Word list for Mathematics


More About Percentages (續百分數)

 

percentage increase

(百分增加)

percentage decrease

(百分減少)

percentage change

(百分增減)

maximum absolute error

(最大絕對誤差)

relative error

(相對誤差)

percentage error

(百分誤差)

allowance

(免稅額)

profit

(盈利)

loss

(虧損)

property tax

(購物稅)

depreciate

(眨值)

profit tax

(利得稅)

 

Laws of Indices (指數定律)

 

base

(底)

index

(指數)

power

(冪)

scientific notation

(科學記數法)

 

Common Logarithms (常用對數)

 

common logarithm

(常用對數)

anti-logarithm

(逆對數)

 

More About Congruence and Similarity (績全等和相似)

congruent triangles

(全等三角形)

similar triangles

(全等三角形)

isosceles triangles

(等腰三角形)

corresponding sides

(對應邊)

corresponding angles

(對應角)

vertex

(頂點)

vertical angle

(頂角)

base

(底)

base angle

(底角)

 

Parallelogram (平行四邊形)

quadrilateral

(四邊形)

rhombus

(菱形)

square

(正方形)

diagonal

(對角線)

rectangle

(長方形)

opposite angle

(對角)

 

Mensuration (求積法)

prism

(柱體)

pyramid

(錐體)

frustum

(平截頭體)

circular cone

(圓錐體)

slant edge

(斜邊)

hemisphere

(半球體)

curved surface area

(曲面面積)

sphere

(球體)

 

Coordinate Geometry of Straight Lines (坐標幾何:直線)

origin

(原點)

two-point form

(兩點式)

point-slope form

(點斜式)

slope-intercept form

(斜截式)

intercept form

(截距式)

general form

(通式)

parallel

(平行)

perpendicular

(垂直)

x-intercept

(x軸截距)

y-intercept

(y軸截距)

point of intersection

(交點)

 

Quadratic Equations (二次方程)

quadratic polynomial

(二元多項式)

factorization

(因子分解法)

root

(根)

 

Some Important Geometrical Theorems (一些重要的幾何定理)

mid-point theorem

(中點定理)

angel bisector

(角平分線)

intercept theorem

(截線定理)

perpendicular bisector

(垂直平分線)

theorem of equal ratios

(等比定理)

 

Practical Problems in Trigonometry (三角學的應用題)

gradient

(斜率)

scale

(比例)

compass bearing

(羅盤方位角)

true bearing

(真方位角)

angle of elevation

(仰角)

angle of depression

(俯角)

 

Inequalities (不等式)

compound inequality

(複合不等式)

graphical solution

(圖解)

integer

(整數)

range

(範圍)

maximum value

(最大值)

minimum value

(最少值)

 

Simple Idea of Probability (簡易概率的概念)

probability

(概率)

outcome

(結果)

expected probability

(期望概率)

random

(隨意)

experimental probability

(實驗概率)

trial

(試驗)

event

(事件)

vowel

(元音字母)

consonant

(輔音字母)

 

Measures of Central Tendency (集中趨勢的量度)

statistics

(統計學)

mean

(平均數)

median

(中位數)

mode

(眾數)

frequency

(頻數)

modal class

(眾數組)

class interval

(組界)

histogram

(直方圖)

cumulative frequency

(累積頻數)

 

Uses and Abuses of Statistics (統計的應用及誤用)

false impression

(錯覺)

advertisement

(廣告)

deliberately

(故意地)

trick

(詭計)

 

 

 

 

 

 

 

 

 

Number & Quantity

The Real Number System: series, rational expression, equation, rational number, integer, notation, real number, exponent, nonzero, polynomial, matrix, rational, value, real number, factorial, solutions, properties, complex number, radical, vector

Quantities: volume, length, average, formula, origin, data, limitation, conversion, unit, modeling, accuracy, solutions, conjugate, graph, rates, measure, quantities, area, acceleration, scale, quantity, reasoning, quantitative data, volume by slicing, dimensional, calculus, magnitude, qualitative data, dimensional analysis, unit conversion

The Complex Number System: equation, complex number, binomial, distributive, real number, multiply, polynomial, add, whole number, conjugate, property, solutions, value, quotient, subtract, number, real number, divide, associative, complex number, quadratic formula, integrals, first derivative test, complex numbers, differentials, conjugate, real number, second derivative, absolute value, irrational numbers

