THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Education - P-16 Office of Elementary, Middle, Secondary,

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Elementary School Level Glossary Mathematics

Mathematics Terms Based on the Coursework

Last Updated: 08/10/09 THE STATE EDUCATION

1 Elementary School Level Glossary Mathematics Glossary English / Korean Translation of Mathematics Terms Based on the Coursework for Mathematics Grades 3 to 5. 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

2 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Education - 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 MERRYL H. TISCH, Chancellor, B.A., M.A., Ed.D.... New York MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D.... Rochester ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S.... Tonawanda SAUL B. COHEN, B.A., M.A., Ph.D... New Rochelle JAMES C. DAWSON, A.A., B.A., M.S., Ph.D.... Plattsburgh ANTHONY S. BOTTAR, B.A., J.D.... Syracuse GERALDINE D. CHAPEY, B.A., M.A., Ed.D.... Belle Harbor HARRY PHILLIPS, 3rd, B.A., M.S.F.S.... Hartsdale JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D... Albany JAMES R. TALLON, JR., B.A., M.A.... Binghamton ROGER TILLES, B.A., J.D.... Great Neck KAREN BROOKS HOPKINS, B.A., M.F.A... Brooklyn CHARLES R. BENDIT, B.A.... Manhattan BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D... Bronx 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 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 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

3 Grades 3-5 English about above absolute value accurate accurately label work act it out acute angle acute triangle add addend addition addition fact addition sentence addition sign additive inverses after afternoon algebra algebraic expression algebraic patterns algebraic relationship algebraic relationships algebraically algorithm alike all all together almost amount analog clock analyze angle ( 렠 ) angles, adjacent answer ante meridian (a.m.) apex application apply approach appropriate mathematical language appropriate mathematical language organize work arc area argument argument conjecture counterexample arithmetic (numeric) expression arithmetic expression arithmetic fact arrange Korean 약위, 위의절대값정확한정확히표기된풀이 act it out 예각, 뾰족각예각삼각형더하기덧수덧셈덧셈관련사실덧셈식덧셈부호덧셈역수다음, 이후오후대수학대수식대수적패턴대수적관계대수적관계들대수적으로셈법, 알고리즘유사총, 전체다합해서거의총계아날로그시계분석앵글, 각각, 인접답오전 (a.m.) 정점응용, 적용응용, 대입, 계산접근적절한수학적언어적절한수학적언어정리작업호넓이논쟁추측을통한반증논의산술적 ( 숫자적 ) 표현산술적표현산수관련사실배열

4 array 배열, 배치 as long as as long as associative property 결합법칙 attribute 속성 autumn (fall) 가을 average 평균 axis (axes) 축 ( 축들 ) bar graph 막대그래프 base 밑변, 기수 base of a 3-dimensional figure 입체도형의밑면 base of a parallelogram 평행사변형의밑변 base of a polygon 다각형의밑변 base of a polyhedron 다면체의밑면 base of a rectangle 사각형의밑변 base of a triangle 삼각형의밑변 base ten number system 10 진법의기수 before 전, 이전 below 아래 beside between on 옆 / 사 / 위 big/bigger/biggest 큰 / 더큰 / 가장큰 bisect 이등분 calculate 계산 calendar 달력 capacity 용량 cardinal numbers (1-10) 기수, 계량수 (1-10) cent 센트 centimeter (cm) 센티미터 (cm) chance 기회, 우연 charts 도표 circle 서클, 원 circle graph 원그래프 circumference 원주, 둘레 clarify 명확히하다 classify triangles 삼각형분류 closed figure 닫힌도형 coin 동전 collaborate 협력하다 collection 수집, 모음 common 일반, 공동, 공통 common denominator 공통분모 common factor 공통약수 common multiple 공배수 commutative property of addition 덧셈의교환법칙 commutative property of multiplication 곱셈의교환법칙 compare 비교 compare numbers 숫자비교 incompatible numbers 상반되는숫자들 compensation 보상, 배상 complementary angles 보각 compose a number 숫자구성 compose shapes 도형구성 composite number 합성수

