Glossary High School Level Integrated Algebra Glossary English / Bengali Translation of Integrated Algebra terms based on the Coursework for Integrated Algebra 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. Integrated Algebra English Bengali Problem Solving mgm¨vmgvavb algebraically exRMvwYwZKfv‡e concept aviYv/cÖZ¨q conjecture Abygvb constraint eva¨evaKZv equivalent mgZzj formulate m~ÎvKv‡i e¨³ Kiv generalization mvaviYxKiY graphically ˆiwLKfv‡e multiple representations GKvwaK Dc¯’vcb numerically msL¨vMZfv‡e parameter w¯’wZgvc pattern bgybv relative efficiency Av‡cwÿK `ÿZv strategy †KŠkj verbally †gŠwLKfv‡e hyw³ I cÖgvY Reasoning and Proof appropriate h_vh_ approximation mwbœKl© argument ZK© claim `vwe conclusion wm×všÍ conjecture Abygvb counterexample cvëv D`vniY explain e¨vL¨v Kiv inductive reasoning Av‡ivnx hyw³ logical argument †hŠw³K ZK© mathematical conjecture MvwYwZK Abygvb proof cÖgvY refute LÐb Kiv systematic approach c×wZMZ Kg©‡KŠkj T-7686 (Bengali) 1 Integrated Algebra English Bengali validity b¨vh¨Zv Venn diagram web¨¯Í bKkv/‡iLvwPÎ verify mZ¨Zv hvPvB Kiv †hvMv‡hvM Communication accuracy wbf©yjZv analyze we‡kølY Kiv argument hyw³ coherent mymgÄm communicate Ávcb Kiv comprehension Dcjwä conclusion wm×všÍ conjecture Abygvb decoding m‡¼Z D×vi Kiv elicit ¸ß †KvbwKQz cÖKvwkZ Kiv equation mgxKiY evaluate g~j¨vqb Kiv extend m¤úªmviY Kiv formula m~Î function A‡cÿK graph MÖvd interpretation e¨vL¨v Kiv mathematical visual MvwYwZK `„k¨Kí/`„K-DcKiY rationale g~jMZ †hŠw³KZv standard (mathematical) notation cÖwgZ A¼cvZb strategy †KŠkj table mviwY technical writing cÖKiYMZ wjLb terminology cwifvlv-weÁvb valid ˆea m¤úK© Connections coherent whole T-7686 (Bengali) mymgÄm mgMÖ 2 Integrated Algebra English Bengali concept aviYv/cÖZ¨q connection ms‡hvM formulate m~ÎvKv‡i e¨³ Kiv physical model e¯‘MZ bgybv/g‡Wj procedure c×wZ quantitative model cwigvYMZ bgybv/g‡Wj representation cÖwZwbwaZ¡ cÖwZwbwaZ¡ Representation angle of elevation D”P‡KvY array csw³/web¨vm chart ZvwjKv compare Zzjbv diagram bKkv/‡iLvwPÎ equation mgxKiY function A‡cÿK graph †iLvwPÎ/QK interpret e¨vL¨v Kiv mathematical phenomena MvwYwZK Aefvm organize web¨vm Kiv physical phenomena e¯‘MZ Aefvm profit gybvdv record †iKW©/bw_ social phenomena mvgvwRK Aefvm symbol cÖZxK table mviwY technology cÖhyw³ translate iƒcvšÍi msL¨vi aviYv I wµqv Number Sense and Operations absolute value Pig gvb algebraic problem exRMvwYwZK mgm¨v arithmetic operation cvUxMvwYwZK wµqv T-7686 (Bengali) 3 Integrated Algebra English Bengali arrangements (permutations) µg (web¨vm/) associative property Avbylw½K ag© closure property msevi cÖK…wZ commutative property wewbgq cÖK…wZ counting techniques MYbv-‡KŠkj decimal `kwgK denominator ni discount evUv distributive property wefvRb cÖK…wZ exponential expression m~PK ivwk expression ivwk/mgvnvi factorial †MŠwYK field †ÿÎ fraction fMœv¼/fMœvsk Fundamental Principle of Counting MYbvi g~j bxwZ group †kªwY/eM©/cigvYym•N identity property A‡f` ag©/cÖK…wZ inverse property wecixZ/e¨¯Í cÖK…wZ like/unlike radical terms m`„k/wem`„k