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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High School Level Glossary Integrated Algebra Glossary /

the Coursework for Integrated Algebra Grades 9 to 12.

for ELL/LEP students Last Updated: 08/10/09 THE STATE

1 High School Level Glossary Integrated Algebra Glossary / Traditional 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

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 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 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 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 解題用代數方法在代數上概念推測約束限制等值的使公式化規劃構想出概括化普遍化圖像的多重表述數值的參數模式型式圖相對效率策略言辭的文字上的推論與證明適當的近似論證要求聲稱主張結論推測反例反證解釋歸納推理邏輯論證數學推測證明駁斥辯駁系統方法 T-7686 () 1

4 validity Venn diagram verify 有效性笵氏圓形對比圖檢驗核驗 Communication accuracy analyze argument coherent communicate comprehension conclusion conjecture decoding elicit equation evaluate extend formula function graph interpretation mathematical visual rationale standard (mathematical) notation strategy table technical writing terminology valid Connections coherent whole 通信聯絡傳送準確性分析解析論證一致的協調的傳達傳遞通訊交流理解結論推測譯碼解碼引出推導出方程式求... 值估計延伸延展公式方程式函數圖作圖解釋闡明直觀數學邏輯依據原理的闡述標準 ( 數學 ) 符號策略表表格技術寫作術語專門名詞有效連接整體一致整體協調 T-7686 () 2

5 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 arithmetic operation 概念連接使公式化規劃構想出實體模型過程程序量模型表述表述仰角排列列陣表圖表比較圖圖表方程式函數圖作圖解釋闡明數學現象組織安排物理現象利潤檔案記錄社會現象符號表表格技術轉化數字概念與運算絕對值代數問題算術運算 T-7686 () 3

6 arrangements (permutations) associative property closure property commutative property counting techniques decimal denominator discount distributive property exponential expression expression factorial field fraction Fundamental Principle of Counting group identity property inverse property like/unlike radical terms number theory numerator percent of increase/decrease product properties of the Real numbers proportionality/direct variation quotient radical radicand real numbers scientific notation simplest form variable 排列結合性封閉性互換性計算技巧小數分母折扣分配法指數表達式表達式階乘域分數計算的基本原則群恒等性逆反性與根式項相似 / 不相似數字定理分子百分率增長 / 下降乘積實數的性質比例 / 直接變量商根式被開方數實數科學記數法最簡式變量 T-7686 () 4

7 Algebra 代數 acute angle 銳角 adjacent side/angle 鄰邊 / 鄰角 algebraic equation 代數方程式 algebraic expression 代數表達式 algebraic fraction 代數分數式 analyze 分析解析 axis of symmetry 對稱軸 binomial 二項式 coefficient 係數 common base 共底同底 complement of a subset 子集之補集 coordinates 坐標 cosine 餘弦 dependent 相關 difference of two perfect squares 兩個完全平方的差別 element 元元素 equation 方程式 exponent 指數 exponential growth and decay 指數增長和減少 expression 表達式 factoring 因式分解 fractional expression 分數表達式 greatest common factor (GCF) 最大公因式 ( 數 ) hypotenuse 斜邊 independent variable 自變量獨立變量 inequality 不等式 integer 整數 integral coefficient 整數係數 integral exponent 整數指數 integral root(s) 整數根 intersection of sets 集合的相交 T-7686 () 5

8 interval notation lead coefficient legs of a right triangle line parallel to the x- or y-axis linear equation in one variable linear inequality in one variable literal equation lowest terms fraction monomial multiplication property of zero opposite side/angle parabola parallel polynomial product properties of exponents proportion Pythagorean Theorem quadratic equation quantitative quotient ratio relation right angle right triangle root(s) of an equation roster form set set-builder notation sine slope 間隔符號首項係數直角三角形的直角邊與 x- 軸或者 y- 軸平行的線一個變量的一次方程一個變量的線性方程一個變量的一次不等式一個變量的線性方程文字方程分數的最簡式單項式零的乘法性質對邊 / 對角抛物線平行多項式乘積指數的性質比例勾股定理畢氏定理二次方程量的數量的商比比率關係直角直角三角形方程式的根人員名簿集集標記符號正弦斜率坡度 T-7686 () 6

9 solution set 解集 subset 子集 sum 和 system of linear inequalities 一次不等式系統 systems of linear equations 一次方程式系統 tangent 切線 translate (from verbal to symbolic) 轉化 ( 從文字至符號 ) trigonometry 三角學 trinomial 三項式 undefined 不定項 union of sets 集的合集 universal set 全集 variable 變量 verbal expression 文字表達式 verbal sentence 文字語句 vertex 頂點 ( 單數 ) x-axis x- 軸 y-axis y- 軸 Geometry 幾何 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 絕對值函數角面積抛物綫的對稱軸圓係數圓柱體十邊形指數函數函數概括化普遍化幾何圖形關係圖 T-7686 () 7

10 hexagon 六邊形 investigate 調查 nonagon 九邊形 octagon 八邊形 ordered pair 坐標點序對 parabolic function 抛物線函數 parallelogram 平行四邊形 pentagon 五邊形 perimeter 周長 polygon 多邊形 quadrilateral 四邊形 quarter-circle 四分之一圓 rational coefficient 有理係數 rectangle 長方形 rectangular solid 長方形立體 regular polygon 正多邊形 relation 關係 rhombus 菱形 roots of a parabolic function 抛物線函數的根 sector of a circle ( 圓内 ) 扇形 semi-circle 半圓 spatial reasoning 空間論證 square 正方形 surface area 表面面積 trapezoid 梯形 triangle 三角形 vertex 頂點 ( 單數 ) visualization 可見性形象化 volume 體積容積 Measurement 測量 appropriate unit conversion 適當單位轉換 T-7686 () 8

11 cubic unit error linear measure linear unit magnitude measurement system rate relative error square unit unit 立方單位錯誤線性測量線性單位量數量長度測量系統比速率相對誤差平方單位單位 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 element empirical probability experimental design extrapolation favorable event 統計量與概率正確性有偏差的二元的二變量的百分位數圖計算概率分類因果關係引起導致集中趨勢餘角條件概率關聯相互關係纍計頻率分佈表纍計頻率直條圖數據相依事件相依變量元元素經驗機率經驗概率實驗設計外推法歸納推論有利事件 T-7686 () 9

12 finite sample 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 有限樣本空間五個統計總結頻率分佈表直條圖獨立事件獨立變量自變量内插法内推法最佳擬合線線性變換一次變換最大值平均數集中趨勢測量中位數中線最小值眾數互斥事件非互斥事件百分位數等級概率質的質量的量的定量的 quartiles (specifically: first, second, third or lower, middle, upper) 四分點 ( 的 ) 四分值 ( 的 ) 四分位數 ( 的 )( 特別是 : 第一第二及第三個四分位, 也稱爲低中及高四分位數 ) range sample space scatter plot series univariate 區域範圍量程排列樣本空間 ( 在直角坐標系上 ) 定點級數單變量的一元的 T-7686 () 10

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

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Education - P-16 Office of Elementary, Middle, Secondary, High School Level Glossary Integrated Algebra Glossary / Chinese Simplified Translation of Integrated Algebra terms based on the Coursework for Integrated Algebra Grades 9 to 12. Word-for-word glossaries