Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English...

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High School Level Algebra & Trigonometry Glossary English / Nepali Glossar y 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 Last Updated: November 2016 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

Transcript of Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English...

Page 1: Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English / Nepali y Translation of Algebra & Trigonometry terms based on the Coursework

High School Level

Algebra & TrigonometryGlossary

English / Nepali

Glossary

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

Last Updated: November 2016

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

Page 2: Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English / Nepali y Translation of Algebra & Trigonometry terms based on the Coursework

NYS LANGUAGE RBE‐RN AT NYU  PAGE 1  2012 

GLOSSARY  ENGLISH LANGUAGE ARTS  ENGLISH ‐ SPANISH

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

P‐16 Office of Elementary, Middle, Secondary and Continuing Education and Office of Higher Education 

Office of Bilingual Education and Foreign Language Studies http://www.emsc.nysed.gov/biling/ 

 

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

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

NYS Statewide Language RBERN

ENGLISH NEPALI

Problem Solving समस्या समाधान

algebraically बीजग�णतीय रूपमा alternate approach वकैिल्पक दृिष्टकोण collaborate सहकायर् conjecture कम्जके्टर constraint कन्सटे्रन्ट critique समी�ा equivalent समप�रमाण evaluate मलू्याङ्कन गनुर्होस ्explain व्याख्या गनुर्होस ्formulate सतू्रबद्ध गनुर् generalization सामान्यीकरण graphically रेखा-�चत्रद्वारा interpret अथर् स्पष्ट पानुर्होस ्multiple representations बहु प्रस्ततुीकरण numerically सङ्ख्यात्मक रूपमा observe अवलोकन गनुर्होस ्parameter प�र�म�त strategy रणनी�त verbally मौ�खक रूपमा

Reasoning and Proof तकर् र प्रमाण

argument �ववाद axiom पवूर्मान्य conclusion �नष्कषर् conjecture कम्जके्टर counterexample उदाहरणद्वारा खण्डन discover आ�वष्कार गनुर्होस ्exact answer वास्त�वक उत्तर explain व्याख्या गनुर्होस ्explore अन्वेषण गनुर्होस ्general case सामान्य अवस्था inductive reasoning �ववेचनात्मक तकर् Informal indirect proof अनौपचा�रक अप्रत्य� प्रमाण

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

NYS Statewide Language RBERN

ENGLISH NEPALI investigate अनसुन्धान गनुर्होस ्justify प्रमा�णत गनुर्होस ्refute गलत प्रमा�णत गनुर्होस ्specific result �नरपे� प�रणाम theorem साध्य

Communication सञ्चार

accuracy शदु्धता appropriate उ�चत challenge चुनौती chart �चत्रपट coherent ससुगंत comprehension बोध conjecture कम्जके्टर decoding �डको�डङ diagram आकृ�त equation समीकरण formula सतू्र function फलन graph रेखा�चत्र interpretation अनवुादन logical argument ता�कर् क �ववाद mathematical representation ग�णतीय प्रस्ततुीकरण numerical tables सङ्ख्यात्मक ता�लकाहरू organize व्यविस्थत गनुर्होस ्outline रूपरेखा rationale अनपुा�तक reflect प्र�त�बम्ब गनुर्होस ्standard notation स्तर�य सकेंत strategy रणनी�त symbol सकेंत technical writing प्रा�व�धक लेखन terminology शब्दावल� validity वधैता verbal explanation मौ�खक व्याख्या

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI written explanation �ल�खत व्याख्या

Connections सम्बन्ध

concept अवधारणा conclusion �नष्कषर् formulate सतू्रबद्ध गनुर्होस ्multiple representation बहु प्रस्ततुीकरण physical model भौ�तक मोडले procedure प्र�क्रया quantitative model प�रमाणात्मक मोडले representation प्रस्ततुीकरण

Representation प्रस्तुतीकरण

algebraic representation बीजग�णतीय प्रस्ततुीकरण apply लाग ूगनुर्होस ्chart �चत्रपट communicate सञ्चार गनुर्होस ्compare तलुना गनुर्होस ्concept अवधारणा diagram आकृ�त equation समीकरण explore अन्वेषण गनुर्होस ्graph रेखा�चत्र graphical representation रेखा�चत्रको प्रस्ततुीकरण investigate अनसुन्धान गनुर्होस ्mathematical phenomena ग�णतीय घटना multiple representations बहू प्रस्ततुीकरणहरू organize व्यविस्थत गनुर्होस ्physical object भौ�तक वस्त ुphysical phenomena भौ�तक घटना recognize प�हचान गनुर्होस ्record रेकडर् गनुर्होस ्social phenomena सामािजक घटना symbol सकेंत table ता�लका