cigvYy¸”Q/g~jK number theory msL¨v ZË¡ numerator je percent of increase/decrease kZKiv e„w×/n«vm product ¸Ydj properties of the Real numbers ev¯Íe msL¨vi cÖK…wZ proportionality/direct variation AvbycvwZKZv/cÖZ¨ÿ †f` quotient fvMdj radical g~jv‡š^lx wPý radicand g~jv‡š^wlZ msL¨v/ivwk real numbers ev¯Íe msL¨v scientific notation ˆeÁvwbK cÖZxK simplest form mijZg AvK…wZ variable PjK/cwieZ©bkxj ivwk T-7686 (Bengali) 4 Integrated Algebra English Bengali Algebra exRMwYZ acute angle m~² †KvY adjacent side/angle mwbœwnZ evû/‡KvY algebraic equation exRMvwYwZK mgxKiY algebraic expression exRMvwYwZK ivwk algebraic fraction exRMvwYwZK fMœvsk analyze we‡kølY Kiv axis of symmetry m½wZ‡iLv binomial wØc`/wØc`xq coefficient mnM common base mvaviY wfwË complement of a subset web¨vm-c~iK coordinates ¯’vbv¼ cosine †KvmvBb dependent Aaxb difference of two perfect squares `ywU c~Y© eM©g~j/Av`k© eM©‡ÿ‡Îi cv_©K¨ element †gŠj/‡gŠwjK c`v_© equation mgxKiY exponent NvZwPý/m~PK exponential growth and decay NvZØviv m~wPZ e„w× I ÿq expression ivwk/mgvnvi factoring ¸Y Kiv fractional expression †MŠwYK ivwk greatest common factor (GCF) Mwiô mvaviY ¸YbxqK (Mmv¸) hypotenuse AwZfzR independent variable ¯^Zš¿ ivwk/Amg ivwk inequality AmgZv integer c~Y©msL¨v integral coefficient ALÐ mnM integral exponent ALÐ NvZwPý integral root(s) ALÐ g~j(mg~n) intersection of sets cÖwZ‡”Q` web¨vm T-7686 (Bengali) 5 Integrated Algebra English Bengali interval notation A¼cvZb cwimi lead coefficient cÖavb mnM legs of a right triangle mg‡KvYx wÎfz‡Ri evûmg~n line parallel to the x- or y-axis G· ev IqvB Aÿ‡iLvi mgœvšÍivj †iLv linear equation in one variable GK cwieZ©bkxj ivwkwewkó ˆiwLK mgxKiY linear inequality in one variable GK cwieZ©bkxj ivwkwewkó ˆiwLK mgZv literal equation cvwk¦©K mgxKiY lowest terms fraction jwNô ivwk fMœvsk monomial GKc` multiplication property of zero k~‡b¨i ¸Yb ag© opposite side/angle wecixZ evû/‡KvY parabola Awae„Ë parallel mgvšÍivj polynomial eûc` product ¸Ydj properties of exponents NvZwP‡nèi cÖK…wZ proportion AbycvZ Pythagorean Theorem cvB_v‡Mvwiqvb Dccv`¨ quadratic equation wØNvZ mgxKiY quantitative cwigvYMZ quotient fMœv¼/fMœvsk ratio AbycvZ/mgvbycvZ relation m¤úK© right angle mg‡KvY right triangle mg‡KvYx wÎfzR root(s) of an equation mgxKi‡Yi g~j(mg~n) roster form QK set web¨vm set-builder notation web¨vm wbg©vYKvix cÖZxK sine mvBb slope Xvj solution set mgvavb web¨vm subset LÐweb¨vm T-7686 (Bengali) 6 Integrated Algebra English Bengali sum mgwó system of linear inequalities GK‰iwLK AmgZvi c×wZ systems of linear equations GK‰iwLK mgxKi‡Yi c×wZmg~n tangent ¯úk©K/¯úk© †iLv translate (from verbal to symbolic) iƒcvšÍi (K_v †_‡K cÖZx‡K) trigonometry w·Kv‡YvwgwZ trinomial wÎc` undefined AwbY©xZ union of sets web¨v‡mi ms‡hvM universal set me©Rbxb web¨vm variable PjK/ivwk verbal expression K_vq cÖKvk verbal sentence evK¨ vertex kxl© x-axis G· Aÿ‡iLv y-axis IqvB Aÿ‡iLv R¨vwgwZ Geometry absolute value function Pig gvb A‡cÿK angle †KvY area AvqZb/‡ÿÎdj axis of symmetry of a parabola Awae„‡Ëi m½wZ‡iLv circle e„Ë coefficient mnM cylinder