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.
Handout
Paul Dawkins

Paul's Online Notes: Derivatives of Inverse Trig Functions

For Students 10th - 12th
Online notes with examples and solutions.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: The Derivative

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the concept of derivative from the definition. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
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Khan Academy

Khan Academy: Carboxylic Acid Derivatives Questions

For Students 9th - 10th
Practice for the MCAT with these questions about carboxylic acid derivatives.
Website
Purple Math

Purplemath: Completing the Square: Deriving the Quadratic Formula

For Students 9th - 10th Standards
View examples on completing the square and deriving the quadratic formula. The key to solving by completing the square is "practice, practice, practice". By so doing, the process will become more "automatic", and you'll be much more...
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.
Activity
Robert Schenk, PhD

Derived Demand

For Students 9th - 10th
A description, examples, and graphs on the subject of "derived demand" are provided.
Interactive
University of Manchester

Children's University of Manchester: Talking Textiles: How Are Textiles Made?

For Students 2nd - 4th
Interactive exploration of textiles and cloth derived from plants, animals, and petrochemicals.
Article
The Balance

The Balance: An Introduction to the Financial Markets

For Students 9th - 10th
This article explains what the different types of financial markets are, including stocks, bonds, commodities, and derivatives, as well as what the functions of financial markets are.
Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Handout
Paul Dawkins

Paul's Online Notes: Business Applications

For Students 10th - 12th
Online notes with examples and solutions.
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.
Unit Plan
OpenStax

Open Stax: Satellites and Kepler's Laws: An Argument for Simplicity

For Students 11th - 12th
In the following interactive students will begin to understand the laws of Kepler regarding planetary motion and derive the third law of Kepler for circular orbits. They will also discuss the Ptolemaic model of the universe.
Activity
Chemistry Collective

Chem Collective: Acclimatization on Mt. Everest

For Students 9th - 10th
To get to the top of the mountain before winter arrives, students must derive an equation that relates the necessary amount of hemoglobin to the partial pressure of oxygen at the current and next camp.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Quadratic Equations Part Ii

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations using complete the square then use that to derive the quadratic formula.
Unit Plan
CK-12 Foundation

Ck 12: Total Internal Reflection

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Students learn about total internal reflection. More specifically, they will learn what the critical angle is, how it is derived and how to solve for it in real life...
Unit Plan
Other

Derivation and Classification of Groups

For Students 9th - 10th
This gives examples of classification of the differences between rotation and translation.
Activity
Other

University of Western Australia: Blue Histology

For Students 9th - 10th
An excellent, in-depth examination of the integumentary system and its components. Includes many color microscopic images of these structures and more.
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Texas Education Agency

Texas Gateway: Ch. 4: Labor and Financial Markets: Critical Thinking Questions

For Students 11th - 12th
This section provides a list of seven critical thinking study questions covering information from Chapter 4: Labor and Financial Markets.
Article
Biotechnology Institute

Biotechnology Institute: Your World: A World of Change [Pdf]

For Students 9th - 10th
The introduction of genetically modified organisms (animals, microbes, and plants) into agriculture has been accompanied by controversies over their potential impact on human health, the environment, and farming systems. Management of...
Unit Plan
Cuemath

Cuemath: Integration

For Students 9th - 10th
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
eBook
Robert Schenk, PhD

Cyber Economics: Marginal Productivity and Income

For Students 9th - 10th
Site provides a good description of the concept of "marginal productivity" along with other related terms such as marginal costs, marginal revenue product, and derived demand.
Handout
Towson University

Towson University: Ideal and Real Gas Laws

For Students 9th - 10th
The ideal gas law is stated and explained at this site from the Towson University. It is then used to derive the other gas laws (Charles, Boyle's, Gay-Lussac's, Avogadro's, combined, etc.). Other gas law relationships are discussed....
Lesson Plan
Better Lesson

Better Lesson: Geometric Sequences and Series

For Teachers 10th - 12th Standards
Young scholars will be able to make use of structure on their way to deriving a formula for the sum of a geometric series. They will also gain more experience in finding the nth term of a sequence/series. Includes short video. [1:15]

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