Glossary High School Level Algebra & Trigonometry Glossary English / Bengali 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: 08/10/09 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 Education - 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 MERRYL H. TISCH, Chancellor, B.A., M.A., Ed.D. ....................................................................... MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D. ......................................................... ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S. ............................................................... SAUL B. COHEN, B.A., M.A., Ph.D................................................................................................ JAMES C. DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................ ANTHONY S. BOTTAR, B.A., J.D. ................................................................................................... GERALDINE D. CHAPEY, B.A., M.A., Ed.D. ................................................................................. HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ........................................................................................... JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D......................................................... JAMES R. TALLON, JR., B.A., M.A. ............................................................................................... ROGER TILLES, B.A., J.D. ................................................................................................................ KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................ CHARLES R. BENDIT, B.A. ............................................................................................................. BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D..................................................... LESTER W. YOUNG, JR., B.S., M.S., Ed. D. ..................................................................................... CHRISTINE D. CEA, B.A., M.A., Ph.D. .......................................................................................... WADE S. NORWOOD, B.A. ............................................................................................................. New York Rochester Tonawanda New Rochelle Plattsburgh Syracuse Belle Harbor Hartsdale Albany Binghamton Great Neck Brooklyn Manhattan Bronx Oakland Gardens Staten Island Rochester Interim President of the University and Commissioner of Education CAROLE F. HUXLEY Senior Deputy Commissioner of Education, P–16 JOHANNA DUNCAN-POITIER Associate Commissioner for Curriculum and Instructional Support JEAN STEVENS Coordinator, Office of Bilingual Education and Foreign language Studies PEDRO J. RUIZ Acknowledgements: The New York State Education Department Glossaries for English Language Learners were reviewed and updated during the 2008-2009 school year. We would like to thank in these efforts the New York State Education Department Language BETACs (Spanish, Asian and Haitian Bilingual Education Technical Assistance Centers), the NYS Office of Curriculum, Instruction and Instructional Technology; the New York City Department of Education Office of English Language Learners, and the NYC Department of Education Translation and Interpretation Unit. 