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

Size: px

Start display at page:

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

炀萨克达
6 years ago
Views:

1 High School Level Glossary Algebra & Trigonometry Glossary / Traditional Translation of Algebra & Trigonometry terms based on the Coursework for Algebra & Trigonometry 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 alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically observe parameter strategy verbally Reasoning and Proof argument axiom conclusion conjecture counterexample discover exact answer explain explore 解題用代數方法在代數上替代方法合作協作推測約束限制評論批評等值的求... 值估計解釋使公式化規劃構想出概括化普遍化圖像的解釋闡明多重表述數值的觀察參數策略言辭的文字上的推論與證明論證公理結論推測反例反證發現精確答案解釋探索 T-7686 () 1

4 general case inductive reasoning informal indirect proof investigate justify refute specific result theorem 一般情況歸納推理非正式間接證明調查證明駁斥辯駁具體結果定理 Communication accuracy appropriate challenge chart coherent comprehension conjecture decoding diagram equation formula function graph interpretation logical argument mathematical representation numerical tables organize outline rationale reflect standard notation 通信聯絡傳送準確性適當的挑戰表圖表一致的協調的理解推測譯碼解碼圖圖表方程式公式方程式函數圖作圖解釋闡明邏輯論證數學表述數值表組織大綱輪廓邏輯依據原理的闡述反映反射出標準符號 T-7686 () 2

5 strategy symbol technical writing terminology validity verbal explanation written explanation 策略符號技術寫作術語專門名詞有效有效性口頭解釋書面解釋 Connections concept conclusion formulate multiple representation physical model procedure quantitative model representation Representation algebraic representation apply chart communicate compare concept diagram equation explore graph graphical representation investigate mathematical phenomena 連接概念結論使公式化規劃構想出多重表述實體模型過程程序量模型表述表述代數表述應用運用把... 施 ( 用 ) 於表圖表傳達傳遞通訊交流比較概念圖圖表方程式探索圖作圖圖形表述調查數學現象 T-7686 () 3

6 multiple representations organize physical object physical phenomena recognize record social phenomena symbol table technology translate 多重表述組織安排實體物體物理現象辨識認出檔案記錄社會現象符號表表格技術轉化 Number Sense and Operations a+bi form absolute value complex fraction complex number conjugate direct variation e fractional exponent i imaginary number index of a radical inverse variation irrational number negative exponent nth root operation pi powers of i principal square root 數字概念與運算 a+bi 式絕對值繁分數複數共軛的直接變量 e 分數指數 i 虛數根式的開方次數逆變量反變量無理數負指數 n 次方根運算圓周率 i 的幂 / 乘方主平方根 T-7686 () 4

7 procedure radical radical form radicand rational number rationalize a denominator real number scientific notation sigma sigma notation Algebra 過程程序方根根式被開方數有理數分母有理化實數科學記數法西格馬連加號代數 abscissa absolute value absolute value equation absolute value function absolute value inequality adjacent angles adjacent sides algebraic expression algebraic representation ambiguous case amplitude analyze angle angle in standard position angle of depression angle of elevation antilogarithm approximate value arc length arccosine 橫坐標絕對值絕對值方程式絕對式函數絕對值不等式鄰角鄰邊代數表達式代數表述歧例幅度幅角振幅分析解析角標準位置角俯角仰角反對數逆對數近似值弧長反餘弦 T-7686 () 5

8 arcsine arctangent area of a parallelogram using SAS area of a triangle using SAS arithmetic sequence arithmetic series asymptote base base of a logarithmic function base of an exponential function binomial expansion binomial theorem center-radius equation of a circle central angle circle circular functions coefficient cofunctions common base(s) common difference common factor common logarithm common ratio completing the square complex fractional expressions composition of functions compound interest constant function cosecant cosine cotangent coterminal angles 反正弦反正切用邊角邊求平行四邊形的面積用邊角邊求三角形的面積算術序列數列算術級數漸進線底底數基數對數函數的底指數函數的底二項式展開二項式定理圓的中心半徑公式圓心角圓三角函數係數餘函數公共底同底共同區別公因子公因數常用對數公共比率配方法繁分數表達式函數的復合復利息常數函數餘割餘弦餘切共終邊的角同界角 T-7686 () 6

9 degree of a polynomial difference of two perfect squares direct variation discriminant domain 多項式的次方兩個完全平方差直接變量判別式域定義域 double and half angle formulas for 三角函數的二倍角和半角公式 trigonometric functions double root 二重根 e e equation 方程式 equivalent forms 等值形式 exact value 精確值 expand a binomial 擴展一個二項式 explicit definition 外顯定義 exponential form 指數形式 exponential function 指數函數 extraneous root 增根 factor 因子因式因式分解 fractional exponent 分數指數 frequency (of a periodic function) 周期函數的頻率 function 函數 function notation 函數符號 geometric sequence 幾何序列 / 幾何數列 geometric series 幾何級數 graphical solution of equations 方程式的圖解 greatest common factor (GCF) 最大公因式 ( 數 ) growth factor 增長係數增長因子 half-life 半衰期 horizontal-line test 水平線測試 i i identities 恒等式恒等 T-7686 () 7

