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AP Test Prep
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Flipped Math

Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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AP Test Prep12:17
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Flipped Math

Calculus AB/BC - Solving Related Rates Problems

For Students 10th - 12th
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
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AP Test Prep9:14
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Flipped Math

Calculus AB/BC - Introduction to Related Rates

For Students 10th - 12th
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
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Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they collect,...
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Worksheet
Curated OER

Related Rates

For Students 11th - 12th
For this algebra worksheet, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.
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Worksheet
Curated OER

Related Data Sets

For Students 11th
In this algebra worksheet, 11th graders describe correlation between the different data. They describe the situation that is not a casual relationship. There is and answer key to this problem.
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Worksheet
Curated OER

Related Rate Problems

For Students 11th - 12th
In this calculus instructional activity, students solve problems that involve related rates.  The two page instructional activity 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, learners 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

Twelve Related Rates Word Problems

For Students 12th - Higher Ed
In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.
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Activity
Texas Instruments

Texas Instruments: Visualizing Related Rates Problems

For Teachers 9th - 10th
This activity models related rates problems using parametric equations for simulation purposes.
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Activity
Texas Instruments

Texas Instruments: Related Rates

For Teachers 9th - 10th
This activity leads students through the process of working related rates problems. Teachers can assess progress using quick poll and screen captures.
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Activity
Texas Instruments

Texas Instruments: Motion of Related Objects

For Teachers 9th - 10th
This activity introduces the concept of related rates with parametric equations using a projectile motion problem.
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Activity
Texas Instruments

Texas Instruments: Related Rates

For Teachers 9th - 10th
This learning check activity will test students knowledge of related rates.
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Handout
Paul Dawkins

Paul's Online Notes: Calculus Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Related Rates

For Students 9th - 10th
Students investigate related rates. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
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Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
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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...
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates

For Students 9th - 10th
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
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Handout
Math Open Reference

Math Open Reference: Related Rates

For Students 9th - 10th
A complete reference guide to related rates. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.