Algebra & Trigonometry y Glossar - NYU...

12
High School Level Algebra & Trigonometry Glossary English / Karen Glossar y 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: November 2016 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

Transcript of Algebra & Trigonometry y Glossar - NYU...

High School Level

Algebra & TrigonometryGlossary

English / Karen

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: November 2016

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

NYS LANGUAGE RBE‐RN AT NYU  PAGE 1  2012 

GLOSSARY  ENGLISH LANGUAGE ARTS  ENGLISH ‐ SPANISH

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

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 

  

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 12234. Requests for additional copies of this publication may be made by contacting the Publications Sales Desk, Room 319, Education Building, Albany, NY 12234.

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL

NYS Statewide Language RBERN      1 

ENGLISH KAREN

Problem Solving bSgqSJwI*hIuDcJ

algebraically  wIxdOwI'G;tod; alternate approach  ok;bl;to;vUtur:,IcD,IcD collaborate  r:oud;wI conjecture  wIxHO< rhI'OwIw,PuGIqdurdOwI constraint  wIwrH:vUtyPyeDOwItqUrhwrhIr:CH;xDOwIwcg rhwrhI

wIwrH:vUyubOr:tD:vUwIobsh critique  wIuGJ;wJzsgwI*h:'D;wIw*h:bOC;yS:twIxHOwIqdurdOwzO<

yJPz;eD:z;wI< 'GJv:ulOohwIr:wrH:rH:'D;*k:*: equivalent  vUtySJ:od;od;vdPo;vUtvkItySh:< eDO*HIeDO'G;< tcDynD<

wItug'dO'D;t*k:t*: evaluate  'k;tdOxDOwIqdurdObOC;wIwrH:rH:twItdOySJ:tH:ySJ:ek:<

wItvkItySh:rhwrhIwItol;tohOt*h:ttUvUttdO'D;tD: explain  wJeIyUI< [hOxDOwI*hIwIyDI formulate  'k;tdOxDOuJxDOrhwrhIuwPuwD:wIwrH:rH:vD:wHIvD:qJ;tdO'D;wIyvD

IolOyvDIo; vD:vD:qDqDvUwI*hIcJvUIcJqhtyl: generalization  wIwJzsgxDOwIt*hIvUttdOyPvD:o;xJ (wI*hIrhwrhIwIt'dpS:ud;) graphically  bOC;'D;wIwhwI< yPzsgwI interpret  wJzsgxDOwIwrH:rH:tcDynD< uwd:usdPxHusdPwcgqlusdPt*:'feI[ltod; multiple representations  uJxDOtcUOp;vUwIttgt*DI numerically  bOC;'D;edI*HIwzO observe  xHOehI< wdIeDOzH;CP < uGIeDOuGICgyS:w*:*: parameter  wIohOqUyP< wIwrH:rH:vUtbOwIqUwJPtD:<

r:eDOwItqUvUwIr:tD:ehI strategy  wIwdPusJ:vUtbOwIwdPtD:'fur:ehIr:eU:wIwrH: rhwrhI

ur:vUySJ:wIyndOwcg verbally  vUx;cdOtwIuwd: (vUtwrhIwIuGJ;'D;wrhIphIuD;wI[l;*J:zH;r:)

Reasoning and Proof wI*hIwIusd:'D;wItkOto;

argument  wI*hIvdPbSDvdP < wI*hIwIusd:vUtbOwI[hOxDO< wIwtUOvD:xGJ wI*hIwIusd:

axiom  wIvUyS:nDekkPyPtD:vUtrhItwD conclusion  wIwrH:rH:tuwUI t'd-wIpH;uwd:tuwUI< wIuGJ;tuwUI<

