Algebra 2 Glossary. English Karen

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1 Glossary High School Level Algebra 2 Glossary English Karen Translation of Algebra 2 and Trigonometry terms based on the Coursework for Algebra 2 and Trigonometry Grades 9 to 12. This glossary is to PROVIDE PERMITTED TESTING ACCOMMODATIONS of ELL/MLL students. It should also be used for INSTRUCTION during the school year. The glossary may be downloaded, printed and disseminated to educators, parents and ELLs/MLLs. Please click here for the New York State Office of Bilingual Education and World Languages Webpage on "Assessment and Testing Accommodations" THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Last Updated: October 2018

2 GLOSSARY LANGUAGE ARTS SPANISH 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 Foreign Language Studies 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.... Syracuse NAN EILEEN MEAD, B.A.... Manhattan JOSEPHINE VICTORIA FINN, B.A., J.D.... Albany BEVERLY L. OUDERKIRK, B.S., M.S.... Saratoga ELIZABETH. S. HAKANSON... Onondaga CATHERINE COLLINS, B.S., M.S., Ph.D.... West New York JAMES R. TALLON, R., B.A., M.A.... Binghamton ROGER TILLES, B.A., J.D... Great Neck JUDITH JOHNSON, B.A., M.A., Ed.D.... Mid-Hudson LUIS O. REYES, B.A., M.A., Ph.D.... New York 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 JUDITH CHIN, B.S., M.S.,... Queens KATHLEEN M. CASHIN, B.S., M.S., Ed.D... Brooklyn JAMES E. COTTRELL, B.S., M.D... New York Commissioner of Education President of The University of the State of New York MARYELLEN ELIA Executive Deputy Commissioner ELIZABETH 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, Ethics, and Access, Room 530, Education Building, Albany, NY Requests for additional copies of this publication may be made by contacting the Publications Sales Desk, Room 319, Education Building, Albany, NY NYS LANGUAGE RBE RN AT NYU PAGE

3 algebraically alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically observe parameter strategy verbally argument axiom conclusion conjecture counterexample discover exact answer explain explore general case inductive reasoning Informal indirect proof investigate justify refute Problem Solving Reasoning and Proof bsgqsjwi*hiudcj wixdowi'g;tod; ok;bl;to;vutur:,icd,icd r:oud;wi wixho< rhi'owiw,pugiqdurdowi wiwrh:vutypyedowitqurhwrhir:ch;xdowiwcg rhwrhi wiwrh:vuyubor:td:vuwiobsh wiugj;wjzsgwi*h:'d;wiw*h:boc;ys:twixhowiqdurdowzo< yjpz;ed:z;wi< 'GJv:ulOohwIr:wrH:rH:'D;*k:*: vutysj:od;od;vdpo;vutvkitysh:< edo*hiedo'g;< tcdynd< witug'do'd;t*k:t*: 