Glossary. Algebra 2 Glossary. English / Kinyarwanda. High School Level
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1 High School Level Glossary Algebra 2 Glossary English / Kinyarwanda 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: April 2018
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 Gukora amahurizo mu buryo bw'alijebure ubundi buryo gukorana ukwibwira imbogamizi isuzuma bingana na gusuzuma gusobanura kwandika inzira gukoresha hose mu mbonerahamwe gusobanura ibishushanyo bitandukanye mu buryo bw'imibare kwitegereza ikigenderwaho ingamba mu magambo Inzira n'umugabo ingingo ihame umwanzuro ukwibwira ihakanarugero kuvumbura igisubizo nyacyo gusobanura kurondora imiterere rusange inyurabitekerezo Umugabo utarasuzumwa neza kugenzura gusobanura kuvuguruza igisubizo gihamye ihame Itumanaho ukuri nyako kiboneye imbogamizi imbonerahamwe 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 bisobanutse isobanukirwa ukwibwira isesengura imbonerahamwe inganyagaciro ihinamvugo fongisiyo igishushanyo igisobanuro ingingo nyurabwenge kugaragaza mu mibare imbonerahamwe z'imibare gutunganya kuvuga mu ncamake ishingiro gutekereza kwandika bisanzwe ingamba ikimenyetso inyandiko y'abahanga amuga agaciro ibisobanuro mu magambo ibisobanuro byanditse Amahuriro igitekerezo umwanzuro kwandika inzira kugaragaza mu buryo butandukanye igishushanyo mbonera uburyo igisobanuro mibare igaragaza Igaragaza igaragaza muri aligebure gukoresha imbonerahamwe gutumanaho kugereranya igitekerezo imbonerahamwe inganyagaciro kurondora NYS Statewide Language RBERN 2
5 graph igishushanyo graphical representation igaragaza mu gishushanyo investigate kugenzura mathematical phenomena imibare multiple representations ibishushanyo bitandukanye organize gutunganya physical object ikintu gifatika physical phenomena ibintu bigaragara recognize kumenya record kwandika social phenomena imibanire symbol ikimenyetso table imbonerahamwe technology ikoranabuhanga translate gusemura inyandiko Number Sense and Operations Igisobanuro cy'imibare n'uko ikorwa a+bi form uburyo bwa a+bi absolute value agaciro ndakuka complex fraction umugabane nkomatane complex number umubare w'inyunge conjugate gusobanura ikimenyetso direct variation isano ry'imibare ritaziguye e e fractional exponent ubwikube bw'umugabane imaginary number umubare muhimbano index of a radical ubwikube bw'umwikubekabiri inverse variation isano ry'imibare ricuritse irrational number umubare udashira negative exponent ubwikube buruta zeru nth root ubwikube runaka operation igikorwa pi pi powers of i ubwikube bwa i principal square root ubwikubekabiri nyabwo procedure uburyo radical ubwikubekabiri radical form uburyo bw'ubwikubekabiri radicand umubare wikuba kabiri rational number umubare ushira rationalize a denominator guhindura icyita ikibara real number umubare nyawo scientific notation ikimenyetso cya siyansi sigma sigima sigma notation imyandikire ya sigima 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 Alijebure abusisi agaciro ndakuka inganyagaciro y'uduciro ndakuka fongisiyo y'umubare ndakuka ubusumbane bw'imibare ndakuka imfuruka zihuje inguni impande zegeranye inyandiko y'alijebure igaragaza muri aligebure uburyo butera urujijo ubuhagarike gusesengura imfuruka imfuruka ihagaze neza imfuruka yinjiramo imfuruka isohoka antilogaritime ikigeraranyo cy'umubare uburebure bw'agaheto kosinisi y'agaheto sinisi y'agaheto tanjante y'agaheto ubuso bw'ingirwamwashi hakoreshejwe SAS ubuso bwa mpandeshatu hakoreshejwe SAS