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Glossary
High School Level
Integrated Algebra
Glossary
English / Urdu
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
Last Updated: 08/10/09
THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234
THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234
Education - 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
MERRYL H. TISCH, Chancellor, B.A., M.A., Ed.D. .......................................................................
MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D. .........................................................
ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S. ...............................................................
SAUL B. COHEN, B.A., M.A., Ph.D................................................................................................
JAMES C. DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................
ANTHONY S. BOTTAR, B.A., J.D. ...................................................................................................
GERALDINE D. CHAPEY, B.A., M.A., Ed.D. .................................................................................
HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ...........................................................................................
JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D.........................................................
JAMES R. TALLON, JR., B.A., M.A. ...............................................................................................
ROGER TILLES, B.A., J.D. ................................................................................................................
KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................
CHARLES R. BENDIT, B.A. .............................................................................................................
BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D.....................................................
LESTER W. YOUNG, JR., B.S., M.S., Ed. D. .....................................................................................
CHRISTINE D. CEA, B.A., M.A., Ph.D. ..........................................................................................
WADE S. NORWOOD, B.A. .............................................................................................................
New York
Rochester
Tonawanda
New Rochelle
Plattsburgh
Syracuse
Belle Harbor
Hartsdale
Albany
Binghamton
Great Neck
Brooklyn
Manhattan
Bronx
Oakland Gardens
Staten Island
Rochester
Interim President of the University and Commissioner of Education
CAROLE F. HUXLEY
Senior Deputy Commissioner of Education, P–16
JOHANNA DUNCAN-POITIER
Associate Commissioner for Curriculum and Instructional Support
JEAN STEVENS
Coordinator, Office of Bilingual Education and Foreign language Studies
PEDRO J. RUIZ
Acknowledgements:
The New York State Education Department Glossaries for English Language Learners were reviewed and
updated during the 2008-2009 school year. We would like to thank in these efforts the New York State
Education Department Language BETACs (Spanish, Asian and Haitian Bilingual Education Technical
Assistance Centers), the NYS Office of Curriculum, Instruction and Instructional Technology; the New York
City Department of Education Office of English Language Learners, and the NYC Department of Education
Translation and Interpretation Unit.
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 brailed, 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.
Integrated Algebra
English
Urdu
Problem Solving
ûĻđIJ ĴĊ Ĵùûĕĸ
Ўņĸ Iûý: ŁIJ /đþĈĵ/
algebraically
concept
ЙŅđĤĻ
conjecture
¸:/ďĻ/
constraint
ďŅďċā
equivalent
D7/đĂĸ
ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ
formulate
ķņĹħā
generalization
đIJ ûļý D/đμ
graphically
ŁμďļùûĹĻ ŁĬûħĝ/
multiple representations
Ã7ďĦ
numerically
Āčûļė ûŅ ĀņĚŀěč ĖùûĹņŞ Ĵýûį
S
Gûąĸ / ЙĻŀĹĻ
parameter
pattern
Łμ7đIJ9ûIJ ŁĬûĝ/
relative efficiency
strategy
ŁĶĹĦ ĀĹijĊ
verbally
ŁĻûý:
2ŀþĄ 9K/ ЙЛņćŀā
Reasoning and Proof
appropriate
üĔûļĂĸ
approximation
ĀЛýûĘĸ
Ĵņĵ7
argument
ûĻđIJ Йþĵûġĸ &ûĻŀК 9/ďŅŀĦ7
claim
conclusion
ЙĈņĂĻ
conjecture
¸:/ďĻ/
Gûąĸ Łý/ŀć
counterexample
ûĻđIJ ĀĊûĝK
explain
GоďĂĔ/ Łù/đİĂĔ/
inductive reasoning
logical argument
GоďĂĔ/ Łİġļĸ
mathematical conjecture
¸:/ďĻ/ ŁāûņĝûŅ9
proof
2ŀþĄ
refute
ûĻпŐĿć
9ûIJ ĮŅđĠ
ķĤļĸ
S
systematic approach
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Integrated Algebra
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Urdu
validity
ÃđŅĐŞđĄ/
Venn diagram
ЙIJûč ĺŅK
ûĻđIJ ĮŅďěā
verify
Gûěā/
Communication
ŁνĂĔ97
accuracy
ЙŅĒĈā
analyze
argument
GоďĂĔ/
coherent
/ŀК /Ǽć
ûĻđIJ /ďņŞ ğý9
communicate
ķЛĬ &‫ک‬/97/
comprehension
conclusion
ЙĈņĂĻ
conjecture
¸:/ďĻ/
ŁùûĘIJ Ēĸ9
decoding
ûĻđIJ đКûģ
elicit
equation
2/Kûĕĸ
evaluate
ûĻđIJ ĴĊ
ûĻûľǼý
extend
formula
ЙņĶIJ / Йĵŀĸ9ûĬ
function
ĴĦûĭā
graph
D/đμ
ĉŅđĘā
interpretation
mathematical visual
9ŀěā ŁāûņĝûŅ9
rationale
GоďĂĔ/ Łİġļĸ
ķņįđā (ŁāûņĝûŅ9) Ã9ûņħĸ
standard (mathematical) notation
ŁĶĹĦ ĀĹijĊ
strategy
