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Article
Other

Science Direct: New Lower Bounds for the Three Dimensional Finite Bin Packing

For Students 10th - 12th
This article analyzes the three-dimensional finite bin packing problem (3BP). The 3BP finds many practical applications as it is a simplified version of many real-world problems, e.g. container and pallet loading.
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Article
Other

Science Direct: Recent Advances on Two Dimensional Bin Packing Problems

For Students 10th - 12th
This paper surveys recent advances obtained for the two-dimensional bin packing problem, with special emphasis on exact algorithms and effective heuristic and metaheuristic approaches.
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Interactive
Shodor Education Foundation

Shodor Interactivate: Derivate

For Students 9th - 10th
View the graph and the equation of the line tangent to any function at any point on the function.
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Handout
Math Open Reference

Math Open Reference: Derivative Function

For Students 9th - 10th
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Derivate

For Teachers 9th - 10th
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Polynomials

For Students 9th - 10th
Several formulas for derivatives are presented, including formulas for constants, powers, products, and sums. Exercises are included that allow you to work the problem before seeing the answer.
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Interactive
Interactive Mathematics

Interactive Mathematics: Differentiation

For Students 9th - 10th
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
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Activity
Interactive Mathematics

Interactive Mathematics: Applications of Derivatives

For Students 9th - 10th
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Exponential Functions

For Students 9th - 10th
The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.
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Study Guide
Department of Defense

Do Dea: Normal Line to a Curve

For Students 9th - 10th
The tangent to a curve is always found at a certain point along the curve. Often you will be asked to find the normal to a curve at a point. View an example on this site.
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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!
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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.
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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...
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Study Guide
Department of Defense

Do Dea: Marginal Cost, Marginal Revenue

For Students 9th - 10th
Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....
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Study Guide
Department of Defense

Do Dea: Working With Parabolic Projectile Paths

For Students 9th - 10th
Using the free-fall constants and gravity acceleration equations, we can determine many things about the position, velocity, and speed of a projectile. Here are a few examples and explanations. This is a great review for the AP Calculus...
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Study Guide
Department of Defense

Do Dea: Free Fall Constants for Earth

For Students 9th - 10th
When you work with equations that show position, velocity, acceleration of objects that are flying or falling through the air, you will be using the constant that is the acceleration due to gravity. View formulas, explanations, and...
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Products and Quotients

For Students 9th - 10th
The product and quotients rules for derivatives are presented. Several examples are provided to allow practice for applying the rules to finding the derivatives to functions.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Logarithmic Functions

For Students 9th - 10th
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.