Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Soda Sugar Function Table

For Students 6th - 9th Standards
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Whats My Rule?

For Students 6th - 9th Standards
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.
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
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....
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
Interactive
CK-12 Foundation

Basic Inverse Trigonometric Functions: Ladder

For Students 10th - 12th Standards
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Tickets at an Arcade

For Students 6th - 9th Standards
This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...
Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 2

For Students 6th - 9th Standards
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
Interactive
CK-12 Foundation

Parametric-Inverses: Graph Matching

For Students 11th - Higher Ed
Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...