table
ĀĔđЛĬ &É‫ڑ‬ûЛŞ
technical writing
đŅđċā Łijņļijā
2ûĊпġĚ/
terminology
đĄöĸ &ďļĂĕĸ
valid
ğý/K9
Connections
?ŀýđĸ ĴĹijĸ
coherent whole
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Urdu
concept
ЙŅđġĻ
connection
Йġý/9
ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ
formulate
physical model
ЙĻŀĹĻ ŁħņþĠ
procedure
9ûIJ ĮŅđĠ
S
ЙĻŀĹĻ ŁĂņĹIJ
quantitative model
ŁμďļùûĹĻ
representation
ŁμďļùûĹĻ
Representation
7ŀħĚ )ЙŅK/:
angle of elevation
array
9ûġį
chart
p9ûŶ
compare
ûĻđIJ ЙĶýûİĸ
diagram
Ĵijė &ЙIJûč
equation
2/Kûĕĸ
function
ĴĦûĭā
graph
D/đμ
ĉŅđĘā
interpret
Йħį/K ŁāûņĝûŅ9
mathematical phenomena
ûĻđIJ ķĤļĸ
organize
Йħį/K ŁāûħņþĠ
physical phenomena
ĥĬûļĸ
profit
‫ڈ‬9ûijŅ9
record
Йħį/K ŁćûĹĔ
social phenomena
ĀĸпĦ
symbol
ĀĔđЛĬ &É‫ڑ‬ûЛŞ
table
technology
Łćŀĵûļijņŏ
translate
ûĻđIJ ЙĹćđā
9ûIJ ĮŅđĠ
9K/ ēĊ Ã7ďĦ
S
Number Sense and Operations
ĀĹņį ĮĶġĸ
W
ЙĶĕĸ ŁùûŅđþĈĵ/
absolute value
algebraic problem
9ûIJ ĮŅđĠ
ŁýûĕĊ
S
arithmetic operation
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(2о7ûþĂĸ) üņā/đā
arrangements (permutations)
H:пā ĀņĚûč
associative property
closure property
<ďļý ĀņĚûč
commutative property
Йĵ7ûþĸ ĀņĚûč
Ϋņļijā ŁIJ ЭĻđIJ 9ûĹė / Эļļμ
counting techniques
ЙŅ9ûĘĦ
decimal
denominator
4đĎĸ
discount
ŁāŀŐIJ
ŁĹņĕİā ĀņĚûč
distributive property
ЙĶĹć ĥŅđĔ
exponential expression
ЙĶĹć
expression
Йņýđĝ Ēć
factorial
ЙĠûĊ/ &I/ďņĸ
field
đĕIJ
fraction
9ûĹė GŀĚ/
Ã7ûņļý
S
¸Kđμ
Fundamental Principle of Counting
group
identity property
ĀņĚûč Йİýûġĸ
inverse property
ĀņĚûč ;ŀijħĸ
2ûĊûġĚ/ Ã9Đć ĴĄûĹĸđņĩ / ĴĄûĹĸ
like/unlike radical terms
ЙŅđĤĻ Ã7ďĦ
number theory
¸ďļļIJ9ûĹė
numerator
ďěņĬ ŁIJ ЭļŐĿμ / ЭļľǼý
percent of increase/decrease
0đĝ ĴĚûĊ
product
2ûņĚûč ŁIJ 7/ďĦ/ ĴĚ/
properties of the Real numbers
EđĬ ĀĔ/9 ¸/đý
S / üĔûļā
ĀĹņį ĴĚûĊ
proportionality/direct variation
quotient
Ã9Đć
radical
9KĐĈĸ
radicand
7/ďĦ/ ĴĚ/
real numbers
ķņįđā ŁĕļùûĔ
scientific notation
29ŀĚ ĺŅđā ¸7ûĔ
simplest form
đņĪĂĸ
variable
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Algebra
/đþĈĵ/
ЙŅK/: ¸7ûĊ
acute angle
adjacent side/angle
ЙŅK/: / ¸9ûļIJ ĴěĂĸ
algebraic equation
2/Kûĕĸ Łù/đþĈĵ/
algebraic expression
ЙĶĹć Łù/đþĈĵ/
algebraic fraction
đĕIJ Łù/đþĈĵ/
ЙŅĒĈā
analyze
9ŀċĸ ЭIJ üĔûļā
axis of symmetry
ŁĹį9K7
binomial
đĔ Ã7ďĦ
coefficient
7ûņļý ‫ک‬đĂĘĸ
common base
ЙĦŀĹĈĸ ŁĶŅ8 ûIJ )ûņė/ ķĹĂĸ
complement of a subset
coordinates
7ďċĸ
cosine
HûĹĂĵ/
ĥýûā
dependent
EđĬ ûIJ ±ŀħýđĸ ĴĸûIJ K7
difference of two perfect squares
element
đěļĦ
equation
2/Kûĕĸ
exponent
ûĹĻ ĀįûĠ
G/K: 9K/ ŁāŀľǼý ĥŅđĔ
exponential growth and decay
ЙĶĹć
expression
