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.

It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...

The middle of the data is important, but what about the rest of it? The lesson shows learners the importance of the range, quartiles, and extreme values. Pupils practice finding each of these values from given data sets.

For this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...

Twelfth graders solve problems by finding the maximum and minimum. In this calculus lesson, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real world application...

Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...

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...

Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...

Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...

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

Students analyze graphs for specific properties. In this algebra lesson plan, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.

Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...

In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.

In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.

For this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...

Looking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

High schoolers examine the greenhouse effect, as they determine how moisture in the air affects the diurnal temperature range. Their investigation help them to explain different climatological regimes of both the Southern Great Plains...

Who pays more for haircuts, men or women? Given quartile values, learners construct box and whiskers plots and interpret the results. They compare the mean and median, and discuss which is more appropriate under particular conditions....

Mini-meteorologists visit the National Climate Data Center online to gather past weather information for the area that they live in. They consider how the weather patterns may have influenced the architecture of the area. Finally, they...

Learners determine how much moisture in the air affects the diurnal temperature range. They investigate to determine the different climatological regimes of both the Southern Plains and the world. and greenhouse gases effect the earth's...

This site from Mathworld.com defines the minimum of a function and set.

With this site one may understand how to test a point in a function for a relative minimum, maximum, saddle point, or none of these, by taking derivatives of the function. Explains and performs what is known as the "Extremum Test."