Glossary. Algebra 2 Glossary. High School Level. English / Slovak
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1 High School Level Glossary Algebra 2 Glossary English / Slovak Translation of Algebra 2 & Trigonometry terms based on the Coursework for Algebra 2 & Trigonometry Grades 9 to 12. Word-for-word glossaries are used for testing accommodations for ELL/LEP students THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Last Updated: December 2017
2 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY P-16 Office of Elementary, Middle, Secondary and Continuing Education and Office of Higher Education Office of Bilingual Education and World Languages 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.... Rochester ROGER TILLES, B.A., J.D.... Great Neck LESTER W. YOUNG, JR., B.S., M.S., Ed.D..... Beechhurst CHRISTINE D. CEA, B.A., M.A., Ph.D..... Staten Island WADE S. NORWOOD, B.A.... Rochester KATHLEEN M. CASHIN, B.S., M.S., Ed.D.... Brooklyn JAMES E. COTTRELL, B.S., M.D.... New York JOSEPHINE VICTORIA FINN, B.A., J.D.... Monticello JUDITH CHIN, M.S. in Ed.... Little Neck BEVERLY L. OUDERKIRK, B.S. in Ed., M.S. in Ed.... Morristown CATHERINE COLLINS, R.N., N.P., B.S., M.S. in Ed., Ed.D.... Buffalo JUDITH JOHNSON, B.A., M.A., C.A.S.... New Hempstead NAN EILEEN MEAD, B.A.... Manhattan ELIZABETH S. HAKANSON, A.S., M.S., C.A.S.... Syracuse LUIS O. REYES, B.A., M.A., Ph.D.... New York SUSAN W. MITTLER, B.S., M.S.... Ithaca Commissioner of Education and President of The University MARYELLEN ELIA Executive Deputy Commissioner ELIZABETH R. BERLIN 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 braille, large print or audio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Department s Office for Diversity and Access, Room 530, Education Building, Albany, NY
3 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 general case inductive reasoning Informal indirect proof investigate justify refute specific result theorem Communication accuracy appropriate challenge chart Riešenie problémov algebricky alternatívny prístup spolupracovať domnienka obmedzenie kritika ekvivalent vyhodnotiť vysvetliť formulovať zovšeobecnenie graficky interpretovať viacnásobné vyjadrenia numericky pozorovať parameter stratégia slovne Usudzovanie a dokazovanie argument axióma záver domnienka negatívny príklad zistiť presná odpoveď vysvetliť preskúmať všeobecný prípad induktívne usudzovanie neformálny nepriamy dôkaz skúmať zdôvodniť vyvrátiť konkrétny výsledok poučka Komunikácia presnosť vhodný výzva graf NYS Statewide Language RBERN 1
4 coherent comprehension conjecture decoding diagram equation formula function graph interpretation logical argument mathematical representation numerical tables organize outline rationale reflect standard notation 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 koherentný porozumenie domnienka dekódovanie diagram rovnica vzorec funkcia graf interpretácia logický argument matematické znázornenie číselné tabuľky organizovať náčrt, prehľad, osnova logický výklad odrážať štandardný zápis stratégia symbol technické písanie terminológia platnosť ústne vysvetlenie písomné vysvetlenie Súvislosti koncept záver formulovať viacnásobné vyjadrenie fyzický model postup kvantitatívny model vyjadrenie Vyjadrenie algebrické vyjadrenie aplikovať graf komunikovať porovnať koncept diagram rovnica preskúmať NYS Statewide Language RBERN 2
5 graph graf graphical representation grafické znázornenie investigate skúmať mathematical phenomena matematické javy multiple representations viacnásobné vyjadrenia organize organizovať physical object fyzický objekt physical phenomena fyzikálne javy recognize rozpoznať record zaznamenať social phenomena sociálne javy symbol symbol table tabuľka technology technológia translate previesť Number Sense and Operations Zmysel pre čísla a operácie a+bi form tvar a + bi absolute value absolútna hodnota complex fraction zložený zlomok complex number komplexné číslo conjugate konjugovať direct variation priama variácia e e fractional exponent zlomkový exponent imaginary number imaginárne číslo index of a radical odmocniteľ inverse variation prevrátená variácia irrational number iracionálne číslo negative exponent záporný mocniteľ nth root n-tá odmocnina operation operácia pi pí powers of i mocniny čísla i principal square root hlavná druhá odmocnina procedure postup radical odmocnina radical form odmocninový tvar radicand odmocnenec rational number racionálne číslo rationalize a denominator racionalizovať menovateľ real number reálne číslo scientific notation vedecký zápis sigma sigma sigma notation sumačný znak NYS Statewide Language RBERN 3
