Trigonometry terms based on the Coursework for Algebra & Trigonometry Grades 9 to 12. Word-for-word glossaries are used for testing accommodations for ELL/LEP students THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Last Updated: November 2016
2 GLOSSARY LANGUAGE ARTS SPANISH THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY P 16 Office of Elementary, Middle, Secondary and Continuing Education and Office of Higher Education Office of Bilingual Education and Foreign Language Studies THE UNIVERSITY OF THE STATE OF NEW YORK Regents of the University BETTY A. ROSA, Chancellor, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D.... Bronx T. ANDREW BROWN, Vice Chancellor, B.A., J.D.... Syracuse NAN EILEEN MEAD, B.A.... Manhattan JOSEPHINE VICTORIA FINN, B.A., J.D.... Albany BEVERLY L. OUDERKIRK, B.S., M.S.... Saratoga ELIZABETH. S. HAKANSON... Onondaga CATHERINE COLLINS, B.S., M.S., Ph.D.... West New York JAMES R. TALLON, R., B.A., M.A.... Binghamton ROGER TILLES, B.A., J.D... Great Neck JUDITH JOHNSON, B.A., M.A., Ed.D.... Mid-Hudson LUIS O. REYES, B.A., M.A., Ph.D.... New York LESTER W. YOUNG, JR., B.S., M.S., Ed. D.... Oakland Gardens CHRISTINE D. CEA, B.A., M.A., Ph.D.... Staten Island WADE S. NORWOOD, B.A.... Rochester JUDITH CHIN, B.S., M.S.,... Queens KATHLEEN M. CASHIN, B.S., M.S., Ed.D... Brooklyn JAMES E. COTTRELL, B.S., M.D... New York Commissioner of Education President of The University of the State of New York MARYELLEN ELIA Executive Deputy Commissioner ELIZABETH BERLIN The State Education Department does not discriminate on the basis of age, color, religion, creed, disability, marital status, veteran status, national origin, race, gender, genetic predisposition or carrier status, or sexual orientation in its educational programs, services and activities. Portions of this publication can be made available in a variety of formats, including Braille, large print or audio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Department s Office for Diversity, Ethics, and Access, Room 530, Education Building, Albany, NY Requests for additional copies of this publication may be made by contacting the Publications Sales Desk, Room 319, Education Building, Albany, NY NYS LANGUAGE RBE RN AT NYU PAGE
3 Problem Solving algebraically alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically observe parameter strategy verbally Reasoning and Proof argument axiom conclusion conjecture counterexample discover exact answer explain explore general case inductive reasoning Informal indirect proof समस य सम ध न ब जग णत य र पम व क ल पक द ष टक ण सहक यर कम ज क टर कन सट र न ट सम समप रम ण म ल य ङ कन गन र ह स व य ख य गन र ह स स त रबद ध गन र स म न य करण र ख - चत रद व र अथर स पष ट प न र ह स बह प रस त त करण सङ ख य त मक र पम अवल कन गन र ह स प र म त रणन त म खक र पम तकर र प रम ण वव द प वर म न य नष कषर कम ज क टर उद हरणद व र खण डन आ वष क र गन र ह स व स त वक उत तर व य ख य गन र ह स अन व षण गन र ह स स म न य अवस थ वव चन त मक तकर अन पच रक अप रत य प रम ण
4 investigate justify refute specific result theorem Communication अन सन ध न गन र ह स प रम णत गन र ह स गलत प रम णत गन र ह स नरप प रण म स ध य सञ च र accuracy appropriate challenge chart coherent comprehension conjecture decoding diagram equation formula function graph interpretation logical argument mathematical representation numerical tables organize outline rationale reflect standard notation strategy symbol technical writing terminology validity verbal explanation श द धत उ चत च न त चत रपट स स गत ब ध कम ज क टर डक डङ आक त सम करण स त र फलन र ख चत र अन व दन त कर क वव द ग णत य प रस त त करण सङ ख य त मक त लक हर व यव स थत गन र ह स र पर ख अन प तक प र त बम ब गन र ह स स तर य स क त रणन त स क त प र व धक ल खन शब द वल व धत म खक व य ख य
5 written explanation Connections ल खत व य ख य सम बन ध concept conclusion formulate multiple representation physical model procedure quantitative model representation अवध रण नष कषर स त रबद ध गन र ह स बह प रस त त करण भ तक म ड ल प र क रय प रम ण त मक म ड ल प रस त त करण Representation algebraic representation apply chart communicate compare concept diagram equation explore graph graphical representation investigate mathematical phenomena multiple representations organize physical object physical phenomena recognize record social phenomena symbol table प रस त त करण ब जग णत य प रस त त करण ल ग गन र ह स चत रपट सञ च र गन र ह स त लन गन र ह स अवध रण आक त सम करण अन व षण गन र ह स र ख चत र र ख चत रक प रस त त करण अन सन ध न गन र ह स ग णत य घटन बह प रस त त करणहर व यव स थत गन र ह स भ तक वस त भ तक घटन प हच न गन र ह स र कडर गन र ह स स म जक घटन स क त त लक