'k;tdoxdowiqdurdoboc;wiwrh:rh:twitdoysj:th:ysj:ek:< witvkitysh:rhwrhiwitol;tohot*h:ttuvuttdo'd;td: wjeiyui< [hoxdowi*hiwiydi 'k;tdoxdoujxdorhwrhiuwpuwd:wiwrh:rh:vd:whivd:qj;tdo'd;wiyvd IolOyvDIo; vd:vd:qdqdvuwi*hicjvuicjqhtyl: wiwjzsgxdowit*hivuttdoypvd:o;xj (wi*hirhwrhiwit'dps:ud;) boc;'d;wiwhwi< ypzsgwi wjzsgxdowiwrh:rh:tcdynd< uwd:usdpxhusdpwcgqlusdpt*:'fei[ltod; ujxdotcuop;vuwittgt*di boc;'d;edi*hiwzo xhoehi< wdiedozh;cp < ugiedougicgys:w*:*: wiohoquyp< wiwrh:rh:vutbowiquwjptd:< r:edowitquvuwir:td:ehi wiwdpusj:vutbowiwdptd:'fur:ehir:eu:wiwrh: rhwrhi ur:vuysj:wiyndowcg vux;cdotwiuwd: (vutwrhiwiugj;'d;wrhiphiud;wi[l;*j:zh;r:) wi*hiwiusd:'d;witkoto; wi*hivdpbsdvdp < wi*hiwiusd:vutbowi[hoxdo< wiwtuovd:xgj wi*hiwiusd: wivuys:ndekkpyptd:vutrhitwd wiwrh:rh:tuwui t'd-wiph;uwd:tuwui< wiugj;tuwui< wiuwd:vuch wixho< rhi'owiw,pugiqdurdowi wit'dvutypzsgvutwbobo xhoehiqd (wiwrh:rh:) < CkxHOehI(wIclolO) witpuvubo0jvd:whivd:qj; wjeiyui< [hoxdowi*h:wiydi< ujxdowit*hitydivuwiwrh:rh:t*di vj:ckugixhoohong vdiu0d:wwd:rhwrhixhudiwbho vutnddekpujxdor:to; wi*hiwiusd:vut'd;oeh:xdoto;vuwixhowcg witkoo;wvj:0j'ftvkitvitdo0jtod; CdxHuGIxHvD:wHIvD:qJ;wI*hIwzObOC;wItdOto;wrH: 'k;ejozsgxdoys:r:wirhi0jwd0jrhwrhi wirhiwiwd ejozsgvuwith:uro< ph;uwd:vuwiwrh:th:wbobo rhwrhi wwdwmwibo NYS Statewide Language RBERN 1

4 specific result theorem ALGEBRA 2 & TRIGONOMETRY HIGH SCHOOL LEVEL Communication tpuvutypzsgxdowivd:whi< vutvd:qd'owivuwiwrh:t*di wibsurhwrhiwiodowiodtrdoysivd:qd'ovuwi*hiwi'g;vuwiejozsgwi trhitwdoh0j wiqj;usjqj;usd;< wizh;wir:tusd:tusjvutypzsgxdowiqdurdo'd;wio;u vuibowi rhwrhi[hoys:wiupdo accuracy wivd:whivd:qj;< wixhxhq;q; appropriate MuU;0JbO0J< wlivdpoh0jvuwir:to;wrh:rh:t*di< botcu; challenge wiw:< wir:todrhwrhi wiudwicjwcgvut'd;pj;r:ugiys:w*:twiohwibo chart vhpwubsh;rhwrhip;cdwbhovuys:ypzsgxdowitdo'd;wiwh'dvd:wivut yl: coherent (wixho< wiqdurdo< wi*hivdpbsdvdpwzo'd;*k:*: ) vutvj:'ft*hitusd:tdo0jtod;'d; ys:eiyuitd:nd'd;zsgmwuiuvp comprehension wiohongeiyuitw[do conjecture wixho< rhi'owiw,pugiqdurdowi decoding CkohOngwIuwd:vD:bsU diagram wiwugdo'd (pl;ugyedbsuvuwiypzsgxdowivdiwiusj'd;*k:*:) equation wiypzsgxdowiboc;'d;wiypzsdochrh: rhwrhitvkitysh:chcgrhiwixjod;od;vdpo; formula vhprjpzsuowzoedo*hiwzorhwrhiwyedowzovutydpxdotchvutrhiwi bsurhwrhi wiodowiodwzotcuop; function ys:w*:*:rhwrhiwiwrh:rh:twizh;wir:< twiyndovd:vd:qdqdwrh: graph wugdo'd< wiwhwi*d:t'dvuttdo'd;yedwzovutwypzsgxdoyedchbdrhwrhitgehi teho twiboxgjvdpo; interpretation usd:usjvd:qdvuwiwrh:rh:bowieiyuitd:rhwrhibowiwjzsgxdotd: logical argument *hivdpbdvdpwiohqdurdoqdur;twiodowiod mathematical representation boc;'d;wixdowi'g;twiypzsg numerical tables boc;'d;edi*hiedi'g;vhpwd:zsg