Glossary Intermediate School Level Mathematics Glossary English / Urdu Translation of Mathematics Terms Based on the Coursework for Mathematics Grades 6 to 8. 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. GRADES 6,7,8 COMPILED LIST absolute value accurately label work adapt additive inverse adjacent adjacent side of a triangle algebra algebraic equation Urdu ĀĹņį ĴĹijĸ HûIJ ¸7: IûĘĻ ĀĔ97 ûĻđIJ 9ûņĂč/ ;ŀijħĸ ŁħĹć ĴěĂĸ ĀĹĔ ĴěĂĸ ŁIJ ăĶąĸ /đþĈĵ/ 2/Kûĕĸ Łù/đþĈĵ/ algebraic expression ЙĶĹć Łù/đþĈĵ/ algebraic inequalities ĀņĻûĕijŅđņĩ Łù/đþĈĵ/ algebraic pattern ЙĻŀĹĻ Łù/đþĈĵ/ algebraic solution ĴĊ Łù/đþĈĵ/ algebraically Ўņĸ Iûý: ŁIJ /đþĈĵ/ alternate exterior angles ЙŅK/: ŁĻKđņý G7ûþĂĸ alternate interior angles ЙŅK/: ŁĻK9ďĻ/ G7ûþĂĸ altitude Aûĭā9/ analyze ûĻđIJ ЙŅĒĈā angle bisector īĚûĻ ŁāûŅK/: angle pairs Éڑŀć ŁāûŅK/: apply apply a variety of strategies appropriate mathematical terms approximation arc area area of a circle argument arithmetically associative property of addition associative property of multiplication base (of percent) EпĠ/ ûĻđIJ EпĠ/ ûIJ ±ŀņĶĹĦ ĀĹijĊ īĶĂĎĸ 2ûĊпġĚ/ üĔûļĸ ŁIJ ŁĝûŅ9 ĀЛýûĘĸ ;ŀį Йþį9 Йþį9 ûIJ ¸đù/7 Ĵņĵ7 ЭĔ GûĹħĂĔ/ ЭIJ ŁĝûŅ9 H:пā ĀņĚûč ŁIJ ĴĹĦ ЭIJ ĥĹć H:пā ĀņĚûč ŁIJ ĴĹĦ ЭIJ ЭļŅ7 0đĝ (ŁIJ ďěņĬ) ¸ďĦûį base of a 2-dimensional shape Ĵijė Ã7ûħý/ K7 ¸ďĦûį base of a 3-dimensional shape Ĵijė ŁĂŅďħý ¸ďĦûį base ten number system HûĤĻ ÃđþĹĻ ;7 ¸ďĦûį binomial ŁĹį9 K7 bisector ûĻđIJ īņěļā calculate ûĻđIJ 0ûĕĊ calculate distance calculate unit price calculate volume Celsius central angle ûĻđIJ 0ûĕĊ ûIJ ЙĶĚûĬ ûĻđIJ 0ûĕĊ ûIJ ĀĹņį ŁIJ ΫŅ/ ûĻđIJ 0ûĕĊ ûIJ ķĈĊ ЙĻûĹņŞ ûIJ 29/đĊ Йć97 ЙŅK/: ÃĒIJđĸ chord đāK ûIJ Éđù/7 circle ¸đù/7 circle graph D/đμ ûĹĻ ¸đù/7 circumference ğņċĸ ûIJ ¸đù/7 clarifying questions coefficient 2о/ŀĔ ŁĂĊûĝK ¸ďļļIJ 0đĝ coherent ĉĝ/K collaboration IKûħā combine like terms commission commutative property of addition commutative property of multiplication Łĕņć ΫŅ/ ûĻđIJ ĜŅŀĭā HûIJ &ķį9 ďěņĬ ĀņĚŀěč ŁIJ Йĵ7ûþĸ ŁIJ ĥĹć ĀņĚŀěč ŁIJ Йĵ7ûþĸ ŁIJ 0đĝ compare strategies ЙĻ:/ŀĸ ûIJ ±ŀņĶĹĦ ĀĹijĊ compare unit prices ЙĻ:/ŀĸ ûIJ ±ŀĂĹņį ŁIJ ΫŅ/ compass complementary angles compound events