6 technology translate प र व ध अन व द गन र ह स Number Sense and Operations सङ ख य च तन र सञ च लनहर a+bi form absolute value complex fraction complex number conjugate direct variation e fractional exponent a+bi र प नरप म न ज टल भन न ज टल सङ ख य अन म न गन र ह स प रत य वचरण e भन न त मक घ त ङ क imaginary number क ल प नक सङ ख य index of a radical inverse variation irrational number negative exponent nth root operation pi powers of i principal square root procedure radical radical form radicand rational number rationalize a denominator real number scientific notation sigma sigma notation रडकलक अन क रम णक उल ट वचरण आन प तक सङ ख य नक र त मक घ त ङ क औ म ल सङ ख य सञ च लन प इ i क प वरहर प रम ख वगर म ल प र क रय र डकल र डकल स वर प र डक य ण ड आन प तक सङ ख य हरल ई आन प तक गन र ह स व स त वक सङ ख य व नक स क त सग म सग म स क त Algebra ब जग णत
7 abscissa absolute value absolute value equation absolute value function absolute value inequality adjacent angles adjacent sides algebraic expression algebraic representation ambiguous case amplitude analyze angle angle in standard position angle of depression angle of elevation antilogarithm approximate value arc length arc cosine arc sine arc tangent area of a parallelogram using SAS area of a triangle using SAS arithmetic sequence arithmetic series asymptote base base of a logarithmic function base of an exponential function binomial expansion binomial theorem center-radius equation of a circle central angle ए ब सस स नरप म न नरप म न सम करण नरप म न फलन नरप म न असम नत आसन न क णहर आसन न भ ज हर ब जग णत य अ भव यञ जक ब जग णत य प रस त त करण अस पष ट अवस थ आय म वश ल षण गन र ह स क ण म नक स थ नम भएक क ण तज क ण धर तल क ण ए न टल ग रदम अन म नत म न च पक लम ब ई च प क स इन च प स इन च प स पशर SAS प रय ग गर सम न न तर चत भ र जक त र SAS प रय ग गर त रभ जक त र अङ कग णत य अन क रम अङ कघ णत य श र ण ए सम ट ट आध र लघ ग णक फलनक आध र घ त ङ क फलनक आध र द वपद य वस त र द वपद य सद ध न त व त तक क न द र-अधर व य स सम करण क न द र य क ण
8 circle circular functions coefficient cofunctions common base (s) common difference common factor common logarithm common ratio completing the square complex fractional expressions compositions of functions compound interest constant function cosecant cosine cotangent degree of a polynomial difference of two perfect squares direct variation discriminant domain double and half angle formulas for trigonometric function double root e equation equivalent forms exact value expand a binomial explicit definition exponential form exponential function extraneous root factor व त त व त त क र फलनहर ग ण ङ क सह-फलनहर स झ आध र (हर ) स झ भन नत स झ ग णनखण ड स झ लघ ग णक स झ अन प त वगर प र गन ज टल प रभ ज अ भव यञ जनहर फलनहर क मश रणहर चक र य ब य ज अचल फलन क स क न ट क स इन क ट य न ज न ट बह पद यक डग र द ई प णर वगर हर क भन नत प रत य वचरण वभ दक त रहर त रक ण मत य फलनक द ह र र अधर क ण द ह र वगर e सम करण समप रम ण स वर पहर व स त वक म न द वपदल ई वस त र गन र ह स स स पष ट प रभ ष घ त ङ क स वर प घ त ङ क फलन असम बद ध वगर ग णनखण ड
9 fractional exponent frequency (of a periodic function) function function notation geometric sequence geometric series graphical solution of equations greatest common factor (GCF) growth factor half-life i identities initial side of an angle inverse function inverse trigonometric functions inverse variation law of Cosines laws of Sines laws of exponents laws of logarithms linear equation linear expression linear systems logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nth term one cycle of a trigonometric function one-to-one function onto opposite side in a right triangle ordinate भन न त मक घ त ङ क आव त त (आव धक फलनक ) फलन फलन सङ क तन ग ण त तर अन क रम ज य मत य श र ण सम करणहर क र ख चत रद व र सम ध न महत तम सम पवतर क (GCF) व द ध क रक ह फ-ल इफ i प हच नहर क णक प र र म भक भ ज हर उल ट फलन उल ट त रक ण मत य फलनहर उल ट वचरण क स इनहर क नयमहर स इनहर क नयमहर घ त ङ कहर क नयमहर लघ ग णकक नयमहर र ख य सम करण र ख य अ भव यञ जन र ख य प रण ल हर लघ ग णक लघ ग णक स वर प सब भन द तल ल पदहर म ल सङ ख य हर क प रक त नक र त मक घ त ङ क औ म ल औ पद त रक ण मत य फलनक एक चक र एक-द ख-एक फलन म समक ण त रभ जक वप रत भ ज हर समपद