5 concentric circles conclusion concrete representations cone congruent congruent triangles conjecture connect consecutive consecutive angles constant construct contrast conversion fact convert coordinate coordinate grid coordinate plane corner corresponding angles corresponding sides count back count backwards count on counterexample counting numbers cube cubic centimeter (cm3) cubic unit cup (c) currency symbols customary measurement system customary units of measure cylinder data data frequency table day daylight decagon decimal fraction decimal number decimal point decimeter decompose a number decompose shapes decrease decreasing sequences degree degree measure of an angle denominator density design diameter 동심원결과, 결론구체적인묘사원추, 원뿔합동합동삼각형추측연결연속연속각상수, 불변수조립, 구성비교, 대조환산 fact 전환하다, 변환하다좌표좌표격자망좌표평면코너, 모퉁이동위각대응면거꾸로세기거꾸로세기숫자세기반례숫자세기입방체, 육면체. 세제곱세제곱센티미터 (cm3) 세제곱단위컵통화단위표시통상적인계량법통상적인계량단위원통, 원기둥데이터, 자료데이터빈도표날짜, 일낮, 주간, 새벽 10 각형소수분수 10 진수소수점데시미터, 10 분의 1 미터숫자분석도형분석감소하다감소열각도, 차수각의각도측정분모밀도디자인지름, 직경

6 difference 다름, 차이 differences 다름, 차이 digit 숫자, 10 진법의단위 digital clock 디지털시계 digits 숫자, 10 진법의단위들 dime 다임, 10 센트동전 dimension 치수, 크기, 차원 discuss 논의, 논쟁 distributive property 분배의법칙 divide 나누다 dividend 나뉠수 divisibility test 나누기측정 divisible 나누어지는, 분해가능한 divisible by 나누어떨어지는 division 나눗셈 divisor 제수, 인수, 약수, 나누는수 dodecahedron 12 면체 dollar ($) 달러 ($) doubles minus one 두배빼기일 doubles plus one 두배더하기일 doubling 두배하기 draw a graph 그래프그리기 draw a picture 그림그리기 drawings 드로잉, 그리기, 선긋기 edge 가장자리, 모서리 eight 8 elapsed time 경과시간 ellipse 타원 endpoint 끝점, 종점 eqivalent equations 동치방정식 equal (=) 같은 (=) equal to (=) 과같은 (=) equation 방정식 equidistant marks 등거리표 equilateral polygon 등변다각형 equilateral triangle 정삼각형, 등변삼각형 equivalent 일치하는 equivalent decimals 동등한소수 equivalent fractions 동등한분수값 equivalent numerical expressions 동등한수식 equivalent ratios 동등한비율 estimate 추정하다 estimation 추정 estimation strategies 추정전략 evaluate 수치를구하다, 평가하다 even number 짝수 evening 오후 event 이벤트, 사건 examine 관찰하다 example 예 expanded form 늘어난형태 experimental results 실험결과 explain 설명하다

7 explain mathematical relationships 숫자관계설명 explore 탐구하다 explore mathematical relationships 숫자관계조사 exponential notations 지수기호 extend a pattern 패턴연장 extend models 연장수식 extended fact 연장된사실 face 면, 표면 fact 현상, 진상, 사실 fact family (related facts) 숫자가족관련사실 factor (noun) 인수 factor (verb) 인수분해하다 factorial 계승의 fair share 당연한몫 fewer 적은, 소수의 fewer than 보다적은 fifths 5 분의 first 첫번째 five 5 flip (reflection) 뒤집다 ( 반사 ) foot (ft) 피트 (ft) formula 공식 formulate conclusions from graphs 그래프로부터알수있는공식 formulate predictions from graphs 그래프로부터예상할수있는공식 four 4 four-digit number 네자리수 fourths 네번째 fourths 4 분의 fraction 분수 frequency table 빈도표 front-end estimation front-end estimation gallon (gal) 갤론 (gal) generate solutions 문제해결 geometric figure 기하도형 geometric pattern 기하학적패턴 geometric solid 기하학적인형태 geometry 기하 ( 학 ) gram (g) 그램 (g) graphical representations 그래프로설명 graphs 그래프 greater 더많은 greater than (>) 보다더많은 greatest 가장많은 greatest common divisor (GCD) 최대공제수 greatest common factor (GCF) 최대공약수 grid 격자, 모눈 group how many 얼마나많은지분류 guess 추측하다, 짐작하다 half hour 30 분 halves 반으로나뉜것 halves 2 분의 halving 반으로나누기 heavier 더무거운

