In this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...

For this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...

In this calculus review worksheet, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.

  Students test for relative extrema.  In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.  

Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.

In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.

In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.

Students examine where trigonometry exists outside the classroom. In this trigonometry lesson plan, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.

Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...

Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...

In this interval activity, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page activity...

In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.

Students define the different methods used for optimizing a particular element of a problem. In this optimization problem instructional activity, students optimize appropriate details of a problem using data collection, algebra,...

In this calculus learning exercise, learners determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative...

In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...

In this calculus instructional activity, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.

Learners make mathematical argument using the concept of Limit. For this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.

In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...

Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...

High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.

In this algebra instructional activity, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5...

Students solve several differential equations. In this calculus activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.

Students listen to a lecture about absolute maximum and absolute minimum. In this maximum and minimum lesson students use steps to find points and practice with an example.