Integrated Algebra. Glossary. High School Level. English / Karen

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1 High School Level Glossary Integrated Algebra Glossary English / Karen Translation of Integrated Algebra terms based on the Coursework for Integrated Algebra 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: November 2016

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 Problem Solving algebraically concept conjecture constraint equivalent formulate generalization graphically multiple representations numerically parameter pattern relative efficiency strategy verbally Reasoning and Proof appropriate approximation argument claim conclusion conjecture counterexample explain inductive reasoning logical argument mathematical conjecture proof refute systematic approach validity Venn diagram verify Communication accuracy analyze argument coherent communicate comprehension conclusion conjecture decoding elicit equation wir:bowi*hiud< bsgqsjwi*hiud 'fwi'g;vhpzsuo [J0Jtod; wi*hirdiysi< wixhowiqdurdo wiw,pwi wir:whpwpwi ysj:od;xjod; wi'k;tdoxdo usj'g;oh wiypyedo xd7d:wi 'fvhpwd:jyh[j 0J tod; wiujcuop; tgcg 'fedo*hi[j0j tod; tugd:wugdo tuhotugj; vuysj:zj tbo wiulousj:tusj vux; cdo wiqdurdo<*hivdpbsdvdp 'D; witkoo; tmuu;tbo wi'g;w,p wi*hivdp Chuh:wI wiusu:whiuh:wi wi'g;w,p wit'dxd'g wjzsgxdowi wiqdurdobk;xk;xdo wi*hivdpvubo*hibo0d wi*hiwi'g;twi'g;w,p witkoo; *hivdp wtuovd:xgj usjbo *hibo0dvuuypzsgxdowi witrl (wivu oloh)< wiyp*uiypusu:oh('f ojp;tdotod;) (bjef) wi t'd r:vd:whi wivd:whivd:qj; yjpxhed:z; wi*hivdpbsdvdp pjbl;vdpo; qj;usd; wieiyui wiusuiwhi wiw,pwi vjvdpql wiuwd:rkiqhorki*d: 'k;tdoxdowiqdurdo wixjod; ysj:od; wiqj;usd; NYS Statewide Language RBERN 1

4 evaluate extend formula function graph interpretation mathematical visual rationale standard (mathematical) notation strategy table technical writer terminology valid valid Connections coherent whole concept connection formulate physical model procedure quantitative model representation Representation angle of elevation array chart compare diagram equation function graph interpret mathematical phenomena organize physical phenomena profit record social phenomena symbol table technology translate Number Sense and Operations absolute value algebraic problem wiquwjptvki tysh: r:vjixdor:xdxdo usj'g;oh wir: vhpwd:jyh wiuwd:usd;wi edo*hi edo'g;vuwixhotd: wit*hiusd:rdiysi wd:yedo (edo*hi)tyedo wulousj:usj wd: Ch ys:ugj;wioh ydng0di MoJ vutrl< wiyp*uiypusu:oh vu trl (oloh)< wiyp*uiypusu:oh pjbl;vdpto;'dwcg wi*hirdiysi wiboxgj wir:ehiusj'g;oh edicduhi *D:t'd usjuyl:< tusd:tugp edo*hi edo'd wiujcuop; euoupd:xdo t7jotusj: vhpwdoz;vji< vhpwd:zsg xdoomwd: wi*d:'d wixjod; ysj:od; wir: vhpwd:jyh uwd:uds; wi*hiwi'g;wir:o; u7uu7dxdo edicdwir:to; witbsl; wir:edor:cg ys:*hi0d wir:o; wityedot'd wd:ch pj;zdu[o ugj;usd; wiboxgj wiujcuop; edo*hi tcdynd 'D; twir: tvkitysh:tcdoxh;< tvkityv:vd:whi tjvfuahob7otwi*hiud NYS Statewide Language RBERN 2