organize 7JOvD:usJ:vD:vUwIwrH:rH:uuJxDOrhwrhIubOwI[hOtD: outline wit*hirdiysivutbowiypzsgxdo< wituhit*d:xjvuto7h:xh;0;0; rationale (vutwiqdurdoqdur;) tdoolovd:o;vuwi*hiwiyditzdcdowrhivuwiolo[l;o;*j: tzdcdobo reflect wi'k;uh:u'guh:wiuyd:< wiudi< wiuvki'd;wit*k:t*:vuwitrjpzh;cdowcgtvd: standard notation edi*hivubowiypyedotd: strategy wiwdpusj:vutbowiwdptd:'fur:ehir:eu:wiwrh: rhwrhi ur:vuysj:wiyndowcg symbol wiyedo technical writing wiugj;vutboc;'d;wiohwibiwrh:{d: terminology wiuwd:rhwrhiwiypzsgvutbowioltd:vuwir:vdvd:qdwrh: validity wiwlivdptd:oh0j'f(ojp;) wiodowiodtdo0jtod; verbal explanation wiwjzsgxdox;cdotwiuwd: written explanation ypzsgxdowiugj; Connections wiwrh:vut'k;pjbl;wi*hichrh: NYS Statewide Language RBERN 2

5 concept conclusion formulate multiple representation physical model procedure quantitative model representation algebraic representation apply chart communicate compare concept diagram equation explore graph graphical representation investigate mathematical phenomena multiple representations organize physical object physical phenomena recognize record social phenomena symbol table technology translate a+bi form absolute value Representation Number Sense and Operations wiw,pugiwiwrh:{d:<wiqdurdorhwrhiwiodowiodvutboxgjvdp o;'d;wi*hiwrh: wiwrh:rh:tuwui t'd-wiph;uwd:tuwui< wiugj;tuwui< wiuwd:vuch 'k;tdoxdoujxdorhwrhiuwpuwd:wiwrh:rh:vd:whivd:qj;tdo'd;wiyvd IolOyvDIo; vd:vd:qdqdvuwi*hicjvuicjqhtyl: ujxdotcuop;vuwittgt*di wit'dvutboc;'d;edicd wizh;wir:tusjtuyl:< wizh;wir:wi'fth:'fek: wit'dvuys:xdo'g;td: wiypzsgys:w*:rhwrhiwiwrh:vuusjwbdbd wiypzsgys:w*:rhwrhiwiwrh:vuusjwbdbd wiypzsgxdowixdowi'g; ywhxdowiwrh:rh: vhpwubsh;rhwrhip;cdwbhovuys:ypzsgxdowitdo'd;wiwh'dvd:wivut yl: qj;usuqj;usd;wiupdo xdoomwd:wi wiw,pugiwiwrh:{d:<wiqdurdorhwrhiwiodowiodvutboxgjvdp o;'d;wi*hiwrh: wiwugdo'd (pl;ugyedbsuvuwiypzsgxdowivdiwiusj'd;*k:*:) wiypzsgxdowiboc;'d;wiypzsdochrh: rhwrhitvkitysh:chcgrhiwixjod;od;vdpo; vj:ckugixhoohong vdiu0d:wwd:rhwrhixhudiwbho wugdo'd< wiwhwi*d:t'dvuttdo'd;yedwzovutwypzsgxdoyedchbdrhwrhitgehi teho twiboxgjvdpo; wiypzsgboc;wiwhwi CdxHuGIxHvD:wHIvD:qJ;wI*hIwzObOC;wItdOo;wrH: wi*hivd:qdvutboc;'d;wixdowi'g; ujxdotcuop;vuwittgt*di 7JOvD:usJ:vD:vUwIwrH:rH:uuJxDOrhwrhIubOwI[hOtD: wituhit*d: wi*hivd:qdvutboc;'d;edicdedicd ugiedotd:bo< r:edotd:bozjexho< eei[ltd:tcg wiugj;edougj;cgvutbowiypcpyu:cptfd:vuwiuugiuh:'d;pl;ugtd: vucgvuch uoht*di wi7hvdpo;twivd:qd wiyedo pdied:cdo< vhpwd:zsg pj;zdu[oydng wjzsgwiuwd:rhwrhiwiugj;tcdyndqlusdpt*:wrh: a+bi tusd:tusj witvkitysh:vd:whivd:qj; wiohongeiyuiedo*hi'd;wizh;wir: NYS Statewide Language RBERN 3

