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 /

based on the Coursework for Integrated Algebra Grades 9 to 12.

for ELL/LEP students THE STATE EDUCATION DEPARTMENT / THE

1 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 are used for testing accommodations for ELL/LEP students THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Last Updated: June 2016

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 validity 解题用代数方法在代数上概念推测约束限制等值的使公式化规划构想出概括化普遍化图像的多重表述数值的参数模式型式图相对效率策略言辞的文字上的推论与证明适当的近似论证要求声称主张结论推测反例反证解释归纳推理逻辑论证数学推测证明驳斥辩驳系统方法有效性 T-7686 () 1

4 Venn diagram verify 笵氏圆形对比图检验核验 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 concept connection 通信联络传送准确性分析解析论证一致的协调的传达传递通讯交流理解结论推测译码解碼引出推导出方程式求... 值估计延伸延展公式方程式函数图作图解释阐明直观数学逻辑依据原理的阐述标准 ( 数学 ) 符号策略表表格技术写作术语专门名词有效连接整体一致整体协调概念连接 T-7686 () 2

5 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 arrangements (permutations) associative property closure property 使公式化规划构想出实体模型过程程序量模型表述表述仰角排列列阵表图表比较图图表方程式函数图作图解释阐明数学现象组织安排物理现象利润档案记录社会现象符号表表格技术转化数字概念与运算绝对值代数问题算术运算排列结合性封闭性 T-7686 () 3

6 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 Algebra acute angle adjacent side/angle algebraic equation 互换性计算技巧小数分母折扣分配法指数表达式表达式阶乘域分数计算的基本原则群恒等性逆反性与根式项相似 / 不相似数字定理分子百分率增长 / 下降乘积实数的性质比例 / 直接变量商根式被开方数实数科学记数法最简式变量代数锐角邻边 / 邻角代数方程式 T-7686 () 4

7 algebraic expression 代数表达式 algebraic fraction 代数分数式 analyze 分析解析 axis of symmetry 对称轴 binomial 二项式 coefficient 系数 common base 共底同底 complement of a subset 子集之补集 coordinates 坐标 cosine 余弦 dependent 相关 difference of two perfect squares 两个完全平方的差别 element 元元素 equation 方程式 exponent 指数 exponential growth and decay 指数增长和减少 expression 表达式 factoring 因式分解 fractional expression 分数表达式 greatest common factor (GCF) 最大公因式 ( 数 ) hypotenuse 斜边 independent variable 自变量独立变量 inequality 不等式 integer 整数 integral coefficient 整数系数 integral exponent 整数指数 integral root(s) 整数根 intersection of sets 集合的相交 interval notation 间隔符号 lead coefficient 首项系数 legs of a right triangle 直角三角形的直角边 line parallel to the x- or y-axis 与 x- 轴或者 y- 轴平行的线 linear equation in one variable 一个变量的一次方程一个变量的线性方程 T-7686 () 5

8 linear inequality in one variable 一个变量的一次不等式一个变量的线性方程 literal equation 文字方程 lowest terms fraction 分数的最简式 monomial 单项式 multiplication property of zero 零的乘法性质 opposite side/angle 对边 / 对角 parabola 抛物线 parallel 平行 polynomial 多项式 product 乘积 properties of exponents 指数的性质 proportion 比例 Pythagorean Theorem 勾股定理勾股定理 quadratic equation 二次方程 quantitative 量的数量的 quotient 商 ratio 比比率 relation 关系 right angle 直角 right triangle 直角三角形 root(s) of an equation 方程式的根 roster form 人员名簿 set 集 set-builder notation 集标记符号 sine 正弦 slope 斜率坡度 solution set 解集 subset 子集 sum 和 system of linear inequalities 一次不等式系统 systems of linear equations 一次方程式系统 tangent 切线 translate (from verbal to symbolic) 转化 ( 从文字至符号 ) T-7686 () 6

9 trigonometry 三角学 trinomial 三项式 undefined 不定项 union of sets 集的合集 universal set 全集 variable 变量 verbal expression 文字表达式 verbal sentence 文字语句 vertex 顶点 ( 单数 ) x-axis x- 轴 y-axis y- 轴 Geometry 几何 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 hexagon investigate nonagon octagon ordered pair parabolic function parallelogram pentagon 绝对值函数角面积抛物线的对称轴圆系数圆柱体十边形指数函数函数概括化普遍化几何图形关系图六边形调查九边形八边形坐标点序对抛物线函数平行四边形五边形 T-7686 () 7

