Mathematics: English Vocabulary List

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

"The intercept is zero."

"The y-intercept of the line is the point where it crosses the vertical axis of the coordinate plane."

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

"The two lines intersect at point A."

"The two main roads intersect at the large traffic circle near the center of the city."

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

"Draw scatter plot."

"Students learned how to draw a scatter plot to show the relationship between two variables in statistics class."

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

"Draw line of best fit."

"We need to draw the line of best fit on the scatter plot to show the trend clearly."

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

"A histogram shows data."

"The histogram visually represented the frequency distribution of student test scores across the entire class."

a mathematical function that creates a straight line when graphed

"Study linear function."

"We study linear function in mathematics to understand straight line relationships between variables."

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

"The rational function had a vertical asymptote."

"A rational function is a mathematical expression that can be written as the ratio of two polynomials."

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

"Find the coordinate point."

"The GPS system uses a coordinate system to pinpoint your exact location on Earth."

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

"Use integer constant."

"In the equation we use an integer constant to represent a fixed whole number value."

an equation that makes a straight line when graphed

"Solve linear equation."

"We learned how to solve a linear equation with one variable in algebra class last week."

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

"A polynomial function is complex."

"In advanced calculus, students must learn how to analyze the behavior of a polynominal function when its degree increases significantly."

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

"Find the coefficient."

"We need to find the coefficient of x in this algebraic equation before solving it."

an equation where the highest power of the variable is squared

"Solve quadratic equation."

"We learned how to solve quadratic equations using different methods in mathematics class yesterday."

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

"Linear regression analysis."

"Linear regression analysis helps us understand the relationship between two variables in statistics."

having or involving two distinct modes, peaks, or most frequent values

"The distribution is bimodal."

"The bimodal distribution has two peaks and it suggests that the data comes from two different groups."

having equal distances from two or more points

"The points are equidistant."

"The two points are equidistant from the center of the circle so they lie on the same circumference."

having points that lie on the same straight line

"The points are collinear."

"The three points are collinear because they all lie on the same straight line."

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

"The theorem was proven."

"Pythagoras' theorem, stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides, is a fundamental geometric theorem."

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

"In expanded notation nine hundred equals nine times one hundred."

"In expanded notation the number five hundred twenty three is written as five hundred plus twenty plus three."

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

"Write in scientific notation."

"We write very large or small numbers in scientific notation to make them easier to read and calculate."

to represent or illustrate something using a drawing, chart, or schematic

"Diagram the sentence structure clearly."

"The teacher asked the students to diagram the complex sentence to understand its grammatical structure better."

a two-dimensional system used to represent points in space

"Graph on coordinate plane."

"We graph points and lines on the standard coordinate plane during geometry lessons."

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

"Study trigonometric function."

"We study trigonometric function to understand relationships between angles and sides in triangles."

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

"Form augmented matrix."

"We form an augmented matrix to solve systems of linear equations more easily."

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

"Find unit vector."

"We need to find the unit vector in the same direction as the given vector in the problem."

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

"The determinant of the matrix is zero."

"We calculate the determinant of the matrix to solve the system of equations."

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

"Draw on the plane."

"In three-dimensional geometry, a plane is a flat, two-dimensional surface extending infinitely."

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

"A function changes value."

"The function of this new software is to automatically organize and categorize all incoming emails."

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

"We model the data."

"Scientists use complex mathematical equations to model the behavior of planetary systems."

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

"Pi is a constant."

"In physics, the speed of light in a vacuum is a fundamental constant that never changes."

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

"Write an expression."

"The algebraic expression includes variables, coefficients, and mathematical operations to represent a numerical relationship."

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

"The value is equivalent."

"The two expressions are mathematically equivalent so you can use either one to solve the equation."

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

"Age was the main variable in our research study."

"A control variable is intentionally kept constant throughout an experiment so that it does not influence the results."

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

"Use a good scale."

"The Richter scale is used to measure the magnitude of earthquakes based on seismic wave amplitude."

a diagram or illustration that is used to show or explain something, such as a chart, graph, or drawing

"See the figure on page 5."

"The accompanying figure clearly illustrates the complex relationship between the two variables."

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

"The domain is all numbers."

"Understanding the domain is crucial for correctly interpreting the function's behavior across all possible inputs."

(in mathematics) a set of points with coordinates that satisfy specific relationships

"The graph shows the data."

"This particular graph represents a parabola, defined by a specific quadratic relationship between x and y."

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

"The interval is wide."

"The temperature remained within a narrow interval between 20 and 22 degrees Celsius throughout the day."

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

"The numbers correspond."

"Each element in the first set appears to directly correspond with a unique element in the second set."

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

"This is a term."

"The expression contains three distinct terms, each involving a variable and a coefficient."

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

"The axis is straight."

"The y-axis serves as a fundamental reference line for plotting all vertical coordinates in the Cartesian system."

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

"This can satisfy the equation."

"Only values within the specified interval will satisfy the conditions of the inequality."

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

"The period is short."

"The periodic nature of the function means that its pattern repeats over a consistent and measurable period."

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

"Let's evaluate this."

"We need to carefully evaluate the expression by substituting the given values for each variable."

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

"The matrix has three rows and four columns."

"A matrix is a rectangular array of numbers or symbols arranged in rows and columns"

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

"The factorial of 5 is 120."

"We learned how to calculate factorial of a number in mathematics class last week."

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

"The vector points north."

"In physics, a velocity vector indicates both the speed and the direction of an object's motion."