6 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 arc cosine arc sine arc tangent 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 Algebra abscisa absolútna hodnota rovnica s absolútnymi hodnotami funkcia s absolútnymi hodnotami nerovnica s absolútnymi hodnotami priľahlé uhly priľahlé strany algebrický výraz algebrické vyjadrenie nejednoznačný prípad amplitúda analyzovať uhol uhol v normálnej polohe hĺbkový uhol výškový uhol antilogaritmus približná hodnota dĺžka oblúka arkuskosínus arkussínus arkustangens plocha rovnobežníka pomocou SUS plocha trojuholníka pomocou SUS aritmetická postupnosť aritmetický rad asymptota základňa základ logaritmickej funkcie základ exponenciálnej funkcie binomický rad binomická veta rovnica kružnice so stredovým polomerom stredový uhol kružnica goniometrické funkcie koeficient kofunkcie spoločný základ (spoločné základy) spoločná diferencia radu spoločný činiteľ dekadický logaritmus kvocient doplnenie štvorca NYS Statewide Language RBERN 4
7 complex fractional expressions compositions of functions compound interest constant function cosecant cosine cotangent degree of a polynomial difference of two perfect squares direct variation discriminant domain double and half angle formulas for trigonometric function double root 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 i identities initial side of an angle inverse function inverse trigonometric functions inverse variation law of Cosines laws of Sines laws of exponents laws of logarithms linear equation komplexné zlomkové výrazy zloženie funkcií zložený úrok konštantná funkcia kosekans kosínus kotangens stupeň mnohočlena výsledok odčítania dvoch dokonalých druhých mocnín priama variácia diskriminant doména vzorce dvojnásobného a polovičného uhla pre trigonometrickú funkciu dvojnásobný koreň e rovnica ekvivalentné tvary presná hodnota rozvinúť dvojčlen explicitná definícia exponenciálna forma exponenciálna funkcia cudzí koreň činiteľ zlomkový exponent frekvencia (periodickej funkcie) funkcia zápis funkcie geometrická postupnosť geometrický rad grafické riešenie rovníc najväčší spoločný činiteľ (GCF) rastový faktor polčas i identické rovnice počiatočná strana uhla inverzná funkcia inverzné trigonometrické funkcie prevrátená variácia kosínusová veta sínusová veta pravidlá počítania s mocninami logaritmické zákony lineárna rovnica NYS Statewide Language RBERN 5
8 linear expression linear systems logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nth term one 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 Pythagorean identities quadrant angle quadratic equation quadratic formula quadratic inequality quadratic trinomial radius range (of a function) rational coefficient rational equation rational expression rational inequality rationalize denominators reciprocal trigonometric functions recursive definition reference angle relation replacement represent restricted domain resultant right triangle trigonometry root of an equation secant (of an angle) lineárny výraz lineárne sústavy logaritmus logaritmický tvar najnižšie výrazy vlastnosti koreňov záporný mocniteľ n-tá odmocnina n-tý člen jeden cyklus trigonometrickej funkcie funkcia jedna na jednu na protiľahlá strana pravouhlého trojuholníka súradnica parabola parameter perióda (funkcie) periodická funkcia fázový posun polynomický výraz polynomická funkcia Mocniny čísla i pytagorické identity kvadrantový uhol kvadratická rovnica vzorec koreňa kvadratickej rovnice kvadratická nerovnica kvadratický trojčlen polomer rozsah (funkcie) racionálny koeficient racionálna rovnica racionálny výraz racionálna nerovnica racionalizovať menovatele prevrátené trigonometrické funkcie rekurzívna definícia referenčný uhol vzťah náhrada, nahradenie predstavovať obmedzená doména výslednica trigonometria pravouhlého trojuholníka odmocnina rovnice sečnica (uhla) NYS Statewide Language RBERN 6
9 sigma notation sine solution set standard position (of an angle) subset sum and product or roots of a quadratic equation sum of an arithmetic series sum of a geometric series systems 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 area of a triangle using SAS circle coefficient function generalize geometric representation of a circular function graph of a relation graphical representation graphical solution of equations investigate ordered pair parabola rational coefficient rectangular coordinates sumačný znak sínus množina riešení štandardná poloha (uhla) podmnožina súčet a súčin alebo odmocniny kvadratickej rovnice súčet aritmetického radu súčet geometrického radu sústava rovníc/nerovníc dotyčnica (uhla) technológia konečná strana uhla transformácia transformácie funkcií a vzťahov trigonometrická rovnica trigonometrické funkcie jednotková kružnica premenná vektor skúška funkcie pomocou kolmice nula funkcie vlastnosť násobenia nulou Geometria absolútna hodnota rovnica s absolútnymi hodnotami nerovnica s absolútnymi hodnotami uhol v normálnej polohe hĺbkový uhol výškový uhol plocha rovnobežníka pomocou SUS plocha trojuholníka pomocou SUS kružnica koeficient funkcia zovšeobecniť geometrické zobrazenie goniometrickej funkcie graf vzťahov grafické znázornenie grafické riešenie rovníc skúmať zoradený pár parabola racionálny koeficient pravouhlé súradnice NYS Statewide Language RBERN 7