6 complex fraction edi*hiulpvutbhblcgckp complex number edi*hobhobkovdoto; conjugate ypzsgxdo0dituhit*d:vd:qdwzo<vutvd:yvdpto;'d;tedo*hi direct variation wivd:qdvdpo;wbsdwrh:wbsdwrh: e tjuvh;tvhprjpzsuo,jizsuowzsuo fractional exponent wivutwjzsgxdowibsjo rhitjuvh;tvhprjpzsuocghzsuowzsuo imaginary number edi*hiqdurdo index of a radical wiugj;zsgxdowivuttdougj;to;wrh:boc;'d;witcdoxh; inverse variation wivd:qdvuttdou'gcdoch irrational number edi*hivuwi'k;ejozsgtd:vd:whiwoh negative exponent edi*hivutbowied:z;td:tbsdwzotbsd nth root wir:ujxdowichq; operation wiugj;wiug< edi*hiedi'g;twir: pi *7H;vHPrJPzsUOwqHCkzsUOwzsIO powers of i wipdwiurd:< witw[do< wi*hiwibg< i tuxuwzo principal square root t'dotxduwui< tcdousuichq;< wichuxutcdoxh; twiodowiod procedure wizh;wir:tusjtuyl:< wizh;wir:wi'fth:'fek: radical vutboc;'d;wiwrh:rh:tcdoxh;cdobd'd;vutug'douwuiwzovutvh :wk:vh:wd: 'D;vU0JySJ:0J< edi*hiuxutcdoxh; radical form vutboc;'d;wiwrh:rh:tcdoxh;cdobd'd;vutug'douwuiwzovutvh :wk:vh:wd: 'D;vU0JySJ:0JtuvkP< edi*hiuxutcdoxh; t'd radicand wichq;vutboc;'d;witcdoxh; rational number edi*hivutvd:yvdpo;'d;wiohongeiyui rationalize a denominator ypzsgwitpjvutboc;'d;edi*hiohowzo real number edi*hitediudi scientific notation pjthowiypyedoedi*hitusd:tusj sigma cdr;vhpzsuowqhcd;zsuowzsuo< phouro sigma notation cdr;vhpzsuowqhcd;zsuowzsuotwiuyedo< phouro wiyedooed Algebra wi'g;tyedo abscissa xdo'g;wip;xdovurlxh; absolute value witvkitysh:tvutysj: absolute value equation wir:ysj:od;xdo witvkitysh:tvutysj: absolute value function wizh;wir:vutvuysj:'d;witvkitysh: absolute value inequality witvkitysh:wwk:tdovdpo; adjacent angles witeuo vutbl; adjacent sides wiuy: vutbl; algebraic expression wi'g;tyedovutypzsgxdowi algebraic representation r:cuop;wivuwi'g;tyedotvdi ambiguous case wir:to;vutcdyndwvd:whibo amplitude wi[l;*j:< wivdivjo< wi'doxdo analyze CdxHCkohOngwIwrH:rH:< ed:cdoz;'h angle wioeuo angle in standard position witeuowcgtdovuys:ypyedowitvdi angle of depression witoeuo vuttdo vu wixho'd; wiwrh:tdotvdi NYS Statewide Language RBERN 4

7 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 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 r:*h:'doxdowitoeuo edi*hivutboc;'d;vdo*7uooo bl;uvdiwhivuwitvkitysh: wiu0d:wcd'htxd wiu0d:wcd'hvutboc;'d;wivuttdo'd;teuooueuo wiu0d:wcd'hvutboc;'d;wivuttdo'd;teuovghieuo wiu0d:wcd'hvutboc;'d;wivuttdou0d:o; teuovghieuotbuou0d: cdzsd SAS teuooueuotbuou0d: cdzsd SAS wi*hiwi'g;ydpxgjxdoto;wrh:0h:wrh: wi*hiwi'g;ydpvdptchwrh:bowrh: wibsuwcgvutwuh:boxh;vdpo; witcdoxh; boxgjvdpo;vuvdo*7uooowizh;wir:tcdoxh; boxgjvdpo;vuwixdowi'g;edo*hichq;tcdoxh; wir:tgxdowi'g;edo*hiohowzo