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Matematika at Pagtatasa sa ACT - Matematika

Matutunan ang bokabularyo ng ACT para sa matematika, kabilang ang mga numero, operasyon, equation, variable, formula, at iba pang termino na ginagamit sa quantitative problem solving.

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Simulan ang pag-aaral
ACT Vocabulary for Math and Assessment
function
function
[Pangngalan]

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

pungkion

pungkion

Ex: Statisticians analyze data using functions such as mean, median, and standard deviation to understand distributions and trends. 
to model
to model
[Pandiwa]

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

magmodelo, kumatawan

magmodelo, kumatawan

Ex: By modeling the financial system, they were able to predict the economic impact of the policy changes. 
constant
constant
[Pangngalan]

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

konstante

konstante

Ex: Pi is a mathematical constant approximately equal to 3.14159. 
expression
expression
[Pangngalan]

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

pahayag, pormula

pahayag, pormula

Ex: Euler's formula, ( e^{ipi} + 1 = 0 ), is often cited as a beautiful mathematical expression due to its simplicity and depth. 
equivalent
equivalent
[pang-uri]

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

katumbas

katumbas

Ex: The fractions 1/2 and 2/4 are equivalent because they represent the same value. 
variable
variable
[Pangngalan]

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

variable

variable

Ex: In statistical analysis, variables can be classified as independent or dependent, depending on their role in the study. 
scale
scale
[Pangngalan]

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

sukatan, antas

sukatan, antas

Ex: The Likert scale is commonly used in surveys to gauge responses. 
figure
figure
[Pangngalan]

a symbol that represents any number between 0 and 9

digit, numero

digit, numero

Ex: The financial report includes various figures representing revenue and expenses. 
domain
domain
[Pangngalan]

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

domain, saklaw

domain, saklaw

Ex: The domain of this function includes all real numbers. 
graph
graph
[Pangngalan]

the set of points whose coordinates satisfy a particular equation or mathematical relation

graph, grapika

graph, grapika

Ex: The graph of the equation forms a straight line. 
diagram
diagram
[Pangngalan]

a simplified drawing or plan used to show the parts, structure, operation, or relationships of something

dayagram

dayagram

Ex: The teacher drew a diagram of the human heart on the board. 
histogram
histogram
[Pangngalan]

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

histogram, diagram ng mga bar

histogram, diagram ng mga bar

scatter plot
scatter plot
[Pangngalan]

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

scatter plot, graph ng pagkakalat

scatter plot, graph ng pagkakalat

Ex: The scatter plot revealed a positive correlation between hours of study and exam scores. 

Ang scatter plot ay nagpakita ng positibong ugnayan sa pagitan ng oras ng pag-aaral at mga marka sa pagsusulit.

intercept
intercept
[Pangngalan]

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

ang intercept, punto ng intercept

ang intercept, punto ng intercept

Ex: The y-intercept of the line is where it crosses the y-axis at 

Ang intercept ng linya ay kung saan ito tumatawid sa y-axis sa

plane
plane
[Pangngalan]

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

eroplano, patag na ibabaw

eroplano, patag na ibabaw

Ex: Understanding planes is fundamental to the study of three-dimensional shapes and spaces. 
coordinate
coordinate
[Pangngalan]

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

koordinado, heograpikong koordinado

koordinado, heograpikong koordinado

Ex: The GPS coordinates 35.6895° N, 139.6917° E lead to Tokyo. 
line of best fit
line of best fit
[Pangngalan]

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

linya ng pinakamahusay na pagkakatugma, linya ng pagbabalik

linya ng pinakamahusay na pagkakatugma, linya ng pagbabalik

Ex: The line of best fit on the scatter plot showed a clear upward trend. 

Ang linya ng pinakamahusay na pagkakaangkop sa scatter plot ay nagpakita ng malinaw na pataas na trend.

to intersect
to intersect
[Pandiwa]

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

magkrus, magtagpo

magkrus, magtagpo

Ex: The two roads intersect at the traffic light. 