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 brailed, 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 12234. Algebra 2 and Trigonometry English Bengali Problem Solving mgm¨vmgvavb algebraically exRMvwYwZKfv‡e alternate approach weKí Kg©‡KŠkj collaborate mn‡hvwMZv Kiv conjecture Abygvb Kiv constraint eva¨evaKZv critique ch©v‡jvPbv Kiv equivalent mgZzj evaluate g~j¨vqb Kiv explain e¨vL¨v Kiv formulate m~ÎvKv‡i wjwce× Kiv generalization mvaviYxKiY graphically ˆiwLKfv‡e interpret wek` Kiv multiple representations GKvwaK Dc¯’vcb numerically mvswL¨Kfv‡e observe ch©‡eÿY Kiv parameter cwimxgv/gvÎv strategy Kg©‡KŠkj verbally †gŠwLKfv‡e hyw³ I cÖgvY Reasoning and Proof argument hyw³ axiom ¯^Ztwm× conclusion wm×všÍ conjecture Abygvb Kiv counterexample cvëv D`vniY discover Avwe®‹vi exact answer h_vh_ Dëi explain e¨vL¨v Kiv explore AbymÜvb Kiv T-7686 (Bengali) 1 Algebra 2 and Trigonometry English Bengali general case mvaviY bwRi inductive reasoning Av‡ivnx hyw³ informal indirect proof AbvbyôvwbK c‡ivÿ cÖgvY investigate AbymÜvb Kiv justify b¨vh¨Zv cÖwZcv`b Kiv refute LÐb Kiv specific result mywbw`©ó dj theorem Dccv`¨ †hvMv‡hvM Communication accuracy wbf©yjZv appropriate h_vh_ challenge wØgZ cÖKvk Kiv chart QK coherent mymgÄm comprehension aviYvkw³ conjecture Abygvb Kiv decoding m‡¼‡Zi cv‡Vv×vi diagram †iLvwPÎ equation mgxKiY formula m~Î function A‡cÿK graph †iLvwPÎ/MÖvd interpretation e¨vL¨vb logical argument hyw³ZK© mathematical representation MvwYwZK cÖKvk numerical tables mvswL¨K mviwYmg~n organize web¨vm Kiv outline DcwiwPÎ rationale †hŠw³KZv reflect cÖwZdjb standard notation mvaviY wPýgvjv T-7686 (Bengali) 2 Algebra 2 and Trigonometry English Bengali strategy Kg©‡KŠkj symbol cÖZxK technical writing cÖKiYMZ wjLb terminology cwifvlv validity ˆeaZv verbal explanation †gŠwLK e¨vL¨v written explanation wjwLZ e¨vL¨v ms‡hvM Connections concept aviYv conclusion wm×všÍ formulate m~ÎvKv‡i wjwce× Kiv multiple representation GKvwaK Dc¯’vcb physical model ev¯Íe g‡Wj procedure c×wZ quantitative model cwigvYMZ g‡Wj representation cÖwZwbwaZ¡ cÖKvk Representation algebraic representation exRMvwYwZK cÖKvk apply cÖ‡qvM chart QK communicate †hvMv‡hvM Kiv compare Zzjbv Kiv concept aviYv diagram †iLvwPÎ equation mgxKiY explore AbymÜvb Kiv graph †iLvwPÎ/MÖvd graphical representation ˆiwLK cÖKvk investigate AbymÜvb Kiv mathematical phenomena MvwYwZK Aefvm T-7686 (Bengali) 3 Algebra 2 and Trigonometry English Bengali multiple representations eû cÖwZwbwaZ¡ organize web¨vm Kiv physical object †fŠZ e¯‘ physical phenomena †fŠZ Aefvm recognize kbv³ Kiv record †iKW© social phenomena mvgvwRK Aefvm symbol cÖZxK table mviwY technology cÖhyw³ translate iƒcvšÍi msL¨vi aviYv I wµqv Number Sense and Operations a+bi form G+weAvB dg© absolute value Pig gvb complex fraction wgkª fMœv¼ complex number wgkª msL¨v conjugate AbyeÜx/AbyeÜ direct variation cÖZ¨ÿ †f`/wfbœZv e B fractional exponent AvswkK m~PK/NvZwPý i AvB