Handout
Wikimedia

Wikipedia: Differential Equation

For Students 9th - 10th
An encyclopedia article on differential equations discusses ordinary differential equations, how differential equations are solved, and uses of differential equations. The site has many links to clarify topics.
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
Lawrence Hall of Science

The Math Page: An Approach to Calculus: The Chain Rule

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the chain rule for derivatives of composite functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Completing the Square

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
Activity
Wolfram Research

Wolfram Math World: Quadratic Equation

For Students 9th - 10th Standards
This MathWorld site shows how to derive the quadratic formula.
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....
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates

For Students 9th - 10th
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Quadratic Formula

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers deriving the quadratic formula and using it to solve any quadratic equation.
Activity
Texas Instruments

Texas Instruments: Hot Coffee

For Teachers 9th - 10th
This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")
Activity
Math Medics

S.o.s. Math: Quadratic Equations Quadratic Formula

For Students 9th - 10th Standards
Here you can find a general overview of the quadratic formula, complete with a full breakdown of how to come up with the quadratic formula with a quadratic equation, as well as am example of using the quadratic formula to solve a...
Article
Other

American Mathematical Society: Bin Packing

For Students 10th - 12th
Bin packing is a very appealing mathematical model. This article discusses several bin packing problems and the various methods for solving them.
Handout
Cuemath

Cuemath: Integral

For Students 9th - 10th
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
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.
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.
Handout
Purple Math

Purplemath: Quadratic Word Problems: Projectile Motion

For Students 9th - 10th
Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...
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....
Activity
Help Algebra

Help algebra.com: Quadratic Formula

For Students 9th - 10th Standards
This presentation of the quadratic equation includes a discussion on the discriminant and a derivation of the quadratic formula.
Activity
Interactive Mathematics

Interactive Mathematics: Graphical Solution of Non Linear Systems

For Students 9th - 10th Standards
Using the graphing method, several systems of nonlinear equations are solved. Follow each example step by step to see how solutions are derived.
Activity
Other

Analytic Methods for Exact/linear Differential Equations

For Students 9th - 10th
Shows how to solve both exact and linear differential equations.
Handout
Shodor Education Foundation

Shodor: Gas Laws

For Students 9th - 10th
An excellent site for understanding and applying the ideal gas law. The combined and other variations of the ideal gas law are derived. There are sample application problems with an abbreviated method of solving the problems.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Phylogenetics Problems

For Teachers 11th - 12th
A lesson plan where students solve problems by using cladistics to determine phylogenies. Problems require that students determine which characteristics are ancestral or derived by looking at both dinosaurs' remains and primate skulls....
Activity
TeachEngineering

Teach Engineering: Putting It All Together: Peripheral Vision

For Teachers 11th - 12th
In this culminating activity of the unit, students bring together everything they've learned in order to write the code to solve the Grand Challenge. The code solution takes two images captured by robots and combines them to create an...
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...