wIuwd:vUcH conjecture  wIxHO< rhI'OwIw,PuGIqdurdOwI counterexample  wIt'dvUtyPzsgvUtwbObO discover  xHOehIqd (wIwrH:rH:) < CkxHOehI(wIclolO) exact answer  wItpUvUbO0JvD:wHIvD:qJ; explain  wJeIyUI< [hOxDOwI*h:wIyDI< uJxDOwIt*hItyDIvUwIwrH:rH:t*DI explore  vJ:CkuGIxHOohOng vDIu0D:wwD:rhwrhIxHuDIwbhO general case  vUtnDdekPuJxDOr:to; inductive reasoning  wI*hIwIusd:vUt'd;oeh:xDOto;vUwIxHOwcg Informal indirect proof  wItkOo;wvJ:0J'ftvkItvItdO0Jtod; investigate  CdxHuGIxHvD:wHIvD:qJ;wI*hIwzObOC;wItdOto;wrH: justify  'k;eJOzsgxDOyS:r:wIrhI0JwD0JrhwrhI wIrhIwIwD refute  eJOzsgvUwItH:urO< pH;uwd:vUwIwrH:tH:wbObO rhwrhI

wwDwMwIbO

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               2  

ENGLISH  KAREN 

specific result  tpUvUtyPzsgxDOwIvD:wHI< vUtvD:qD'OwIvUwIwrH:t*DI theorem  wIbsUrhwrhIwIodOwIoDtrdOySIvD:qD'OvUwI*HIwI'G;vUwIeJOzsgwI

trhItwDoh0J

Communication wIqJ;usJqJ;usd;<

wIzH;wIr:tusd:tusJvUtyPzsgxDOwIqdurdO'D;wIo;uvUIbOwI 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;yedwzOvUtwyPzsgxDOyedcHbdrhwrhItgehItehO 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:

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               3  

ENGLISH  KAREN 

concept  wIw,PuGIwIwrH:{d:<wIqdurdOrhwrhIwIodOwIoDvUtbOxGJvdPo;'D;wI*hIwrH:

conclusion  wIwrH:rH:tuwUI t'd-wIpH;uwd:tuwUI< wIuGJ;tuwUI< wIuwd:vUcH

formulate  'k;tdOxDOuJxDOrhwrhIuwPuwD:wIwrH:rH:vD:wHIvD:qJ;tdO'D;wIyvDIolOyvDIo; vD:vD:qDqDvUwI*hIcJvUIcJqhtyl:

multiple representation  uJxDOtcUOp;vUwIttgt*DI physical model  wIt'dvUtbOC;'D;eDIcd procedure  wIzH;wIr:tusJtuyl:< wIzH;wIr:wI'ftH:'fek: quantitative model  wIt'dvUyS:xdO'G;tD: representation  wIyPzsgyS:w*:rhwrhIwIwrH:vUusJwbdbd

Representation  wIyPzsgyS:w*:rhwrhIwIwrH:vUusJwbdbd

algebraic representation  wIyPzsgxDOwIxdOwI'G; apply  ywHxDOwIwrH:rH: chart  vHPwubsH;rhwrhIp;cdwbhOvUyS:yPzsgxDOwItdO'D;wIwh'dvD:wIvUt

yl: communicate  qJ;usUqJ;usd;wIupDO compare  xdOoMwD:wI concept  wIw,PuGIwIwrH:{d:<wIqdurdOrhwrhIwIodOwIoDvUtbOxGJvdP

o;'D;wI*hIwrH: diagram  wIwuGDO'd (pl;ugyedbsUvUwIyPzsgxDOwIvDIwIusJ'D;*k:*:) equation  wIyPzsgxDOwIbOC;'D;wIyPzSdOcHrH:

rhwrhItvkItySh:cHcgrhIwIxJod;od;vdPo; explore  vJ:CkuGIxHOohOng vDIu0D:wwD:rhwrhIxHuDIwbhO graph  wuGDO'd<

wIwhwI*D:t'dvUttdO'D;yedwzOvUtwyPzsgxDOyedcHbdrhwrhItgehItehO twIbOxGJvdPo;