comprehend conclusion conduct congruent 9ûIJđŞ ЭŅK/: ķĹĂĸ 2ûħį/K ¸7ûŅ: ЭĔ ΫŅ/ ËЙħį/K üIJđĸ ûļĿĈĹĔ HûĂĂč/ ËûĻđIJ ķĂč HûĤĂĻ/ ĴĄûĹĂĸ conjecture (noun) ûĻûνĵ ЙļņĹĎā / ;ûņį conjecture (verb) ЙļņĹĎā / ;ûņį connections consecutive integers ğý/K9 7/ďĦ/ ŁĂņýđā consolidate ûĻđIJ ûĈijŅ constraints pKûIJ9 construction đņĹħā convert money convert capacity within a given system convert mass within a given system ûĻđIJ ĴŅďþā ŀIJ ŁĕĻđIJ ûĻđIJ ĴŅďþā ĖùûĈļμ Ўņĸ HûĤĻ Эúμ ЭŅ7 ŁĕIJ ûĻđIJ ĴŅďþā ¸7ûĸ Ўņĸ HûĤĻ Эúμ ЭŅ7 ŁĕIJ convert volume within a given system ûĻđIJ ĴŅďþā ķĈĊ Ўņĸ HûĤĻ Эúμ ЭŅ7 ŁĕIJ convert within a given system ûĻđIJ ĴŅďþā Ўņĸ HûĤĻ Эúμ ЭŅ7 ŁĕIJ coordinate geometry coordinate plane corresponding angles corresponding sides counterexample counting (natural) numbers counting numbers cup customary units of capacity customary units of mass data ÃđŐņĸŀņć Ã7ďċĸ ÃŀĂĕĸ Ã7ďċĸ ЭŅK/: ¸đģûļĂĸ ЎņĂĹĔ ¸đģûļĂĸ Gûąĸ Łý/ŀć ûļļμ (ÃđġĬ) 7/ďĦ/ ûļļμ 7/ďĦ/ ŁĵûņŞ ēŐĻŀŅ ŁĂŅ/K9 ЭIJ ĖùûĈļμ ēŐĻŀŅ ŁĂŅ/K9 ЭIJ ¸7ûĸ 7/ŀĸ decode ûļĵŀĿIJ ŀIJ HûĪņŞ Йņĭč ËŁùûĘIJ Ēĸ9 defend ûĻđIJ ĀħĬ/ďĸ degree of a polynomial density dependent events describe develop formulas diameter differentiate ŁĹį9 đņąIJ Йć97 ĀĬûąIJ 2ûħį/K ĥýûā ûĻđIJ Iûņý ûĻûļý Йĵŀĸ9ûĬ đġį ûĻđIJ :ûņĂĸ/ &ĮŅđĭā dilate ûĻпņĿŞ dilation ,пņĿŞ dimensions discuss distance distinguish distributive property domain double bar graph Āĸûĕć &ĖùûĹņŞ W ûĻđIJ Gûņč Йĵ7ûþā ЙĶĚûĬ ûĻûĂý EđĬ ĀņĚûč ŁĹņĕİā ЙįпĦ &ĺņĸKڈ D/đμ 9ûý /đКK7 double line graphs D/đμ ĺņùо /đКK7 draw a graph Ўņùûļý D/đμ ΫŅ/ draw a picture Ўņùûļý đŅŀěā ΫŅ/ draw conclusions equation equation of a line ЎņĵûijĻ ЙĈņĂĻ 2/Kûĕĸ 2/Kûĕĸ ŁIJ ğč equidistant equivalent customary units of capacity equivalent fractions equivalent numerical expressions equivalent ratios estimate ЙĶĚûĬ ûIJ đý/đý ēŐĻŀŅ ŁĂŅ/K9 D7/đĂĸ ЭIJ ķĈĊ 2ûŅđĕIJ D7/đĂĸ ЭĶĹć Ã7/ďĦ/ D7/đĂĸ ЎņĂþĕĻ D7/đĂĸ ûĻûνĵ ¸:/ďĻ/ area Йþį9 circumference đġį volume ķĈĊ evaluate ûļŷĻûć evaluate conjectures ûļŷĻûć ŀIJ ЙļņĹĎā evaluate efficiency ûļŷĻûć ŀIJ 29ûЛĸ exchange rate table expenses ĀĔđЛĬ ŁIJ 5đė G7ûþĂĸ 2ûć/đč/ explain ûĻđIJ ĀĊûĝK explore ûĻđIJ Įņİċā exponent exponential form extend exterior angle extremes (of a proportion) faces and bases of cones of cylinders of prisms of pyramids factor Fahrenheit favorable outcomes fixed distance ûĹĻ ĀįûĠ 29ŀĚ ŁIJ ûĹĻ 2ŀį ûĻûľǼý ЙŅK/: ŁĻKđņý ûЛĂĻ/ ŁIJ üĔûļā ЎŅ7ûņļý 9K/ ЎņĶijė ŁIJ ĒĻŀIJ ŁIJ 9ŻļņĶĔ ŁIJ (H:đŞ) 9ŀĘļĸ ŁIJ H/đК/ Ēć ŎņùûК I9ûĬ ĆùûĂĻ ¸ďŅďļĕŞ formally ЙĶĚûĬ ¸9đİĸ N ûĹĔ9 formula ЙņĶIJ &Йĵŀĸ9ûĬ formulate formulate mathematical questions ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ Йĵŀĸ9ûĬ ûļĿijĵ Ўņĸ Ĵijė ŁIJ Йĵŀĸ9ûĬ ŀIJ 2о/ŀĔ ŁāûņĝûŅ9 fraction đĕIJ frequency 7ďħā frequency table ĀĔđЛĬ ŁIJ 7ďħā function function notation function rule fundamental counting principle gallon generalizations geometric shape geometry ĴĦûĭā ķņįđā ĴĦûĭā Йġýûĝ ĴĦûĭā 9ûĹė GŀĚ/ Ã7ûņļý S ĺĶņμ ķņĹħā Ĵijė کđŐņĸŀņć ÃđŐņĸŀņć graphically đIJ ûļý D/đμ gratuity Āĸďč )ЙĶĚ greatest common factor height histogram hypotenuse ideas identity identity element identity property of addition identity property of multiplication image impossible outcomes ķĤĦ/ 7ûĦ ŁùûŷĻK/ ķĕį ŁIJ D/đμ đāK 2/9ŀěā ЙİýûġĂĸ đěļĦ ЙİýûġĂĸ ĀņĚûč ŁāûİýûġĂĸ ŁIJ ĥĹć ĀņĚûč ŁāûİýûġĂĸ ŁIJ 0đĝ Ĵijė / ēijĦ ĆùûĂĻ ЙļijĹĸ đņĩ income ŁĻďĸ* indirect ЙġĔ/ŀĵûý inductive reasoning GоďĂĔ/ Łù/đİĂĔ/ inequality Ãđý/đýûĻ informally ŁĹĔ9 đņĩ / ŁāûŅ/K9đņĩ input values integer integer coefficients ĀĹņį Ãďĸ*97 7ďĦ đĔ Ã7ďĦ integral ĴĹijĸ &/9ŀŞ integral exponents 7/ďĦ/ ĴĹijĸ interconnect interest ûĻđIJ ?ŀýđĸ 7ŀĔ interest rates 5đė ŁIJ 7ŀĔ interior angle ЙŅK/: ŁĻK9ďĻ/ interpret ĉņĝŀā &ŁĻûĹćđā interpret graphs ûĻđIJ ĉņĝŀā ŁIJ D/đμ invalid approach 9ûIJ ĮŅđĠ ęįûĻ S inverse element đěļĦ ;ŀijħĸ inverse operation ;ŀijħĸ Ĵĸ/ŀĦ investigate investigate conjectures irrational numbers irregular polygon irrelevant information justify language of logic (and, or, not) ûĻđIJ 2ûİņİċā ЎŅđIJ 2ûİņİċā ŁIJ É:/ďĻ/ 7/ďĦ/ ĮĠûĻđņĩ Aпĝо/đņąIJ ¸ďĦûį Эý 2ûĸŀĶħĸ ЙİĶħĂĸđņĩ ûĻđIJ ЙЛņćŀā (ЎņЛĻ &ûŅ &9K/) Iûý: ŁIJ Įġļĸ law of exponents for division IŀĻûį ûIJ ûĹĻ ĀįûĠ Эņĵ ЭIJ ķņĕİā law of exponents for multiplication IŀĻûį ûIJ ûĹĻ ĀįûĠ Эņĵ ЭIJ 0đĝ laws of exponents legs of a right triangle length levels of precision like (common) denominators like terms line line graph line symmetry