imaginary number KwíZ msL¨v index of a radical m‡¼Zg~jK/cigvYy¸”Qm~PK inverse variation wecixZ †f` irrational number Ag~j` msL¨v negative exponent FYvZ¥K NvZwPý/m~PK nth root Gš’ iæU operation wµqv pi cvB powers of i AvB -Gi NvZ principal square root gyL¨ eM©g~j T-7686 (Bengali) 4 Algebra 2 and Trigonometry English Bengali procedure c×wZ radical g~jK/cigvYy¸”Q radical form AvK…wZg~jK radicand i¨vwWK¨vÛ rational number †hŠw³K msL¨v rationalize a denominator n‡ii KiYx wbimb Kiv real number ev¯Íe msL¨v scientific notation ˆeÁvwbK cÖZxK sigma wmMgv sigma notation wmMgv cÖZxK exRMwYZ Algebra abscissa f‚R/evû absolute value Pig gvb absolute value equation Pig gvb mgxKiY absolute value function Pig gvb A‡cÿK absolute value inequality Pig gvb AmgZv adjacent angles mwbœwnZ †KvYmg~n adjacent sides mwbœwnZ evûmg~n algebraic expression exRMvwYwZK ivwk algebraic representation exRMvwYwZK cÖKvk ambiguous case ب_©K `„óvšÍ amplitude we¯Ívi/Avqvg analyze we‡kølY Kiv angle †KvY angle in standard position cÖwgZ Aew¯’wZ †KvY angle of depression Abyf‚wg †KvY angle of elevation D”P‡KvY antilogarithm A¨vw›UjMvwi`g approximate value AvbygvwbK gvb arc length e„ËPv‡ci ˆ`N©¨ arccosine AvK©‡KvmvBb T-7686 (Bengali) 5 Algebra 2 and Trigonometry English Bengali arcsine AvK©mvBb arctangent AvK©U¨vb‡R›U area of a parallelogram using SAS evû-‡KvY evû e¨envi K‡i mvgšÍwiK †ÿ‡Îi AvqZb area of a triangle using SAS evû-‡KvY evû e¨envi K‡i wÎfz‡Ri AvqZb arithmetic sequence cvUxMvwYwZK µg arithmetic series cvUxMvwYwZK wmwiR asymptote A¨vwmg‡UvU/AbšÍ¯úk©x base wfwË base of a logarithmic function jMvwi`wgK dvskv‡bi wbavb base of an exponential function m~PK A‡cÿ‡Ki wbavb binomial expansion wØm¤úªmviY binomial theorem wØc`xq Dccv`¨ center-radius equation of a circle e„‡Ëi †K›`ª-e¨vmva© mgxKiY central angle †K›`ªxq †KvY circle e„Ë circular functions e„ËvKvi wµqv coefficient mnM cofunctions mnwµqv common base(s) mvaviY wfwËmg~n common difference mvaviY †f` common factor mvaviY ¸YbxqK common logarithm mvaviY jMvwi`g common ratio mvaviY AbycvZ completing the square eM© c~Y© Kiv complex fractional expressions wgkª AvswkK ivwk composition of functions mgš^qmvaK Dcv`vbmg~n/mswgkª A‡cÿK compound interest Pµe„w× my` constant function w¯’i/AcwieZ©bxq A‡cÿK cosecant †Kv‡mKv›U cosine †KvmvBb cotangent †KvU¨vb‡R›U coterminal angles cÖvwšÍK †KvYmg~n T-7686 (Bengali) 6 Algebra 2 and Trigonometry English Bengali degree of a polynomial eûc` ivwkgvjvi Ask difference of two perfect squares `ywU c~Y© eM©‡ÿ‡Îi cv_©K¨ direct variation cÖZ¨ÿ †f`/wfbœZv discriminant cÖ‡f`vZ¥K domain cwimi double and half angle formulas for w·Kv‡YvwgwZK A‡cÿ‡Ki `yB I Aa© †KvY m~Î trigonometric functions double root wØg~j e B equation mgxKiY equivalent forms mgZzj AvK…wZ exact value h_vh_ gvb expand a binomial wØc` m¤úªmviY explicit definition mywbw`©ó msÁv exponential form NvZwPým~~PK exponential function NvZwPý A‡cÿK extraneous root ewnt¯’ g~j factor ¸YbxqK fractional exponent AvswkK m~PK/NvZwPý frequency (of a periodic function) †cŠb:cywbKZv function A‡cÿK function notation A¼cvZb wµqv/A‡cÿK ms‡KZwPý geometric sequence R¨vwgwZK µg geometric series R¨vwgwZK wmwiR graphical