imibare ikurikirana uruhererekane rw'imibare asimputote imbata imbata ya fongisiyo ya logaritime imbata ya fongisiyo y'ubwikube gukora ihurizo rya binome ihame rya binome inganyagaciro y'akarambararo k'uruziga imfuruka yo hagati uruziga fongisiyo ruziga umubare nkubishwa fongisiyo mpuzasano imbata rusange ikinyuranyo rusange umubare ngabanyika rusange logaritime rusange igipimo rusange kuzuza muri kare 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 imigabane nkomatane imiterere ya fongisiyo inyungu ishamikiranye fongisiyo idahinduka kosekante kosinisi kotanjante dogere y'igiteranyo cy'imibare myinshi ikinyuranyo cya kare ebyiri nyazo isano ry'imibare ritaziguye ivangura urwego inzira ebyiri cyangwa z'ibice muri fongisiyo ya tirigonometiri ubwikubekabiri bubiri e inganyagaciro ibingana umubare nyawo gukora ihurizo rya binome insobanuro isobanutse uburyo bw'ubwikube fongisiyo y'ubwikube ubwikubekabiri bw'inyongera umubare ngabanyika ubwikube bw'umugabane ubwisubire (ya fongisiyo igaruka) fongisiyo imyandikire ya fongisiyo urukurikirane rwa jewometiri uruhererekane rwa jewometiri igishushanyo cy'inganyagaciro umubare nyabanyika uruta indi (GCF) ubwiyongere bw'umubare ngabanyika icyakabiri i indanga uruhande rubanza rw'imfuruka fongisiyo icuritse fongisiyo za tirigonometiri icuritse isano ry'imibare ricuritse itegeko rya kosinisi amategeko ya sinisi amategeko y'ubwikube amategeko ya logaritime inganyagaciro murongo 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) inyandiko murongo sisitemu mirongo logaritime uburyo bwa logaritime ingero ntoya cyane ikiciro cy'ubwikubekabiri ubwikube buruta zeru ubwikube runaka umubare runaka inzira ya fongisiyo ya tirigonometiri fongisiyo ku yindi kuri urundi ruhande rwa mpandeshatu ndinganire umubare ku mpembe ya Y parabore ikigenderwaho inzira (ya fongisiyo) fongisiyo yisubiramo guhindura onde polinome fongisiyo ya polinome Ubwikube bwa i Indanga za Pitagore imfuruka igoroye inganyagaciro y'imibarwa ine inzira y'ubwikubekabiri ubusumbane bw'ubwikubekabiri tirinome y'ubwikubekabiri umurambararo ingano (ya fongisiyo) umubare nkubishwa nyawo inganyagaciro y'umubare nyawo umubare nyawo ubusumbane bw'umubare nyawo guhindura ibyita ibibara fongisiyo za tirigonometiri zigaruka insobanuro igaruka imfuruka fatizo isano isimbura kugaragaza imibare yo muri fongisiyo gusa igisubizo tirigonometiri ya mpandeshatu nyayo ubwikubekabiri bw'inganyagaciro sekante (y'imfuruka) 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 imyandikire ya sigima sinisi ibisubizo imfuruka ihera ku mpembe ya X agatsinda igiteranyo n'igikuba cg ubwikubekabiri bw'inganyagaciro y'imibarwa ine igiteranyo cy'uruhererekane mibare igiteranyo cy'uruhererekane rw'imibare yikuba sisitemu y'inganyagaciro/ubusumbane tanjante (y'imfuruka) ikoranabuhanga impera y'imfuruka impinduka impinduka za fongisiyo n'amasano inganyagaciro ya tirigonometiri fongisiyo za tirigonometiri uruziga rw'ibyabumwe impinduragaciro vegiteri isuzuma ry'umurongo uhagaze zeru ya fongisiyo itegeko ry'igikubwa zeru Jewometiri agaciro ndakuka inganyagaciro y'imibare ndakuka ubusumbane bw'imibare ndakuka imfuruka ihagaze neza imfuruka yinjiramo imfuruka isohoka ubuso bw'ingirwamwashi hakoreshejwe SAS ubuso bwa mpandeshatu hakoreshejwe SAS uruziga umubare nkubishwa fongisiyo gukoresha hose igaragaza rya tirigonometiri rya fongisiyo rusiga igishushanyo cy isano igaragaza mu gishushanyo igishushanyo k'inganyagaciro kugenzura imibare ibiribiri ikurikirana parabore umubare nkubishwa nyawo inguni