FL-Grade-HS-FN: MAFS.912.F-IF.3.7

These are the resources that support this Florida Standard.

MAFS.912.F-IF.3.7: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
d. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

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Construction Site Math. Apply ratios and proportions to mixtures of cement and concrete. This module includes video resources and your students will get a real-world application of ratios and proportions.
Counting Bison. Apply place value concepts to the real-world application of the bison population. Because the bison population has gone through dramatic changes in population, this become an opportunity to use and apply place value.
Wildlife Refuge. This study of area and perimeter centers on the mustang population in the Nevada area. Students explore the relationship between area and perimeter of rectangular shapes in the context of designing a wildlife refuge.

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Google Earth. Media4Math has partnered with GoogleEarth to create a comprehensive library of GoogleEarth Voyager Stories. These map-based explorations of geometry, geography, and culture will literally bring the math to life. See our collection of Voyager Stories by clicking on this link to the Google Earth resources.

Link to the GoogleEarth site.
Texas Instruments. TI is the leading provider of graphing calculators used in the classroom. Media4Math has partnered with TI to create a library of digital resources to support the use of these graphing calculators. These resources include videos, presentations, and related tutorials. See our collection of TI resources by clicking on this link to the TI resources.

Link to the Media4Math publisher page on the TI site.
Desmos. This free online resource that includes a graphing calculator and geometry tools. Media4Math has created an extensive library of resources that support the use of these Desmos resources. See our collection of Desmos resources by clicking on this link to the Desmos resources.

Link to the Desmos site.
Quizlet. We have partnered with the leading provider of interactive Flash Cards and is used by millions of teachers and students around the world. Media4Math has developed an extensive library of Quizlet resources. See our collection of Quizlet resources by clicking on this link to the Quizlet resources.
Link to the Media4Math Study Sets on Quizlet and search for "Media4Math."
The Princeton Review. The Princeton Review is the leading provider of SAT prep and other test preparation courses and tutorials. Media4Math is an affiliate of Princeton Review and we have created a set of free SAT math resources, sponsored by Princeton Review. See this collection of SAT resources by clicking on this link to the Princeton Review resources.
Link to the Princeton Review site.

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Title	Description	Curriculum Topics
Definition--Calculus Topics--Inflection Point	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	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	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	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	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	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	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	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	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 two functions.	Calculus Vocabulary
Definition--Calculus Topics--Left-Hand Limit	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	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	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	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	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	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	Definition--Calculus Topics--Matrix Representations of Vectors A vector quantity can be represented by a matrix.	Calculus Vocabulary
Definition--Calculus Topics--Mean Value Theorem	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	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	Definition--Calculus Topics--Odd Function A function whose graph has point symmetry about the origin.	Calculus Vocabulary
Definition--Calculus Topics--One-Sided Limits	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	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	Definition--Calculus Topics--Piecewise Function A function made up of separate functions, each with its own interval.	Calculus Vocabulary
Definition--Calculus Topics--Power Function	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	Definition--Calculus Topics--Power Rule The process of finding the derivative of a power function.	Calculus Vocabulary
Definition--Calculus Topics--Quotient Rule	Definition--Calculus Topics--Quotient Rule The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).	Calculus Vocabulary

These are the resources that support this Florida Standard.

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.

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.

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).

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.

Definition--Calculus Topics--Integrand In the process of integration, it is the function that is being integrated.

Definition--Calculus Topics--Integration by Substitution Replacing the integrand with a simpler expression to make the process of integration easier.

Definition--Calculus Topics--Intermediate Value Theorem For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

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.

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.

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.

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.

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.

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.

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.

Definition--Calculus Topics--Matrix Representations of Vectors A vector quantity can be represented by a matrix.

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.

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.

Definition--Calculus Topics--Odd Function A function whose graph has point symmetry about the origin.

Definition--Calculus Topics--One-Sided Limits Restricting the limit of a function for values approaching the limiting value from one side.

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.

Definition--Calculus Topics--Piecewise Function A function made up of separate functions, each with its own interval.

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.

Definition--Calculus Topics--Power Rule The process of finding the derivative of a power function.

Definition--Calculus Topics--Quotient Rule The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

About Media4Math

Our Mission

About Media4Math Library

About Media4Math Classroom

The Media4Math Bundle

Partnering with Media4Math

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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.

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.

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).

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.

Definition--Calculus Topics--Integrand
In the process of integration, it is the function that is being integrated.

Definition--Calculus Topics--Integration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier.

Definition--Calculus Topics--Intermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

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.

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.

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.

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.

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.

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.

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.

Definition--Calculus Topics--Matrix Representations of Vectors
A vector quantity can be represented by a matrix.

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.

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.

Definition--Calculus Topics--Odd Function
A function whose graph has point symmetry about the origin.

Definition--Calculus Topics--One-Sided Limits
Restricting the limit of a function for values approaching the limiting value from one side.

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.

Definition--Calculus Topics--Piecewise Function
A function made up of separate functions, each with its own interval.

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.

Definition--Calculus Topics--Power Rule
The process of finding the derivative of a power function.

Definition--Calculus Topics--Quotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).