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI technology प्र�व�ध translate अनवुाद गनुर्होस ्

Number Sense and Operations सङ्ख्या चेतना र सञ्चालनहरू

a+bi form a+bi रूप absolute value �नरपे� मान complex fraction ज�टल �भन्न complex number ज�टल सङ्ख्या conjugate अनमुान गनुर्होस ्direct variation प्रत्य� �वचरण

e e fractional exponent �भन्नात्मक घाताङ्क ¡ ¡ imaginary number काल्प�नक सङ्ख्या index of a radical रडकलक अनकु्रम�णका inverse variation उल्टो �वचरण irrational number आनपुा�तक सङ्ख्या negative exponent नकारात्मक घाताङ्क nth root औ ंमलू सङ्ख्या operation सञ्चालन pi पाइ powers of i i का पावरहरू principal square root प्रमखु वगर् मलू procedure प्र�क्रया radical रे�डकल radical form रे�डकल स्वरूप radicand रे�डक्याण्ड rational number आनपुा�तक सङ्ख्या rationalize a denominator हरलाई आनपुा�तक गनुर्होस ्real number वास्त�वक सङ्ख्या scientific notation व�ैा�नक सकेंत sigma �सग्मा sigma notation �सग्मा सकेंत

Algebra बीजग�णत

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI abscissa एिब्सस्सा absolute value �नरपे� मान absolute value equation �नरपे� मान समीकरण absolute value function �नरपे� मान फलन absolute value inequality �नरपे� मान असमानता adjacent angles आसन्न कोणहरू adjacent sides आसन्न भजुाहरू algebraic expression बीजग�णतीय अ�भव्यञ्जक algebraic representation बीजग�णतीय प्रस्ततुीकरण ambiguous case अस्पष्ट अवस्था amplitude आयाम analyze �वश्लेषण गनुर्होस ्angle कोण angle in standard position मानक स्थानमा भएको कोण angle of depression ���तज कोण angle of elevation धरातल कोण antilogarithm एिन्टलोगा�रदम approximate value अनमुा�नत मान arc length चापको लम्बाई arc cosine चाप कोसाइन arc sine चाप साइन arc tangent चाप स्पशर् area of a parallelogram using SAS SAS प्रयोग गर� समानान्तर चतभुुर्जको �ेत्र area of a triangle using SAS SAS प्रयोग गर� �त्रभजुको �ते्र arithmetic sequence अङ्कग�णतीय अनकु्रम arithmetic series अङ्कघ�णतीय शे्रणी asymptote ए�सम्टोट base आधार base of a logarithmic function लघगुणुक फलनको आधार base of an exponential function घाताङ्क फलनको आधार binomial expansion द्�वपद�य �वस्तार binomial theorem द्�वपद�य �सद्धान्त center-radius equation of a circle वतृ्तको केन्द्र-अधर्व्यास समीकरण central angle केन्द्र�य कोण

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI circle वतृ्त circular functions वतृ्ताकार फलनहरू coefficient गणुाङ्क cofunctions सह-फलनहरू common base (s) साझा आधार (हरू) common difference साझा �भन्नता common factor साझा गणुनखण्ड common logarithm साझा लघगुणुक common ratio साझा अनपुात completing the square वगर् परूा गन� complex fractional expressions ज�टल प्रभाजी अ�भव्यञ्जनहरू compositions of functions फलनहरूका �मश्रणहरू compound interest चक्र�य ब्याज constant function अचल फलन cosecant कोसेकान्ट cosine कोसाइन cotangent कोट्यान्जेन्ट degree of a polynomial बहुपद�यको �डग्री difference of two perfect squares दईु पणूर् वगर्हरूको �भन्नता direct variation प्रत्य� �वचरण discriminant �वभेदक domain �ेत्रहरू double and half angle formulas for trigonometric function

�त्रकोण�मतीय फलनका दोहोरो र अधर् कोण

double root दोहोरो वगर् e e equation समीकरण equivalent forms समप�रमाण स्वरूपहरू exact value वास्त�वक मान expand a binomial द्�वपदलाई �वस्तार गनुर्होस ्explicit definition ससु्पष्ट प�रभाषा exponential form घाताङ्क स्वरूप exponential function घाताङ्क फलन extraneous root असम्बद्ध वगर् factor गणुनखण्ड

