CK-12 Foundation
Vertical Translations: Translating a Square Root Function
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
CK-12 Foundation
Analyzing the Graphs of Functions: Analyzing a Rational Function
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Scholastic
Study Jams! Function Tables
Each week Mia saves a certain portion of the earnings from her babysitting job. Help her figure out how much she can save this week with a step-by-step presentation on function tables. Given a set of inputs and outputs, the process for...
CK-12 Foundation
Continuity of a Function: Continuity
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
Shodor Education Foundation
Multi-Function Data Flyer
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
Shodor Education Foundation
Linear Function Machine
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
CK-12 Foundation
Inverse Functions: Definition of Inverse Functions
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
CK-12 Foundation
Graphs of Functions Based on Rules: Plotting Profits
Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...
CK-12 Foundation
Linear and Non-Linear Function Distinction: Domain and Range of a Function
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
CK-12 Foundation
Function Rules for Input-Output Tables: Whats My Rule?
What's the rule that makes it true? A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
CK-12 Foundation
Function Rules based on Graphs: Making Money in the Hat Business
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
CK-12 Foundation
Existence: One-to-One Functions and Inverses
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
CK-12 Foundation
Inverses by Mapping: Inverse Functions
Map your way to successfully understanding inverse functions. Pupils use an interactive map to investigate how changes in the graph of a function affect the graph of its inverse. The results of the activity lead to the conclusion that...
CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
PHET
Function Builder
Build confidence about functions with the function builder. Pupils learn about functions and transformations using an interactive. A function machine transforms pictures, numbers, and equations based on a function rule. A mystery...
PHET
Function Builder: Basics
Learn about functions using the function builder app. A fun online interactive has the class conduct an investigation using a function machine. Inputs are pieces of art, and output are transformations of these pieces of art.
CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
CK-12 Foundation
Identify Functions and the Vertical Line Test: The Vertical Line Test
There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.
Shodor Education Foundation
Function Machine
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
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