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High School Level Integrated Algebra Glossary English / Burmese Glossar y 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 Updated: December 2017 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

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Page 1: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Level

Integrated AlgebraGlossary

English / Burmese

Glossary

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

Updated: December 2017

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

Page 2: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

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 World Languages 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. ........................................................... 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 12234.

Page 3: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

1 NYS Statewide Language RBERN

ENGLISH BURMESE Problem Solving ျပနာ ေျဖ႐ငးျခငး

algebraically အကၡရာသခ ၤာအရ

concept အယအဆ

conjecture ထငေၾကးေပးသည

constraint အကန႔အသတ

equivalent ညမ ေသာ

formulate ပေသနညးထတသည

generalization ေယ ဘယ ျပသည

graphically ပဂရပအားျဖင

multiple representations က ယားျပမႈမ ား ာ

numerically က နးဂဏနးအားျဖင

parameter သတမတခ က

pattern ပ

relative efficiency ႏ ႈငးရဖလမႈ

strategy နညးဗ ဟာ

verbally ႏႈတျဖင

Reasoning and Proof က းေၾကာငးျပၿပး သကေသျပျခငး

Appropriate သငေလ ာေသာ

approximation ခန႔မနးျခငး

argument အျငငး

claim အဆ တငသ ငးသည

conclusion န ဂး

conjecture ထငေၾကးေပးသည

counterexample တနျပနဥပမာ

explain ႐ငးျပသည

inductive reasoning ၿခငဆငျခင အေၾကာငးျပျခငး

logical argument က းေၾကာငးဆေလ ာေသာ ျငငးဆ ခ က

mathematical conjecture သခ ၤာဆ ငရာ မနးဆျခငး

Page 4: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

2 NYS Statewide Language RBERN

proof သကေသ

refute ေခ ပသည

systematic approach နညးနက ေသာ ခ ဥးကပမႈ

validity တရားဝငျဖျခငး

Venn diagram ဗငး႐ပပျပ

verify အတညျပသည

Communication ဆကသ ယမႈ

accuracy တ က မႈ

analyze ခ ြျခမး တျဖာသည

argument အျငငး

coherent ဆကပမႈ႐ ေသာ

communicate ဆကသ ယသည

comprehension သေဘာေပါကနားလညႏ င မး

conclusion န ဂး

conjecture ထငေၾကးေပးသည

decoding အဓ ပၸာယျပနျခငး

elicit ႏ ႈကယသည

equation ညမ ျခငး

evaluate အကြျဖတသည

extend ဆန႔ထတသည

formula ပေသနညး

function လပငနး

graph ပျပဂရပ

interpretation ဘာသာျပနဆ ျခငး

mathematical visual သခ ၤာဆ ငရာ ပမ ား

rationale သေဘာတရား

standard (mathematical) notation ႏႈနးက က (သခ ၤာ) သေကၤတ

strategy နညးဗ ဟာ

table ဇယား

Page 5: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

3 NYS Statewide Language RBERN

technical writing ညးနအရ ေရးသားမႈ

terminology အသးအႏႈနး

valid အက းဝငသည

Connections ခ တဆကမႈမ ား

coherent whole အလး ေ႐႕ေနာကဆေလ ာေသာ

concept အယအဆ

connection ဆကသ ယခ က

formulate ပေသနညးထတသည

physical model ႐ပပ ငးဆ ငရာ ပ

procedure လပထးလပနညး

quantitative model အေရအတ ကအရ ပ

representation က ယားျပျခငး

Representation က ယ ားျပမႈ

angle of elevation အျမငေထာင

array ဥခငးက ငးသည

chart သ႐ပျပပ

compare ႏ ႈငးယဥသည

diagram ပၾကမး

equation ညမ ျခငး

function လပငနး

graph ပျပဂရပ

interpret ဘာသာျပနသည

mathematical phenomena သခ ၤာဆ ငရာ ျဖဥ

organize ဖ ြ႕ညးသည

physical phenomena ႐ပပ ငးဆ ငရာ ျဖဥ

profit အျမတ

record ကးယသည

social phenomena လမႈေရးဆ ငရာ ျဖဥ

Page 6: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

4 NYS Statewide Language RBERN

symbol သေကၤတ

table ဇယား

technology နညးပညာ

translate ဘာသာျပနသည

Number Sense and Operations ဂဏနးအာ႐ႏင ေဆာင႐ ကမႈမ ား

absolute value အၾက ငးမြ တနဖ း

algebraic problem အယဂ ဘရာျပနာ

arithmetic operation ဂဏနးသခ ၤာေျဖ႐ငးျခငး

arrangements (permutations) ဥထားမႈမ ား (အအဥ)