graphical representation  wIyPzsgbOC;wIwhwI investigate  CdxHuGIxHvD:wHIvD:qJ;wI*hIwzObOC;wItdOo;wrH: mathematical phenomena  wI*hIvD:qDvUtbOC;'D;wIxdOwI'G; multiple representations  uJxDOtcUOp;vUwIttgt*DI organize  7JOvD:usJ:vD:vUwIwrH:rH:uuJxDOrhwrhIubOwI[hOtD: physical object  wItuhIt*D: physical phenomena  wI*hIvD:qDvUtbOC;'D;eDIcdeDIcD recognize  uGIeDOtD:bO< r:eDOtD:bOzJexHO< eeI[ltD:tcg record  wIuGJ;eDOuGJ;CgvUtbOwIyPCPyU:CPtFD:vUwIuuGIuh:'D;pl;ugtD:

vUcgvUcH uoht*DI social phenomena  wI7hvdPo;twIvD:qD symbol  wIyeDO table  pDIeD:cdO< vHPwd:zsg technology  pJ;zDu[OyDng translate  wJzsgwIuwd:rhwrhIwIuGJ;tcDynDqlusdPt*:wrH:

Number Sense and Operations  wIohOngeIyUIeDO*HI'D;wIzH;wIr:

a+bi form  a+bi tusd:tusJ absolute value  wItvkItySh:vD:wHIvD:qJ;

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               4  

ENGLISH  KAREN 

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

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               5  

ENGLISH  KAREN 

angle of elevation  r:*h:'dOxDOwItoeUO antilogarithm  eDI*HIvUtbOC;'D;vDO*7UOoO approximate value  bl;uvDIwHIvUwItvkItySh: arc length  wIu0D:wcD'htxD arc cosine  wIu0D:wcD'hvUtbOC;'D;wIvUttdO'D;teUOoUeUO arc sine  wIu0D:wcD'hvUtbOC;'D;wIvUttdO'D;teUOvGHIeUO arc tangent  wIu0D:wcD'hvUtbOC;'D;wIvUttdOu0D:o; area of a parallelogram using SAS  teUOvGHIeUOtbUOu0D: cDzsd SAS area of a triangle using SAS  teUOoUeUOtbUOu0D: cDzsd SAS arithmetic sequence  wI*HIwI'G;ydPxGJxDOto;wrH:0H:wrH: arithmetic series  wI*HIwI'G;ydPvdPtcHwrH:bOwrH: asymptote  wIbsUwcgvUtwuh:bOxH;vdPo; base  wItcDOxH; base of a logarithmic function  bOxGJvdPo;vUvDO*7UOoOwIzH;wIr:tcDOxH; base of an exponential function  bOxGJvdPo;vUwIxdOwI'G;eDO*HIcHq;tcDOxH; binomial expansion  wIr:tgxDOwI'G;eDO*HIohOwzO binomial theorem  wIr:tgxDOwI*HIwI'G;tusJoel center‐radius equation of a circle  wItdOu0D:ySJ:'fod;od;'D;uGD:z;ulPtcUOo; central angle  toeUOvUtdOvUto;uHIyl: circle  wItbHOtyU:vUttdOu0D:usD: circular functions  vUttdO'D;wItuhIt*D:tu0D:usD: coefficient  wIvUtr:tgxDOeDO*HI cofunctions  r:tgxDOwI[l;wI*J: common base (s)  wItcDOxH;vUtbOC;'D;yS:cJvUP common difference  wIvD:qDvdPo;< w'foD;vdPo; common factor  eDI*HIeD:z;wIvUtbOxGJvdPo; common logarithm  vkIvIvUtbOxGJ'D;wIxdOwI'G; common ratio  wItp;oMwD:vUwIcHcgtbUOpU: completing the square  wIr:vUySJ:eUObOvGHIuEl:Cl complex fractional expressions  yPzsgxDOeDI*HIulPvUteIyUItD:uD compositions of functions  wIuGJ;xUzSdOyPzSdOtwIzH;wIr:tusd:tusJ compound interest  bOwI'k;uJxDOtD:vUwIwrH:rH: constant function  vUtuJxDOto;wy,lPCD< vUttdOpHPtdOusU:<

