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eBook
Libre Text

Libre Text: The Power Rule

For Students 9th - 10th
Good overall site defining the power rule and giving several examples to study.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Instantaneous Rates of Change

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
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Activity
Harvey Mudd College

Harvey Mudd College: Parametric Equations

For Students 9th - 10th
Explanations and examples of parametric equations--in which a curve is traced out over time, sometimes doubling back on itself or crossing itself.
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Activity
Analyze Math

Analyze Math: Linear Approximation of Functions

For Students 9th - 10th
Students learn about linear approximation. The tutorial consists of examples with detailed solutions.
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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.
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Handout
Wolfram Research

Wolfram Science World: Brownian Motion

For Students 9th - 10th
This site from ScienceWorld gives a brief description of Brownian motion. It also goes on with a detailed series of formula derivations utilizing calculus. Links to related topics and definitions are given.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F If.6 Mathemafish Population

For Teachers 9th - 10th Standards
For this task, students are presented with a table and a graph and are asked to summarize the data and report the findings of a project by the Environmental Protection Agency to contain the effects of an invasive species on a fish...
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Activity
Texas Instruments

Texas Instruments: Least Squares Data Fitting

For Teachers 9th - 10th
This activity will allow the student to generate an equation from data points based on minimizing the sum of squares of the vertical distances from each point.
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Activity
Texas Instruments

Texas Instruments: Optimization

For Teachers 9th - 10th
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
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Activity
Texas Instruments

Texas Instruments: Finding Extreme Values

For Teachers 9th - 10th
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
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Website
Other

Physics of Sound/image Analysis of Sound Pressure

For Students 9th - 10th
A discussion on how to locate the sound image based upon the incident and reflected pulse of sound heard at a given location. For those looking for a challenge, follow the links to view derivations of wave equations for sound (uses...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]

For Students 9th - 10th
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]

For Students 9th - 10th
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Direction and Vectors 1 [Pdf]

For Students 9th - 10th Standards
Students are given the level curve of a function and are asked to sketch the vector showing the greatest rate of increase of the function. The practice exercise is available in PDF format.
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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...
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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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Activity
Analyze Math

Analyze Math: Vertical Tangent

For Students 9th - 10th
The interactive applet explores the vertical tangent.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Cross Products

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lessons students will be defining and calculating cross products and normal vectors. Students examine guided notes, review guided practice, watch...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Rational Function Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Discrete and Continuous Functions

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between discrete and non-discrete functions. Students examine guided notes, review guided practice, watch instructional...