Vector & Matrix Quantities: direction, determinant, transformation, matrix, absolute value, scalar multiple, integrals, magnitude, scalar, vector

Algebra

Seeing Structure in Expressions: factor, square, quadratic, expression, coefficient, product, rewrite, minimum value, quantity, maximum value, manipulation, equivalent, permutation, geometric sequence, common ratio, sequences, Fibonacci, series, derive, factorial

Arithmetic with Polynomials & Rational Expressions: integer, expansion, graph, rational expression, rational number, binomial theorem, polynomial, factor, order of operations, coefficient, arithmetic, binomial, trinomial, monomial, solutions, absolute value, algebraic, combination, synthetic division, algebra

Creating Equations: graph, inequality, function, variable, rational function, linear function, coordinate axes, equation, quadratic function, solution, disjunction, domain, range, finite, conjunction, parabola, algebra, parent function, complex number, infinite, sequences, qualitative data, piecewise function, quantitative data, rational, rational expression, regression equation, frequency, radicand, real number

Reasoning with Equations & Inequalities: quadratic formula, inequality, real number, variable, equality, rational equation, matrix, complete the square, plot, simple equation, ordered pair, exponential, linear equation, solution, square root, factor, quadratic equation, coordinates, inverse, intersection, interval, domain, qualitative data, range, complement, quantitative data, proportion, compound, compound interest, solutions

Modeling

Number & Quantity - Data Processing: structure, quantity, function, computation, diagram, empirical, statistics, assumptions, predictions, consequences

Number & Quantity - Expressions: algebraic, variables, geometric, algebraic, exponents, expression, parentheses, order of operations, operations, equivalence

Number & Quantity - Operations: integrals, second derivative, irrational numbers, absolute value, real number, rational expression, complex number, absolute extrema, vector, first derivative test

Number & Quantity - Analysis: analysis, data, conclusion, validate, graphical, reason, compare, tabular, report, essential

Algebra - Coordinates: coordinates, function, real number, value, number set, ordered pair, graph, plot, system, coordinate plane

Algebra - Equations: factor, order of operations, structure, expression, constant, variable, equivalent expression, equation, solution, convert

Algebra - Operations: inequality, parentheses, quantity, exponents, operations, expression, equivalence, computation, square, manipulation

Statistics & Probability: sample space, statistics, correlation coefficient, expected values, random variable, probability distribution, empirical, numerical value, regression line, probability concepts, negation, simulations, empirical rule, variance, contrapositive, interquartile range, frequency, conditional statement, standard deviation, conditional probability

Functions: algebraic expression, recursive rule, graph, exponential function, verbal rule, linear function, domain, numerical input, infer, numerical output, variable linear density, slope, implicit function, logarithmic function, converge, matrix, element, transcendental function, concavity, critical point

Geometry: cylinder, density, grid system, physical constraints, area, volume, tangent, prism, estimate, coordinate system, hyperbola, ellipse, circular sector, cusp, ellipsoid, helix, solid of revolution, paraboloid of revolution, asymptote, lamina

Statistics & Probability

Interpreting Categorical & Quantitative Data: function, variance, quantitative data, qualitative data, outlier, frequency, standard deviation, slope, sigma, interquartile range

Making Inferences & Justifying Conclusions: conditional probability, conclude, qualitative data, quantitative data, inference, empirical rule, infer, proof, variance, conclusion

Conditional Probability & the Rules of Probability: condition, conjunction, conditional statement, conditional probability, rule, disjunction, element, negation, probability, dependent variable

Using Probability to Make Decisions: contrapositive, probability, odds, conjunction, deducing, probable, reasoning, likelihood, disjunction, less likely

Functions

Interpreting Functions: transcendental function, finite, function, critical point, logarithmic function, domain, infinity, linear equation, range, infinite

Building Functions: integral, matrices, matrix, glide reflection, range, oblique, differentials, logarithm, domain, derivative, square matrix, intercept, slope, line graph, point slope form, radian measure, period, symmetry, parallel, variation

