Model rates of change, including related rates problems.


Related Rates Problems

by Allen Wolmer

Mooculus Calculus Textbook Sect 8.3 pp 136-142

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Related Rates

by Allen Wolmer

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. 

Section 7.5-7.8 pp 109-116

The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.

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A Firefly Lectures video on this topic.

Video duration:  10:17

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A Firefly Lectures video on this topic.

Video duration:  10:52

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A Firefly Lectures video on this topic.

Video duration:  9:58

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A firefly Lectures video on this topic.

Video duration:  8:36

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A Youtube video on this topic. There may be some commercial content at the beginning.

Video duration:  21:00

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A Youtube video on this topic. There may be short commercial content at the beginning.

Video duration:  28:41

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A Youtube video on this topic. There may be short commercial content at the beginning.

Video duration:  11:13

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Calculus applet illustrating this topic. Security enabled Java required.

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Related Rates Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

  • 1 Make sense of problems and persevere in solving them.
  • 2 Reason abstractly and quantitatively.
  • 4 Model with mathematics.
  • 5 Use appropriate tools strategically.
  • 6 Attend to precision.
  • 7 Look for and make use of structure.
  • 8 Look for and express regularity in repeated reasoning.
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This set of exercises supports the following Standards of Mathematical Practice

  • 1 Make sense of problems and persevere in solving them.
  • 2 Reason abstractly and quantitatively.
  • 4 Model with mathematics.
  • 5 Use appropriate tools strategically.
  • 6 Attend to precision.
  • 7 Look for and make use of structure.
  • 8 Look for and express regularity in repeated reasoning.
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Related Rates Exercises

by Allen Wolmer

Mooculus Calculus Textbook Exercises, Sect 8.3 pp 143-145 (Ans p 252)

This set of exercises supports the following Standards of Mathematical Practice

  • 1 Make sense of problems and persevere in solving them.
  • 2 Reason abstractly and quantitatively.
  • 3 Construct viable arguments and critique the reasoning of others.
  • 5 Use appropriate tools strategically.
  • 6 Attend to precision.
  • 7 Look for and make use of structure.
  • 8 Look for and express regularity in repeated reasoning.
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