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

1 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 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 general case inductive reasoning 解题用代数方法在代数上替代方法合作协作推测约束限制评论批评等值的求... 值估计解释使公式化规划构想出概括化普遍化图像的解释阐明多重表述数值的观察参数策略言辞的文字上的推论与证明论证公理结论推测反例反证发现精确答案解释探索一般情况归纳推理 T-7686 () 1

4 informal indirect proof investigate justify refute specific result theorem 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 strategy symbol technical writing 非正式间接证明调查证明驳斥辩驳具体结果定理通信联络传送准确性适当的挑战表图表一致的协调的理解推测译码解碼图图表方程式公式方程式函数图作图解释阐明逻辑论证数学表述数值表组织大纲轮廓逻辑依据原理的阐述反映反射出标准符号策略符号技术写作 T-7686 () 2

5 terminology validity verbal explanation written explanation 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 multiple representations organize physical object physical phenomena recognize 术语专门名词有效有效性口头解释书面解释连接概念结论使公式化规划构想出多重表述实体模型过程程序量模型表述表述代数表述应用运用把... 施 ( 用 ) 于表图表传达传递通讯交流比较概念图图表方程式探索图作图图形表述调查数学现象多重表述组织安排实体物体物理现象辨识认出 T-7686 () 3

6 record social phenomena symbol table technology translate Number Sense and Operations 档案记录社会现象符号表表格技术转化数字概念与运算 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 procedure radical radical form radicand rational number rationalize a denominator a+bi 式绝对值繁分数复数共轭的直接变量 e 分数指数 i 虚数根式的开方次数逆变量反变量无理数负指数 n 次方根运算圆周率 i 的幂 / 乘方主平方根过程程序方根根式被开方数有理数分母有理化 T-7686 () 4

7 real number scientific notation sigma sigma notation Algebra 实数科学记数法西格马连加号代数 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 arcsine arctangent area of a parallelogram using SAS area of a triangle using SAS arithmetic sequence arithmetic series asymptote 横坐标绝对值绝对值方程式绝对式函数绝对值不等式邻角邻边代数表达式代数表述歧例幅度幅角振幅分析解析角标准位置角俯角仰角反对数逆对数近似值弧长反余弦反正弦反正切用边角边求平行四边形的面积用边角边求三角形的面积算术序列数列算术级数渐进线 T-7686 () 5

8 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 degree of a polynomial difference of two perfect squares direct variation discriminant domain double and half angle formulas for 底底数基数对数函数的底指数函数的底二项式展开二项式定理圆的中心半径公式圆心角圆三角函数系数余函数公共底同底共同区别公因子公因子常用对数公共比率配方法繁分数表达式函数的复合复利息常数函数余割余弦余切共终边的角同界角多项式的次方两个完全平方差直接变量判别式域定义域三角函数的二倍角和半角公式 trigonometric functions T-7686 () 6

9 double root 二重根 e e equation 方程式 equivalent forms 等值形式 exact value 精确值 expand a binomial 扩展一个二项式 explicit definition 外显定义 exponential form 指数形式 exponential function 指数函数 extraneous root 增根 factor 因子因式因式分解 fractional exponent 分数指数 frequency (of a periodic function) 周期函数的频率 function 函数 function notation 函数符号 geometric sequence 几何序列 / 几何数列 geometric series 几何级数 graphical solution of equations 方程式的图解 greatest common factor (GCF) 最大公因式 ( 数 ) growth factor 增长系数增长因子 half-life 半衰期 horizontal-line test 水平线测试 i i identities 恒等式恒等 initial side of an angle 角的始边 inverse function 反函数 inverse trigonometric functions 反三角函数反 inverse variation 反变量逆变量 Law of Cosines 余弦定理 Law of Sines 正弦定理 laws of exponents 指数定理 laws of logarithms 对数定理 linear equation 一次方程线性方程 T-7686 () 7