8 height height of a 3-dimensional figure height of a parallelogram height of a rectangle height of a triangle heptagon hexagon higher horizontal hour hour hand hundred chart hundred thousands hundred millions hundreds hundreds hundreds place hundredths hundreths hypotenuse icosahedron identify identify the problem identity element for addition identity element for multiplication impossible outcomes improper fraction inch (in) increase increasing sequences inequality input values inscribed polygon inside integer interior angles interpret interpret models intersect intersecting lines invalid approach inverse operations inverse property investigate irrational numbers irrational numbers irregular polygon irregular shape irrelevant information isosceles triangle justify key sequence key to a graph 높이, 키입체도형의높이평행사변형의높이사각형의높이삼각형의높이 7 각형 6 각형더높은, 더큰수평의시간시침숫자도표억단위천억백단위수백백자리소수점둘째자리 100 분의빗변 20 면체확인하다, 검증하다문제를검증하다덧셈을위한단위원소곱셈을위한단위원소불가능한결과가분수인치 (in) 증가하다증가하는수열부등식입력값내접다각형안쪽정수내각통역하다, 해석하다모델해석교차하다교차하는선실효성이없는접근법역연산역성질조사하다무리수무리수불규칙다각형불규칙도형관련없는정보이등변삼각형정당화하다, 옳다고하다주요수열그래프기호

9 kilogram (kg) 킬로그램 (kg) kilometer (Km) 킬로미터 (Km) kite 연, 솔개 label work 표기작업 language of logic(and, or, not) 논리용어 ( 및, 또는, 아니다 ) large/larger/largest 큰 / 더큰 / 가장큰 last 마지막, 최후 least common denominator (LCD) 최소공분모 least common multiple (LCM) 최소공배수 leg of a right triangle 직삼각형의변 length 길이 less 더적은 less than (<) 보다더적은 lighter 더가벼운 like (common) denominators 유사 ( 공통 ) 분모 likely ~ 같은 line 줄, 선 line graph 선그래프 line of symmetry 대칭축 line plot 선도표 line segment 선분 line symmetry 선대칭 listen 듣다 liter (L) 리터 (L) logical reasoning 논리적추론 long/longer/longest 긴 / 더긴 / 가장긴 longer 더긴 longer than 보다더긴 look for a pattern 패턴을관찰하다 lower 더낮은 lowest terms (simplest form) 가장간단한표현 ( 간단화 ) make a chart 차트만들기 make a diagram 도형, 도표만들기 make an organized chart 정리된도표만들기 make an organized list 조직적인목록만들기 make conjectures 추측하기 make observations 관찰하기 map legend 지도의범례 map scale 축척 mass 질량 match 일치하는, 한쌍의한쪽 mathematical statements 수학적정의 mathematics 수학, 계산 mean 평균 measure 계량하다, 측정하다 measurement 도량형치수 median 중간 ( 수 ) mental math 암산 meter (m) 미터 (m) metric system of measurement 계량미터법 metric units of measure 미터계량단위 mile 마일 milliliter (ml) 밀리리터 (ml)

10 milliliter (ml) 밀리리터 (ml) millimeter (mm) 밀리미터 (mm) millions 백만 minuend 피감수 minus 빼기 minus sign 뺄셈기호 minute 분 minute hand 분침 mixed number 혼합수 mode 최빈값 money 돈 months of the year 1 년의 12 달 more 더많이 more than (>) 보다더많은 more/most 더많이 / 가장많이 morning 오전, 아침 multiple 다양한, 배수 multiple representations 다양한표현, 그림 multiplicand 피승수 multiplication 곱셈, 승법 multiplicative inverses 곱셈의역원 multiplier 곱하는수, 승수 multiply 곱하기, 곱하다 negative number 음수 negative rational numbers 음의유리수 next 다음 nickel 5 센트동전 night 밤 nine 9 nonagon 구 (9) 각형 nonstandard measure 규격외계량 nonstandard representations 규격외표현, 그림 nonstandard units 규격외단위 noon 정오, 12 시 not equal to (¹) (¹) 와같지않다 not equal to = = 와같지않다 number 숫자, 수 number in words 단어로표기된수 number line 수직선 number model 수식 number sentence 숫자문장 number system 수체계 numeral 숫자 ( 의 ) numeration 계산하기, 셈 numerator 분자 numeric expression 수식표현 numeric patterns 계산패턴 numerical problems 계산 ( 숫자 ) 문제 numerically 숫자상으로 objects 주제, 물건, 대상 objects created using technology 기술을이용하여만들어진물건 obtuse angle 둔각 obtuse triangle 둔각삼각형