vUwItdOo;wqDwvJ cosecant  bOxGJ'D;teUOvGHIeUO cosine  bOxGJ'D;teUOvGHIeUO cotangent  teUOvUw'd;oeh:to;'D;tuy:bO degree of a polynomial  'HIu7HOvUtbOxGJ'D;wIxdOwI'G; difference of two perfect squares  eUObOvGHIuEl:ClcHcgvUtvD:qDvdPo;vD:wHI direct variation  wIqDwvJvd:vd:bsUbsU discriminant  yJPz;eD:z;< uGIwvD:< uGIrJPwI domain  wIohOngeIyUIwIrhwrhIwI[l;*J:zH;r:tbUOu0D: double and half angle formulas for trigonometric function 

cHq;'D; oeUOwcD tusd:tusJvU MxHOudPeDOrJ;x7h; wIvJ:o;t*DI

double root  wIcHuxUtcDOxH; e  tJuvH;tvHPrJPzsUO,JIzsUOwzsUO

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               6  

ENGLISH  KAREN 

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;

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               7  

ENGLISH  KAREN 

parabola  yedOuhOuGD: parameter  wIyeDOtwuGDO<

wIohOqUyPwIwrH:rH:vUtbOwIqUwJPtD:rhwrhIr:eDO wItqUvUwIr:tD:ehIrhwrhIoh

period (of a function)  wItqUuwDIwuwDI periodic function  vUtuJxDObOqUbOuwDIwbsDbOwbsD phase shift  wItuhIt*D:tzsg0JvUtok;tvDI polynomial expression  yPzsgxDOwIvUttgehIeDO*HIcHusd: polynomial function  eDO*HIcHusd:twItdOo; Powers of i  wIpdwIurD:< wItw[DO< wI*HIwIbg< i twI*HItgxDO tuxU Pythagorean identities  yPzsgwIteUOwzOrhIwI'fod;od; quadrant angle  wIteUOvGHIzkwzk quadratic equation  eDO*HIcHuxUtwI'fod;vdPo; quadratic formula  eDO*HIcHuxUtvkItvI quadratic inequality  eDO*HIcHuxUwIwwk:od;vdPto;bO quadratic trinomial  eDO*HIcHuxUbOC;'D;teUOoUeUO radius  uGD:z;ulP< range (of a function)  7JOvD:w*hI*hI<'k;bOC;to;'D;yS:wzk rational coefficient  tdOolOvD:o;vUwIr:tgxDOeDO*HItzdcdO rational equation  tdOolOvD:o;vUwIrhIwI'fod;od;tzDcdO rational expression  yPzsgwItdOolOvD:o;tzDcdO rational inequality  wItdOolOvD:o;wwk:tdOvD:o;bO rationalize denominators  'k;uJxDOeDO*HIulPvUtzDvP reciprocal trigonometric functions  wIteUOvUtr:bsK;vdPo;,PcD,PcD recursive definition  wIbOxGJbOC;vdPo;tcDynD reference angle  yPzsgxDOwIteUO'd;oeh:vdPto; relation  wI7hvdPo;< tbl;twHI replacement   yPu'guh:tvDI< [hOuh:tpg represent  wItcUOp; restricted domain  wIyUwIjy;twIzDOCH;tD: resultant  uJxDOto; right triangle trigonometry  wIxdOwI'G;wIteUOoUeUOwzO root of an equation  wIcHuxUtwI'fod; secant (of an angle)  wIteUOtwIcsH;Ch sigma notation  cDr;vHPzsUOwqHCd;zsUOtwIyeDOoed sine  MxHOudOedrMxHOtusd:tusJvUtxJod;'D;wIteUOvUwI[hOyPtD:wuy:

twIcsH;Ch solution set  yPvD:usJ:vD:wItpJ standard position (of an angle)  wItvDIvUtrhIwI'fnDekItod; subset  vUt0JtdOtdO0Jtod;yS:t*:phIuD;tdO0J sum and product or roots of a quadratic equation  yPzSdO'D;xk;xDOrhwrhIeDO*HIcHuxUvGHIzkwzktwI'fod;od; sum of an arithmetic series  wIyPzSdOwI*HIwI'G;twIydPxGJ sum of a geometric series  wIyPzSdOvUtbOC;'D;wIxdOwIwJPwItwIydPxGJ systems of equations/inequalities  wI7JOwIusJtwI'fod;od; tangent (of an angle)  (wI*HIwI'G;) yedvUtbOxH;vdPto;'D;wIteUObOqOw*PwJP0JbO technology  pJ;zDu[OyDng terminal side of an angle  wIteUOvUtbOC;'D;wItuwUI

