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.
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...
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Khan Academy

Khan Academy: Analyze Functions (Calculator Active)

For Students 11th
Analyze the behavior of graphs of functions using a graphing calculator and your knowledge about derivatives.
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...
Handout
Math Open Reference

Math Open Reference: Power Functions

For Students 9th - 10th
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Activity
Texas Instruments

Texas Instruments: Functions and Their Extrema

For Teachers 9th - 10th
Model the trajectory of the longest home run ever hit while studying extrema of functions on the TI-89. Another real-world problem in this activity involves minimizing the amount of tin used in a cylindrical tank. Following the worked...
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
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
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
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
Analyze Math

Analyze Math: Differentiation of Trigonometric Functions

For Students 9th - 10th Standards
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
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
Texas Instruments

Texas Instruments: Using Derive

For Teachers 9th - 10th Standards
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
Activity
Analyze Math

Analyze Math: Differentiation of Exponential Functions

For Students 9th - 10th Standards
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
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
Analyze Math

Analyze Math: Differentiation of Logarithmic Functions

For Students 9th - 10th Standards
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Activity
Discovery Education

Discovery Education: Web Math: Find a Derivative Using the Quotient Rule

For Students 9th - 10th
WebMath offers an-line solver that allows the student to input a function have it automatically differentiated using the quotient rule.
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...
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Which Function?

For Teachers 9th - 10th Standards
For this task, students 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...
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.