Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...

Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...

An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...

In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.

In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the...

In this calculus lesson, young scholars review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.

After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...

Directions in this worksheet direct the students to use any method they can to solve the equations, which are all differential equations. This activity could be used as a homework assignment, a class project, or a quiz.

Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students...

In this Pre-calculus worksheet, students determine the sum of the indicated number of terms of the arithmetic or geometric series.  The one page worksheet contains fifteen problems.  Answers are provided. 

In this electrical worksheet, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry....

In this calculus learning exercise, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.

In this Algebra II/Pre-Calculus worksheet, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box.  Additionally, students determine the acceptable size for boxes to meet parcel service...

What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...

Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...

For this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves.  The forty-two page worksheet contains one hundred problems. ...

In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.

In this Pre-Calculus worksheet, students investigate the process of formulating, solving, and interpreting mathematical models.  The ten page worksheet contains explanation and four solved examples to serve as a guide for the...

In this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.

In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...

In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.

If your test scores go up five points every problem you complete on this worksheet, is that an arithmetic or geometric sequence? Learners practice through four straightforward sequence questions and then finish with six word problems and...

In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.