At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...

Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.

Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...

In this pre-calculus worksheet, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This worksheet would be a great warm up or fun test review.

A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...

In this Calculus worksheet, learners assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...

Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.

Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories...

Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...

Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...

In this Calculus instructional activity, students are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and...

For this math worksheet, learners practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.

In this math instructional activity, students practice using the concept of multivariable optimization. They find the maximum and minimum values of the surface z.

In this AP Calculus AB Exam worksheet, students answer sixteen multiple choice questions in preparation for the AP Exam.  These questions include many topics covered on the exam.

For this math worksheet, students write down the three equations which need to be solved in order to maximize P subject to the constraint.

In this math learning exercise, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.

In this math worksheet, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.

in this math worksheet, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.

In this calculus question instructional activity, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence,...

No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...

From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...