Thumbnail Image | Title | Description | Curriculum Nodes |
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Desmos Algebra Activities |
This is a collection of graphing calculator activities, videos, and tutorials that cover a wide range of algebra topics. Some of these activities include companion worksheets. | Special Functions, Slope-Intercept Form, Quadratic Equations and Functions, Graphs of Linear Functions, Radical Functions and Equations, Trigonometric Functions, Standard Form, Applications of Linear Functions, Point-Slope Form, Applications of Exponential and Logarithmic Functions, Graphs of Exponential and Logarithmic Functions, Graphs of Quadratic Functions, Rational Functions and Equations, Slope and Proportions | |
Math Definitions Collection: Rationals and Radicals |
This collection aggregates all the definition image cards around the topic of Rationals and Radicals terms and vocabulary. There are a total of 17 terms. | Rational Functions and Equations, Radical Expressions, Radical Functions and Equations and Rational Expressions | |
Math Video Collection: Texas Instruments Tutorial Videos |
This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources. | Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, Slope-Intercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula | |
Closed Captioned Video: Exp Radical Functions |
Closed Captioned Video: Exp Radical Functions
In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a radical function. |
Radical Functions and Equations | |
Definition--Calculus Topics--Absolute Maximum |
Definition--Calculus Topics--Absolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. |
Calculus Vocabulary | |
Definition--Calculus Topics--Absolute Minimum |
Definition--Calculus Topics--Absolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. |
Calculus Vocabulary | |
Definition--Calculus Topics--Absolute Value Function |
Definition--Calculus Topics--Absolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. |
Calculus Vocabulary | |
Definition--Calculus Topics--Acceleration |
Definition--Calculus Topics--Acceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. |
Calculus Vocabulary | |
Definition--Calculus Topics--Antiderivative |
Definition--Calculus Topics--Antiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). |
Calculus Vocabulary | |
Definition--Calculus Topics--Area Beneath a Curve |
Definition--Calculus Topics--Area Beneath a Curve
For a definite integral, it is the numerical result of the integration. |
Calculus Vocabulary | |
Definition--Calculus Topics--Asymptote |
Definition--Calculus Topics--Asymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. |
Calculus Vocabulary | |
Definition--Calculus Topics--Average Rates of Change |
Definition--Calculus Topics--Average Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. |
Calculus Vocabulary | |
Definition--Calculus Topics--Ceiling Function |
Definition--Calculus Topics--Ceiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
Definition--Calculus Topics--Chain Rule |
Definition--Calculus Topics--Chain Rule
The process for finding the derivative of a composite function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Change of Variables |
Definition--Calculus Topics--Change of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. |
Calculus Vocabulary | |
Definition--Calculus Topics--Composite Function |
Definition--Calculus Topics--Composite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). |
Calculus Vocabulary | |
Definition--Calculus Topics--Concave Function |
Definition--Calculus Topics--Concave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
Definition--Calculus Topics--Continuous Functions |
Definition--Calculus Topics--Continuous Functions
A function is continuous if it has no gaps along the domain of the function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Convex Function |
Definition--Calculus Topics--Convex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
Definition--Calculus Topics--Definite Integral |
Definition--Calculus Topics--Definite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. |
Calculus Vocabulary | |
Definition--Calculus Topics--Delta x |
Definition--Calculus Topics--Delta x
The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Delta y |
Definition--Calculus Topics--Delta y
The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative |
Definition--Calculus Topics--Derivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Composite Function |
Definition--Calculus Topics--Derivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Linear Function |
Definition--Calculus Topics--Derivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Logarithmic Function |
Definition--Calculus Topics--Derivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Polynomial Function |
Definition--Calculus Topics--Derivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n - 1. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Quadratic Function |
Definition--Calculus Topics--Derivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Rational Function |
Definition--Calculus Topics--Derivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of a Trig Function |
Definition--Calculus Topics--Derivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of an Exponential Function |
Definition--Calculus Topics--Derivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative of the Inverse of a Trig Function |
Definition--Calculus Topics--Derivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Differentiable Function |
Definition--Calculus Topics--Differentiable Function
A function is differentiable if a derivative can be found at each point in its domain. |
Calculus Vocabulary | |
Definition--Calculus Topics--Differential Equation |
Definition--Calculus Topics--Differential Equation
An equation that includes the derivative of a function f(x) and the variable x. |
Calculus Vocabulary | |
Definition--Calculus Topics--Differentiation |
Definition--Calculus Topics--Differentiation
The process of finding the derivative of a function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Discontinuous Function |
Definition--Calculus Topics--Discontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal. |
Calculus Vocabulary | |
Definition--Calculus Topics--Discrete Function |
Definition--Calculus Topics--Discrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. |
Calculus Vocabulary | |
Definition--Calculus Topics--Displacement Function |
Definition--Calculus Topics--Displacement Function
A distance-vs.-time function used to find the distance an object has moved from a starting point. |
Calculus Vocabulary | |
Definition--Calculus Topics--End Behavior |
Definition--Calculus Topics--End Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. |
Calculus Vocabulary | |
Definition--Calculus Topics--Even Function |
Definition--Calculus Topics--Even Function
A function whose graph is symmetric about the y-axis. |
Calculus Vocabulary | |
Definition--Calculus Topics--Explicit Function |
Definition--Calculus Topics--Explicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation. |
Calculus Vocabulary | |
Definition--Calculus Topics--Extreme Value Theorem |
Definition--Calculus Topics--Extreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. |
Calculus Vocabulary | |
Definition--Calculus Topics--First Derivative |
Definition--Calculus Topics--First Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). |
Calculus Vocabulary | |
Definition--Calculus Topics--Floor Function |
Definition--Calculus Topics--Floor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
Definition--Calculus Topics--Fundamental Theorem of Calculus |
Definition--Calculus Topics--Fundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. |
Calculus Vocabulary | |
Definition--Calculus Topics--Hooke's Law |
Definition--Calculus Topics--Hooke's Law
A second-order differential equation that is used to model simple harmonic motion using a trigonometric function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Horizontal Asymptote |
Definition--Calculus Topics--Horizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. |
Calculus Vocabulary | |
Definition--Calculus Topics--Implicit Differentiation |
Definition--Calculus Topics--Implicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x. |
Calculus Vocabulary | |
Definition--Calculus Topics--Implicit Function |
Definition--Calculus Topics--Implicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio |
Calculus Vocabulary | |
Definition--Calculus Topics--Indefinite Integral |
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 |