California State University offers this student research paper that explains the emotions of hope, happiness, and optimism. Shows how these emotions are similiar and different and how biology affects feelings.

This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.

This activity illustrates how the derivative is used to find a solution to an optimization problem.

Using their knowledge of the phases of matter, the scientific method, and polymers, student teams work as if they are chemical engineers to optimize the formula for slime. Hired by the fictional company, Slime Productions, students are...

Teaching middle and high school students how to weigh constraints and criteria against various design solutions in order to select the best possible solution is an important skill necessary for engineering, as well as for life. The...

This is a tenth grade calculus unit on optimization problems.

Optimizations problems with examples, solutions, and links to further explain methods to solve.

This article discusses the design process from the concept phase to the production phase and what's involved in accomplishing this in the shortest possible time with the least cost.

Students work in engineering teams to optimize cleaner energy solutions for cooking and heating in rural China. They choose between various options for heating, cooking, hot water, and lights and other electricity, balancing between the...

Questions about democratic institutions arose in Europe as the watched the economic crisis in the United States. The conditions in Europe during the Depression era, several photos, animations, and reports, suggested assignments, and...

Linear programming is a part of a very important area of mathematics called "optimization techniques". This field of study (or at least the applied results of it) are used every day in the organization and allocation of resources. Linear...

You can apply calculus to the business world! This lesson goes through a number of business applications of derivatives and optimization that are widely used. Explanations and examples are provided. Great review for the AP Calculus test!

Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.

Take a look at the efficiency of SQL queries and how quickly they execute, and see if could they execute faster.

Students build rocket models designed for gaining the maximum height. They use a compressed air rocket launcher and 2-liter plastic bottles. They will also use an online simulator to help them make predictions and adjustments to their...

The resource is a instructional activity guide that teaches how differentiation applies in mathematical economics. Topics include differentiation, elasticity applications, and optimization applications. PowerPoint slides are included on...

Students learn about five types of renewable energy that are part of engineering solutions to help people in rural communities use less and cleaner energy for cooking and heating. Specifically, students learn about the pollution and...

This puzzle shows students the decisions involved in linking a network between houses in a muddy city. It can lead on to a discussion of minimal spanning tree algorithms for optimizing networks.

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.

This section focuses on how adolescents develop and the issues they may face as they mature. It includes information about Optimal Health and Adolescent Development Explained. Click on the highlighted words for detailed information.

This resource explains how to use 42 advanced search techniques with Google. The author directs this at people trying to increase traffic to their websites through Search Engine Optimization (SEO). The skills it teaches would be helpful...

Use this science fair project to learn how to test your soil to see if it is getting the right amount of water from the sprinklers. Project is set up beginning with an abstract, objective, and introduction, followed by a section on...

Students are introduced to two real-life problems that can be solved by using the engineering design process. For the first one, they watch a slide presentation that shows how students use the engineering design process to build an...

In this activity, students learn and explore two common applications of the derivative: optimization and related rate.