Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging lesson plan builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from...
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...
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
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: 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.
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
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 and...
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...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Illustrative Mathematics
As the Wheel Turns
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 5
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and spheres.
Balanced Assessment
Function or Not?
Is it possible for an equation to be a function and not a function at the same time? By completing a short assessment, young mathematicians answer this question. Class members provide an explanation on how an equation represents a...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
Teach Engineering
Club Function
Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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...
Curated OER
Interactivate: Introduction to Functions
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
Writing a Function Rule
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided. The one page worksheet contains four multiple choice problems. Answers are not...
Houghton Mifflin Harcourt
Write Function Rules Using Two Variables
Fabulous functions are the focus of this handout. Middle school math pupils complete input/output tables and answer questions about the values. Each of the three equations contains two variables. This simple instructional activity would...
Curated OER
Function Tables
In this function rules worksheet, students complete each function table or rule. Students complete the input and output sections for each table using the given numbers. Students complete two test prep questions.