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ACT 数学と評価 - 数学

ここでは、ACT のエースに役立つ「ヒストグラム」、「定理」、「行列」など、数学に関連する英単語を学びます。

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ACT Vocabulary for Math and Assessment
function

(mathematics) a quantity whose value changes according to another quantity's varying value

関数

関数

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[名詞]
to model

to make a representation of something, especially one based on mathematics

モデル化する

モデル化する

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[動詞]
constant

a quantity or value that remains the same and does not change in a specific mathematical context

定数

定数

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[名詞]
expression

a combination of numbers, variables, operations, and grouping symbols that collectively represent a numerical value or relationship

代数的表現

代数的表現

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[名詞]
equivalent

(of mathematical expressions or quantities) having the same value or function, even if they appear in different forms

等価の

等価の

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[形容詞]
variable

(mathematics) a quantity that is capable of assuming different values in a calculation

変数

変数

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[名詞]
scale

a system of numerical values used to quantify and compare levels, degrees, or values

スケール

スケール

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[名詞]
figure

a symbol that represents any number between 0 and 9

数字

数字

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[名詞]
domain

the set of all possible input values for which a given function is defined

定義域

定義域

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[名詞]
graph

(mathematics) a set of points whose coordinates are in agreement with one another

グラフ

グラフ

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[名詞]
diagram

a graphic design intended to explain something

図

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[名詞]
histogram

a diagram consisting of bars with different heights that represent the amount of a variable

ヒストグラム

ヒストグラム

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[名詞]
scatter plot

a type of graph used in statistics and data analysis to display and compare two sets of numerical data

散布図

散布図

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[名詞]
intercept

the point where a line, curve, or surface crosses an axis on a graph

切片点

切片点

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[名詞]
plane

a flat, two-dimensional surface that extends infinitely in all directions

平面

平面

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[名詞]
coordinate

any set of numbers that represent an exact position on a map or graph

座標

座標

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[名詞]
line of best fit

a straight line drawn through the center of a group of data points on a scatter plot representing the best approximation of the relationship between the variables being studied

最適線

最適線

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[名詞]
to intersect

to meet or cross another path, line, etc. at a particular point

交差する

交差する

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[動詞]
interval

a set of real numbers that includes all the numbers between any two specified numbers within the set

インターバル

インターバル

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[名詞]
linear function

a mathematical function that creates a straight line when graphed

線形関数

線形関数

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[名詞]
rational function

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero

有理関数

有理関数

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[名詞]
integer constant

a fixed numerical value that is a whole number, either positive, negative, or zero

整数定数

整数定数

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[名詞]
nonlinear

not following a straight or predictable line, sequence, or pattern

非線形

非線形

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[形容詞]
to correspond

to have a direct relationship or alignment with something else, such as paired values or elements

一致する

一致する

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[動詞]
term

a single number, variable, or the product of numbers and variables in an expression or equation, separated by addition or subtraction operators

項

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[名詞]
axis

a reference line used in coordinate systems to provide a framework for locating points

軸

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[名詞]
polynominal function

a mathematical function that can be expressed as a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power

多項式関数

多項式関数

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[名詞]
to satisfy

to fulfill the conditions or requirements of a mathematical statement, equation, or inequality

満たす

満たす

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[動詞]
coefficient

a numerical or constant factor that multiplies a variable in an algebraic term

係数

係数

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[名詞]
quadratic

an equation where the highest power of the variable is squared

二次方程式

二次方程式

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[名詞]
regression

a statistical method used to model and analyze the relationship between a dependent variable and one or more independent variables

回帰

回帰

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[名詞]
equidistant

having equal distances from two or more points

等距

等距

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[形容詞]
collinear

having points that lie on the same straight line

共線の

共線の

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[形容詞]
theorem

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

定理

定理

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[名詞]
period

a recurring interval or length associated with a mathematical function or pattern

周期

周期

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[名詞]
to evaluate

to find the numerical value of an expression, equation, or function by substituting specific values for the variables

評価する

評価する

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[動詞]
expanded notation

a way of representing numbers as the sum of each digit multiplied by its place value

拡張表記

拡張表記

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[名詞]
scientific notation

a method of writing numbers as the product of a coefficient and a power of 10

科学的表記法

科学的表記法

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[名詞]
matrix

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

行列

行列

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[名詞]
determinant

a single number calculated from the elements of a square matrix that indicates important properties, like whether the matrix can be inverted

行列式

行列式

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[名詞]
factorial

the product of all positive whole numbers from 1 to a given number

階乗

階乗

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[名詞]
vector

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

ベクトル

ベクトル

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[名詞]
standard coordinate plane

a two-dimensional system used to represent points in space

標準座標平面

標準座標平面

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[名詞]
trigonometric function

a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

三角関数

三角関数

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[名詞]
augmented matrix

a way of representing a system of linear equations in matrix form

拡張行列

拡張行列

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[名詞]
unit vector

a vector that has a magnitude of 1 and represents direction without regard to scale

単位ベクトル

単位ベクトル

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[名詞]
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