associative property ဆကပဂဏသတ

closure property အပ တဂဏသတ

commutative property ေျပာငးလြႏ ငေသာ ဂဏသတ

counting techniques ေရတ ကနညးမ ား

decimal ဒသမက နး

denominator ပ ငးေျခ

discount ေလ ာေ း

distributive property ျဖန႔ေဝရဂဏသတ

exponential expression ထပက နးျဖငေဖာျပျခငး

expression ေဖာျပခ က

factorial ေျမာကေဖာက နး

field က ငး

fraction အပ ငးဂဏနး

Fundamental Counting Principle အေျခခေရတ ကနညး န ယာမ

group အပ

identity property က ယပ ငအခ ကအလက ဂဏသတ

inverse property ေျပာငးျပနဂဏသတ

like/unlike radical terms အေျခတ/ အေျခမတ ႏထပက နးတနးမ ား

Page 7: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

5 NYS Statewide Language RBERN

number theory နပါတသအ ရ

numerator ပ ငးေဝ

percent of increase/decrease အတ း/အေလ ာ၏ ရာခ ငႏႈနး

product ထတကန

properties of the Real numbers က နးမ ား၏ ဂဏသတ မ ား

proportionality/direct variation အခ းက မႈ/တ က႐ က ေျပာငးလြျခငး

quotient ားလဒ

radical ႏထပက နးရငး

radicand ႏထပက နးရငးသေကၤတ ေအာကမ က နးမ ား

real numbers က နးမ ား

scientific notation သ ပၸနညးက သေကၤတန

simplest form အ႐ း႐ငးဆးပ

variable ေျပာငးလြႏ ငေသာ

Algebra အကၡရာသခ ၤာ

acute angle ေထာငက ဥး

adjacent side/angle အနးကပ အနား/ေထာင

algebraic equation အယဂ ဘရာညမ ျခငး

algebraic expression အကၡရာသခ ၤာ ေဖာျပမႈ

algebraic fraction အယဂ ဘရာအပ ငးဂဏနး

analyze ခ ြျခမး တျဖာသည

axis of symmetry အခ းညဝင႐ း

binomial က နးႏလးပါေသာ

coefficient ေျမႇာကေဖာက နး

common base တညေသာအေျခ

complement of a subset အခ ြ၏ လ ကဖကညမႈ

coordinates က ၾသဒန တ

cosine က ငး

Page 8: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

6 NYS Statewide Language RBERN

dependent မခ

difference of two perfect squares တရနးႏခ၏ ျခားနားခ က

element ျဒပ

equation ညမ ျခငး

exponent ထပက နး

exponential growth and decay ဆပ ား ႀကးထ ားျခငးႏင ေသဆးျခငး

expression ေဖာျပခ က

factoring ဆခ ြက နးျပျခငး

fractional expression အပ ငးက နးျဖင ေဖာျပျခငး

greatest common factor (GCF) အေကာငးဆးဘဆခ ြက နး (GCF)

hypotenuse ေထာငမနခအနား

independent variable လ တလပေသာက နး႐င

inequality မညမ မႈ

integer အျပညက နး

integral coefficient အျပညက နးဆ ငရာ က နးေသ

integral exponent အျပညက နး၏ ထပက နး

integral root(s) အျပညက နး က နးရငး(မ ား)