solution of equations mgxKi‡Yi ˆiwLK mgvavb greatest common factor (GCF) Mwiô mvaviY ¸YbxqK (Mmv¸) growth factor †MÖv_ d¨v±i half-life Aa©-Rxeb horizontal-line test Avbyf‚wgK ˆiwLK cixÿv i AvB identities A‡f` me©mgZv initial side of an angle †Kv‡Yi cÖviw¤¢K evû T-7686 (Bengali) 7 Algebra 2 and Trigonometry English Bengali inverse function wecixZ A‡cÿK inverse trigonometric functions wecixZ w·Kv‡YvwgwZK A‡cÿK inverse variation wecixZ wfbœZv Law of Cosines †KvmvBb m~Î Law of Sines mvBb m~Î laws of exponents NvZ m~Î laws of logarithms jMvwi`g m~Î linear equation GK‰iwLK mgxKiY linear expression GK‰iwLK cÖKvk linear system GK‰iwLK e¨e¯’v logarithm jMvwi`g logarithmic form jMvwi`wgK dg© lowest terms jwNô gvb nature of the roots g~‡ji cÖK…wZ negative exponent FYvZ¥K NvZwPý/m~PK nth root Gš’ iæU nth term Gš’ Uvg© one cycle of a trigonometric function w·Kv‡YvwgwZK A‡cÿ‡Ki GKPµ one-to-one function G‰KK A‡cÿK onto mgvavb opposite side in a right triangle mg‡KvYx wÎfz‡Ri wecixZ evû ordinate †KvwU parabola Awae„Ë parameter cwimi period (of a function) AveZ©Kvj (A‡cÿ‡Ki) periodic function ch©vqe„Ë A‡cÿK phase shift †dR wkdU polynomial expression eûc` ivwkgvjvq cÖKvk polynomial function eûc` ivwkgvjvi A‡cÿK powers of i AvB Gi NvZ Pythagorean identities cvB_v‡Mvwiqvb A‡f` me©mgZv quadrantal angle cv`K †KvY T-7686 (Bengali) 8 Algebra 2 and Trigonometry English Bengali quadratic equation wØNvZ mgxKiY quadratic formula wØNvZ m~Î quadratic inequality wØNvZ AmgZv quadratic trinomial wØNvZ wÎc` radian †iwWqvb radical equation mgxKiY g~jK radical expression g~j‡K cÖKvk radius e¨vmva© range (of a function) Avw¼K we¯Í…wZ (A‡cÿ‡Ki) rational coefficient †hŠw³K mnM rational equation †hŠw³K mgxKiY rational expression †hŠw³K cÖKvk rational inequality †hŠw³K AmgZv rationalize denominators KiYx-wbiwmZ ni reciprocal trigonometric functions wecixZ w·Kv‡bvwgwZK A‡cÿK recursive definition †cŠbtcwbKZvi msÁv reference angle cwiPvqK †KvY relation m¤úK© replacement set cÖwZ¯’vwcZ web¨vm represent cÖwZwbwaZ¡ Kiv restricted domain mxgve× cwimi resultant msnZ dj right triangle trigonometry mg‡KvYx wÎfzR w·Kv‡YvwgwZ root of an equation mgxKi‡Yi g~j secant (of an angle) †Q`K (‡Kv‡Yi) sigma notation wmMgv cÖZxK sine mvBb solution set mgvavb web¨vm standard position (of an angle) cÖwgZ Aew¯’wZ (†Kv‡Yi) subset LÐ web¨vm sum and product of roots of a quadratic wØNvZ mgxKiY g~‡ji †hvM I ¸Ydj equation T-7686 (Bengali) 9 Algebra 2 and Trigonometry English Bengali sum of a geometric series R¨vwgwZK wmwi‡Ri †hvMdj sum of an arithmetic series cvUxMvwYwZK wmwi‡Ri †hvMdj sum or difference formulas for w·Kv‡YvwgwZK A‡cÿ‡Ki ms‡hvRb I wefvRb m~Î trigonometric functions system of equations/inequalities mgxKiY/AmgZvi e¨e¯’v tangent (of an angle) ¯úk©K (‡Kv‡Yi) technology cÖhyw³ terminal side of an angle †Kv‡Yi cÖvšÍevû transformation iƒcvšÍi transformations of functions and relations A‡cÿK I m¤ú‡K©i iƒcvšÍi trigonometric equation w·Kv‡YvwgwZK mgxKiY trigonometric functions w·Kv‡YvwgwZK A‡cÿK unit circle e„Ë BDwbU variable cwieZ©bkxj ivwk/PjK vector †f±i vertical line test Djø¤^ †iLv cixÿv zero of a function A‡cÿ‡Ki k~b¨ zero product property k~‡b¨i ¸Ydj ag© R¨vwgwZ Geometry absolute value Pig gvb absolute value equation Pig gvb mgxKiY absolute value inequality Pig gvb AmgZv angle in standard position cÖwgZ Ae¯’v‡b †KvY angle of depression Abyf‚wg †KvY angle of elevation D”P‡KvY area of a parallelogram using SAS evû-‡KvY-evû e¨envi K‡i mvgšÍwiK †ÿ‡Îi AvqZb area of a triangle using SAS evû-‡KvY evû e¨envi K‡i wÎfz‡Ri AvqZb circle e„Ë coefficient mnM function A‡cÿK generalize mvaviYxKiY Kiv T-7686 (Bengali) 10 Algebra 2 and Trigonometry English Bengali e„ËvKvi wµqvi R¨vwgwZK cÖKvk geometric representation of the circular function graph of a relation m¤ú‡K©i ‡iLwPÎ graphical representation †iLwP‡Î cÖKvk graphical solution of equations mgxKi‡Yi †iLwPÎ mgvavb investigate Z`šÍ Kiv ordered pair hyM¥ web¨vm parabola Awae„Ë rational coefficient †hŠw³K mnM rectangular coordinates AvqZ mwbœ‡ek relation m¤úK© root of an equation mgxKi‡Yi g~j sector of a circle e„‡Ëi LÐvsk slope Xvj triangle wÎfzR vertex kxl© visualization wPÎ ùzUb cwigvc Measurement arc length e„ËPv‡ci ˆ`N©¨ degree measure wWwMÖ gvcK measure of central angle †K›`ªxq †Kv‡Yi gvc minute wgwbU radian measure †iwWqv‡b cwigvc cwimsL¨vb I m¤¢vebv Statistics and Probability at least b~¨bZg at most me©vwaK Bernouli experiments evb©ywji Awfwµqv biased sample cÿcvZ`yó bgybv bimodal GKai‡bi cwimsL¨vbMZ cwigvc binomial probability formula wØc` m¤¢vebvim~Î bivariate data GK ai‡bi DcvË/wØgvwÎK DcvË T-7686 (Bengali) 11 Algebra 2 and Trigonometry English Bengali central tendency ga¨MvwgZv combination ms‡hvRb compound event RwUj NUbv conjecture Abygvb Kiv controlled experiment wbqwš¿Z Awfwµqv correlation coefficient ci¯úi-m¤úwK©Z mnM Counting Principle MYbv ixwZ exactly h_vh_fv‡e/mwVKfv‡e experimental probability Awfwµq m¤¢vebv extrapolate ewnc©vZb Kiv frequency (of a data set) cwimsL¨v (DcvË web¨v‡mi) frequency distribution cwimsL¨v wefvRb grouped frequency distributions eM©K…Z cwimsL¨v wefvRb index in statistics cwimsL¨vb m~PK interpolate least squares regression line AšÍtcÖ‡ÿcK B›Uvi‡KvqvU©vBj †iÄ (GK‡mU Dcv‡Ëi cÖ_g I Z…Zxq †KvqvU©vB‡ji cv_©K¨ wj÷ ¯‹qvi wi‡MÖkb jvBb line of best fit jvBb Ae †e÷ wdU linear regression wjwbqvi wi‡MÖkb mean Mo measure of central tendency gyL¨ cÖeYZvi cwigvc measures of dispersion we¯Í…wZi cwigvc median ga¨gv mode †gvW normal curve ¯^vfvweK eµ‡iLv normal distribution ¯^vfvweK wefvRb observation ch©‡eÿY Kiv outlier AvDUwjqvi Pascal's Triangle c¨vmKv‡ji wÎfzR percentile kZvskK permutation web¨vm probability m¤¢vebv interquartile range T-7686 (Bengali) 12 Algebra 2 and Trigonometry English Bengali quartiles †KvqvU©vBjm& random sample mgm¤¢e bgybv range (of a data set) cwimsL¨v (DcvË web¨vm) regression equation wi‡MÖkb BKz‡qkb regression model wi‡MÖkb g‡Wj sample space bgybv ¯’vb scatter plot wewÿß A¼b standard deviation (population) cÖgvY wePz¨wZ (RbmsL¨v) standard deviation (sample) cÖgvY wePz¨wZ (bgybv) statistics cwimsL¨vb survey Rwic technology cÖhyw³ theoretical probability ZvwË¡K m¤¢vebv univariate data GKgvwÎK DcvË variance (population) wewfbœZv (RbmsL¨v) variance (sample) wewfbœZv (bgybv) T-7686 (Bengali) 13
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