linear equation ĺņĻ/ŀį ЭIJ ûĹĻ ĀįûĠ Aпĝ/ ЭIJ ăĶąĸ ЙŅK/Ēĵ/ НĹùûį ŁùûþĹĵ 5ŀġĔ ŁIJ ŁĂĔ97 ûĹĻ üĕĻ (HûĦ) ĴĄûĹĸ 2ûĊпġĚ/ ĴĄûĹĸ ĺņùо &ğč /đņŞ Łġč &ЙIJûč ğč üĔûļā ğč S 2/Kûĕĸ Łć97 ΫŅ linear inequalities 2/KûĕĸûĻ Łć97 ΫŅ linear relationship ĮĶħā Łć97 ΫŅ liter logic đŐĵ Įġļĸ logical argument Ĵņĵ7 Łİġļĸ logical reasoning GоďĂĔ/ Łİġļĸ lowest terms magnitude make conjectures manipulative(s) map scale mathematical argument mathematical ideas mathematical language 2ďĸ ķIJ ЭĔ ķIJ 9/ďİĸ ûĻûνĵ ¸:/ďĻ/ 7/ŀĸ ЭIJ ڑŀā ڑŀć ЙĻûĹņŞ ûIJ ЙĘİĻ Ĵņĵ7 ŁāûņĝûŅ9 2/9ŀěā ŁāûņĝûŅ9 Iûý: ŁāûņĝûŅ9 mathematical phenomena đКûĤĸ ŁāûņĝûŅ9 mathematical relationships ĮĶħā ŁāûņĝûŅ9 mathematical statement Iûņý ŁāûņĝûŅ9 mean ğĔK/ means (of a proportion) (ûIJ üĔûļā) ğĔK/ measure capacity ĀņĊпĚ ŁĘùûĹņŞ measures of central tendency median methods of proof metric system ĖùûĹņŞ ŁIJ ,ûijĿć ŁġĔK ğĔK ЭİŅđĠ ЭIJ ЭĻđIJ ĀýûĄ HûĤĻ ÃđŐņĸ metric units of capacity ēŐĻŀŅ کđŐņĸ ЭIJ ķĈĊ metric units of mass ēŐĻŀŅ کđŐņĸ ЭIJ ¸7ûĸ milliliter đŐņĵ ŁĶĸ misleading ĺIJ ¸/đĹμ mixed number 7ďĦ ?ŀĶĎĸ mode ¸7ûĦ model (noun) ЙĻŀĹĻ model problems Ĵùûĕĸ ЙĻŀĹĻ model situations ĥį/ŀĸ ЙĻŀĹĻ model using manipulatives model(s) ЭĻŀĹĻ ЭIJ ЭĻđIJ GûĹħĂĔ/ 7/ŀĸ ڑŀā ڑŀć (ЭĻŀĹĻ) ЙĻŀĹĻ models ЭĻŀĹĻ monitor ûĻđIJ ŁĻ/đνĻ monomial multiple multiple representations multiplicative inverse (reciprocal) multiply (multiplication) natural numbers negative nonadjacent side of a triangle nonlinear equation nonlinear relationship non-perfect squares non-repeating decimal nonstandard representations non-terminating decimal not preserved ŁĹį9 ΫŅ Dûħĝ/ ЎņĘIJ ĖņŞ ŁĬûħĝ/ (ЙĬđĠ K7) ;ŀijħĸ Łýđĝ (0đĝ) ûļŅ7 0đĝ đþĹĻ Łā9ďį Łĭļĸ ЭħĶĝ ĴěĂĸ đņĩ ЭIJ ăĶąĸ 2/Kûĕĸ Łġč ķК đņĩ ĮĶħā Łġč ķК đņĩ ĥýđĸ ĴĹijĸ đņĩ ЙŅ9ûĘĦ/ 9đijĸ đņĩ ŁμďļùûĹĻ Ã9ûņħĸ đņĩ ЙŅ9ûĘĦ/ ķĎĂļĸ đņĩ ûņμ ûņIJ ЎņЛĻ @ŀĭċĸ number line ğč Ã7ďĦ number system HûĤĻ Ã7ďĦ numeric (arithmetic) expression ЙĶĹć (ŁāûņĝûŅ9) Ã7ďĦ numerical problem numerically observe patterns operation operations with polynomials order (verb) order of operations ordered pair organize work organized chart organized list parallel lines percent ЙĶúĕĸ Ã7ďĦ Ã7ďĦ ûĻđIJ ¸ďКûĘĸ ûIJ ±ŀĻŀĹĻ ĴĹĦ ĴĹĦ ДāûĔ ЭIJ ŁĹį9đņąIJ ûļŅ7 üņāđā üņāđā ŁIJ GûĹĦ/ /ڑŀć üāđĸ ûĻđIJ ķĤļĸ ŀIJ HûIJ ûĻđIJ ķĤļĸ ŀIJ p9ûŶ ĀĔđЛĬ ķĤļĸ ?