wir:tgxdowi*hiwi'g;tusjoel witdou0d:ysj:'fod;od;'d;ugd:z;ulptcuoo; toeuovutdovuto;uhiyl: witbhotyu:vuttdou0d:usd: vuttdo'd;wituhit*d:tu0d:usd: wivutr:tgxdoedo*hi r:tgxdowi[l;wi*j: witcdoxh;vutboc;'d;ys:cjvup wivd:qdvdpo;< w'fod;vdpo; edi*hied:z;wivutboxgjvdpo; vkivivutboxgj'd;wixdowi'g; witp;omwd:vuwichcgtbuopu: wir:vuysj:euobovghiuel:cl ypzsgxdoedi*hiulpvuteiyuitd:ud wiugj;xuzsdoypzsdotwizh;wir:tusd:tusj bowi'k;ujxdotd:vuwiwrh:rh: vutujxdoto;wy,lpcd< vuttdophptdousu:< vuwitdoo;wqdwvj boxgj'd;teuovghieuo boxgj'd;teuovghieuo teuovuw'd;oeh:to;'d;tuy:bo 'HIu7HOvUtbOxGJ'D;wIxdOwI'G; euobovghiuel:clchcgvutvd:qdvdpo;vd:whi wiqdwvjvd:vd:bsubsu yjpz;ed:z;< ugiwvd:< ugirjpwi wiohongeiyuiwirhwrhiwi[l;*j:zh;r:tbuou0d: chq;'d; oeuowcd tusd:tusjvu MxHOudPeDOrJ;x7h; wivj:o;t*di wichuxutcdoxh; tjuvh;tvhprjpzsuo,jizsuowzsuo NYS Statewide Language RBERN 5

8 equation wiypzsgxdowiboc;'d;wiypzsdochrh: rhwrhitvkitysh:chcgrhiwixjod;od;vdpo; equivalent forms wivut'fod;od;vdpo;< vutysj:od;od; wit'd exact value witvkitysh:vd:whi expand a binomial r:,lpxdovjixdoedi*hiuxu explicit definition ypzsgxdowi*hitcdyndvd:whivd:qj; exponential form wit'dvutbowiypzsgtd:vuedo*hiuxu exponential function witusd:tusjvutbowiypzsgtd:vuedo*hiuxu extraneous root vuwboxgj'd;edo*hicdoxh; factor wiwrh:vuwitgrh:tusgvut'k;ujxdorhwrhivkibuwiwrh:rh: fractional exponent vutboc;'d;edo*hiuxurhwrhiedo*hiulp frequency (of a periodic function) wir:to;cjth:cjth:< function wiwrh:rh:wizh;wir:< wiyndo vd:vd:qdqdwrh: function notation wiyedooed geometric sequence 7JOusJ:wItdO'D;*hIusd:vUtbOC;'D;wIxdOwJPwI geometric series wixdowjpwitwiydpxgjxdotch graphical solution of equations wiugj;zsgxdowitputboc;'d;wiwhwi*d: greatest common factor (GCF) edi*hied:z;wivutboxgjvdpo;t'douwui(gcf) growth factor wi*hivut'k;'doxdowi*hiwrh:rh: half life,leh;tvkityv:w0p i rhitjuvh;tvhprjpzsuocghzsuowzsuo identities wiypzsgxdowivutrhirw:tujrek: initial side of an angle witeuocdoxh; inverse function vjvdpbd;u'gughpwi inverse trigonometric functions vjvdpbd;u'gughpwixdowi'g;teuowzo inverse variation wiqdwvjvutvjvdpbd;u'gughpo; law of Cosines wicsh;chtwiodowiod laws of Sines MxHOudOeDOrMxHOtusd:tusJvUtxJod;'D;wIoeUOvUwI[hOyPtD:wu y:twicsh;ch twiodowiod laws of exponents edo*hiuxutwiodowiodrhwrhiwiwjzsgxdowiqdurdo laws of logarithms vdou7uoootwiodowiod linear equation wir:ysj:od;wivut[j'fedo*hi7jotod; linear expression wi[l;*j:r:zsgxdowivut[j'fedo*hi7jotod; linear systems wi7jowiusj:twir:usjwizh;wir:tusj{d:uyl:{d:vut[j'fedo*hi7jot od; logarithm vdou7uooo logarithmic form vdou7uooorh;t'd lowest terms vutzdvpuwdi nature of the roots edo*hitcdoxh;tehquo negative exponent edi*hivutbowied:z;td:tbsdwzotbsd nth root wir:ujxdowichq; nth term wit*hibowiypvd:vuwituovd:tdvd:t*di one cycle of a trigonometric function wiu0d:vutboc;'d;witeuowzo one to one function wcg'd;wcgtwizh;wir: onto vutzdcdo opposite side in a right triangle teuooueuovutugiquorjpvdpto;vuttdoocd;vdpto; ordinate wixdo'g;witzdcdotcdoxh; NYS Statewide Language RBERN 6