Linear, Quadratic, & Exponential Models: distance formula, exponential, first derivative test, fractals, exponent, binomial theorem, Cramer's Rule, derivative, second derivative, integral, logarithm, velocity, linear, slope, quadratic formula, natural logarithm, lateral area, differentiation, hyperbola, parabola

Trigonometric Functions: step function, trigonometric identity, implicit function, trigonometric function, half angle formula, pythagorean, tangent, sine, cosine, double angle formula

Geometry

Congruence: angle, diagonal, apothem, congruent, converse, equiangular, direction, magnitude, parallel, convex, trapezoid, rectangle, polygon, skew lines, perpendicular, supplementary, parallelogram, rhombus, scalar, vector

Similarity, Right Triangles, & Trigonometry: bisect, function, equilateral, convex, concurrent lines, cosine, bisector, centroid, concave, isosceles, oblique, concavity, pythagorean, sine, orthocenter, tangent line, trigonometric ratios, parallel, obtuse, scalene

Circles: circumscribed, circumcenter, arc, central angle, chord, circumference, centroid, circle, diameter, circles, sphere, foci, secant, focus, tangent, radius, radii, inscribed, locus, globe

Expressing Geometric Properties with Equations: perpendicular, scalene, slope, Pythagorean Theorem, perimeter, focus, ellipse, geometric mean, parallel, polygon

Geometric Measurement & Dimension: midpoint formula, altitude, concurrent lines, conic sections, lateral area, sphere, pyramid, centroid, coplanar, collinear

Modeling with Geometry: euclidean geometry, angle of elevation, biconditional statement, vector, theorem, conditional statement, angle of depression, geometric, construction, glide reflection

 

 

 

 

 

 

 

 

 

 

 

 

 

Symbols

( ) , [ ], { }

Parentheses , Square Bracket , Braces

= , ≠ ,

is equal to , is not equal to , is approximately equal to

< , >

is less than , is greater than / exceed

// , ⊥

is parallel to , is perpendicular to

%

percentage

+ , -

positive , negative

∠ , △

Angle,triangle

Because, since

Therefore

XXX

is congruent to , is similar to

Number & Quantity

The Real Number System: series, rational expression, equation, rational number, integer, notation, real number, exponent, nonzero, polynomial, matrix, rational, value, real number, factorial, solutions, properties, complex number, radical, vector

Quantities: volume, length, average, formula, origin, data, limitation, conversion, unit, modeling, accuracy, solutions, conjugate, graph, rates, measure, quantities, area, acceleration, scale, quantity, reasoning, quantitative data, volume by slicing, dimensional, calculus, magnitude, qualitative data, dimensional analysis, unit conversion

The Complex Number System: equation, complex number, binomial, distributive, real number, multiply, polynomial, add, whole number, conjugate, property, solutions, value, quotient, subtract, number, real number, divide, associative, complex number, quadratic formula, integrals, first derivative test, complex numbers, differentials, conjugate, real number, second derivative, absolute value, irrational numbers

Vector & Matrix Quantities: direction, determinant, transformation, matrix, absolute value, scalar multiple, integrals, magnitude, scalar, vector

Algebra

Seeing Structure in Expressions: factor, square, quadratic, expression, coefficient, product, rewrite, minimum value, quantity, maximum value, manipulation, equivalent, permutation, geometric sequence, common ratio, sequences, Fibonacci, series, derive, factorial

Arithmetic with Polynomials & Rational Expressions: integer, expansion, graph, rational expression, rational number, binomial theorem, polynomial, factor, order of operations, coefficient, arithmetic, binomial, trinomial, monomial, solutions, absolute value, algebraic, combination, synthetic division, algebra

Creating Equations: graph, inequality, function, variable, rational function, linear function, coordinate axes, equation, quadratic function, solution, disjunction, domain, range, finite, conjunction, parabola, algebra, parent function, complex number, infinite, sequences, qualitative data, piecewise function, quantitative data, rational, rational expression, regression equation, frequency, radicand, real number

Reasoning with Equations & Inequalities: quadratic formula, inequality, real number, variable, equality, rational equation, matrix, complete the square, plot, simple equation, ordered pair, exponential, linear equation, solution, square root, factor, quadratic equation, coordinates, inverse, intersection, interval, domain, qualitative data, range, complement, quantitative data, proportion, compound, compound interest, solutions