11 octagon 팔각형 octagon parallel lines 팔각평형선 odd number 홀수 one 1 one-digit number 한자리수 ones 일단위수 ones place 일단위 open figure 열린도형, 모양 open sentence 변수가들어있는식 operation 연산 operational method/operation 연속적인방법 / 연산 oral representations 구두발표 order 명령, 등급, 순서, 계, 차 order of operations 연산순서 ordered number pair 순서쌍 ordinal numbers 순서수 organize 조직, 정리하다 organize work 조직, 정리일, 업무 organized chart 정리된도표 organized list 정리된목록 origin 출처, 근본 ounce (oz) 온스 (oz) over 위, 넘어서, 걸쳐서 pan balance 천칭저울 parabola 포물선 parallel lines 평행선 parallelogram 평행사변형 part 부분, 일부 part-to-part ratio 부분대부분비율 part-to-whole ratio 부분대전체비율 pattern 패턴, 양식 penny 페니, 1 센트짜리동전 pentagon 오각형 percent 퍼센트, 백분단위 perimeter 주변, 주변길이 perpendicular lines 수직선 personal references 개인적인참조사한 per-unit rate 단위당비율 physical models 물리적모델 pi 파이 pictograph 그림도표, 그래프 pictorial representations 사진으로표현 pint (pt) 파인트 (pt) place value 자릿수, 값어치 plane 평면 plane figure 평면도형 plot 점으로표시하다 plus 더하기 point 점 poll 집계, 투표 polygon 다각형, 다변체 polyhedron 다면체 positive number 양수

12 positive power of 10 positive rational numbers possible outcomes post meridian (p.m.) pound (lb) power power of 10 predict prediction prime factorization prime number prism probability problem solving strategies process of elimination product proper fraction property protractor pyramid Pythagorean Theorem quadrangle quadrant quadrilateral quart (qt) quarter questions quotient radious ramdom number ramdomly range rate ratio rational number rationale ray real number real world math real world situation reasonable estimates reasonableness reasonableness of a solution recognize rectangle reference frame regroup (regrouping) regular polygon regular polyhedron related facts relation symbol relevant information remainder 10 의양승양의유리수가능한결과오후 (p.m.) 파운드 (lb) 승 10 승예상하다예상소인수분해소수각주, 각기둥확률문제해결전략제거절차곱진분수법칙각도기피라미드, 사각뿔파타고라스의정의사각형사분원, 사분면사변형쿼트 (qt) 4 분의 1, 25 센트짜리동전질문, 문의사항몫반지름무작위숫자무작위로범위, 치역율, 비율율, 비율유리수이론적설명사선, 반직선실수현실세계산수 / 수학현실세계상황합리적인추정값합리적임합리적인해법인식, 인지하다직사각형참조구성재편성, 다시모으기규칙다각형규칙다면체관련된사실관계기호관련있는정보나머지

13 repeated addition 반복적인더하기 repeated subtraction 반복적인빼기 repeating decimal 순환소수 rhombus 마름모꼴 right angle 직각 rotation 회전 round a number 반올림수 rounding 반올림 rule 규칙 ruler 자 same 같은, 동일한 sample space 표본공간 scale drawing 축적도 scale on a graph 그래프간견 scale to measure mass 질량을측정하는축적 scalene triangle 부등변삼각형 scientific notation 과학적인법칙 seasons in relation to the months 월별관계있는계절 second 두번째 sector 부채꼴 semicircle 반원 ( 형 ) set of data 데이터집합 set of objects 물건의집합 seven 7 shape 모양, 도형 share 몫, 배당 shorter 더짧은 shorter than 보다더짧은 show 보여주다 side 변, 옆 similar figures 유사도형 similar triangles 유사삼각형 similar triangles square 유사삼각형사각형 similarities 유사점 simplest form 최약분화된분수 simplify an expression 식을간단히하다 simplify fractions 분수를약분하다 single event 일회성이벤트 single-event experiment 일회성이벤트실험 six 6 sixths 여섯번째 size 사이즈, 크기 skip count 건너뛰어세기 slide (translation) 활주 ( 번역 ) small/smaller/smallest 작은 / 더작은 / 가장작은 solid figure 입체형 solution 답, 해답 solution(s) 답 ( 들 ), 해답 ( 들 ) solve 해결하다, 풀다 solve a simpler problem 더간단한문제를풀다, 해결하다 some 어떤, 몇몇 sort 구분, 분류 special case 특별한경우, 케이스

