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...

Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...

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.

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.

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...

Provide your mathematicians with a way to organize their algebraic functions with this function machine handout. Each sheet provides a place to write down the rule and then either a t-table or full table to organize their input and output.

Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...

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.

Your Algebra learners will appreciate this fabulous, two-page printable. The first page has a list of numbers that lead to the learners writing an equation in a cloud that represents these numbers, and then filling in a table, and...

This activity begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...

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...

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.

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.

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.

Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency...

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...

Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...

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...

How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...

Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...

Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...

How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points. 

So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...