Content Showcase: Math Vocabulary
Media4Math has a visual math dictionary of key terms and definitions of hundreds of math terms. This collection of resources includes images that you can easily incorporate into your lesson plans.
Scroll down to see an alphabetical listing of all the terms. Or click on this link to see the terms organized by collection.
| Thumbnail Image | Description | Curriculum Topic | |
|---|---|---|---|
Definition--Calculus Topics--Indefinite Integral |
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Definition--Calculus Topics--Indefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. |
Calculus Vocabulary |
Definition--Calculus Topics--Inflection Point |
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Definition--Calculus Topics--Inflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. |
Calculus Vocabulary |
Definition--Calculus Topics--Instantaneous Rate of Change |
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Definition--Calculus Topics--Instantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. |
Calculus Vocabulary |
Definition--Calculus Topics--Integral |
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Definition--Calculus Topics--Integral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). |
Calculus Vocabulary |
Definition--Calculus Topics--Integral Symbol |
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Definition--Calculus Topics--Integral Symbol
The mathematical symbol used to denote the process of integration. The symbol is an elongated S, which indcates the infinitesimal sums that make up the area under a curve. |
Calculus Vocabulary |
Definition--Calculus Topics--Integrand |
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Definition--Calculus Topics--Integrand
In the process of integration, it is the function that is being integrated. |
Calculus Vocabulary |
Definition--Calculus Topics--Integration by Substitution |
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Definition--Calculus Topics--Integration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. |
Calculus Vocabulary |
Definition--Calculus Topics--Intermediate Value Theorem |
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Definition--Calculus Topics--Intermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). |
Calculus Vocabulary |
Definition--Calculus Topics--Inverse Function |
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Definition--Calculus Topics--Inverse Function
For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function. |
Calculus Vocabulary |
Definition--Calculus Topics--L'Hopital's Rule |
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Definition--Calculus Topics--L'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital's Rule can be used to find the limit as x approaches c by taking the ratio of the derivatives of the |
Calculus Vocabulary |
Definition--Calculus Topics--Left-Hand Limit |
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Definition--Calculus Topics--Left-Hand Limit
As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value. This limit may or may not exist. |
Calculus Vocabulary |
Definition--Calculus Topics--Limit |
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Definition--Calculus Topics--Limit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. |
Calculus Vocabulary |
Definition--Calculus Topics--Limits at Infinity |
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Definition--Calculus Topics--Limits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. |
Calculus Vocabulary |
Definition--Calculus Topics--Linear Approximation |
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Definition--Calculus Topics--Linear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. |
Calculus Vocabulary |
Definition--Calculus Topics--Local Maximum |
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Definition--Calculus Topics--Local Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. A function can have more than one local maximum. |
Calculus Vocabulary |
Definition--Calculus Topics--Local Minimum |
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Definition--Calculus Topics--Local Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. A function can have more than one local minimum. |
Calculus Vocabulary |
Definition--Calculus Topics--Matrix Representations of Vectors |
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Definition--Calculus Topics--Matrix Representations of Vectors
A vector quantity can be represented by a matrix. |
Calculus Vocabulary |
Definition--Calculus Topics--Mean Value Theorem |
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Definition--Calculus Topics--Mean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by the line connecting the endpoints of the interval. |
Calculus Vocabulary |
Definition--Calculus Topics--Oblique Asymptote |
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Definition--Calculus Topics--Oblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. The equation of an oblique asymptote is y = mx + b, for some constants m and b. |
Calculus Vocabulary |
Definition--Calculus Topics--Odd Function |
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Definition--Calculus Topics--Odd Function
A function whose graph has point symmetry about the origin. |
Calculus Vocabulary |
Definition--Calculus Topics--One-Sided Limits |
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Definition--Calculus Topics--One-Sided Limits
Restricting the limit of a function for values approaching the limiting value from one side. |
Calculus Vocabulary |
Definition--Calculus Topics--Parametric Equations |
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Definition--Calculus Topics--Parametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. |
Calculus Vocabulary |
Definition--Calculus Topics--Piecewise Function |
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Definition--Calculus Topics--Piecewise Function
A function made up of separate functions, each with its own interval. |
Calculus Vocabulary |
Definition--Calculus Topics--Power Function |
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Definition--Calculus Topics--Power Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. |
Calculus Vocabulary |
Definition--Calculus Topics--Power Rule |
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Definition--Calculus Topics--Power Rule
The process of finding the derivative of a power function. |
Calculus Vocabulary |
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