Handout
Wolfram Research

Wolfram Math World: Calculus and Analysis

For Students 9th - 10th
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Whiteboard
ClassFlow

Class Flow: Integration by Substitution and Pattern Recognition

For Teachers 9th - 10th
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
Handout
Paul Dawkins

Paul's Online Notes: Average Function Value

For Students 9th - 10th Standards
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Activity
Harvey Mudd College

Harvey Mudd College: Special Trigonometric Integrals

For Students 9th - 10th
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
Activity
TeachEngineering

Teach Engineering: Club Function

For Teachers 7th - 9th
Students explore the definition of a function by playing an interactive game called "Club Function." The goal of the game is to be in the club! With students each assigned to be either a zebra or a rhinoceros, they group themselves...
Lesson Plan
TeachEngineering

Teach Engineering: Coordinates and the Cartesian Plane

For Teachers 7th - 9th Standards
A brief refresher on the Cartesian plane includes how points are written in (x,y) format and oriented to the axes, and which directions are positive and negative. Then students learn about what it means for a relation to be a function...
Lesson Plan
TeachEngineering

Teach Engineering: Laser Types and Uses

For Teachers 6th - 8th
Through two classroom demos, students are introduced to the basic properties of lasers through various mediums. In the Making an Electric Pickle demonstration, students see how cellular tissue is able to conduct electricity, and how this...
Activity
TeachEngineering

Teach Engineering: Form vs. Function

For Teachers 3rd - 5th
Students model and design the sound environment for a room. They analyze the sound performance of different materials that represent wallpaper, thick curtains, and sound-absorbing panels. Then, referring to the results of their analysis,...
Professional Doc
Other

California Ict Digital Literacy: Assessments and Curriculum Framework [Pdf]

For Students Pre-K - 1st
Standardized approach to information and communication technology, aligned with state and national standards. ICT literacy is the ability to use digital technology, communications tools and networks. The competencies include accessing,...
Unit Plan
TeachEngineering

Teach Engineering: Biomedical Engineering and the Human Body

For Teachers 4th - 7th
Human beings are fascinating and complex living organisms-a symphony of different functional systems working in concert. Through a 10-lesson series with hands-on activities students are introduced to seven systems of the human...
Unit Plan
TeachEngineering

Teach Engineering: Bone Mineral Density and Logarithms

For Teachers 9th - 10th
Students examine an image produced by a cabinet x-ray system to determine if it is a quality bone mineral density image. Students write in their journals about what they need to know to be able to make this judgment. Students learn about...
Lesson Plan
TeachEngineering

Teach Engineering: Locks and Dams

For Teachers 5th - 7th
Students are introduced to the structure, function and purpose of locks and dams, which involves an introduction to Pascal's law, water pressure and gravity.
Lesson Plan
TeachEngineering

Teach Engineering: Form vs. Function

For Teachers 2nd - 4th
Students take a closer look at cars and learn about some characteristics that affect their energy efficiency, including rolling resistance and the aerodynamics of shape and size. They come to see how vehicles are one example of a product...
Lesson Plan
TeachEngineering

Teach Engineering: Boxed in and Wrapped Up

For Teachers 6th - 8th
Middle schoolers find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new,...
Lesson Plan
TeachEngineering

Teach Engineering: Blood Clots, Polymers and Strokes

For Teachers 9th - 10th
Students are introduced to the circulatory system with an emphasis on the blood clotting process, including coagulation and the formation and degradation of polymers through their underlying atomic properties. They learn about the...
Lesson Plan
TeachEngineering

Teach Engineering: Food Chains and Food Webs

For Teachers 9th - 10th
This lesson, supported by the provided power point lecture (LESSON 1 and 2 Ecology Lecture Supplement ), introduces students to the concepts of food chains and food webs. Through its use, students learn the difference between producers...
Unit Plan
TeachEngineering

Teach Engineering: Implementing Biomimicry and Sustainable Design

For Teachers 9th - 10th
This unit provides students with an opportunity to study ecological relationships with an emphasis on the Sonoran Desert. Students appreciate the complexity and balance that supports the exchange of energy and matter within food webs....
Unit Plan
TeachEngineering

Teach Engineering: Sound and Light

For Teachers 3rd - 5th
The Sound and Light unit provides students with an understanding of sound and light waves through the theme of the "Sunken Treasure," a continuous story line throughout the lessons. In Lessons 1-5, students learn about sound, and in...
Interactive
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Numerical Integration Utility

For Students 9th - 10th
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.
Activity
Wolfram Research

Wolfram Math World: Integral

For Students 9th - 10th
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
Unit Plan
Khan Academy

Khan Academy: Worked Example Motion Problems With Definite Integrals

For Students 9th - 10th
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
Handout
BiologyWise

Biology Wise: Peripheral and Integral Membrane Proteins

For Students 9th - 10th
Discusses the structure of a cell membrane, the role of membrane proteins, and the differences between integral membrane proteins and peripheral membrane proteins as regards to their functions, location, and relationship with the...
eBook
Hofstra University

Hofstra University: Calculus Applied to the Real World

For Students 9th - 10th Standards
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...