Ang dalawang kalsada ay nag-intersect sa traffic light.

interval
interval
[Pangngalan]

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

pagitan, interbal

pagitan, interbal

Ex: An interval like [2, 2] includes only the number 2, as both endpoints are the same. 
linear function
linear function
[Pangngalan]

a mathematical function that creates a straight line when graphed

linear na function, linear na aplikasyon

linear na function, linear na aplikasyon

Ex: In economics, supply and demand can often be modeled using linear functions to predict market behavior. 

Sa ekonomiya, ang suplay at demand ay madalas na maaaring imodelo gamit ang mga linear function upang mahulaan ang pag-uugali ng merkado.

rational function
rational function
[Pangngalan]

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

rasyonal na pag-andar, rasyonal na praksyon

rasyonal na pag-andar, rasyonal na praksyon

Ex: To find the vertical asymptotes of a rational function, set the denominator equal to zero and solve for 

Upang mahanap ang mga vertical asymptotes ng isang rational function, itakda ang denominator na katumbas ng zero at lutasin para sa

integer constant
integer constant
[Pangngalan]

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

integer constant, constanteng buumbilang

integer constant, constanteng buumbilang

Ex: In the expression 2x+5, the integer constant is 5. 

Sa ekspresyong 2x+5, ang integer constant ay 5.

nonlinear
nonlinear
[pang-uri]

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

hindi tuwid, hindi predictable

hindi tuwid, hindi predictable

Ex: The growth of the economy is often nonlinear, influenced by numerous factors. 

Ang paglago ng ekonomiya ay madalas na hindi linear, naaapektuhan ng maraming mga salik.

to correspond
to correspond
[Pandiwa]

to be directly related to or paired with another value, element, or item

tumutugma,  katumbas

tumutugma, katumbas

Ex: Each number corresponds to a letter in the code. 
term
term
[Pangngalan]

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

termino, elemento

termino, elemento

Ex: Combining like terms in an algebraic expression simplifies it. 
axis
axis
[Pangngalan]

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

aksis, linya ng sanggunian

aksis, linya ng sanggunian

Ex: When graphing functions, it's essential to label the axes to provide context for the plotted points. 

Kapag nag-graph ng mga function, mahalagang lagyan ng label ang mga axis upang magbigay ng konteksto sa mga naka-plot na puntos.

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

polynomial function, function na polynomial

polynomial function, function na polynomial

Ex: In algebra, students learn how to add, subtract, multiply, and factor polynomial functions. 

Sa algebra, natututo ang mga estudyante kung paano magdagdag, magbawas, magparami, at mag-factor ng polynomial functions.

to satisfy
to satisfy
[Pandiwa]

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

masiyahan,  matugunan

masiyahan, matugunan

Ex: The value x = 4 satisfies the equation. 
coefficient
coefficient
[Pangngalan]

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

koepisyent, factor na multiplicative

koepisyent, factor na multiplicative

Ex: In the system of equations, the coefficients of the variables must be aligned to use matrix methods. 

Sa sistema ng mga equation, ang mga coefficient ng mga variable ay dapat na naka-align upang magamit ang mga pamamaraan ng matrix.

quadratic
quadratic
[Pangngalan]

an equation where the highest power of the variable is squared

kuwadradiko

kuwadradiko

Ex: A quadratic can have zero, one, or two real solutions depending on the discriminant. 

Ang isang quadratic ay maaaring magkaroon ng zero, isa, o dalawang tunay na solusyon depende sa discriminant.

regression
regression
[Pangngalan]

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

pagsasauli

pagsasauli

Ex: Linear regression is used to find the best-fitting line through a set of data points. 

Ang linear na regression ay ginagamit upang mahanap ang pinakamahusay na linya sa pamamagitan ng isang hanay ng mga punto ng data.

equidistant
equidistant
[pang-uri]

having equal distances from two or more points

pantay ang layo, may parehong distansya mula sa dalawa o higit pang puntos

pantay ang layo, may parehong distansya mula sa dalawa o higit pang puntos

Ex: The point is equidistant from both the x-axis and the y-axis in the coordinate plane. 

Ang punto ay pareho ang layo mula sa parehong x-axis at y-axis sa coordinate plane.

collinear
collinear
[pang-uri]

having points that lie on the same straight line

kolinear, nakahanay sa iisang tuwid na linya

kolinear, nakahanay sa iisang tuwid na linya

Ex: The three points are collinear, forming a straight line on the graph. 

