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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions

For Students 9th - 10th Standards
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf, a Sse Building a General Quadratic Function

For Teachers 9th - 10th
This task is a followup to the one called 'Building an explicit quadratic function.' In this one, students follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to find...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Which Function?

For Teachers 9th - 10th Standards
For this task, young scholars are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
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Handout
Math Open Reference

Math Open Reference: Sine (Sin) Function Trigonometry

For Students 9th - 10th Standards
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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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.
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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.
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Handout
Duke University

Duke University: Inverse Functions

For Students 9th - 10th Standards
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
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Activity
University of Vienna (Austria)

University of Vienna: Functions With Absolute Value Differentiable or Not?

For Students 9th - 10th
Given eight functions containing absolute value elements, choose whether each is differentiable or non-differentiable. At the conclusion of the exercises, the site returns a score which helps judge understanding of the topic.
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: The Derivative

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the concept of derivative from the definition. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
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Website
CK-12 Foundation

Ck 12: Using the First and Second Derivative Tests

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This resource gives a step by step account of how to apply knowledge from First and Second Derivative Tests to sketch graphs of functions. The following table...
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Activity
Interactive Mathematics

Interactive Mathematics: Applications of Derivatives

For Students 9th - 10th
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Logarithmic Functions

For Students 9th - 10th
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Exponential Functions

For Students 9th - 10th
The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.
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Activity
Interactive Mathematics

Interactive Mathematics: Powers of a Function

For Students 9th - 10th
The Chain Rule is presented with a detailed example. It is followed by a demonstration of how the Chain Rule is applied to power functions.
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Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Products and Quotients

For Students 9th - 10th
The product and quotients rules for derivatives are presented. Several examples are provided to allow practice for applying the rules to finding the derivatives to functions.
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Activity
Interactive Mathematics

Interactive Mathematics: Higher Derivatives

For Students 9th - 10th
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Function Evaluator and Grapher

For Students 9th - 10th Standards
Students enter functions into the grapher. The resource allows students to compute derivatives, graph derivatives, trace curves, compute function values, and add plotted points.
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Graphic
Interactive Mathematics

Interactive Mathematics: The Derivative

For Students 9th - 10th
The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.
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Activity
Free Math Help

Free Math Help: Trigonometry Derivatives

For Students 9th - 10th Standards
The tutorial examines trigonometric derivatives. Formulas, graphs, and an example are included.
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Unit Plan
Massachusetts Institute of Technology

Mit: Open Course Ware: Differentiability and Continuity

For Students 9th - 10th
The activity investigates differentiability and continuity. The resource consists of online textbook chapters and exam questions with solutions on non-differentiable behavior. All documents were created from scanned original files and...
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Unit Plan
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Derivatives of Trigonometric Functions

For Students 11th - 12th
This Northeast Parallel Architectures Center at Syracuse University site is a table of contents for information and examples on derivatives of trigonometric functions.
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Unknown Type
Hofstra University

Derivatives of Logarithmic and Exponential Functions

For Students 9th - 10th
This site explains the derivatives of standard logarithmic and exponential functions. The site has example problems and grades your work, explaining errors you may have made when attempting the problem.
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Activity
Texas Instruments

Texas Instruments: Derivative of the Sine of a Function

For Teachers 9th - 10th
Students will find the derivative of the sine function if the argument is a function of x.