5 arithmetic operation edo*hi twir: arrangements (permutations) wit7jotusj:oho wzo associative property uhipdypzsdoxdovdpo;oh closure property tuwui uhipd commutative property wiboxgjboc;t7litoj; counting techniques wi'g; witusj decimal wibsjoqh (zd;) denominator wiedoz;wi discount wir:ps:vd:vkiysh: distributive property wied:z;tuhitpd exponential expression wiwjzsgedo*hiumxu expression wiwjzsgxdowi factorial boxgjedo*hiulp field ys D(pHPysD) fraction edo*hiulp Fundamental Principal of Counting wi*hi'g;wi twibsucdooho group u7li identify property ypzsgwituhitpd inverse property wibd;u'guh: wituhitpd like / unlike radical terms boo;^wboo; 'D; witcdoxh; number theory edo*hitwibsu numerator edopj: percent of increase / decrease tgxdo^ps:vd:rs;u,: product tpu properties of the real numbers edo*hiediudi t7litoj; proportionality / direct variation wivd:qdvutvd:vd:^ vutcsh; quotient wied:z;tpu radical witcdoxh; radicand boc;witcdoxh; real numbers edo*hiediudi scientific notation boc;'d;pjthowiyedo simplest form uhi0d:t7sjuwui variable wivd:qd Algebra acute angle adjacent side / angle algebraic equation algebraic expression algebraic fraction analyze axis of symmetry binomial coefficient common base complement of a subset coordinates oeuoqh; uy:^euo vutbl;vdpo; vhpzsuowi'g;twiysj:od; vhpzsuowi'g;twiypzsg vhpzsuowi'g;tedo*hiuh yjpxhed:z; wiysj:od;vdpo;tusho<t0o7d edo*hichcg edo*hitoh tcdoxh;'fod; wir:ysj:xdowitqdzdwcg qj;usd;r:oud;^vuvdiv:wk:od; vhpzsuowi'g; NYS Statewide Language RBERN 3

6 cosine cdopj dependent ys:vu'd;oeh:o; difference of two perfect squares euobowivghieuo chcgtwivd:qd element edoxh; equation wixjod;yjs:od; exponent wivutwjzsgxdowitbsd exponential growth and decay wi'doxdotbsd'd;qh;vd:ps:vd:tbsd expression wiypzsgxdo factoring wir:jyhwi fractional expression wiypzsgedo*hituh greatest common factor (GCF) edo*hied:z;cjvupboxgjt'douwui (GCF) hypotenuse euoboquorjpyed independent variable edo*hivd:qdvu tdo'owioh inequality wiwxjod;wk:od;bo integer edo*hi'dzsuo integral coefficient boxgjedo*hi'dzsuovutoh integral exponent edo*hi'dzsuovutwjzsgxdowitbsd integral root (s) edo*hi'dzsuot*hixh; intersection of sets witqdvutcdwlpvdpo; interval notation edo*hiyedivuwibuopu: lead coefficient edo*hiohtcdordiysi legs of a right triangle euobowioueuoteuicdoxh;wzo line parallel to the x- or y-axis yedbsuvuocj:'d; x rhwrhi x 0O7d linear equation in one variable edo*hiwzsuotwixjod;wk:od;'docd: linear inequality in one variable edo*hiwzsuotwiwxjod;wk:od;'docd: literal equation wi xjod;wk: od; vd:vd: lowest term fraction edo*hi uhtqh; uwui monomial edo*hiwcg multiplication property of zero wi*hitgedo*hi0;tvki t ysh: opposite side / angle uy:^euo quorjmf parabola witugd: parallel omwj:< ocj: polynomial edo*hivuttg product witpu properties of exponents edi*hiumxut7litoj; proportion wicsh;uho< wiclzd;vdpto; Pythagorean Theorem Pythagorus twirhiwiwd< twibsu quadratic equation edo*hiumxutwixjod;wk:od; quantitative edo*hittgtps: quotient wied:z;tpu ratio tcsh; relation wiboxgj right angle euobo right triangle euobowioueuo root (s) of an equation wixjod;yjs:od;edo*hixh; roster form witcdoxd;tuhit0d: set wituli < witqd set-builder notation edo*hivut'k;ujxdowitqdtuli sine pg(ef) NYS Statewide Language RBERN 4

7 slope solution set subset sum system of linear inequalities system of linear equations tangent translate (from verbal to symbolic) trigonometry trinomial undefined union of sets universal set variable verbal expression verbal sentence vertex x-axis y-axis Geometry absolute value function angle area axis of symmetry of a parabola circle coefficient cylinder decagon exponential function function generalize geometric shape graph of a relation hexagon investigate nonagon octagon ordered pair parabolic function parallelogram pentagon perimeter polygon quadrilateral quarter-circle rational coefficient rectangle rectangular solid wivd:bh witputqd< tuli witulizd< tqdqh;zd ypzsdotpu wiw'h;od;'docd:toel wi'h;od;'docd:toel yedxd;bowi usd;xhwiuwd:qlwiuhi0d:'d MxHOudPeDOrh;MxHO< wixdowi'g;teuiwzo edo*hiouuxu wiwwjzsgtcdyndbo witqdtu7li [DOcdO'DbhO< boc;'d;wiud;rh:'j;tqd edo*hivd:qd wiwjcj:zsg wiwjusd:ysj: tcdopd;uwui 0O7d x 0O7d y uahotdrmxho< wixdowi'g; wi'g;tvkitysh:uwuitusd:tusj oeuo th7h;,i< wit'dotvji ediugd:wcgtwiysj:od; tz;zd<t0o7d wiu0d: edo*hitoh wizsuo'dusd uhi0d:uy:wqh witbsdtp; twir: wir: wiypxd7d: uahotdrmxho uhi0d: wiboxgj'd;vhpwd:jyh uhi0d:ckuy: ohugiorhord; uhi0d:cghuy: uhi0d:cd;uy: tulitqdvubo*hibo0d yedugd:twir: yedocj:tuhit0d: uh:0d:uy:,jiuy: tuel: witeuotguy:tguhi0d: yedvghibduy:t0d: ugd:vghiylwyl edo*hiohvutvkiyv:tdo euobowivghieuo< euobochuel:cl wi euobowivghieuo< euobochuel:cl tudivdp NYS Statewide Language RBERN 5