Modeling

Number & Quantity - Data Processing: structure, quantity, function, computation, diagram, empirical, statistics, assumptions, predictions, consequences

Number & Quantity - Expressions: algebraic, variables, geometric, algebraic, exponents, expression, parentheses, order of operations, operations, equivalence

Number & Quantity - Operations: integrals, second derivative, irrational numbers, absolute value, real number, rational expression, complex number, absolute extrema, vector, first derivative test

Number & Quantity - Analysis: analysis, data, conclusion, validate, graphical, reason, compare, tabular, report, essential

Algebra - Coordinates: coordinates, function, real number, value, number set, ordered pair, graph, plot, system, coordinate plane

Algebra - Equations: factor, order of operations, structure, expression, constant, variable, equivalent expression, equation, solution, convert

Algebra - Operations: inequality, parentheses, quantity, exponents, operations, expression, equivalence, computation, square, manipulation

Statistics & Probability: sample space, statistics, correlation coefficient, expected values, random variable, probability distribution, empirical, numerical value, regression line, probability concepts, negation, simulations, empirical rule, variance, contrapositive, interquartile range, frequency, conditional statement, standard deviation, conditional probability

Functions: algebraic expression, recursive rule, graph, exponential function, verbal rule, linear function, domain, numerical input, infer, numerical output, variable linear density, slope, implicit function, logarithmic function, converge, matrix, element, transcendental function, concavity, critical point

Geometry: cylinder, density, grid system, physical constraints, area, volume, tangent, prism, estimate, coordinate system, hyperbola, ellipse, circular sector, cusp, ellipsoid, helix, solid of revolution, paraboloid of revolution, asymptote, lamina

Statistics & Probability

Interpreting Categorical & Quantitative Data: function, variance, quantitative data, qualitative data, outlier, frequency, standard deviation, slope, sigma, interquartile range

Making Inferences & Justifying Conclusions: conditional probability, conclude, qualitative data, quantitative data, inference, empirical rule, infer, proof, variance, conclusion

Conditional Probability & the Rules of Probability: condition, conjunction, conditional statement, conditional probability, rule, disjunction, element, negation, probability, dependent variable

Using Probability to Make Decisions: contrapositive, probability, odds, conjunction, deducing, probable, reasoning, likelihood, disjunction, less likely

Functions

Interpreting Functions: transcendental function, finite, function, critical point, logarithmic function, domain, infinity, linear equation, range, infinite

Building Functions: integral, matrices, matrix, glide reflection, range, oblique, differentials, logarithm, domain, derivative, square matrix, intercept, slope, line graph, point slope form, radian measure, period, symmetry, parallel, variation

Linear, Quadratic, & Exponential Models: distance formula, exponential, first derivative test, fractals, exponent, binomial theorem, Cramer's Rule, derivative, second derivative, integral, logarithm, velocity, linear, slope, quadratic formula, natural logarithm, lateral area, differentiation, hyperbola, parabola

Trigonometric Functions: step function, trigonometric identity, implicit function, trigonometric function, half angle formula, pythagorean, tangent, sine, cosine, double angle formula

Geometry

Congruence: angle, diagonal, apothem, congruent, converse, equiangular, direction, magnitude, parallel, convex, trapezoid, rectangle, polygon, skew lines, perpendicular, supplementary, parallelogram, rhombus, scalar, vector

Similarity, Right Triangles, & Trigonometry: bisect, function, equilateral, convex, concurrent lines, cosine, bisector, centroid, concave, isosceles, oblique, concavity, pythagorean, sine, orthocenter, tangent line, trigonometric ratios, parallel, obtuse, scalene

Circles: circumscribed, circumcenter, arc, central angle, chord, circumference, centroid, circle, diameter, circles, sphere, foci, secant, focus, tangent, radius, radii, inscribed, locus, globe

Expressing Geometric Properties with Equations: perpendicular, scalene, slope, Pythagorean Theorem, perimeter, focus, ellipse, geometric mean, parallel, polygon

Geometric Measurement & Dimension: midpoint formula, altitude, concurrent lines, conic sections, lateral area, sphere, pyramid, centroid, coplanar, collinear

Modeling with Geometry: euclidean geometry, angle of elevation, biconditional statement, vector, theorem, conditional statement, angle of depression, geometric, construction, glide reflection