intersection of sets အမ ားတခႏငတခ ျဖတျခငး

interval notation ၾကားသေကၤတ

lead coefficient အႀကးဆးထပက နး၏ ေျမာကေဖာက နး

legs of a right triangle ေထာငမနႀတ ဂ၏ အေျခမ ား

line parallel to the x- or y-axis အ တ သ ႔မဟတ ဝ င ဝန႐ းႏင အၿပ ငျဖေနေသာ မ ဥး

linear equation in one variable က နး႐ငတခ၏ အေျဖာငအတ ငး ညမ ျခငး

linear inequality in one variable က နး႐ငတခ၏ အေျဖာငအတ ငး မညမ ျခငး

literal equation က နး႐ငမ ား၏ တနဖ းက ေဖာျပထားေသာ ညမ ျခငး

lowest terms fraction အန မဆးအပ ငးက နးတနး

Page 9: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

7 NYS Statewide Language RBERN

monomial က နးတလးပါက နးတနး

multiplication property of zero သည၏ ေျမာကရ ဂဏသတ

opposite side/angle ဆန႔က ငဘက အနား/ေထာင

parabola ကေတာပအနားႏငအၿပ င ျပငညကျဖတရာတ င ျဖေပၚေသာ မ ဥးေက း

parallel အၿပ င

polynomial အယဂ ဘရာႏခထကပ ပါေသာ က နးတနး

product ထတကန

properties of exponents ထပက နးမ ား၏ ဂဏသတ မ ား

proportion အခ း

Pythagorean Theorem ပ ကသာဂ ရပ သအ ရမ

quadratic equation က ာဒရန႔ ညမ ျခငး

quantitative ပမာဏဆ ငရာ

quotient ားလဒ

ratio အခ း

relation ဆကႏ ယမႈ

right angle ေထာငမန

right triangle ေထာငမနႀတ ဂ

root(s) of an equation ညမ ျခငး၏ က နးရငး(မ ား)

roster form ႐ တာပ

set အ

set-builder notation အ-တညေဆာငသ သေကၤတ

sine ငး

slope မ ဥးောငး

solution set ေျဖ႐ငးမႈ သတမတသည

subset အခ ြ

sum ေပါငးျခငး

Page 10: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

8 NYS Statewide Language RBERN

system of linear inequalities အေျဖာငအတ ငး မညမ မႈမ ား၏ န

systems of linear equations အေျဖာငအတ ငး ညမ ျခငးမ ား၏ န

tangent တနးဂ င

translate (from verbal to symbolic) ဘာသာျပနသည (ာအသးအႏႈနးမ သေကၤတသ ႔)

trigonometry ႀတဂ ႏ ေမထရ

trinomial အယဂ ဘရာသးခပါေသာ က နးတနး

undefined သတမတမထားေသာ

union of sets အမ ား၏ အေပါငးအညး

universal set ဘအ

variable ေျပာငးလြႏ ငေသာ

verbal expression ာအသးအႏႈနးျဖင ေဖာျပျခငး

verbal sentence ာအသးအႏႈနးျဖင ေရးထားေသာ ာေၾကာငး

vertex ႀတ ဂထ ပ နး

x-axis အ တ ဝင႐ း

y-axis ဝ င ဝင႐ း

Geometry ဂြၾသေမႀတ

absolute value function အၾက ငးမြတနဖ း ဖန႐င

angle ေထာင

area ဧရ ယာ

axis of symmetry of a parabola ပါရာဘ လာ၏ အခ းညေသာ ဝင႐ း

circle ကဝ ငး

coefficient ေျမႇာကေဖာက နး

cylinder ထလး႐ည၊ ဆလငဒါ

decagon ဒသဂ

exponential function ထပညႊနးဖန႐င

function လပငနး

generalize ၿခင၍ ေကာကခ ကခ သည

Page 11: Integrated Algebra y Glossar - NYU Steinhardt · Integrated Algebra Glossary ... Problem Solving ျပႆနာ ေျဖ႐ွင္းျခင္း ... strategy နည္းဗ

High School Integrated Algebra

9 NYS Statewide Language RBERN

geometric shape ဂ ၾသေမႀတပ

graph of a relation ဆကႏ ယမႈ ပျပဂရပ

hexagon ဆဌဂ

investigate မးေဆးသည

nonagon အနားက းဘကပါဗဟဂ

octagon အဌဂ

ordered pair ထားေသာ အတ ြ

parabolic function ပါရာဘ လာလပေဆာငခ က

parallelogram အနားၿပ ငတဂ

pentagon ပဥၥဂ

perimeter အလပ တအရာဝတ ၏ အဝနး

polygon ဗဟဂ

quadrilateral အနားေလးဘက႐ ေသာ

quarter-circle ကဝ ငး တ

rational coefficient ရာ႐ငနယ ေျမႇာကေဖာက နး

rectangle တဂ

rectangular solid တဂပအ ငအခြ

regular polygon ပမနဗဟဂ

relation ဆကႏ ယမႈ

rhombus ႐ မးဗတ

roots of a parabolic function ပါရာဘ လာလပေဆာငခ က၏ ထပက နးရငးမ ား

sector of a circle ကဝ ငးတခ၏ အပ ငး

semi-circle ကဝ ငးျခမး

spatial reasoning အက ာအေဝး ဥးားတ ကခ ကျခငး

square တရနး

surface area မ ကႏာျပငဧရ ယာ

trapezoid ၾတာပဇယမ

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High School Integrated Algebra