ûĻđIJ +Ēć/
factoring
ЙĶĹć ÃđĕIJ
fractional expression
ķĤĦ/ 7ûĦ
S
đāK
greatest common factor (GCF)
hypotenuse
đņĪĂĸ ĥýûāđņĩ
independent variable
2/Kûĕĸđņĩ
inequality
7ďĦ
integer
integral coefficient
đĔ Ã7ďĦ ĴĹijĸ
integral exponent
ûĹĻ ĀįûĠ ĴĹijĸ
9Ēć ĴĹijĸ
integral root(s)
ЙĦŀĹĈĸ ĥĠûİā
intersection of sets
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ЙĭįK ŁĹņįđā
interval notation
đĔ Hďİĸ
lead coefficient
ÉđĔ ЭIJ ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį
legs of a right triangle
ğč Ã:/ŀĂĸ ЭIJ 9ŀċĸ Łù/K ûŅ ēijŅ/
line parallel to the x- or y-axis
2/Kûĕĸ Łć97 ΫŅ Ўņĸ đņĪā ΫŅ/
linear equation in one variable
2/KûĕĸûĻ Łć97 ΫŅ Ўņĸ đņĪā ΫŅ/
linear inequality in one variable
2/Kûĕĸ ŁİņİĊ
literal equation
2ďĸ ķIJ ЭĔ ķIJ ŁIJ đĕIJ
lowest terms fraction
¸7ûŅ: ЭĔ ďĊ
monomial
đĭĚ @ûċĶý ĀņĚûč ŁIJ 0đĝ
multiplication property of zero
ЭŅK/: / É9ûļIJ īĵûĎĸ
opposite side/angle
Ĵijė ÃŀĞņý
parabola
Ã:/ŀĂĸ
parallel
ДāûĔ ЭIJ 2đąIJ
polynomial
0đĝ ĴĚûĊ
product
2ûņĚûč ŁIJ ûĹĻ ĀįûĠ
properties of exponents
üĔûļā
W
39ŀĩûąņĬ ЙĶĕĸ
proportion
Pythagorean Theorem
2/Kûĕĸ Łħý9
quadratic equation
quantitative
ЙĻŀĹĻ ŁĂņĹIJ
quotient
ĀĹņį ĴĚûĊ
ĀþĕĻ
ratio
ĮĶħā
relation
ЙŅK/Ēĵ/ ЙĹùûį
right angle
ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį
right triangle
9Đć ûIJ 2/Kûĕĸ ΫŅ/
root(s) of an equation
H9ûĬ 2ûįKо/ HûĤĻ
roster form
ЙĦŀĹĈĸ
set
ķņįđā 9ûIJ ЙĦŀĹĈĸ
set-builder notation
üņć
sine
Iпľ‫ڈ‬
W
ĴĊ ЙĦŀĹĈĸ
slope
solution set
ЙĦŀĹĈĸ ŁĶŅ8
subset
T-7686 (Urdu)
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R
ĥĹć ĴIJ
sum
system of linear inequalities
HûĤĻ ûIJ 2/KûĕĸûĻ Łć97 ΫŅ
systems of linear equations
HûĤĻ ûIJ 2/Kûĕĸ Łć97 ΫŅ
;ûĹĸ
tangent
(Ўņĸ ŁĂĸпĦ ЭĔ ŁĻûý:) ûĻđIJ ЙĹćđā
translate (from verbal to symbolic)
2пąĶąĸ ķĶĦ
trigonometry
ûļμ ĺņā / ŁĹį9 ЙĔ
trinomial
ĺņħĸ đņĩ
undefined
union of sets
Gûěā/ ûIJ ±ŀĦŀĹĈĸ
universal set
ЙĦŀĹĈĸ ŁĹĵûĦ
đņĪā
variable
verbal expression
đĄûā ŁĻûý:
verbal sentence
ЙĶĹć ŁĻûý:
vertex
;/đĵ/ ĀĹĔ
x-axis
9ŀċĸ ûIJ ēijŅ/
y-axis
9ŀċĸ ûIJ Łù/K
ÃđŐņĸŀņć
Geometry
ĴĦûĭā ĀĹņį ĴĹijĸ
absolute value function
angle
ЙŅK/:
area
Йþį9
9ŀċĸ ЭIJ ĀĔûļā ЭIJ ŁĬûijĸ
axis of symmetry of a parabola
¸đù/7
circle
đĔ Ã7ďĦ
coefficient
cylinder
ĺĶņý
decagon
đĘħĸ
ĴĦûĭā ĥŅđĔ
exponential function
ĴĦûĭā
function
ûĻđIJ ķņĹħā
generalize
geometric shape
Ĵijė ŁIJ ÃđŐņĸŀņć
graph of a relation
D/đμ ûIJ ğý9 ŁĕIJ
hexagon
ŁħĶĝ Ėė
investigate
ûĻđIJ Įņİċā
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ŁħĶĝ ŀĻ
nonagon
Aпĝ/ Дŏ* / ĀĘК
octagon
/‫ڑ‬ŀć üāđĂĸ
ordered pair
ĴĦûĭā ŁĬûijĸ
parabolic function
Aпĝо/ Ã:/ŀĂĸ
parallelogram
pentagon