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI fractional exponent �भन्नात्मक घाताङ्क frequency (of a periodic function) आविृत्त (आव�धक फलनको) function फलन function notation फलन सङ्केतन geometric sequence गणुोत्तर अनकु्रम geometric series ज्या�मतीय शे्रणी graphical solution of equations समीकरणहरूको रेखा�चत्रद्वारा समाधान greatest common factor (GCF) महत्तम समापवतर्क (GCF) growth factor व�ृद्ध कारक half-life हाफ-लाइफ i i identities प�हचानहरू initial side of an angle कोणको प्रारिम्भक भजुाहरू inverse function उल्टो फलन inverse trigonometric functions उल्टो �त्रकोण�मतीय फलनहरू inverse variation उल्टो �वचरण law of Cosines कोसाइनहरूका �नयमहरू laws of Sines साइनहरूका �नयमहरू laws of exponents घाताङ्कहरूका �नयमहरू laws of logarithms लघगुणुकका �नयमहरू linear equation रेखीय समीकरण linear expression रेखीय अ�भव्यञ्जन linear systems रेखीय प्रणाल�हरू logarithm लघगुणुक logarithmic form लघगुणुक स्वरूप lowest terms सबभैन्दा तल्ला पदहरू nature of the roots मलू सङ्ख्याहरूका प्रकृ�त negative exponent नकारात्मक घाताङ्क nth root औ ंमलू nth term औ ंपद one cycle of a trigonometric function �त्रकोण�मतीय फलनको एक चक्र one-to-one function एक-दे�ख-एक फलन onto मा opposite side in a right triangle समकोणी �त्रभजुको �वप�रत भजुाहरू ordinate समपद

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI parabola पाराबोला parameter प�र�म�त period (of a function) अव�ध (फलनको) periodic function आव�धक फलन phase shift अवस्था �वस्थापन polynomial expression बहुपद�य अ�भव्यञ्जन polynomial function बहुपद�य फलन Powers of i i का पावरहरू Pythagorean identities पाइथागो�रयन प�हचानहरू quadrant angle चतथुा�श कोण quadratic equation चतथुा�श समीकरण quadratic formula चतथुा�श सतू्र quadratic inequality चतथुा�श असमानता quadratic trinomial चतथुा�श ट्राइनो�मयल radius अधर्व्यास range (of a function) �वस्तार (फलनको) rational coefficient आनपुा�तक गणुाङ्क rational equation आनपुा�तक समीकरण rational expression आनपुा�तक अ�भव्यञ्जन rational inequality आनपुा�तक असमानता rationalize denominators हरहरूलाई आनपुा�तकरण गनुर्होस ्reciprocal trigonometric functions व्यतु्क्रम �त्रकोण�मतीय फलनहरू recursive definition पनुरावत� प�रभाषा reference angle सन्दभर् कोण relation सम्बन्ध replacement प्र�तस्थापन represent प्रस्ततु restricted domain प्र�तबिन्धत �ते्र resultant प�रणाम right triangle trigonometry समकोण �त्रभजु �त्रकोण�मतीय root of an equation समीकरणको मलू secant (of an angle) छेदक (कोणको) sigma notation �सग्मा सङ्केतन sine साइन

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI solution set समाधान सेट standard position (of an angle) मानक िस्थ�त (कोणको) subset उप-सेट sum and product or roots of a quadratic equation चतथुा�श समीकरणको जोड र गणुनफल वा मलू sum of an arithmetic series अकंग�णतीय शे्रणीको जोड sum of a geometric series ज्या�मतीय शे्रणीको जोड systems of equations/inequalities समीकरणहरू/असमानताहरूका प्रणाल�हरू tangent (of an angle) स्पशर् (कोणको) technology प्र�व�ध terminal side of an angle कोणको �वप�रत भजुा transformation रूपान्तरण transformations of functions and relations फलन र सम्बन्धहरूको रूपान्तरणहरू trigonometric equation �त्रकोण�मतीय समीकरण trigonometric functions �त्रकोण�मतीय फलनहरू unit circle एकाइ वतृ्त variable चर vector भेक्टर vertical line test ठाडो रेखा जाचँ zero of a function फलनको शनू्य zero product property शनू्य गणुनफल गणु

