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.

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...

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.

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...

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.

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...

Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...

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...

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...

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.

Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...

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...

In this functions activity, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.

Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to...

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...

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...

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...

How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...

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...

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...

Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...

In this math worksheet, students answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.

For this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.