8 regular polygon relation rhombus roots of a parabolic function sector of a circle semi-circle spatial reasoning square surface area trapezoid triangle vertex visualization volume Measurement appropriate unit conversion cubic unit error linear measure linear unit magnitude measurement system rate relative error square unit unit Statistics and Probability appropriateness biased bivariate box-and-whisker plot calculated probability categorize causation central tendency complement conditional probability correlation cumulative frequency distribution table cumulative frequency histogram data dependent events dependent variable uhi0d:tguy:clvutndeli wiboxgj< bl;whi 7DbU;pf yedugd:wir:tedo(*hi)xh; ugd:uh ugd:cd wiqdurdowituhit*d:vuwitdoo;tgrh: euobovghiuel:ck< wichuxu rjpzh;cdot'dotvji uh:0d:vghiuy:teuiwclbo wioueuo tcdopdp wi'k;xhovurjp witmwdi<witoh;tup wixdo Unit,leH;tMuU;tbO vjvdp ulbh;,leh; Unit wiuro wixdtxdo wixd,leh; Unit edo*hiedo'g;t'dotqh;< wit'dotxd wixdowitoel t,lp urozjtohwibowi euibovghiuel:ck,leh;<,leh; chuxu,leh; edixdoedi'g;'d;wivu ujto;oh witmuu;tbo wio;'h'd< wcdwu: wivd:qdchuy:chcgchuvkp wvg'd;wivdiypuy:ughp< wiypzsgxdo edo*hicuoo; tvkityv:< edo*hivghiylwyl< 'D; edo*hit,h:uwuivu edo*hiyedvd: wir:o;ohvuwi'g;cptd: tu7li wir:o;*hi0d wir:to;tcdoxh wir:ysj:xdowi wir:to;ohvuwitdoo;tzdcdo CkP'D;wIbOxGJbOC; wiypzsdocjvupwied:vd:tbsdwd:ch wiypzsdocjvuptbsdyl:ughpwir:edi wir:edowi*hiwiusd: wir:to;vu[jujxdoto;vu wi*hiwcgtzdcdo edo*hivd:qdvu'd;oeh:o;vuedo*hit*: NYS Statewide Language RBERN 6

9 element empirical probability experimental design extrapolation favorable event finite simple space five statistical summary frequency distribution table histogram independent events independent variable interpolation line of best fit linear transformation maximum mean measure of central tendency median minimum mode mutually exclusive events not mutually exclusive events percentile rank probability qualitative quantitative quartiles (specifically : first, second, third or, lower, middle, upper range scatter plot series univariate wi*hi*hixh; wiujxdoo;ohcdzsdwibobl;bowhi wituhit0d:vuwir:ugi wipl;zsdoo;tbsjo wir:to;vuvd:booloboo; wivdi,d,dtdo'd;uwui wir:edor:cg5cgusuiwhp wied:vd:o;tbsdwd:ch wivuyl:ughpuhi*d:'d wir:to;vd:qdqd edo*hivd:qdvutdoobshoh wiypzsdotgxdoo;wzkwzkvut'gjyl: yedmuu;bouwui w>vjvdpo;'docd: ttguwui tz;zd< wixdocledi*hi wirdoujxdoo;z;zdtedocdo tcuoo;^ tz;zd tps:uwui tuvkp< tusd:tusj wir:to;vubobsk;chcdchuy: wir:to;vuwbobsk;chcdchuy: rs;u,:vdiv:ywdi wiujxdo(r:o;) oh tuhitpd edo*hiedo'g; vghicgwbsd (vd:qd'owi - wuwbsd< chbsdwbsd< oubsdwbsd rhwrhi tzdvp< tcuoo;< tzdcdo) t,lpuwui wivdivu tdojyhjyg edo*hiydpxgjvdpch 'k;vd:qdwbsd NYS Statewide Language RBERN 7

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