CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
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...
CK-12 Foundation
Input-Output Tables for Function Rules
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.
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 for Input-Output Tables: Tickets at an Arcade
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...
CK-12 Foundation
Input-Output Tables for Function Rules
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.
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine!
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.
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 1
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.
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
Curated OER
Making Connections
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
National Nanotechnology Infrastructure Network
Lines on Paper - Laser Box
See what you cannot see by getting a little creative. An intriguing lesson has learners use lasers to explore X-ray diffraction. Given a box with unknown structures, they shine a laser through the box and interpret the results....
Curated OER
How are we Related?
Students differentiate functions based on their domain and range. In this algebra lesson, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making up a function.
EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
Curated OER
Mine Shaft Grade 8 Slope
Eighth graders investigate slopes using real life scenario. In this algebra lesson, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.