Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Tangent Lines and the Derivative

For Students 9th - 10th
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
Activity
Wolfram Research

Wolfram Math World: Derivative of a Function

For Students 9th - 10th
Nice comprehensive site dealing with the derivative. The site contains derivatives of basic fundamental functions. The site goes on to give unexplained rules when taking simple derivatives. These rules have links for further explanations.
Activity
Analyze Math

Analyze Math: Derivative of Sin (X)

For Students 9th - 10th
The interactive tutorial explores the graph of the derivative of sin (x).
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.
Activity
Texas Instruments

Texas Instruments: Relation Between Graph of a Function and Graph of Derivative

For Teachers 9th - 10th Standards
In this Derive activity, students relate the behavior of the graph of an exponential function to the signs of its first two derivatives. They realize that if the signs of the first two derivatives over a given interval are known, a...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Derivatives

For Students 9th - 10th
Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...
Activity
Texas Instruments

Texas Instruments: Investigating the Derivatives of Some Common Functions

For Teachers 9th - 10th
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...
Activity
Jim Loy

Derivatives

For Students 9th - 10th
This site explains the derivative as the tangent at a point on a curve. The concept of finding the tangent is discussed; links are provided for the concept of taking a limit.
Activity
Texas Instruments

Texas Instruments: Graph of Functions and Their Derivatives

For Teachers 9th - 10th Standards
In this activity, students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the...
Activity
Texas Instruments

Texas Instruments: The Definition of Derivative

For Teachers 9th - 10th
Students can use the graphing calculator to demonstrate the use of the difference quotient as the definition of the derivative.
Activity
Texas Instruments

Texas Instruments: Application of the Derivative

For Teachers 9th - 10th
In this activity, students learn and explore two common applications of the derivative: optimization and related rate.
Activity
Texas Instruments

Texas Instruments: An Introduction to Derive

For Teachers 9th - 10th
In this activity, students use the Derive software to algebraically solve expressions, find factors, study binomial coefficients, and investigate derivatives and integrals.
Activity
Texas Instruments

Texas Instruments: Derivatives (Trig Functions)

For Teachers 9th - 10th
This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quotient Rule and Higher Derivatives

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
Activity
Texas Instruments

Texas Instruments: Derivatives

For Teachers 9th - 10th
This is a set of problems involving the concepts of derivatives. The problems are similar to those encountered during the second quarter of a typical calculus course.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Derivatives of Sums and Differences

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of binomials (sums and differences), and multiples of binomials (Product Rule). Students examine guided notes,...
Activity
Analyze Math

Analyze Math: Derivative of Inverse Function

For Students 9th - 10th Standards
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Activity
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
Unknown Type
University of Vienna (Austria)

University of Vienna: The Big Derivative Puzzle

For Students 9th - 10th
Given a set of four graphs, match each graph with the graph of it's derivative. This exercise helps to visualize the relationship between a graph and it's derivative, and over 50 graphs are available (although only four are used at one...
Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Derivatives

For Students 9th - 10th
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Handout
Wolfram Research

Wolfram Math World: Second Derivative Test

For Students 9th - 10th
MathWorld.com has definitions, formulas, and links to relevant sites for derivatives.
Unknown Type
University of Vienna (Austria)

University of Vienna: Definition of the Derivative

For Students 9th - 10th
A series of multiple choice questions are given, each dealing with theoretical constructs of the derivative. These questions focus much more on concepts than mathematical manipulation. At the conclusion of the interactive quiz, the site...
Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives

For Students 9th - 10th
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.
Activity
Harvey Mudd College

Harvey Mudd College: First Derivative Maxima and Minima

For Students 9th - 10th
Shows how to find absolute extrema using the first derivative test.

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