algebra and trig glossary - traditional chinese

High School Level

Algebra & Trigonometry Glossary

English / Chinese Traditional

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: 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. ....................................................................... New York MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D. ......................................................... Rochester ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S. ............................................................... Tonawanda SAUL B. COHEN, B.A., M.A., Ph.D................................................................................................ New Rochelle JAMES C. DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................ Plattsburgh ANTHONY S. BOTTAR, B.A., J.D. ................................................................................................... Syracuse GERALDINE D. CHAPEY, B.A., M.A., Ed.D. ................................................................................. Belle Harbor HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ........................................................................................... Hartsdale JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D......................................................... Albany JAMES R. TALLON, JR., B.A., M.A. ............................................................................................... Binghamton ROGER TILLES, B.A., J.D. ................................................................................................................ Great Neck KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................ Brooklyn CHARLES R. BENDIT, B.A. ............................................................................................................. Manhattan BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D..................................................... Bronx 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 Interim President of the University and Commissioner of Education CAROLE F. HUXLEY Senior Deputy Commissioner of Education, P16 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 Departments Office for Diversity, Ethics, and Access, Room 530, Education Building, Albany, NY 12234.

English Chinese

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

Algebra 2 and Trigonometry

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English Chinese


general case inductive reasoning informal indirect proof investigate justify refute specific result theorem

Communication

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

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English Chinese


strategy symbol technical writing terminology validity verbal explanation written explanation

Connections

concept conclusion formulate multiple representation physical model procedure quantitative model representation

Representation

algebraic representation apply ...chart communicate compare concept diagram equation explore graph graphical representation investigate mathematical phenomena

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English Chinese


multiple representations organize physical object physical phenomena recognize record social phenomena symbol table technology translate

Number Sense and Operations

a+bi form a+bi absolute value complex fraction complex number conjugate direct variation e efractional exponent i i imaginary number index of a radical inverse variation irrational number negative exponent nth root noperation pi powers of i i/principal square root

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English Chinese


procedure radical radical form radicand rational number rationalize a denominator real number scientific notation sigma sigma notation

Algebra

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 arccosine

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English Chinese


arcsine arctangent 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 circle circular functions coefficient cofunctions common base(s) common difference common factor common logarithm common ratio completing the square complex fractional expressions composition of functions compound interest constant function cosecant cosine cotangent coterminal angles

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English Chinese


degree of a polynomial difference of two perfect squares direct variation discriminant domain

double and half angle formulas for

trigonometric functions double root e e equation equivalent forms exact value expand a binomial explicit definition exponential form exponential function extraneous root factor 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 horizontal-line test i i identities

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English Chinese


initial side of an angle inverse function inverse trigonometric functions inverse variation Law of Cosines Law of Sines laws of exponents laws of logarithms linear equation linear expression linear system logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nnth term none cycle of a trigonometric function one-to-one function onto ......opposite side in a right triangle ordinate parabola parameter period (of a function) periodic function phase shift polynomial expression polynomial function powers of i i/Pythagorean identities

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English Chinese


quadrantal angle quadratic equation quadratic formula quadratic inequality quadratic trinomial radian radical equation radical expression radius range (of a function) rational coefficient rational equation rational expression rational inequality rationalize denominators reciprocal trigonometric functions recursive definition reference angle relation replacement set represent restricted domain resultant right triangle trigonometry root of an equation secant (of an angle) /sigma notation sine solution set standard position (of an angle) subset

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English Chinese


sum and product of roots of a quadratic

equationsum of a geometric series sum of an arithmetic series

sum or difference formulas for

trigonometric functions system 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

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English Chinese


area of a triangle using SAS circle coefficient function generalize geometric representation of the circular functiongraph 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

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English Chinese


Bernouli experiments biased sample bimodal binomial probability formula bivariate data central tendency combination compound event conjecture controlled experiment correlation coefficient Counting Principle exactly experimental probability extrapolate frequency (of a data set) frequency distribution grouped frequency distributions index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measures of dispersion median mode normal curve normal distribution observation outlier

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English Chinese


Pascal's Triangle percentile permutation probability

quartiles random sample range (of a data set) /regression equation regression model sample space scatter plot standard deviation (population) standard deviation (sample) statistics survey technology theoretical probability univariate data variance (population) variance (sample)

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algebra and trig glossary - traditional chinese

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