Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...

In this tables and linear graphs worksheet, students examine linear functions.  They solve equations and graph them on a coordinate plane.  This four-page worksheet contains 8 multi-step problems.  Answers are provided on...

In this function rules worksheet, 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.

Pupils experience math functions as they practice their addition and subtraction skills, and fill in each table based on a given rule. There are two columns in each of the four tables. The in column is already completed and...

Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...

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...

Introduce your young math scholars to functions. Because the answer is explained at the bottom of the page, consider projecting this and covering it up until you hear the class responses. They observe a rule (in this case to add 15) and...

The first 12 problems on this practice page require prealgebra participants to convert units of length. In the next eight problems, they compare lengths using inequality symbols. There are two functions tables to complete and then two...

Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...

In this present perfect continuous verbs worksheet, students fill in the blanks in 20 sentences with 1 of the verbs ending in -ing listed in the word bank. Students also write their own sentences using have or has and present continuous...

In this tables and relations worksheet, 9th graders solve and complete 13 various types of problems that include graphing. First, they solve each equation for the given variable. Then, students determine the ordered pairs that are...

In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.

In this math worksheet, students graph the equations through recognizing the position of the intercepts. They also create a function table for each.

Upper elementary or middle schoolers will explore non-linear functions, graphing, and the curve of best fit through real-life data collection and trial analysis. They explore the concept of half-life and radioactive decay using M&Ms,...

Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition...

How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...

What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...

The University of the State of New York has designed a series of exams to be given to high schoolers. This chemistry exam is one of the most comprehensive and well-written that you will ever find. It consists of 84 questions in a variety...

Here is a copy of a past national challenge exam that you can use in your general chemistry course as a unit or semester review. Sixty multiple-choice questions query learners on properties of matter, stoichiometry, reactions, and...

For this graphs of functions worksheet, students use a table of information on packages of gum/total pieces per package to solve a set of 6 word problems.

A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...

For this math function chart worksheet, students complete a table in which ten numbers (two digit, below 20) are listed. Students apply the rule (subtracting 7) to the numbers and write their answers.

In this Algebra II activity, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior.  students use that information to transform the graphs of root...

In this patterns in tables practice worksheet, students sharpen their problem solving skills as they solve 6 story problems that require them to write functions.