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               8  

ENGLISH  KAREN 

transformation  wIvUvdPwItuhIt*D: transformations of functions and relations  wIvJvdPwItuhIt*D:twIrhIwI'D;twIbIxGJ trigonometric equation  wIteUOvUtwIrhIwI'fod;od; trigonometric functions  wIteUOtwIrhIwI unit circle  wItdOu0D:,l;eh; variable  wIr:to;tuvkPuvkP< wIr:to;vUwIw,PtD:wbO vector  wIwcgvUtdO'D;teDO*HItg vertical line test  wIr:uGIwItusd:vUttdO'D;tywDIvUtxDuwUI<tcUOo;'D;tcH'; zero of a function  wIr:vUwrhIwIeDwrH: zero product property  wIpkvDIcDOcdOwtdOeDwrH:vUnDekIwIuqgtD:t*DI

Geometry wI*HIwI'G;t'hvUtbOC;'D;wIxdOwI'G;'D;wIbOxGJvdPo;

'D;wIwd:wIbsU absolute value  wItvkItySh:tvUtySJ:vUPvUPqhqh absolute value equation  yPzsgwItvkItySh:tvUtySJ:rhIwI'fod;od; absolute value inequality  wItvkItySh:tvUtySJ:wxJod;wk:od;vdPo; angle in standard position  wIteUOvUttdOvUwIyeDOtvDIwcg angle of depression  wIteUOvUwIuGIvD:vd:vd:qlwIzDvP angle of elevation  wIteUOvUtupD:xDOxD area of a parallelogram using SAS  teUOvGHIeUOtbUOu0D: SAS area of a triangle using SAS  teUOoUeUOtbUOu0D: SAS circle  wIu0D:usD: coefficient  wIr:tgxDOeDO*HI function  eDI*HIeDI'G;wIzH;wIr:< wIolOq;o;q; generalize  'k;bOC;uh:wIvUwItgrH: geometric representation of a circular function  wIu0D:usD: tusd:tusJ twIxdOwIwJP twIyPzsgxDO graph of a relation  vHPwd:NyHtwIbOxGJ graphical representation  wI[hOwIt'dvUtbOC;'D;wIwhwI*D: graphical solution of equations  wIuGJ;zsgxDOwItpUtbOC;'D;wIwhwI*D: investigate  vkIuGICkohOngwIt*hI ordered pair  wIr:vdPvUtuuJxDOwIwcg parabola  yedOuhOuGD: rational coefficient  tdOolOvD:o;vUwIr:tgxDOeDO*HItzdcdO rectangular coordinates  'k;bOvdPzd;'hwItuhIt*D:tdO'D;tuy:bsUvGHIuy: relation  wI7hvdPo;< wIbOxGJvdPo; root of an equation  wIcHuxUtwI'fod; sector of a circle  uGD:tulPtuh<wItoeUO< wItvDIu0D: slope  vD:bH triangle  vUttdO'D;teUOoUeUO vertex  wItcdOxd;< wItpd;eg<wItpdcdO visualization  wIxHOwIvUo;trJP

Measurement  xdOeDOwJPeDO

arc length  wIu0D:wcD'htxD degree measure  xdOeDOwJPeDOwItywDI measure of central angle  xdOeDOwJPeDOwIteUOto;uHIyl: minute  qH;udPzd< rH;eH;

