Activity
University of St. Andrews (UK)

University of St. Andrews: A History of the Calculus

For Students 9th - 10th
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
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.
Handout
Science Struck

Science Struck: Father of Calculus Newton or Leibniz?

For Students 9th - 10th
Discusses the continuing debate over who was the founder of calculus, Sir Isaac Newton or Gottfried Wilhelm von Leibniz.
Activity
Other

Math Mistakes: Common Calculus Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Activity
Mathematics Archives

Math Archives: Visual Calculus: Even and Odd Functions

For Students 9th - 10th Standards
A detailed definition of even and odd functions begins an in-depth look at how these functions are composed and evaluated in the study of math. It goes from from basic algebra through calculus. Interactive LiveMath Notebooks are provided...
Unit Plan
CK-12 Foundation

Ck 12: Calculus: Volume by Cross Section

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Exponential Functions and Models

For Students 9th - 10th Standards
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Review Exercises: Applications of the Derivative

For Students 9th - 10th
Students review applications of derivatives. The resource consists of review exercises on the calculus concepts.
Activity
Other

Old Dominion University: Calculus Animations W Mathcad

For Students 9th - 10th
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
Activity
Other

Karl's Calculus Tutor: Basic Algebra Concepts

For Students 9th - 10th Standards
This site is a comprehensive review of algebraic basics including equations, the distributive law, the equation of a straight line, quadratic equations, polynomials, the difference of squares, the Pythagorean distance formula, and...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Inverse Functions

For Students 9th - 10th Standards
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
eBook
University of California

Ucla: Speed and Velocity

For Students 9th - 10th
Discusses the meaning of velocity in terms of a graphical representation. Calculus-based discussion. Good graphics.
Website
Mathematics Archives

Math Archives: Lessons, Tutorials and Lecture Notes

For Students 9th - 10th
This site has links to review pages on many high school and college math topics including Calculus.
Handout
Florida State University

Florida State University: Science, Optics & You: Sir Isaac Newton

For Students 9th - 10th
Biography of Sir Isaac Newton (1642-1727), a scientist whose impact is felt in many disciplines today. His laws of motion are integral to basic physics, and he co-invented calculus.
Study Guide
Department of Defense

Do Dea: Resistance Proportional to Velocity

For Students 11th - 12th
Resistance to forward movement will be proportional to the velocity of the object. That relationship can be expressed by an equation that you can learn about on this page. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Growth and Decay

For Students 9th - 10th
Practice problems that each illustrate a different use of the Law of Exponential Change. Examples and explanations are provided. Great review for the AP Calculus test!
Activity
Oregon State University

Calculus Quest: Power Functions

For Students 9th - 10th
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Creating a Family Trust

For Students 9th - 10th Standards
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Matrix Addition and Scalar Multiplication

For Students 9th - 10th Standards
Students learn about matrix addition and subtraction, and scalar multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Activity
Other

Montana State University: Analyzing a Periodic Function

For Students 9th - 10th Standards
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Unit Plan
Khan Academy

Khan Academy: Average Value of a Function Over a Closed Interval

For Students 9th - 10th Standards
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
Handout
Other

Karl's Calculus Tutor: The Difference of Squares

For Students 9th - 10th
This site provides a general overview of the special case of factoring known as the difference of squares. This procedure highlights rationalizing the denominator.
Handout
University of St. Andrews (UK)

University of St. Andrews: George Boole

For Students 9th - 10th
This University of St. Andrews page offers an excellent biography on George Boole, an English mathematician and linguist (1815-1864.) Discusses his life and his contributions to these fields.

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