10 initial side of an angle inverse function inverse trigonometric functions inverse variation Law of Cosines Law of Sines laws of exponents laws of logarithms linear equation linear expression linear system logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nth term one cycle of a trigonometric function one-to-one function onto opposite side in a right triangle ordinate parabola parameter period (of a function) periodic function phase shift polynomial expression polynomial function powers of i Pythagorean identities 角的始邊反函數反三角函數反反變量逆變量餘弦定理正弦定理指數定理對數定理一次方程線性方程一次表達式線性系統對數對數形式最簡式根的性質負指數 n 次方根第 n 項三角函數的一個周期一對一函數在... 上到... 上直角三角形裏的對邊縱坐標抛物線參數 ( 函數 ) 的周期周期函數周相移動多項式表達式多項式函數 i 的幂 / 乘方畢氏定理 T-7686 () 8

11 quadrantal angle 象限角 quadratic equation 二次方程 quadratic formula 二次公式二次求根公式 quadratic inequality 二次不等式 quadratic trinomial 二次三項式 ( 的 ) radian 弧度 radical equation 根式方程 radical expression 根式表達式 radius 半徑 ( 單數 ) range (of a function) 函數的值域 rational coefficient 有理係數 rational equation 有理方程式 rational expression 有理表達式 rational inequality 有理不等式 rationalize denominators 分母有理化 reciprocal trigonometric functions 倒數三角函數 recursive definition 回歸意義遞歸意義 reference angle 參考角參準角 relation 關係 replacement set 變量取值集 represent 代表 restricted domain 限制定義域縮小定義域 resultant 合量結式 right triangle trigonometry 直角三角形的三角法 root of an equation 方程式的根 secant (of an angle) ( 角 ) 的正割 / 割線 sigma notation 連加號 sine 正弦 solution set 解集 standard position (of an angle) ( 角的 ) 標準位置 subset 子集 T-7686 () 9

12 sum and product of roots of a quadratic equation sum of a geometric series sum of an arithmetic series sum or difference formulas for trigonometric functions system of equations/inequalities tangent (of an angle) technology terminal side of an angle transformation transformations of functions and relations trigonometric equation trigonometric functions unit circle variable vector vertical line test zero of a function zero product property Geometry absolute value absolute value equation absolute value inequality angle in standard position angle of depression angle of elevation area of a parallelogram using SAS 二次方程式根的和與績幾何級數的和算術級數的和三角函數的和或差的公式方程式 / 不等式的系統 ( 角 ) 的切線技術角的終邊變換轉換變形函數和關係的轉換三角方程式三角函數單位圓變量矢量垂直線函數的零點零的積的性質幾何絕對值絕對值方程式絕對值不等式標準位置的角俯角仰角用邊角邊求平行四邊形的面積 T-7686 () 10

13 area of a triangle using SAS circle coefficient function generalize geometric representation of the circular function graph of a relation graphical representation graphical solution of equations investigate ordered pair parabola rational coefficient rectangular coordinates relation root of an equation sector of a circle slope triangle vertex visualization Measurement arc length degree measure measure of central angle minute radian measure Statistics and Probability at least at most 用邊角邊求三角形的面積圓係數函數概括化普遍化圓函數的幾何表述三角函數的幾何表述關係圖圖形表述方程式的圖解調查序對抛物線有理係數直角關係方程式的根 ( 圓内 ) 扇形斜率坡度三角形頂點可見性形象化測量弧長以度為單位測量測量圓心角分鐘弧度的測量統計量與概率至少至多 T-7686 () 11

14 Bernouli experiments biased sample bimodal binomial probability formula bivariate data central tendency combination compound event conjecture controlled experiment correlation coefficient Counting Principle exactly experimental probability extrapolate frequency (of a data set) frequency distribution grouped frequency distributions index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measures of dispersion median mode normal curve normal distribution observation outlier 伯努利實驗有偏差的樣本雙峰分佈雙模態的二項式概率公式二元數據二變量數據集中趨勢組合複合事件推測被調控的試驗相互關聯的係數計數原理讀數原理精確的實驗概率外推 ( 數據集的 ) 頻率頻率分佈頻率分佈群統計指標内推法内插四分位數間距最小平方回歸線最佳擬合線線性回歸平均數集中趨勢測量離散測量中位數中線眾數常態曲線正態曲線常態分佈觀察外露層 T-7686 () 12

15 Pascal's Triangle percentile permutation probability quartiles 巴斯卡三角形百分位數排列概率四分點 ( 的 ) 四分值 ( 的 ) 四分位數 ( 的 ) random sample 隨機樣本 range (of a data set) ( 數據集的 ) 區域 / 範圍 regression equation 回歸方程式 regression model 回歸模式 sample space 樣本空間 scatter plot ( 在直角坐標線上 ) 定點 standard deviation (population) 標準差標準偏差 ( 全域 ) standard deviation (sample) 標準差標準偏差 ( 樣本 ) statistics 統計 survey 調查表 technology 技術 theoretical probability 定理概率 univariate data 單變量的一元的 variance (population) 方差 ( 全域 ) variance (sample) 方差 ( 樣本 ) T-7686 () 13

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 Algebra & Trigonometry Glossary / Chinese Simplified Translation of Algebra & Trigonometry terms based on the Coursework for Algebra & Trigonometry Grades 9 to 12. Word-for-word