14 special case(s) 특별한경우 ( 들 ), 케이스 ( 들 ) speed 속도 sphere 구 spring 봄 square 사각형, 제곱 square array 사각형정렬, 배열 square number 제곱수 square of a number 수의제곱 square root of a number 수의제곱근 square unit 제곱단위 standard measure 표준계량, 측정 standard notation 표준표기 standard representation 표준표현, 그림 standard representations 표준표현들, 그림들 standard units 표준단위 stem-and-leaf plot 줄기및잎표시하기 step graph 층계그래프 straight angle 평각 strategies 전략 substitute 대입하다, 대신하다 substitution 대입, 대체 subtract 빼다 subtraction 뺄셈 subtraction fact 뺄셈관련사실 subtraction sentence 뺄셈수식 subtraction sign 빼기부호 subtrahend 빼는수 sum 합, 더한값, 더한수 summer 여름 supplementary angles 보각 survey 설문조사 symbols 부호, 상징, 기호 symbols in verbal form 구두로설명된기호 symbols in written form 글로설명된기호 table 탁자 take away 빼다, 치우다 tall/taller/tallest 큰 / 더큰 / 가장큰 tallies 계산하다 tally mark 계수표시 ten 10, 십 ten thousands 만단위 tens 십단위수 tens place 십자리 tenth 10 번째, 열번째, 10 분의 term 항, 용어 terminating decimal 유한소수 tessellation 모자이크, 바둑무늬 theorem 정의, 정리 third 3 번째, 세번째 thirds 3 분의 1, 세번째 thought process 사고과정 thousands 천단위 thousandths 소수점이하세자리수, 1000 분의

15 three 3 three-digit number 세자리수 three-dimensional figure 입체도형 tiling 타일놓기 time 시간 to challenge thinking 도전적인사고하기 to clarify thinking 생각을명확히하기 to elicit thinking 사고를분명히하기 to extend thinking 사고를넓히기 together 함께, 같이 ton 톤 translate 번역 trapezoid 사다리꼴 trial and error 시행오차 triangle 삼각형 true/false 올은 / 틀린 turn (rotation) 돌다 two 2 two-digit number 두자리수 two-dimensional figure 평면도형 types of representations 표현의종류 under 밑, 아래 understand 이해하다 unit 단위 unit fraction 단위분수 unit fractions 단위분수 unlike denominators 분모가같지않은 unlikely ~ 할것같지않은 use manipulatives 도구사용 valid approach 적절한접근 ( 법 ) value 소중한, 값 variable 변수 Venn diagram 밴다이어그램 verbal expression 구두표현 verbal form of reasoning 추론의구두형식 verbal language 구두언어 verbal process 구두절차 verbal symbols 구두부호, 심볼 verify claims of others 다른이의주장을검증하다 verify results 결과를검증하다 vertex 정점 vertical 수직적 vertical angles 맞꼭지각 vertices 꼭지점들 volume 부피, 체적 week 주 whole 전체, 완전수, 정수 whole number 정수 whole numbers 정수들 whole unit 전체단위 width 넓이 winter 겨울 work backwards 거꾸로풀기

16 write an equation 방정식적기 written form of reasoning 추론의서면형식 written language 서면언어 written representations 서면표현 written symbols 서면부호 yard (yd) 야드 (yd) year 년도 zero 영, 0 zero as the identy element in addition 덧셈에서항등원으로서의영 (0) zero property of addition 0 의교환법칙 zero property of multiplication 0 의교환법칙

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<BCF6C7D0BFEBBEEE2E687770> 영어로수학용어정리 A absolute value 절대값 about 약, 대략, acute angle 예각 acute triangle 예각삼각형 add 더하다 addition 덧셈 addend 가수 ( 더해진수) adjacent angle 인접각 algebra 대수 alternate angle 엇각 altitude 높이 (= height) analytical