Worksheet
Curated OER

Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
Worksheet
Curated OER

Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems.  These problems are designed as review and preparation for the AP Calculus Exam.
Worksheet
Curated OER

Converging Series

For Students 10th - Higher Ed
In this functions worksheet, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
Worksheet
Curated OER

Average Value of a Function

For Students 12th
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
Worksheet
Curated OER

Worksheet #5, Concavity,

For Students 11th - 12th
In this calculus instructional activity, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative...
Worksheet
Curated OER

Calculus Test

For Students 11th - 12th
In this calculus worksheet, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics.  The one page worksheet contains twenty-eight multiple choice questions. ...
Worksheet
Curated OER

Curve Sketching

For Students 11th - 12th
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
Lesson Plan
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Introduction to Tangent Lines using the TI-Nspire

For Teachers 9th - 11th
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Worksheet
Curated OER

Summer 1999, MA 123: Cumulative Review

For Students 9th - 12th
In this math worksheet, high schoolers work to complete the review for a final part of an Algebra II class. The sheet has review problems.
Worksheet
Curated OER

A.P. Calculus Exam Prep

For Students 11th - Higher Ed
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
Worksheet
Curated OER

Sixteen Multiple Choice AP Calculus AB Exam Practice Questions

For Students 11th - Higher Ed
In this AP Calculus AB Exam worksheet, students answer sixteen multiple choice questions in preparation for the AP Exam.  These questions include many topics covered on the exam.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Derivative and Second Derivative [Pdf]

For Students 9th - 10th
Students use the graph of the derivative to approximate the slope, relative minimum, concavity, and inflection points. The exercise is available in PDF format.
Activity
Texas Instruments

Texas Instruments: Cubic Inflection

For Teachers 9th - 10th
This application of derivatives introduces students to an interesting property of cubics and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
Activity
Harvey Mudd College

Harvey Mudd College: Concavity and the Second Derivative Test

For Students 9th - 10th
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
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...
Activity
Other

Karl's Calculus Tutor: Applications of Derivatives

For Students 9th - 10th
This detailed site provides five web pages devoted to the various applications of derivatives. Content includes several examples and learning exercises.
Activity
Texas Instruments

Texas Instruments: Quartic Inflection

For Teachers 9th - 10th
This activity introduces students to an interesting property of fourth degree polynomials and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
Unit Plan
University of California

U of Ca, Davis: Graphing Functions Using Derivatives

For Students 9th - 10th
Learn about the graphing of functions through useage of the first and second derivatives.
Handout
Other

Maths First: The Sign of the Derivative

For Students 10th - 12th
Description and examples of points of inflection.
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Aplicaciones De La Derivada

For Students 9th - 10th Standards
In Spanish. In this interactive unit learn how to calculate intervals of growth and decay, maximum and minimum value of a function, the intervals of concavity and convexity and the turning points of a function.
Graphic
Interactive Mathematics

Interactive Mathematics: Curve Sketching

For Students 9th - 10th Standards
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...