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...

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.

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

In this functions worksheet, 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.

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.

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

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...

Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.

Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...

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.

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...

In this function rules activity, students solve the problems by finding the output numbers using the given inputs in the function table. Students solve six problems that contain one variable.

Fifth graders explore mathematics functions. For this functions lesson, 5th graders explore 1 and 2-step functions involving addition, subtraction, multiplication, and division. Students also practice solving problems that their...

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...

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,...

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...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

When one number goes in, another comes out. Scholars are introduced to math functions as they multiply, subtract, and divide numbers to get new ones. There are three functions and tables of numbers here; pupils apply the rule to each...

In this algebra worksheet, students complete 4 function tables. Students plug in the different values for x to complete the y sides of the charts.

Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.

In this function tables worksheet, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine the input...

In this function tables, money worksheet, students examine 2 different function tables, where they are given input information. Students determine the rule of the function table, then calculate the missing output values. The first table...