ŀġč Ã:/ŀĂĸ ďěņĬ percent decrease ŁĹIJ ďěņĬ percent increase ŁĘņŞ ďěņĬ percent of quantity perfect square perimeter perpendicular bisector personal references for capacity personal references for units of mass physical phenomena pi (π) ďěņĬ ûIJ 9/ďİĸ ĥýđĸ ĴĹijĸ ЙĠûĊ/ īĚûĻ Ã7ŀĹĦ 2ûć Йĵ/ŀĊ Łā/8 Эņĵ ЭIJ ķĈĊ 2ûć Йĵ/ŀĊ Łā/8 Эņĵ ЭIJ ±ŀņùûIJ/ ŁIJ ¸7ûĸ ¸đКûĤĸ ŁĻûĹĕć (π) ŁùûŞ pint ŎļùûŞ plot ЙIJûč point ЙĂijĻ polygon Aпĝо/đņąIJ polynomial ŁĹį9đņąIJ population Ã7ûý* positive Āþąĸ possible outcomes ĆùûĂĻ ЙļijĹĸ power ĀįûĠ predict Łùŀμ ĺņĘņŞ pre-image ЙņЛþė ĮýûĔ preserved @ŀĭċĸ prime factorization probability ûĻđIJ HŀĶħĸ Łýđĝ Эù/Ēć/ 7đĭĸ GûĹĂĊ/ procedures process of elimination profit properties of real numbers proportion proportional reasoning proportionality protractor Pythagorean theorem quadrant quadratic equation 9ûIJ ĮŅđĠ S ĴĹĦ ûIJ ЭĻđIJ ķĂč ĥĭĻ ĀņĚûč ŁIJ 7/ďĦ/ ŁİņİĊ üĔûļā GоďĂĔ/ üĔûļĂĸ ĀþĔûļĸ ĖIJ ЙŅK/: ЙĶúĕĸ ŁĄ9ŀĩûąņĬ ĥý9 2/Kûĕĸ Łć/9ďĸK7 quadratics Łć/9ďĸK7 quadrilateral ŁħĶĝ9ûŶ quart (ĺĶņμ) ŁùûĿāŀŶ radius đġį range ĀħĔK rate 5đė rate 5đė rate of change 5đė ŁIJ ŁĶŅďþā rate of interest 5đė ŁIJ 7ŀĔ ratio rational number ĀþĕĻ 7ďĦ ĮĠûĻ rationale 7ûņļý Łİġļĸ real numbers 7/ďĦ/ ŁİņİĊ reasonableness of a solution recognize connections record data rectangle rectangular prism reflect reflection refute regular polygon relation relative error relevant information repeating decimal results Āņĵŀİħĸ ŁIJ ĴĊ ŁĕIJ Āčûļė ŁIJ ğý/K9 ûļĿIJ9 ڈ9ûijŅ9 ûIJ 9ûĹėK7/ďĦ/ ĴņġĂĕĸ 9ŀĘļĸ ŁĶņġĂĕĸ ŁĔûijĦ ēijĦ ûĻđIJ ďŅ7đā AпĞĵ/đņąIJ ¸ďĦûįûý ĮĶħā ŁġĶĩ ЙİĶħĂĸ 2ûĸŀĶħĸ ЙİĶħĂĸ ЙŅ9ûĘĦ/ 9đijĸ ĆùûĂĻ rhombus right angle rotate rotation rotational symmetry round (verb) rule sale price sales sampling scientific notation sector segment bisector similar triangles simple interest simplify simplify expressions slope slope-intercept form social contexts social phenomena solution solution set solution set of an equation solution set of an inequality solutions solve ĺņħĸ ЙĹùûį ЙŅK/: ûĻđIJ <7đμ <7đμ üĔûļā / ĴIJûĘā Łė7đμ ûļĸŀĿμ Gŀμ GŀĚ/ ĀčKđĬ ĀĹņį S ĀčKđĬ ûĻđIJ ĴĚûĊ ЭĻŀĹĻ ķņįđā ŁĕļùûĔ Aûġį īņļěā ŁIJ Йħġį ăĶąĸ ĴĄûĹĸ 7ŀĔ HûĦ ûĻđIJ 9ûěĂč/ 9ûěĂč/ ûIJ ±ŀĶĹć I/ŀĶľڈ 29ŀĚ ŁIJ ĥġį )ЙġİĻ - I/ŀĶľڈ īù/ŀIJ ŁćûĹĔ đКûĤĸ ŁćûĹĔ ĴĊ W ĴĊ ЙĦŀĹĈĸ W ĴĊ ЙĦŀĹĈĸ ûIJ 2/Kûĕĸ W ĴĊ ЙĦŀĹĈĸ ûIJ 2/Kûĕĸđņĩ ĴĊ ûĻđIJ ĴĊ solve a simpler problem ûĻđIJ ĴĊ ЙĶúĕĸ ¸7ûĔ spatial reasoning Ĵņĵ7 ĮĶħĂĸ ЭĔ Йνć special case(s) square square root standard form of a number standard representations statistics straight edge strategies strategy selection (ĒĕņIJ) ēņIJ =ûč ĥýđĸ ĥýđĹĵ/9Ēć 29ŀĚ Ã9ûņħĸ ŁIJ 7ďĦ ΫŅ/ ŁμďļùûĹĻ Ã9ûņħĸ 2ûŅ9ûĹė ûĻŀIJ ûľďņĔ ±ûņĶĹĦ ĀĹijĊ 0ûĎĂĻ/ ûIJ ŁĶĹĦ ĀĹijĊ subset substitute KĒć ŁĶŅ8 G7ûþĂĸ supplementary angles ЭŅK/: ŁĹĂā supportive argument Ĵņĵ7 IKûħĸ surface area of prisms Йþį9 ŁċġĔ ûIJ 9ŀĘļĸ surface area of cylinders Йþį9 ŁċġĔ ûIJ 9ŻļņĶĔ symbols in verbal form 2ûĻûĘĻ Ўņĸ Ĵijė ŁĻûý: symbols in written form 2ûĻûĘĻ Ўņĸ Ĵijė ÃđŅđċā symmetry system of equations system of inequalities table of values tax technical writing term terminating decimal transformation transformational geometry translate ĴIJûĘā / üĔûļā HûĤĻ ûIJ 2/Kûĕĸ HûĤĻ ûIJ 2/KûĕĸûĻ ĀĔđЛĬ ŁIJ ĀĹņį ēijņŏ đŅđċā Łijņļijā 5пġĚ/ ЙŅ9ûĘĦ/ ķĹĂĎĸ ĴŅŀċā ÃđŐņĸŀņć ŁĶŅŀċā ûĻđIJ ĴİĂļĸ translation GûİĂĻ/ transversal ĥĠûį ğč trapezoid ûĹĻ ЙİĻ8K8 trial and error triangle trinomial unlike denominators valid approach validity of sample methods variable ŁġĶĩ 9K/ ŵĻûć ăĶąĸ ŁĹį9 ЙĔ ûĹĻ üĕĻ ĴĄûĹĸđņĩ 9ûIJ ĮŅđĠ đĄöĸ S ÃđŅĒŞđĄ/ ŁIJ ±ŀİŅđĠ ЙĻŀĹĻ đņĪā Venn diagram H/đμûŅ/ ڈĺŅK verbal expression 2/đĄûā ŁĻûý: verbal form verbal sentence verbal symbols verbally verify claims of others verify results vertex Ўņĸ Ĵijė ŁĻûý: ЙĶĹć ŁĻûý: 2ûĻûĘĻ ŁĻûý: ŁĻûý: ĮŅďěā ŁIJ ±KŀĦ7 ЭIJ ±KđĔK7 ĮŅďěā ŁIJ ĆùûĂĻ ;/9 vertical vertical angles vertical line test Ã7ŀĹĦ ЭŅK/: Ã7ŀĹĦ Ŏĕŏ ğč Ã7ŀĹĦ vertical lines ?ŀġč Ã7ŀĹĦ visualization ĴĹĦ ûIJ 9ŀěā volume ķĈĊ volume of a cylinder ķĈĊ ûIJ 9ŻļņĶĔ volume of a prism ķĈĊ ûIJ 9ŀĘļĸ whole number width work backwards write an equation written symbols y-intercept zero property of multiplication 7ďĦ ĴĹijĸ Łù/ڑŀŶ ûĻđIJ HûIJ Ўņĸ ĀĹĔ īĵûĎĸ ЎņĿijĵ 2/Kûĕĸ É9ûė/ ¸ďėđŅđċā ŎşņĔđŐĻ/ - y ĀņĚûč ŁIJ đĭĚ ŁIJ 0đĝ
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