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Glossary High School Level Integrated Algebra Glossary English / Urdu 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 Urdu Problem Solving ûĻđIJ ĴĊ Ĵùûĕĸ Ўņĸ Iûý: ŁIJ /đþĈĵ/ algebraically concept ЙŅđĤĻ conjecture ¸:/ďĻ/ constraint ďŅďċā equivalent D7/đĂĸ ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ formulate ķņĹħā generalization đIJ ûļý D/đμ graphically ŁμďļùûĹĻ ŁĬûħĝ/ multiple representations Ã7ďĦ numerically Āčûļė ûŅ ĀņĚŀěč ĖùûĹņŞ Ĵýûį S Gûąĸ / ЙĻŀĹĻ parameter pattern Łμ7đIJ9ûIJ ŁĬûĝ/ relative efficiency strategy ŁĶĹĦ ĀĹijĊ verbally ŁĻûý: 2ŀþĄ 9K/ ЙЛņćŀā Reasoning and Proof appropriate üĔûļĂĸ approximation ĀЛýûĘĸ Ĵņĵ7 argument ûĻđIJ Йþĵûġĸ &ûĻŀК 9/ďŅŀĦ7 claim conclusion ЙĈņĂĻ conjecture ¸:/ďĻ/ Gûąĸ Łý/ŀć counterexample ûĻđIJ ĀĊûĝK explain GоďĂĔ/ Łù/đİĂĔ/ inductive reasoning logical argument GоďĂĔ/ Łİġļĸ mathematical conjecture ¸:/ďĻ/ ŁāûņĝûŅ9 proof 2ŀþĄ refute ûĻпŐĿć 9ûIJ ĮŅđĠ ķĤļĸ S systematic approach T-7686 (Urdu) 1 Integrated Algebra English Urdu validity ÃđŅĐŞđĄ/ Venn diagram ЙIJûč ĺŅK ûĻđIJ ĮŅďěā verify Gûěā/ Communication ŁνĂĔ97 accuracy ЙŅĒĈā analyze argument GоďĂĔ/ coherent /ŀК /Ǽć ûĻđIJ /ďņŞ ğý9 communicate ķЛĬ &ک/97/ comprehension conclusion ЙĈņĂĻ conjecture ¸:/ďĻ/ ŁùûĘIJ Ēĸ9 decoding ûĻđIJ đКûģ elicit equation 2/Kûĕĸ evaluate ûĻđIJ ĴĊ ûĻûľǼý extend formula ЙņĶIJ / Йĵŀĸ9ûĬ function ĴĦûĭā graph D/đμ ĉŅđĘā interpretation mathematical visual 9ŀěā ŁāûņĝûŅ9 rationale GоďĂĔ/ Łİġļĸ ķņįđā (ŁāûņĝûŅ9) Ã9ûņħĸ standard (mathematical) notation ŁĶĹĦ ĀĹijĊ strategy table ĀĔđЛĬ &ÉڑûЛŞ technical writing đŅđċā Łijņļijā 2ûĊпġĚ/ terminology đĄöĸ &ďļĂĕĸ valid ğý/K9 Connections ?ŀýđĸ ĴĹijĸ coherent whole T-7686 (Urdu) 2 Integrated Algebra English Urdu concept ЙŅđġĻ connection Йġý/9 ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ formulate physical model ЙĻŀĹĻ ŁħņþĠ procedure 9ûIJ ĮŅđĠ S ЙĻŀĹĻ ŁĂņĹIJ quantitative model ŁμďļùûĹĻ representation ŁμďļùûĹĻ Representation 7ŀħĚ )ЙŅK/: angle of elevation array 9ûġį chart p9ûŶ compare ûĻđIJ ЙĶýûİĸ diagram Ĵijė &ЙIJûč equation 2/Kûĕĸ function ĴĦûĭā graph D/đμ ĉŅđĘā interpret Йħį/K ŁāûņĝûŅ9 mathematical phenomena ûĻđIJ ķĤļĸ organize Йħį/K ŁāûħņþĠ physical phenomena ĥĬûļĸ profit ڈ9ûijŅ9 record Йħį/K ŁćûĹĔ social phenomena ĀĸпĦ symbol ĀĔđЛĬ &ÉڑûЛŞ table technology Łćŀĵûļijņŏ translate ûĻđIJ ЙĹćđā 9ûIJ ĮŅđĠ 9K/ ēĊ Ã7ďĦ S Number Sense and Operations ĀĹņį ĮĶġĸ W ЙĶĕĸ ŁùûŅđþĈĵ/ absolute value algebraic problem 9ûIJ ĮŅđĠ ŁýûĕĊ S arithmetic operation T-7686 (Urdu) 3 Integrated Algebra English Urdu (2о7ûþĂĸ) üņā/đā arrangements (permutations) H:пā ĀņĚûč associative property closure property <ďļý ĀņĚûč commutative property Йĵ7ûþĸ ĀņĚûč Ϋņļijā ŁIJ ЭĻđIJ 9ûĹė / Эļļμ counting techniques ЙŅ9ûĘĦ decimal denominator 4đĎĸ discount ŁāŀŐIJ ŁĹņĕİā ĀņĚûč distributive property ЙĶĹć ĥŅđĔ exponential expression ЙĶĹć expression Йņýđĝ Ēć factorial ЙĠûĊ/ &I/ďņĸ field đĕIJ fraction 9ûĹė GŀĚ/ Ã7ûņļý S ¸Kđμ Fundamental Principle of Counting group identity property ĀņĚûč Йİýûġĸ inverse property ĀņĚûč ;ŀijħĸ 2ûĊûġĚ/ Ã9Đć ĴĄûĹĸđņĩ / ĴĄûĹĸ like/unlike radical terms ЙŅđĤĻ Ã7ďĦ number theory ¸ďļļIJ9ûĹė numerator ďěņĬ ŁIJ ЭļŐĿμ / ЭļľǼý percent of increase/decrease 0đĝ ĴĚûĊ product 2ûņĚûč ŁIJ 7/ďĦ/ ĴĚ/ properties of the Real numbers EđĬ ĀĔ/9 ¸/đý S / üĔûļā ĀĹņį ĴĚûĊ proportionality/direct variation quotient Ã9Đć radical 9KĐĈĸ radicand 7/ďĦ/ ĴĚ/ real numbers ķņįđā ŁĕļùûĔ scientific notation 29ŀĚ ĺŅđā ¸7ûĔ simplest form đņĪĂĸ variable T-7686 (Urdu) 4 Integrated Algebra English Urdu Algebra /đþĈĵ/ ЙŅK/: ¸7ûĊ acute angle adjacent side/angle ЙŅK/: / ¸9ûļIJ ĴěĂĸ algebraic equation 2/Kûĕĸ Łù/đþĈĵ/ algebraic expression ЙĶĹć Łù/đþĈĵ/ algebraic fraction đĕIJ Łù/đþĈĵ/ ЙŅĒĈā analyze 9ŀċĸ ЭIJ üĔûļā axis of symmetry ŁĹį9K7 binomial đĔ Ã7ďĦ coefficient 7ûņļý کđĂĘĸ common base ЙĦŀĹĈĸ ŁĶŅ8 ûIJ )ûņė/ ķĹĂĸ complement of a subset coordinates 7ďċĸ cosine HûĹĂĵ/ ĥýûā dependent EđĬ ûIJ ±ŀħýđĸ ĴĸûIJ K7 difference of two perfect squares element đěļĦ equation 2/Kûĕĸ exponent ûĹĻ ĀįûĠ G/K: 9K/ ŁāŀľǼý ĥŅđĔ exponential growth and decay ЙĶĹć expression ûĻđIJ +Ēć/ factoring ЙĶĹć ÃđĕIJ fractional expression ķĤĦ/ 7ûĦ S đāK greatest common factor (GCF) hypotenuse đņĪĂĸ ĥýûāđņĩ independent variable 2/Kûĕĸđņĩ inequality 7ďĦ integer integral coefficient đĔ Ã7ďĦ ĴĹijĸ integral exponent ûĹĻ ĀįûĠ ĴĹijĸ 9Ēć ĴĹijĸ integral root(s) ЙĦŀĹĈĸ ĥĠûİā intersection of sets T-7686 (Urdu) 5 Integrated Algebra English Urdu ЙĭįK ŁĹņįđā interval notation đĔ Hďİĸ lead coefficient ÉđĔ ЭIJ ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį legs of a right triangle ğč Ã:/ŀĂĸ ЭIJ 9ŀċĸ Łù/K ûŅ ēijŅ/ line parallel to the x- or y-axis 2/Kûĕĸ Łć97 ΫŅ Ўņĸ đņĪā ΫŅ/ linear equation in one variable 2/KûĕĸûĻ Łć97 ΫŅ Ўņĸ đņĪā ΫŅ/ linear inequality in one variable 2/Kûĕĸ ŁİņİĊ literal equation 2ďĸ ķIJ ЭĔ ķIJ ŁIJ đĕIJ lowest terms fraction ¸7ûŅ: ЭĔ ďĊ monomial đĭĚ @ûċĶý ĀņĚûč ŁIJ 0đĝ multiplication property of zero ЭŅK/: / É9ûļIJ īĵûĎĸ opposite side/angle Ĵijė ÃŀĞņý parabola Ã:/ŀĂĸ parallel ДāûĔ ЭIJ 2đąIJ polynomial 0đĝ ĴĚûĊ product 2ûņĚûč ŁIJ ûĹĻ ĀįûĠ properties of exponents üĔûļā W 39ŀĩûąņĬ ЙĶĕĸ proportion Pythagorean Theorem 2/Kûĕĸ Łħý9 quadratic equation quantitative ЙĻŀĹĻ ŁĂņĹIJ quotient ĀĹņį ĴĚûĊ ĀþĕĻ ratio ĮĶħā relation ЙŅK/Ēĵ/ ЙĹùûį right angle ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį right triangle 9Đć ûIJ 2/Kûĕĸ ΫŅ/ root(s) of an equation H9ûĬ 2ûįKо/ HûĤĻ roster form ЙĦŀĹĈĸ set ķņįđā 9ûIJ ЙĦŀĹĈĸ set-builder notation üņć sine Iпľڈ W ĴĊ ЙĦŀĹĈĸ slope solution set ЙĦŀĹĈĸ ŁĶŅ8 subset T-7686 (Urdu) 6 Integrated Algebra English Urdu R ĥĹć ĴIJ sum system of linear inequalities HûĤĻ ûIJ 2/KûĕĸûĻ Łć97 ΫŅ systems of linear equations HûĤĻ ûIJ 2/Kûĕĸ Łć97 ΫŅ ;ûĹĸ tangent (Ўņĸ ŁĂĸпĦ ЭĔ ŁĻûý:) ûĻđIJ ЙĹćđā translate (from verbal to symbolic) 2пąĶąĸ ķĶĦ trigonometry ûļμ ĺņā / ŁĹį9 ЙĔ trinomial ĺņħĸ đņĩ undefined union of sets Gûěā/ ûIJ ±ŀĦŀĹĈĸ universal set ЙĦŀĹĈĸ ŁĹĵûĦ đņĪā variable verbal expression đĄûā ŁĻûý: verbal sentence ЙĶĹć ŁĻûý: vertex ;/đĵ/ ĀĹĔ x-axis 9ŀċĸ ûIJ ēijŅ/ y-axis 9ŀċĸ ûIJ Łù/K ÃđŐņĸŀņć Geometry ĴĦûĭā ĀĹņį ĴĹijĸ absolute value function angle ЙŅK/: area Йþį9 9ŀċĸ ЭIJ ĀĔûļā ЭIJ ŁĬûijĸ axis of symmetry of a parabola ¸đù/7 circle đĔ Ã7ďĦ coefficient cylinder ĺĶņý decagon đĘħĸ ĴĦûĭā ĥŅđĔ exponential function ĴĦûĭā function ûĻđIJ ķņĹħā generalize geometric shape Ĵijė ŁIJ ÃđŐņĸŀņć graph of a relation D/đμ ûIJ ğý9 ŁĕIJ hexagon ŁħĶĝ Ėė investigate ûĻđIJ Įņİċā T-7686 (Urdu) 7 Integrated Algebra English Urdu ŁħĶĝ ŀĻ nonagon Aпĝ/ Дŏ* / ĀĘК octagon /ڑŀć üāđĂĸ ordered pair ĴĦûĭā ŁĬûijĸ parabolic function Aпĝо/ Ã:/ŀĂĸ parallelogram pentagon ŁħĶĝ ĆļŞ perimeter ЙĠûĊ/ Aпĝо/ đņąIJ polygon ŁħĶĝ 9ûŶ quadrilateral ЙŅK/: ŁùûĿāŀŶ quarter-circle đĔ Ã7ďĦ ĮĠûĻ rational coefficient ĴņġĂĕĸ rectangle ;ŀĿŏ ŁĶņġĂĕĸ rectangular