10 linear expression 一次表达式 linear system 线性系统 logarithm 对数 logarithmic form 对数形式 lowest terms 最简式 nature of the roots 根的性质 negative exponent 负指数 nth root n 次方根 nth term 第 n 项 one cycle of a trigonometric function 三角函数的一个周期 one-to-one function 一对一函数 onto 在... 上到... 上 opposite side in a right triangle 直角三角形里的对边 ordinate 纵坐标 parabola 抛物线 parameter 参数 period (of a function) ( 函数 ) 的周期 periodic function 周期函数 phase shift 周相移动 polynomial expression 多项式表达式 polynomial function 多项式函数 powers of i i 的幂 / 乘方 Pythagorean identities 勾股定理 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 二次三项式 ( 的 ) radian 弧度 radical equation 根式方程 radical expression 根式表达式 radius 半径 ( 单数 ) range (of a function) 函数的值域 T-7686 () 8

11 rational coefficient rational equation rational expression rational inequality rationalize denominators reciprocal trigonometric functions recursive definition reference angle relation replacement set represent restricted domain resultant right triangle trigonometry root of an equation secant (of an angle) sigma notation sine solution set standard position (of an angle) subset 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 有理系数有理方程式有理表达式有理不等式分母有理化倒数三角函数回归意义递归意义参考角参准角关系变量取值集代表限制定义域缩小定义域合量结式直角三角形的三角法方程式的根 ( 角 ) 的正割 / 割线连加号正弦解集 ( 角的 ) 标准位置子集二次方程式根的和与绩几何级数的和算术级数的和三角函数的和或差的公式方程式 / 不等式的系统 ( 角 ) 的切线技术角的终边 T-7686 () 9

12 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 变换转换变形函数和关系的转换三角方程式三角函数单位圆变量矢量垂直线函数的零点零的积的性质几何 absolute value 绝对值 absolute value equation 绝对值方程式 absolute value inequality 绝对值不等式 angle in standard position 标准位置的角 angle of depression 俯角 angle of elevation 仰角 area of a parallelogram using SAS 用边角边求平行四边形的面积 area of a triangle using SAS 用边角边求三角形的面积 circle 圆 coefficient 系数 function 函数 generalize 概括化普遍化 geometric representation of the circular 圆函数的几何表述三角函数的几何表述 function graph of a relation 关系图 graphical representation 图形表述 graphical solution of equations 方程式的图解 investigate 调查 ordered pair 序对 parabola 抛物线 rational coefficient 有理系数 T-7686 () 10

13 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 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) 直角关系方程式的根 ( 圆内 ) 扇形斜率坡度三角形顶点可见性形象化测量弧长以度为单位测量测量圆心角分钟弧度的测量统计量与概率至少至多伯努利实验有偏差的样本双峰分布双模态的二项式概率公式二元数据二变量数据集中趋势组合复合事件推测被调控的试验相互关联的系数计数原理读数原理精确的实验概率外推 ( 数据集的 ) 频率 T-7686 () 11

14 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 Pascal's Triangle percentile permutation probability 频率分布频率分布群统计指标内推法内插四分位数间距最小平方回归线最佳拟合线线性回归平均数集中趋势测量离散测量中位数中线众数常态曲线正态曲线常态分布观察外露层帕斯卡尔三角形百分位数排列概率 quartiles 四分点 ( 的 ) 四分值 ( 的 ) 四分位数 ( 的 ) random sample 随机样本 range (of a data set) ( 数据集的 ) 区域 / 范围 regression equation 回归方程式 regression model 回归模式 sample space 样本空间 scatter plot ( 在直角坐标在线 ) 定点 standard deviation (population) 标准差标准偏差 ( 全域 ) standard deviation (sample) 标准差标准偏差 ( 样本 ) statistics 统计 survey 调查表 technology 技术 T-7686 () 12

15 theoretical probability 定理概率 univariate data 单变量的一元的 variance (population) 方差 ( 全域 ) variance (sample) 方差 ( 样本 ) T-7686 () 13

7686 HS math_Algebra 2 & Trigonometry_Chinese_Simplified_QC2.xls

7686 HS math_Algebra 2 & Trigonometry_Chinese_Simplified_QC2.xls Problem Solving algebraically alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically