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Math 155 - Worksheet 7. Function

For Students Higher Ed
In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
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Worksheet 20 Fall 1995

For Students 11th - Higher Ed
In this math activity, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.
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Worksheet 30

For Students 11th - Higher Ed
In this math activity, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Worksheet 22-Fall 1995

For Students 11th - Higher Ed
For this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Worksheet 15

For Students 11th - Higher Ed
In this math activity, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
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Slope Fields

For Teachers Higher Ed
In this slope field worksheet, students match the slope field to its correct differential equation. This one-page worksheet contains six problems.
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Integrating Functions

For Students 6th - 8th
In this math instructional activity, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Product Rule

For Teachers 9th - 12th
High schoolers investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the lesson to help find the solutions to...
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Parametric Equations

For Teachers 9th - 12th
Learners investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for direct...
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Cell and Compound Nouns

For Teachers 7th - 10th
Pupils explore the definition and derivation of the popular usage of shorten compound nouns. Using worksheets and lecture materials, students provide meanings for the word "cell" when used in varying contexts. They also consider the...
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Blogs and Other Internet Vocabular

For Teachers 7th - 11th
Young scholars explore the definition and derivation of popular internet vocabulary. Using worksheets and lecture materials, students provide meanings for the word blog and other words used to describe working on the internet. They...
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Motion of a Bouncing Ball

For Teachers 12th
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Engineering in a Calculus Classroom

For Teachers 11th - 12th
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Math 155 Review Worksheet for Exam 1

For Students Higher Ed
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist.  Students determine the derivative of the given functions.  The two page worksheet contains twenty-six...
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Math 155 Worksheet 4

For Students 10th - 12th
In this derivatives worksheet, learners solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask learners use the basic...
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Math 150 Limit computations

For Students Higher Ed
In this college level calculus instructional activity, students evaluate the given limits and find the indicated derivatives.  The two page instructional activity contains ten problems.  Answers are not included.   
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Math 155 Review Worksheet 5

For Students Higher Ed
In this college level Calculus learning exercise, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference.  The two page learning exercise contains...
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Quotient Rule

For Teachers 11th - 12th
Young scholars differentiate functions.  In this differentiating functions lesson, students use the quotient rule to differentiate functions.  Young scholars use the quotient rule to differentiate rational functions such as a...
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The Chain Rule

For Teachers 11th - 12th
Students determine the derivative of a function.  In this determining the derivative of a function lesson plan, students use the chain rule to find the derivative of the function.  Students use the chain rule to take the...
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Derivatives of Exponential Functions

For Teachers 11th - 12th
Learners take derivatives of exponential functions.  In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function.  Learners find derivatives...
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Lesson #63 Review for Test on Chapter 4

For Teachers 10th - 12th
Students explore functions. In this derivatives lesson students complete an attached worksheet. A formula sheet for derivatives is included. This lesson is designed as a review for the derivatives test.
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Lesson #67 Relative Extrema

For Teachers 12th
  Students test for relative extrema.  In this Calculus activity, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.