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.

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.

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...

Hammer away at building different types of functions. An engaging activity builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions...

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...

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...

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.

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...

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...

Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

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...

In this Algebra I/Algebra II learning exercise, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page learning exercise contains four multiple choice...

The House of Representatives has a lot of responsibility  in the United States government. But how did it all begin, and why is it the way it is now? A comprehensive lesson answers all of these questions about the US Constitution...

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.

In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.

Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...

Your pupils were studying the past continuous when you realized that they could benefit from this game! Learners roll a die and complete the sentence they land on. They will have a chance to begin and end sentences.

More than just a activity, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...

Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...

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,...

There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.

Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...

Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...