10 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 Bernoulli 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 distribution index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measure of dispersion median vzťah odmocnina rovnice výseč kruhu smernica trojuholník vrchol vizualizácia Meranie dĺžka oblúka rozmer uhla rozmer stredového uhla minúta uhlový rozmer Štatistika a pravdepodobnosť najmenej najviac Bernoulliho experimenty vychýlený výber bimodálny binomický vzorec pravdepodobnosti bivariantné údaje centrálna tendencia kombinácia súhrnný jav domnienka riadený experiment korelačný koeficient princíp počítania presne experimentálna pravdepodobnosť extrapolovať početnosť (množiny údajov) distribúcia početnosti zoskupená distribúcia početnosti index v štatistike interpolovať medzikvartilové rozpätie regresívna krivka najmenších štvorcov krivka najlepšej vhodnosti lineárna regresia priemer opatrenie centrálnej tendencie miera rozptylu medián NYS Statewide Language RBERN 8
11 mode normal curve normal distribution observation outlier 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) režim krivka normálneho rozdelenia normálne rozdelenie pozorovanie extrémna hodnota Pascalov trojuholník percentil permutácia pravdepodobnosť kvartily náhodná vzorka rozsah (množiny údajov) regresná rovnica regresný model výberový priestor diagram rozptylu smerodajná odchýlka (populácia) smerodajná odchýlka (vzorka) štatistika prieskum technológia teoretická pravdepodobnosť jednosmerné údaje odchýlka (populácia) odchýlka (vzorka) NYS Statewide Language RBERN 9
12 NYS Grades 9 12 Math Terms Addenda Common Core Math Standard N-RN.B.3 non-zero rational number racionálne číslo nerovnajúce sa nule A-SSE.A.1 difference of squares, example: (a 2 b 2 ) výsledok odčítania druhých mocnín, príklad: (a 2 b 2 ) A-SSE.A.1 square of a difference, example: (a b) 2 druhá mocnina výsledku odčítania, príklad: (a b) 2 A-SSE.B.3 equivalent monthly interest rate ekvivalentná mesačná úroková miera A-CED.A.1 exponential equation exponenciálna rovnica A-CED.A.3 non-viable options (inequalities) nevykonateľné možnosti (nerovnice) A-CED.A.3 viable options (inequalities) vykonateľné možnosti (nerovnice) A-REI.A.1 viable argument vykonateľný argument A-REI.D.12 half-plane polrovina A-REI.D.11 logarithm function logaritmická funkcia F-IF.C.8 piece-wise defined function po častiach definovaná funkcia F-IF.C.8 step function postupná funkcia F-IF.C.8 absolute-value function funkcia s absolútnymi hodnotami F-BF.A.1 recursive process rekurzívny postup F-Bf.B.3 even function párna funkcia F-BF.B.3 odd function nepárna funkcia F-LE.A.1 constant percent rate konštantná percentuálna miera S-ID.B.5 categorical data kategorické údaje S-ID.B.5 joint frequency spoločná frekvencia S-ID.B.5 marginal frequency medzná frekvencia S-ID.B.5 conditional relative frequency podmienená relatívna frekvencia S-ID.B.6 fit of a function vhodnosť funkcie S-ID.B.6 residuals zostatky S-ID.C.8 correlation coefficient korelačný koeficient S-ID.C.8 linear fit lineárna vhodnosť S-ID.C.9 correlation and causation korelácia a príčinná súvislosť S-ID.C8 linearity linearita, lineárnosť S-ID.C8 linear phenomenon lineárny jav N-Q.A.3 data point údajový bod N.C.N.4 complex plane komplexná rovina N.C.N.5 conjugation of complex numbers konjugácia komplexných čísel N-V.M.6 incidence relationship (payoff) incidentný vzťah (výnos) N-Q.A.2 descriptive modeling deskriptívne modelovanie S-REI.A.2 algebraic manipulation manipulácia s algebrickými symbolmi KEYS N-Q = Number & Quantity SSE = Seeing Structures in Expressions RN = Real Number System BF = Building Functions ID = Interpreting categorical and quantitative Data CED = Creating Equations Describing numbers or relationships REI = Reasoning with Equations & Inequality VM = Vectors & Metrix quantities IF = Interpreting Functions ID = Interpreting categorical and quantitative Data APR = Arithmetic with Polynomials & Relational expressions NYS Statewide Language RBERN
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