9 parabola parameter ALGEBRA 2 & TRIGONOMETRY HIGH SCHOOL LEVEL 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) 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 yedouhougd: wiyedotwugdo< wiohoquypwiwrh:rh:vutbowiquwjptd:rhwrhir:edo witquvuwir:td:ehirhwrhioh witquuwdiwuwdi vutujxdoboqubouwdiwbsdbowbsd wituhit*d:tzsg0jvutok;tvdi ypzsgxdowivuttgehiedo*hichusd: edo*hichusd:twitdoo; wipdwiurd:< witw[do< wi*hiwibg< i twi*hitgxdo tuxu ypzsgwiteuowzorhiwi'fod;od; witeuovghizkwzk edo*hichuxutwi'fod;vdpo; edo*hichuxutvkitvi edo*hichuxuwiwwk:od;vdpto;bo edo*hichuxuboc;'d;teuooueuo ugd:z;ulp< 7JOvD:w*hI*hI<'k;bOC;to;'D;yS:wzk tdoolovd:o;vuwir:tgxdoedo*hitzdcdo tdoolovd:o;vuwirhiwi'fod;od;tzdcdo ypzsgwitdoolovd:o;tzdcdo witdoolovd:o;wwk:tdovd:o;bo 'k;ujxdoedo*hiulpvutzdvp witeuovutr:bsk;vdpo;,pcd,pcd wiboxgjboc;vdpo;tcdynd ypzsgxdowiteuo'd;oeh:vdpto; wi7hvdpo;< tbl;twhi ypu'guh:tvdi< [houh:tpg witcuop; wiyuwijy;twizdoch;td: ujxdoto; wixdowi'g;witeuooueuowzo wichuxutwi'fod; witeuotwicsh;ch cdr;vhpzsuowqhcd;zsuotwiyedooed MxHOudOedrMxHOtusd:tusJvUtxJod;'D;wIteUOvUwI[hOyPtD:wuy: twicsh;ch ypvd:usj:vd:witpj witvdivutrhiwi'fndekitod; vut0jtdotdo0jtod;ys:t*:phiud;tdo0j ypzsdo'd;xk;xdorhwrhiedo*hichuxuvghizkwzktwi'fod;od; wiypzsdowi*hiwi'g;twiydpxgj wiypzsdovutboc;'d;wixdowiwjpwitwiydpxgj wi7jowiusjtwi'fod;od; (wi*hiwi'g;) yedvutboxh;vdpto;'d;witeuoboqow*pwjp0jbo pj;zdu[oydng witeuovutboc;'d;wituwui NYS Statewide Language RBERN 7

10 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 relation root of an equation sector of a circle slope triangle vertex visualization arc length degree measure measure of central angle minute Measurement wivuvdpwituhit*d: wivjvdpwituhit*d:twirhiwi'd;twibixgj witeuovutwirhiwi'fod;od; witeuotwirhiwi witdou0d:,l;eh; wir:to;tuvkpuvkp< wir:to;vuwiw,ptd:wbo wiwcgvutdo'd;tedo*hitg wir:ugiwitusd:vuttdo'd;tywdivutxduwui<tcuoo;'d;tch'; wir:vuwrhiwiedwrh: wipkvdicdocdowtdoedwrh:vundekiwiuqgtd:t*di wi*hiwi'g;t'hvutboc;'d;wixdowi'g;'d;wiboxgjvdpo; 'D;wIwd:wIbsU witvkitysh:tvutysj:vupvupqhqh ypzsgwitvkitysh:tvutysj:rhiwi'fod;od; witvkitysh:tvutysj:wxjod;wk:od;vdpo; witeuovuttdovuwiyedotvdiwcg witeuovuwiugivd:vd:vd:qlwizdvp witeuovutupd:xdoxd teuovghieuotbuou0d: SAS teuooueuotbuou0d: SAS