Handout
Other

Matheno: How to Solve Optimization Problems in Calculus

For Students 10th - 12th
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Activity
Texas Instruments

Texas Instruments: Differential Calculus

For Teachers 9th - 10th
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.
Lesson Plan
Other

Stewart Resources Centre: Optimization Problems in Calculus [Pdf]

For Teachers 9th - 10th
This is a tenth grade calculus unit on optimization problems.
Activity
Texas Instruments

Texas Instruments: Optimization

For Teachers 9th - 10th
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
Activity
Texas Instruments

Texas Instruments: Optimization

For Teachers 9th - 10th
This activity illustrates how the derivative is used to find a solution to an optimization problem.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Applications of Maxima and Minima

For Students 9th - 10th
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Derivatives

For Students 9th - 10th
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Study Guide
Department of Defense

Do Dea: Optimization Business Applications

For Students 9th - 10th
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!
Study Guide
Department of Defense

Do Dea: Optimization Examples

For Students 9th - 10th
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Study Guide
Department of Defense

Do Dea: Optimization the Basics

For Students 9th - 10th
In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Solving 2 X 2 Games

For Students 9th - 10th
Students examine the optimal strategy to solve a 2 x 2 game. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Problemas De Optimizacion

For Students 9th - 10th
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Activity
BBC

Bbc: Differentiations

For Students 9th - 10th
This site presents a tutorial on the topic of differentiation. Points of focus include rules for differentiation, tangents to curves, derivatives, increasing and decreasing functions, and optimization. Examples and a practice test are...
Handout
Wikimedia

Wikipedia: Gottfried Leibniz

For Students 9th - 10th
Wikipedia offers detailed biographical information on Gottfried Leibniz (1646-1716 CE), who coined the mathematical term, "Function."

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