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               9  

ENGLISH  KAREN 

radian measure  wIxdOeDOwJPeDOwItoeUO

Statistics and Probability  eDO*HIp7D'D;wIvItzsgvUur:to;

at least  vUtpS: at most  tguwUI Bernoulli experiments  wIr:uGIwzOvUttdO'D;tpUcHcg biased sample  wIt'dvUturO bimodal  wI7:vD: vUttdO'd; tusd:tusJ w'H;od;vdPo; binomial probability formula  yPzsgwIyPzSdOxk;uGHPeDO*HItpUvUtuuJxDOtusd:tusJ bivariate data  wIbOC;'D; wIqDwvJ twIxUzSdO central tendency  wIvUtrdOuJxDOwIto;uHIyl: combination  wItdOusJOusDvdPto; compound event  yPzSdOr:to; conjecture  w,PwI<vD:*PbOyS: controlled experiment  yUqSU7JOusJwIr:uGI correlation coefficient  wIbOxGJvdPo;vUwIr:tgxDOeDO*HI counting principle  wI*HIwI'G;twIodOwIoDtrdIySI exactly  vD:wHIvD:qJ; experimental probability  wIr:uGItwIuJxDO extrapolate  qdurdOw,PuGI frequency (of a data set)  wIr:to;uJxDOcJtH:cJtH: frequency distribution  wI[hOeD:wIcJtH:cJtH: grouped frequency distribution  u7lIvU[hOeD:wIcJtH:tH: index in statistics  vHP7HOxH;eDO*HIp7D interpolate  uGJ;'UekPwItoDvD:qDvUyS:*:twIuGJ;tyl: interquartile range  wIeD:z;vGHIcgt7JOvD:w*hIw*hI least squares regression line  eDO*HIcHuxUt*k:qltvDIcHqlwItpS:uwUI line of best fit  tusd:t*h:uwUIvUtbOvdPto; linear regression  wI*k:uh:qltvDIcHvUt[J'feDO*HI7JOtod; mean  tcDynD< wIxdOCleDI*HI measure of central tendency  wIxdOeDOwJPeDOwIvUtrdOuJxDOto;to;uHIyl: measure of dispersion  xdOeDOwJPeDOwIvUtvD:jyHjyg median  eDI*HItdOvUwIcUOo; mode  eDI*HItvkItvItusJtuyl: normal curve  yPzsgwIvUnDekIuhOusD: (t'dvD:*P'UvGJ) normal distribution  yOzsgwIvUtbIC;nDekIuhOusD:< (t'dvD:*P'UvGJ) observation  wIuGIeFDOuGICgwI<wIxHO< wIpH;wIuwd: outlier  yS:w*:vUtw'd;oeh:to;'D;yS:*: Pascal’s triangle  eDI*HItwI7JOvd:o;'fteUOoUeUOtod; percentile  bOC;'D;u7lIwu7lIbOwu7lI permutation  bDxDOu7lI'D;ok;usU:ehItvDItusJ probability  rhIr:to;nDu'O< vUtvD:*Pur:to; quartiles  wIeD:z;vGHIylySJ:od;od; random sample  wIt'dvUtuJxDOo;zJtbO;o;0J range (of a data set)  7JOvD:w*hI*hI regression equation  wIr:ySJ:od;wI[Juh:qltvDIcH<wItcDOxH;

ALGEBRA 2 & TRIGONOMETRY ‐ HIGH SCHOOL LEVEL 

NYS Statewide Language RBERN                                                                                                                                               10  

ENGLISH  KAREN 

regression model  wIt'dvUt[Juh:u'guh:qlwItcDOxH; sample space  wIvDIt'd scatter plot  r:NyHjyg [DOcdOwu0D: standard deviation (population)  yPzsgyS;wzk;'D;wzktwItdOo;w'fod; standard deviation (sample)  wIyeDOvUwvd:usJvd:tyl: statistics  wIuGJ;eDOuGJ;Cg (tdOf'D;eDO*HIwzOvUt'k;eJOwItdOqH;tgqH;tgp7D) survey  [;qSOuGIwIvDIwIusJ< uGIxHqdurdOt*hI technology  pJ;zDu[OyDng theoretical probability  (vUtrhIxJ) wIqdurdO'D;ePvUwIMuU;r:wI'fvJO'fvJOtwIbsU univariate data  wIxdO'G;twIvD:yvdP variance (population)  wIvD:qDvdPo; variance (sample)  wIw'fod;vdPo;twIvD:qD