ŁħĶĝ ĆļŞ
perimeter
ЙĠûĊ/
Aпĝо/ đņąIJ
polygon
ŁħĶĝ 9ûŶ
quadrilateral
ЙŅK/: ŁùûĿāŀŶ
quarter-circle
đĔ Ã7ďĦ ĮĠûĻ
rational coefficient
ĴņġĂĕĸ
rectangle
;ŀĿŏ ŁĶņġĂĕĸ
rectangular solid
Aпĝо/đņąIJ ¸ďĦûįûý
regular polygon
relation
ĮĶħā
rhombus
ĺņħĸ
9Đć ûIJ ĴĦûĭā ŁĬûijĸ
roots of a parabolic function
Aûġį ûIJ ¸đù/7
sector of a circle
¸đù/7 ķņĻ
semi-circle
GоďĂĔ/ ŁĻûijĸ
spatial reasoning
ĥýđĸ
square
Йþį9 ŁċġĔ
surface area
ûĹĻ Dđċļĸ &ûĹĻ ЙİĻ8K8
trapezoid
triangle
ăĶąĸ
vertex
;/9
9ûěþĂĔ/
visualization
ķĈĊ
volume
ĖùûĹņŞ
Measurement
ŁùûIJ/ üĔûļĸ
appropriate unit
ŁĶŅďþā
conversion
ŁùûIJ/ üħijĸ
cubic unit
ŁġĶĩ
error
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Integrated Algebra
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ĖùûĹņŞ Łć97 ΫŅ
linear measure
ŁùûIJ/ Łć97 ΫŅ
linear unit
9/ďİĸ
magnitude
HûĤĻ ûIJ ĖùûĹņŞ
measurement system
5đė
rate
ŁġĶĩ ŁĬûĝ/
relative error
ŁùûIJ/ ĥýđĸ
square unit
ŁùûIJ/
unit
GûĹĂĊ/ 9K/ 2ûŅ9ûĹė
Statistics and Probability
ĀņþĔûļĸ
appropriateness
9/ďþĻûć
biased
¸đņĪĂĸK7
bivariate
box-and-whisker plot
pпŞ đijĔK ŻļŅ/ ēIJûý
calculated probability
GûĹĂĊ/ ¸7đIJ9ûĹė
ûļŅ7 üņāđā 9/K Йć97
categorize
üþĔ
causation
Iûċć9 ÃĒIJđĸ
central tendency
HûĹā/
complement
GûĹĂĊ/ ?KđĘĸ
conditional probability
ĮĶħā ŁĹКûý
correlation
GKďć ûIJ ķņĕİā 7ďħā ЙĹIJ9
cumulative frequency distribution table
ЙĘİĻ ŁĹĵûIJ 7ďħā ЙĹIJ9
cumulative frequency histogram
9ûĹėK 7/ďĦ/
data
dependent events
Йħį/K ĥýûā
dependent variable
đņĪā ĥýûā
đěļĦ
element
empirical probability
GûĹĂĊ/ ŁāûņĕĊ
experimental design
ĺù/ĒŅ‫ ڈ‬ŁāûýđĈā
extrapolation
4/97/ Łù/9K
favorable event
Йħį/K ĮĬ/ŀĸ
Йνć ЙĻŀĹĻ 7Kďċĸ
finite sample space
9ûěĂč/ ŁāûŅ9ûĹė ŵĻûŞ
five statistical summary
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GKďć ûIJ ķņĕİā 7ďħā
frequency distribution table
D/đμ ŁĹĵûIJ
histogram
2ûħį/K ĥýûāđņĩ
independent events
đņĪā ĥýûāđņĩ
independent variable
4/9ďĻ/
interpolation
ğč ûIJ Įýûġĸ ĺŅđĂЛý
line of best fit
Gďþā Łć97 ΫŅ
linear transformation
ĀĹņį ķĤĦ/
maximum
ğĔK/
mean
ĖùûĹņŞ ŁIJ Iûċć9 ÃĒIJđĸ
measure of central tendency
median
ЙņĻûġĔK
minimum
ĺŅđā ķIJ
¸7ûĦ
mode
2ûħį/K ŁĚŀěč ķКûý
mutually exclusive events
2ûħį/K ŁĚŀěč ŁĹКûýđņĩ
not mutually exclusive events
Ãďļý Йć97 ЙŅďĚ
percentile rank
probability
GûĹĂĊ/
qualitative
ŁĂņĚûč
ŁĂņĹIJ
quantitative
quartiles (specifically: first, second, third
or lower, middle, upper)
Ãđĕņā &ÃđĔK7 &ŁĶЛŞ :=ûč 9ŀġý) ĥņýđā
(ÃđŞK/ &ŁĻûņĸ97 &ŁĶŷĻ ûŅ
ĀħĔK / ďĊ
range
Йνć ЙĻŀĹĻ
sample space
pпŞ đĘĂļĸ
scatter plot
ЙĶĕĶĔ
series
¸đņĪĂĸ ΫŅ
univariate
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