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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