10 perimeter 周长 polygon 多边形 quadrilateral 四边形 quarter-circle 四分之一圆 rational coefficient 有理系数 rectangle 长方形 rectangular solid 长方形立体 regular polygon 正多边形 relation 关系 rhombus 菱形 roots of a parabolic function 抛物线函数的根 sector of a circle ( 圆内 ) 扇形 semi-circle 半圆 spatial reasoning 空间论证 square 正方形 surface area 表面面积 trapezoid 梯形 triangle 三角形 vertex 顶点 ( 单数 ) visualization 可见性形象化 volume 体积容积 Measurement appropriate unit conversion cubic unit error linear measure linear unit magnitude measurement system rate relative error square unit 适当单位转换立方单位错误线性测量线性单位量数量长度测量系统比速率相对误差平方单位测量 T-7686 () 8

11 unit 单位 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 finite sample space five statistical summary frequency distribution table histogram independent events independent variable interpolation line of best fit linear transformation maximum 统计量与概率正确性有偏差的二元的二变量的百分位数图计算概率分类因果关系引起导致集中趋势余角条件概率关联相互关系累计频率分布表累计频率柱形图数据相依事件相依变量元元素经验机率经验概率实验设计外推法归纳推论有利事件有限样本空间五个统计总结频率分布表柱形图独立事件独立变量自变量内插法内推法最佳拟合线线性变换一次变换最大值 T-7686 () 9

12 mean measure of central tendency median minimum mode mutually exclusive events not mutually exclusive events percentile rank probability qualitative quantitative 平均数集中趋势测量中位数中线最小值众数互斥事件非互斥事件百分位数等级概率质的质量的量的定量的 quartiles (specifically: first, second, third or lower, middle, upper) range sample space scatter plot series univariate 四分点 ( 的 ) 四分值 ( 的 ) 四分位数 ( 的 )( 特别是 : 第一第二及第三个四分位, 也称为低中及高四分位数 ) 区域范围量程排列样本空间 ( 在直角坐标系上 ) 定点级数单变量的一元的 T-7686 () 10

13 NYS Grades 9 12 Math Terms Addenda Common Core Math Standard ENGLISH F-IF.C.8 absolute-value function 绝对值函数 CHINESE S-REI.A.2 algebraic manipulation 代数运算 S-ID.B.5 categorical data 分类数据 N.C.N.4 complex plane 复平面 S-ID.B.5 conditional relative frequency 有条件的相对频率 N.C.N.5 conjugation of complex numbers 共轭复数 F-LE.A.1 constant percent rate 恒等百分率 S-ID.C.9 correlation and causation 相关性和因果关系 S-ID.C.8 correlation coefficient 相关系数 N-Q.A.3 data point 数据点 N-Q.A.2 descriptive modeling 描述性模型 A-SSE.A.1 difference of squares, example: (a 2 b 2 ) 平方的差 A-SSE.B.3 equivalent monthly interest rate 相等的月利率 F-Bf.B.3 even function 偶函数 A-CED.A.1 exponential equation 指数方程式 S-ID.B.6 fit of a function 函数的适应度 A-REI.D.12 half-plane 半平面 N-V.M.6 incidence relationship (payoff) 关联关系 S-ID.B.5 joint frequency 联合频率 S-ID.C.8 linear fit 最优线性拟合 S-ID.C8 linear phenomenon 线性现象 S-ID.C8 linearity 线性, 直线性 A-REI.D.11 logarithm function 对数函数 S-ID.B.5 marginal frequency 边际频数 A-CED.A.3 non-viable options (inequalities) 不可行选择 ( 不等式 ) N-RN.B.3 non-zero rational number 非零的有理数 F-BF.B.3 odd function 奇函数 F-IF.C.8 piece-wise defined function 分段性函数 F-BF.A.1 recursive process 递归过程 S-ID.B.6 residuals ( 统计 ) 残差 A-SSE.A.1 square of a difference, example: (a b) 2 差的平方 F-IF.C.8 step function 步阶 ( 阶跃 ) 函数 A-REI.A.1 viable argument 可行的论点 A-CED.A.3 viable options (inequalities) 可行的选择 ( 不等式 ) KEYS N-Q = Number & Quantity REI = Reasoning with Equations & Inequality SSE = Seeing Structures in Expressions VM = Vectors & Metrix quantities RN = Real Number System IF = Interpreting Functions BF = Building Functions ID = Interpreting categorical and quantitative Data ID = Interpreting categorical and quantitative Data APR = Arithmetic with Polynomials & Relational expressions CED = Creating Equations Describing numbers or relationships

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