z'urukiramende 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 isano ubwikubekabiri bw'inganyagaciro igipande cy'uruziga agacuri mpandeshatu ihuriro iroramashusho Ibipimo uburebure bw'agaheto dogere ibipimo by'imfuruka rwagati umunota ibipimo by'impuzampembe Ibarurishamibare n'icungamahirwe nibura ntarengwa ihame rya Bernoulli urugero rubogamye uburyo bubiri inzira y'igereranya rya binome amakuru y'ibyiciro bibiri kwegera impuzandengo ihuza imberarimwe ukwibwira igerageza rigenzurwa umubarwa huriro ihame ryo kubara mahwi igereranya ry'igerageza gukoresha ahandi ubwisubire (bw'itsinda ry'imibare) igishushanyo cy'ubwisubire igishushanyo gikomatanya ubwisubire igipimo cy'ibarurishamibare kugereranya ikigero cy'impuzandengo umurongo mpuzamibare umurongo ngaragazamakuru umurongo ndangasano impuzandengo umubare wegera impuzandengo igipimo cy isandaguza impuzampembe 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) umubare ngaruka kenshi ubuhete busanzwe isaranganya risanzwe ibigaragara umwihariko mpandeshatu ya Pascal ijanisha ihinduranya icungamahirwe ibyakane urugero rufatiweho ikigereranyo (y'itsinda ry'imibare) inganyagaciro ngaruka ubwoko ngaruka umwanya rugero igishushanyo ngaragazamakuru ikinyuranyo mubare (abakorerwaho ubushakashatsi) ikinyuranyo mubare (urugero) ibarurishamibare ubushakashatsi ikoranabuhanga icungamahirwe bumenyi amakuru kiciro kimwe ikinyuranyo (abakorwaho ubushakashatsi) ikinyuranyo (urugero) 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 umubare mbyaramugabane utari zeru A-SSE.A.1 difference of squares, example: (a 2 b 2 ) ikinyuranyo cy'imibare kare, urugero: (a 2 b 2 ) A-SSE.A.1 square of a difference, example: (a b) 2 ikinyuranyo kikuba kabiri, urugero: (a b) 2 A-SSE.B.3 equivalent monthly interest rate inyungu ya buri kwezi bingana A-CED.A.1 exponential equation inganyagaciro y'ubwikube A-CED.A.3 non-viable options (inequalities) uduciro tutari tutari nyatwo (imibare itangana) A-CED.A.3 viable options (inequalities) uduciro nyatwo (imibare itangana) A-REI.A.1 viable argument ingingo nyayo A-REI.D.12 half-plane icyakabiri A-REI.D.11 logarithm function fongisiyo ya logaritime F-IF.C.8 piece-wise defined function fongisiyo igenwa n'ibice F-IF.C.8 step function fongisiyo y'urwego F-IF.C.8 absolute-value function fongisiyo y'umubare uruta zeru F-BF.A.1 recursive process isubiraburyo F-Bf.B.3 even function fongisiyo ndinganire F-BF.B.3 odd function fongisiyo giharwe F-LE.A.1 constant percent rate ijanisha ridahinduka S-ID.B.5 categorical data imibare byiciro S-ID.B.5 joint frequency ubwisubire nkomatane S-ID.B.5 marginal frequency igiteranyo cy'ubwisubire bw'igisubizo S-ID.B.5 conditional relative frequency umugabane w'ubwisubire bw'igisubizo S-ID.B.6 fit of a function fongisiyo nyayo S-ID.B.6 residuals ibisigaye S-ID.C.8 correlation coefficient umubarwa huriro S-ID.C.8 linear fit umurongo ndangagaciro S-ID.C.9 correlation and causation ihuriro n'impamvu S-ID.C8 linearity imitondekerwe S-ID.C8 linear phenomenon ikerekezo murongo N-Q.A.3 data point igipimo nshingirwaho N.C.N.4 complex plane ikinyampande nkomatane N.C.N.5 conjugation of complex numbers ikomatanya ry'imibare nkomatane N-V.M.6 incidence relationship (payoff) isano mpuriranye (imperekeza) N-Q.A.2 descriptive modeling isobanurampamvu S-REI.A.2 algebraic manipulation gukora ihurizo ry alijebure 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 KEYS 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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