Geometry ज्या�म�त

absolute value �नरपे� मान absolute value equation �नरपे� मान समीकरण absolute value inequality �नरपे� मान असमानता angle in standard position मानक स्थानमा भएको कोण angle of depression अवन्नती कोण angle of elevation उन्नती कोण area of a parallelogram using SAS SAS प्रयोग गर� समानान्तर चतभुुर्जको �ेत्र area of a triangle using SAS SAS प्रयोग गर� �त्रभजुको �ते्र circle वतृ्त coefficient गणुाङ्क function फलन generalize सामान्यीकरण गनुर्होस ्geometric representation of a circular function वतृ्ताकार फलनको ज्या�मतीय प्रस्ततुीकरण

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ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

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ENGLISH NEPALI graph of a relation सम्बन्धको रेखा�चत्र graphical representation रेखा�चत्रको प्रस्ततुीकरण graphical solution of equations समीकरणहरूको ज्या�मतीय समाधान investigate अनसुन्धान गनुर्होस ्ordered pair क्रमगत जोडा parabola पाराबोला rational coefficient आनपुा�तक गणुाङ्क rectangular coordinates चतभुुर्ज �नद�शाङ्कहरू relation सम्बन्ध root of an equation समीकरणको मलू sector of a circle वतृ्तको खण्ड slope झुकाव triangle �त्रभजु vertex शीषर्�बन्द ुvisualization दृिष्तगत

Measurement नाप

arc length चापको लम्बाई degree measure �ड्रगी नाप measure of central angle केन्द्र�य कोणको नाप minute �मनेट radian measure रे�डयन नाप

Statistics and Probability तथ्याङ्क र सम्भाव्यता at least कम्तीमा at most बढ�मा Bernoulli experiments बन�ल्ल� पर��णहरू biased sample प�पातपणूर् नमनूा bimodal बाइमोडल binomial probability formula द्�वपद सम्भाव्यता सतू्र bivariate data द्�वचर डटेा central tendency केन्द्र�य प्रविृत्त combination सयंोजन compound event यौ�गक फल conjecture कन्जेक्टर

Page 13: Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English / Nepali y Translation of Algebra & Trigonometry terms based on the Coursework

ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

NYS Statewide Language RBERN

ENGLISH NEPALI controlled experiment �नयिन्त्रत पर��ण correlation coefficient सहसम्बन्ध गणुाङ्क counting principle गणना �सद्धान्त exactly यथाथर् experimental probability प्रायो�गक सम्भाव्यता extrapolate एक्सट्रापोलेट frequency (of a data set) (डटेा सेटको) आविृत्त frequency distribution आविृत्त �वतरण grouped frequency distribution समहू�कृत आविृत्त �वतरण index in statistics तथ्याङ्कमा सचूक interpolate इन्टरपोलेट interquartile range अन्तर-्चतथुर्क �वस्तार least squares regression line �लस्ट स्क्वायर �रगे्रसन रेखा line of best fit उत्कृष्ट �मलानको रेखा linear regression रेखीय �रगे्रसन mean मध्यमा measure of central tendency केन्द्र�य प्रविृत्तको नाप measure of dispersion �डस्पसर्नको नाप median मिध्यका mode मोड normal curve सामान्य वक्र normal distribution सामान्य �वतरण observation अवलोकन outlier आउ�लअर Pascal’s triangle पास्कलको �त्रभजु percentile प्र�तशतक permutation प�रवतर्न probability सम्भाव्यता quartiles चतथुर्कहरू random sample अ�नय�मत नमनूा range (of a data set) �वस्तार (डटेा सेटको) regression equation �रगे्रसन समीकरण regression model �रगे्रसन मोडले sample space नमनूा स्थान

Page 14: Algebra & Trigonometry y Glossar...High School Level Algebra & Trigonometry Glossary Glossar English / Nepali y Translation of Algebra & Trigonometry terms based on the Coursework

ALGEBRA & TRIGONOMETRY – HIGH SCHOOL LEVEL

NYS Statewide Language RBERN

ENGLISH NEPALI scatter plot फै�लने स्थान standard deviation (population) स्तर�य �भन्नता(जनसङ्ख्या) standard deviation (sample) स्तर�य �भन्नता(नमनूा) statistics तथ्याङ्क survey सव��ण technology प्र�व�ध theoretical probability सदै्धािन्तक सम्भाव्यता univariate data एक पद�य डटेा variance (population) भेरयन्स (जनसङ्ख्या) variance (sample) भे�रयन्स (नमनूा)