solid Aпĝо/đņąIJ ¸ďĦûįûý regular polygon relation ĮĶħā rhombus ĺņħĸ 9Đć ûIJ ĴĦûĭā ŁĬûijĸ roots of a parabolic function Aûġį ûIJ ¸đù/7 sector of a circle ¸đù/7 ķņĻ semi-circle GоďĂĔ/ ŁĻûijĸ spatial reasoning ĥýđĸ square Йþį9 ŁċġĔ surface area ûĹĻ Dđċļĸ &ûĹĻ ЙİĻ8K8 trapezoid triangle ăĶąĸ vertex ;/9 9ûěþĂĔ/ visualization ķĈĊ volume ĖùûĹņŞ Measurement ŁùûIJ/ üĔûļĸ appropriate unit ŁĶŅďþā conversion ŁùûIJ/ üħijĸ cubic unit ŁġĶĩ error T-7686 (Urdu) 8 Integrated Algebra English Urdu ĖùûĹņŞ Łć97 ΫŅ linear measure ŁùûIJ/ Łć97 ΫŅ linear unit 9/ďİĸ magnitude HûĤĻ ûIJ ĖùûĹņŞ measurement system 5đė rate ŁġĶĩ ŁĬûĝ/ relative error ŁùûIJ/ ĥýđĸ square unit ŁùûIJ/ unit GûĹĂĊ/ 9K/ 2ûŅ9ûĹė Statistics and Probability ĀņþĔûļĸ appropriateness 9/ďþĻûć biased ¸đņĪĂĸK7 bivariate box-and-whisker plot pпŞ đijĔK ŻļŅ/ ēIJûý calculated probability GûĹĂĊ/ ¸7đIJ9ûĹė ûļŅ7 üņāđā 9/K Йć97 categorize üþĔ causation Iûċć9 ÃĒIJđĸ central tendency HûĹā/ complement GûĹĂĊ/ ?KđĘĸ conditional probability ĮĶħā ŁĹКûý correlation GKďć ûIJ ķņĕİā 7ďħā ЙĹIJ9 cumulative frequency distribution table ЙĘİĻ ŁĹĵûIJ 7ďħā ЙĹIJ9 cumulative frequency histogram 9ûĹėK 7/ďĦ/ data dependent events Йħį/K ĥýûā dependent variable đņĪā ĥýûā đěļĦ element empirical probability GûĹĂĊ/ ŁāûņĕĊ experimental design ĺù/ĒŅ ڈŁāûýđĈā extrapolation 4/97/ Łù/9K favorable event Йħį/K ĮĬ/ŀĸ Йνć ЙĻŀĹĻ 7Kďċĸ finite sample space 9ûěĂč/ ŁāûŅ9ûĹė ŵĻûŞ five statistical summary T-7686 (Urdu) 9 Integrated Algebra English Urdu GKďć ûIJ ķņĕİā 7ďħā frequency distribution table D/đμ ŁĹĵûIJ histogram 2ûħį/K ĥýûāđņĩ independent events đņĪā ĥýûāđņĩ independent variable 4/9ďĻ/ interpolation ğč ûIJ Įýûġĸ ĺŅđĂЛý line of best fit Gďþā Łć97 ΫŅ linear transformation ĀĹņį ķĤĦ/ maximum ğĔK/ mean ĖùûĹņŞ ŁIJ Iûċć9 ÃĒIJđĸ measure of central tendency median ЙņĻûġĔK minimum ĺŅđā ķIJ ¸7ûĦ mode 2ûħį/K ŁĚŀěč ķКûý mutually exclusive events 2ûħį/K ŁĚŀěč ŁĹКûýđņĩ not mutually exclusive events Ãďļý Йć97 ЙŅďĚ percentile rank probability GûĹĂĊ/ qualitative ŁĂņĚûč ŁĂņĹIJ quantitative quartiles (specifically: first, second, third or lower, middle, upper) Ãđĕņā &ÃđĔK7 &ŁĶЛŞ :=ûč 9ŀġý) ĥņýđā (ÃđŞK/ &ŁĻûņĸ97 &ŁĶŷĻ ûŅ ĀħĔK / ďĊ range Йνć ЙĻŀĹĻ sample space pпŞ đĘĂļĸ scatter plot ЙĶĕĶĔ series ¸đņĪĂĸ ΫŅ univariate T-7686 (Urdu) 10