10 NYS Statewide Language RBERN

triangle ႀတ ဂ

vertex ႀတ ဂထ ပ နး

visualization ႐ပပေဖာျခငး

volume ထထည

Measurement အတ ငးအတာ

appropriate unit သငေလ ာေသာယန

conversion ေျပာငးလြျခငး

cubic unit က ဘယန

error အမား

linear measure အေျဖာငအတ ငး အတ ငးအတာ

linear unit အေျဖာငအတ ငး ယန

magnitude ပမာဏ

measurement system တ ငးတာမႈန

rate ႏႈနး

relative error ႏ ႈငးရအမား

square unit ထပက နးယန

unit ယန

Statistics and Probability က နးဂဏနးႏင ျဖႏ ငေခ

appropriateness ဆေလ ာသငေတာမႈ

biased ဘကလ ကေသာ

bivariate က နး႐ငႏခပါဝငေသာ ေလလာဆနးျခငး

box-and-whisker plot ေဘာကႏင ဝကာ ပ

calculated probability တ ကခ ကထားေသာ ျဖတနေျခ

categorize အမ းအားခ ြသည

causation အေၾကာငးအရငးခ

central tendency ဗဟ ယ မးယ ငမႈ

complement ျဖည ကခ က

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High School Integrated Algebra

11 NYS Statewide Language RBERN

conditional probability အေျခအေနအရ ျဖႏ ငေျခ

correlation ဆကပမႈ

cumulative frequency distribution table ေပါငး ႀက မႏႈနးပ ႕ႏ႔မႈ ဇယား

cumulative frequency histogram ေပါငး ႀက မႏႈနး သ႐ပျပပ

data အခ ကအလက

dependent events မခ အျဖအပ ကမ ား

dependent variable မခ က နး႐ငမ ား

element ျဒပ

empirical probability လကေတ ႔ျဖႏ ငေျခ

experimental design မးသပမႈပ

extrapolation တ ကခ ကခန႔မနးသည

favorable event မ ကႏာသာေပးေသာ အျဖအပ က

finite sample space အဆး႐ ေသာ နမနာက ကလပ

five statistical summary ာရငးအငးအက ဥးခ ပငါးခ

frequency distribution table ႀက မႏႈနးပ ႕ႏ႔မႈဇယား

histogram သ႐ပျပပ

independent events လ တလပေသာ အျဖအပ ကမ ား

independent variable လ တလပေသာက နး႐င

interpolation ၾကားျဖတျဖည ကျခငး

line of best fit အသငေတာဆးမ ဥး

linear transformation အေျဖာငအတ ငး အသ ငေျပာငးလြျခငး

maximum အမ ားဆး

mean သမတက နး

measure of central tendency ဗဟ ယ နးယ ငမႈ တ ငးတာျခငး

median အလယက နး

minimum အနညးဆး

mode ထပက နး

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High School Integrated Algebra

12 NYS Statewide Language RBERN

mutually exclusive events ဘတညမႈက ဖယထားေသာ အျဖအပ ကမ ား

not mutually exclusive events ဘမပါဝငမႈက ဖယထားေသာ အျဖအပ ကမ ား

percentile rank ရာခ ငႏႈနးအနညးအမ ားအအဥ

probability ျဖႏ ငေခ

qualitative အရညအေသ းဆ ငရာ

quantitative ပမာဏဆ ငရာ

quartiles (specifically: first, second, third or lower, middle, upper)

က ာတ ငးလ (အတ အက အားျဖင- ပထမ၊ ဒတ ယ၊ တတ ယ သ ႔မဟတ အေသး၊ အလတ၊ အႀကး)

range သတမတခ က

sample space နမနာ ေနရာ

scatter plot အကမ ားပ ႕ႏ႔ေဖာျပသည ဂရပပ

series အတ ြမ ား

univariate က နး႐ငတလးပါ