wmwjÛvi decagon `kfzR I `k‡KvYx mgZj‡ÿÎ exponential function wµqvm~PK/NvZm~PK A‡cÿK function A‡cÿK generalize mvaviYxKiY geometric shape R¨vwgwZK AvK…wZ graph of a relation m¤ú‡K©i †iLvwPÎ hexagon lU‡KvY investigate AbymÜvb T-7686 (Bengali) 7 Integrated Algebra English Bengali nonagon befzR octagon AóvfzR ordered pair hyMj ce©/hyM¥ web¨vm parabolic function Awae„Ë A‡cÿK parallelogram mvgšÍwiK pentagon cÂfzR perimeter cwimxgv polygon eûfzR quadrilateral PZzf©yR/PZz‡®‹vY quarter-circle wmwKe„Ë rational coefficient †hŠw³K mnM rectangle AvqZ‡ÿÎ rectangular solid AvqZvKvi Nbe¯‘ regular polygon mylg eûfzR relation m¤úK© rhombus welg‡KvYx mvgšÍwiK †ÿÎ/i¤^m roots of a parabolic function Awae„Ë wµqvi g~j sector of a circle e„ËKjv semi-circle Aa©e„Ë spatial reasoning cwimiMZ hyw³ square eM© surface area AvqZb trapezoid AmgšÍivj evûwewkó PZ©yfzR triangle wÎfzR vertex kxl© visualization wPÎùzUb volume Nbdj cwigvc Measurement appropriate unit h_vh_ GKK conversion wecwiYvg cubic unit wÎNvZ error åg T-7686 (Bengali) 8 Integrated Algebra English Bengali linear measure GK‰iwLK cwigvc linear unit GK‰iwLK GKK magnitude gvÎv/we¯Í…wZ measurement system cwigvcb c×wZ rate nvi relative error Av‡cwÿK åg square unit eM© GKK unit GKK cwimsL¨vb I m¤¢vebv Statistics and Probability appropriateness hv_v_©¨ biased cÿcvZ`yó bivariate wØPjK-wewkó/wØcwieZ©bkxj ivwk-wewkó box-and-whisker plot e·-A¨vbW ûB¯‹vi cøU (GK ai‡bi cwimsL¨vb c×wZ) calculated probability wnmvwe m¤¢vebv categorize †kªwYe×KiY causation Kvh©KviY m¤úK© central tendency ga¨MvwgZv complement cwic~iK conditional probability kZ©vaxb m¤¢vebv correlation cvi¯úwiK m¤úK© cumulative frequency distribution table mgwóg~jK †cŠbtcybv¼ wefvRb mviwY cumulative frequency histogram mgwóg~jK †cŠbtcyybv¼ AvqZwPÎ data DcvË dependent events Aaxb NUbv dependent variable Aaxb PjK/cwieZ©bkxj ivwk element †gŠj/‡gŠwjK c`v_© empirical probability cÖ‡qvMR m¤¢vebv experimental design cixÿvwbf©i bKkv extrapolation ewnc©vZb favorable event AbyK~j NUbv finite sample space mmxg bgybv †ÿÎ five statistical summary cuvPwU cwimsL¨vb mvivsk T-7686 (Bengali) 9 Integrated Algebra English Bengali frequency distribution table †cŠbtcybv¼ wefvRb mviwY histogram AvqZwPÎ independent events ¯^vaxb NUubv independent variable ¯^vaxb PjK/cwieZ©bkxj ivwk interpolation AšÍtcÖ‡ÿcY line of best fit jvBb Ae †e÷ wdU (GKai‡bi cwimsL¨vb c×wZ) linear transformation GK‰iwLK i~cvšÍi maximum m‡e©v”P/me©vwaK mean Mo measure of central tendency ga¨MvwgZv cwigvc median ga¨gv minimum ÿz`ªZg/jwNô mode DcvË ¸‡”Qi msL¨vMwiô gvb mutually exclusive events ci¯úi wew”Qbœ NUbv not mutually exclusive events ci¯úi wew”Qbœ NUbv bq percentile rank kZvskK µg probability m¤¢vebv qualitative ¸YMZ quantitative cwigvYMZ quartiles (specifically: first, second, third †KvqvU©vBjm (we‡klfv‡e, cÖ_g, wØZxq, Z…Zxq, A_ev wbgœ, ga¨, D”P or lower, middle, upper) range Avw¼K we¯Í…wZ sample space bgybv †ÿÎ scatter plot wewÿß A¼b series mvwi/wmwiR univariate GKgyLx PjK.cwieZ©bkxj ivwk T-7686 (Bengali) 10
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