wiu0d:usd: wir:tgxdoedo*hi edi*hiedi'g;wizh;wir:< wioloq;o;q; 'k;boc;uh:wivuwitgrh: wiu0d:usd: tusd:tusj twixdowiwjp twiypzsgxdo vhpwd:nyhtwiboxgj wi[howit'dvutboc;'d;wiwhwi*d: wiugj;zsgxdowitputboc;'d;wiwhwi*d: vkiugickohongwit*hi wir:vdpvutuujxdowiwcg yedouhougd: tdoolovd:o;vuwir:tgxdoedo*hitzdcdo 'k;bovdpzd;'hwituhit*d:tdo'd;tuy:bsuvghiuy: wi7hvdpo;< wiboxgjvdpo; wichuxutwi'fod; ugd:tulptuh<witoeuo< witvdiu0d: vd:bh vuttdo'd;teuooueuo witcdoxd;< witpd;eg<witpdcdo wixhowivuo;trjp wiu0d:wcd'htxd xdoedowjpedowitywdi xdoedowjpedowiteuoto;uhiyl: qh;udpzd< rh;eh; xdoedowjpedo NYS Statewide Language RBERN 8

11 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 mode normal curve normal distribution observation outlier Pascal s triangle percentile permutation probability quartiles random sample range (of a data set) regression equation wixdoedowjpedowitoeuo edo*hip7d'd;wivitzsgvuur:to; vutps: tguwui wir:ugiwzovuttdo'd;tpuchcg wit'dvuturo wi7:vd: vuttdo'd; tusd:tusj w'h;od;vdpo; ypzsgwiypzsdoxk;ughpedo*hitpuvutuujxdotusd:tusj wiboc;'d; wiqdwvj twixuzsdo wivutrdoujxdowito;uhiyl: witdousjousdvdpto; ypzsdor:to; w,pwi<vd:*pboys: yuqsu7jousjwir:ugi wiboxgjvdpo;vuwir:tgxdoedo*hi wi*hiwi'g;twiodowiodtrdiysi vd:whivd:qj; wir:ugitwiujxdo qdurdow,pugi wir:to;ujxdocjth:cjth: wi[hoed:wicjth:cjth: u7livu[hoed:wicjth:th: vhp7hoxh;edo*hip7d ugj;'uekpwitodvd:qdvuys:*:twiugj;tyl: wied:z;vghicgt7jovd:w*hiw*hi edo*hichuxut*k:qltvdichqlwitps:uwui tusd:t*h:uwuivutbovdpto; wi*k:uh:qltvdichvut[j'fedo*hi7jotod; tcdynd< wixdocledi*hi wixdoedowjpedowivutrdoujxdoto;to;uhiyl: xdoedowjpedowivutvd:jyhjyg edi*hitdovuwicuoo; edi*hitvkitvitusjtuyl: ypzsgwivundekiuhousd: (t'dvd:*p'uvgj) yozsgwivutbic;ndekiuhousd:< (t'dvd:*p'uvgj) wiugiefdougicgwi<wixho< wiph;wiuwd: ys:w*:vutw'd;oeh:to;'d;ys:*: edi*hitwi7jovd:o;'fteuooueuotod; boc;'d;u7liwu7libowu7li bdxdou7li'd;ok;usu:ehitvditusj rhir:to;ndu'o< vutvd:*pur:to; wied:z;vghiylysj:od;od; wit'dvutujxdoo;zjtbo;o;0j 7JOvD:w*hI*hI wir:ysj:od;wi[juh:qltvdich<witcdoxh; NYS Statewide Language RBERN 9

12 regression model sample space scatter plot standard deviation (population) standard deviation (sample) statistics survey technology theoretical probability univariate data variance (population) variance (sample) wit'dvut[juh:u'guh:qlwitcdoxh; wivdit'd r:nyhjyg [DOcdOwu0D: ypzsgys;wzk;'d;wzktwitdoo;w'fod; wiyedovuwvd:usjvd:tyl: wiugj;edougj;cg (tdof'd;edo*hiwzovut'k;ejowitdoqh;tgqh;tgp7d) [;qsougiwivdiwiusj< ugixhqdurdot*hi pj;zdu[oydng (vutrhixj) wiqdurdo'd;epvuwimuu;r:wi'fvjo'fvjotwibsu wixdo'g;twivd:yvdp wivd:qdvdpo; wiw'fod;vdpo;twivd:qd NYS Statewide Language RBERN 10