Ang tatlong puntos ay collinear, bumubuo ng isang tuwid na linya sa graph.

theorem
theorem
[Pangngalan]

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

teorema

teorema

Ex: Mathematicians often prove theorems to establish mathematical truths. 

Ang mga matematiko ay madalas na nagpapatunay ng teorema upang maitatag ang mga katotohanan sa matematika.

period
period
[Pangngalan]

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

panahon, pagitan

panahon, pagitan

Ex: The period of a trigonometric function is the length of the interval over which the function repeats its values. 
to evaluate
to evaluate
[Pandiwa]

to determine the numerical value of a mathematical expression, function, or quantity

mag-evaluate,  kalkulahin

mag-evaluate, kalkulahin

Ex: Evaluate the expression when x equals four. 
expanded notation
expanded notation
[Pangngalan]

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

pinalawak na notasyon, numerikal na pagkabulok

pinalawak na notasyon, numerikal na pagkabulok

Ex: Students learn expanded notation to better understand the structure and value of numbers. 

Natutunan ng mga mag-aaral ang pinalawak na notasyon upang mas maunawaan ang istruktura at halaga ng mga numero.

scientific notation

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

siyentipikong notasyon, siyentipikong pagsulat

siyentipikong notasyon, siyentipikong pagsulat

Ex: When discussing the size of galaxies, astronomers often use scientific notation to represent their vast distances from Earth. 

Kapag pinag-uusapan ang laki ng mga galaxy, madalas gamitin ng mga astronomer ang scientific notation upang ilarawan ang kanilang malalayong distansya mula sa Earth.

matrix
matrix
[Pangngalan]

a rectangular arrangement of numbers, symbols, or expressions in rows and columns

matriks,  matriks

matriks, matriks

Ex: The students multiplied the two matrices. 
determinant
determinant
[Pangngalan]

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

determinant

determinant

Ex: If the determinant of a matrix is zero, the matrix is singular and does not have an inverse. 

Kung ang determinant ng isang matrix ay zero, ang matrix ay singular at walang kabaligtaran.

factorial
factorial
[Pangngalan]

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

paktoryal, paktoryal

paktoryal, paktoryal

Ex: The factorial of 5 is calculated as 5!=5×4×3×2×1=120. 

Ang factorial ng 5 ay kinakalkula bilang 5! = 5×4×3×2×1 = 120.

vector
vector
[Pangngalan]

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

vector, vector

vector, vector

Ex: In physics, force is often represented as a vector, considering both its magnitude and direction. 
standard coordinate plane

a two-dimensional system used to represent points in space

karaniwang coordinate plane, karaniwang Cartesian plane

karaniwang coordinate plane, karaniwang Cartesian plane

Ex: The standard coordinate plane provides a visual representation of mathematical relationships between variables in two dimensions. 

Ang standard coordinate plane ay nagbibigay ng visual na representasyon ng mga matematikal na relasyon sa pagitan ng mga variable sa dalawang dimensyon.

trigonometric function

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

trigonometrikong function

trigonometrikong function

Ex: The sine and cosine trigonometric functions are fundamental in calculating wave patterns. 

Ang sine at cosine na trigonometric functions ay pangunahing sa pagkalkula ng wave patterns.

augmented matrix
augmented matrix
[Pangngalan]

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

pinahabang matris, dinagdagan na matris

pinahabang matris, dinagdagan na matris

Ex: In linear algebra, students learn to manipulate augmented matrices to solve systems of equations and perform other operations. 

Sa linear algebra, natututo ang mga estudyante na manipulahin ang augmented matrices upang malutas ang mga sistema ng mga equation at magsagawa ng iba pang mga operasyon.

unit vector
unit vector
[Pangngalan]

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

unit vector, vector na may sukat na 1

unit vector, vector na may sukat na 1

Ex: The electric field at a point due to a charged particle can be expressed as a vector quantity using a unit vector to represent direction. 

Ang electric field sa isang punto dahil sa isang charged particle ay maaaring ipahayag bilang isang vector quantity gamit ang isang unit vector upang kumatawan sa direksyon.

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