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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.
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Lesson Plan
Curated OER

Product Rule

For Teachers 11th - Higher Ed
Students define the product rule and use it to solve problems. In this calculus lesson plan, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by...
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Worksheet
Curated OER

Worksheet 3

For Students 11th - Higher Ed
For this math worksheet, students calculate the indefinite integrals. They also find the differential functions. Finally social diffusion is used to describe how information is passed through a sample population.
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Worksheet
Curated OER

Worksheet 18 Fall 1995

For Students 11th - Higher Ed
For each of the equations they find the values of the rational expressions. Then they differentiate each expression in relation to the value of t.
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Worksheet
Curated OER

Hyperbolic Functions

For Students 11th - 12th
Students evaluate6 functions. They prove three identities and solve four differential problems. THere are 13 problems total.
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Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Lesson Plan
Curated OER

The Exact Differential

For Teachers 11th - 12th
Students integrate functions using u substitution.  In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du.  Students integrate...
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Worksheet
Curated OER

Multivariable Calculus: Bonus Quiz 6

For Students Higher Ed
In this gradient operator and gradient fields learning exercise, students determine if two vectors are gradient fields. They solve for the appropriate scalar functions of a vector variable. Students show that the gravitation al force...
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Interactive
CK-12 Foundation

Related Rates of Car Speeds

For Students 11th - Higher Ed
Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...
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Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths instructional activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Worksheet
Curated OER

Euler's Method

For Students 12th - Higher Ed
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
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Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
For this integrals worksheet, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...
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Lesson Plan
Curated OER

Screaming for Ice Cream

For Teachers 9th - 12th Standards
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone.  Students solve the problem symbolically, graphically, and through the use of integration or...
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Worksheet
Curated OER

Derivatives

For Students 9th - 12th
In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
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Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Learners differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Worksheet
Curated OER

Related Rate Problems

For Students 11th - 12th
For this calculus worksheet, students solve problems that involve related rates.  The two page worksheet contains twenty-four problems.  Answers are not provided. 
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Worksheet
Curated OER

Integration

For Students 12th - Higher Ed
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums.  The one page worksheet contains twenty-three problems.  Solutions are not provided. 
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Worksheet
Curated OER

Math 155 Worksheet 7

For Students Higher Ed
In this college level calculus worksheet, students use implicit differentiation to solve problems involving rate of change.  The two page worksheet contains three problems.  Answers are not included. 
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Lesson Plan
Kenan Fellows

Using Motion Sensors to Explore Graph Sketching

For Teachers 11th - Higher Ed
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
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Lesson Plan
Curated OER

Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
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Lesson Plan
Curated OER

Local Linearity

For Teachers 8th - 11th Standards
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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Worksheet
Curated OER

Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus worksheet, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page worksheet contains six problems.  Answers are not included. 
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Lesson Plan
Curated OER

Absolute Maximum and Minimum

For Teachers 9th - 11th
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
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Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.