10 parabola parameter period (of a function) periodic function phase shift polynomial expression polynomial function Powers of i Pythagorean identities quadrant angle quadratic equation quadratic formula quadratic inequality quadratic trinomial radius range (of a function) rational coefficient rational equation rational expression rational inequality rationalize denominators reciprocal trigonometric functions recursive definition reference angle relation replacement represent restricted domain resultant right triangle trigonometry root of an equation secant (of an angle) sigma notation sine प र ब ल प र म त अव ध (फलनक ) आव धक फलन अवस थ वस थ पन बह पद य अ भव यञ जन बह पद य फलन i क प वरहर प इथ ग रयन प हच नहर चत थ श क ण चत थ श सम करण चत थ श स त र चत थ श असम नत चत थ श ट र इन मयल अधर व य स वस त र (फलनक ) आन प तक ग ण ङ क आन प तक सम करण आन प तक अ भव यञ जन आन प तक असम नत हरहर ल ई आन प तकरण गन र ह स व य त क रम त रक ण मत य फलनहर प नर वत प रभ ष सन दभर क ण सम बन ध प र तस थ पन प रस त त प र तब न धत त र प रण म समक ण त रभ ज त रक ण मत य सम करणक म ल छ दक (क णक ) सग म सङ क तन स इन
11 solution set standard position (of an angle) subset sum and product or roots of a quadratic equation sum of an arithmetic series sum of a geometric series systems of equations/inequalities tangent (of an angle) technology terminal side of an angle transformation transformations of functions and relations trigonometric equation trigonometric functions unit circle variable vector vertical line test zero of a function zero product property Geometry absolute value absolute value equation absolute value inequality angle in standard position angle of depression angle of elevation area of a parallelogram using SAS area of a triangle using SAS circle coefficient function generalize geometric representation of a circular function सम ध न स ट म नक स थ त (क णक ) उप-स ट चत थ श सम करणक ज ड र ग णनफल व म ल अ कग णत य श र ण क ज ड ज य मत य श र ण क ज ड सम करणहर /असम नत हर क प रण ल हर स पशर (क णक ) प र व ध क णक वप रत भ ज र प न तरण फलन र सम बन धहर क र प न तरणहर त रक ण मत य सम करण त रक ण मत य फलनहर एक इ व त त चर भ क टर ठ ड र ख ज च फलनक श न य श न य ग णनफल ग ण ज य म त नरप म न नरप म न सम करण नरप म न असम नत म नक स थ नम भएक क ण अवन नत क ण उन नत क ण SAS प रय ग गर सम न न तर चत भ र जक त र SAS प रय ग गर त रभ जक त र व त त ग ण ङ क फलन स म न य करण गन र ह स व त त क र फलनक ज य मत य प रस त त करण
12 graph of a relation graphical representation graphical solution of equations investigate ordered pair parabola rational coefficient rectangular coordinates relation root of an equation sector of a circle slope triangle vertex visualization Measurement arc length degree measure measure of central angle minute radian measure Statistics and Probability at least at most Bernoulli experiments biased sample bimodal binomial probability formula bivariate data central tendency combination compound event conjecture सम बन धक र ख चत र र ख चत रक प रस त त करण सम करणहर क ज य मत य सम ध न अन सन ध न गन र ह स क रमगत ज ड प र ब ल आन प तक ग ण ङ क चत भ र ज नद श ङ कहर सम बन ध सम करणक म ल व त तक खण ड झ क व त रभ ज श षर बन द द ष तगत न प च पक लम ब ई ड रग न प क न द र य क णक न प मन ट र डयन न प तथ य ङ क र सम भ व यत कम त म बढ म बन ल ल पर णहर प प तप णर नम न ब इम डल द वपद सम भ व यत स त र द वचर ड ट क न द र य प रव त त स य जन य गक फल कन ज क टर
13 controlled experiment correlation coefficient counting principle exactly experimental probability extrapolate frequency (of a data set) frequency distribution grouped frequency distribution index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measure of dispersion median mode normal curve normal distribution observation outlier Pascal s triangle percentile permutation probability quartiles random sample range (of a data set) regression equation regression model sample space नय न त रत पर ण सहसम बन ध ग ण ङ क गणन सद ध न त यथ थर प र य गक सम भ व यत एक सट र प ल ट (ड ट स टक ) आव त त आव त त वतरण सम ह क त आव त त वतरण तथ य ङ कम स चक इन टरप ल ट अन तर -चत थर क वस त र लस ट स क व यर रग र सन र ख उत क ष ट मल नक र ख र ख य रग र सन मध यम क न द र य प रव त तक न प डस पसर नक न प म ध यक म ड स म न य वक र स म न य वतरण अवल कन आउ लअर प स कलक त रभ ज प र तशतक प रवतर न सम भ व यत चत थर कहर अ नय मत नम न वस त र (ड ट स टक ) रग र सन सम करण रग र सन म ड ल नम न स थ न
14 scatter plot standard deviation (population) standard deviation (sample) statistics survey technology theoretical probability univariate data variance (population) variance (sample) फ लन स थ न स तर य भन नत (जनसङ ख य ) स तर य भन नत (नम न ) तथ य ङ क सव ण प र व ध स द ध न तक सम भ व यत एक पद य ड ट भ रयन स (जनसङ ख य ) भ रयन स (नम न )
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