Allen WolmerSandy Springs, Georgia, US,

October 31, 2014

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Model rates of change, including related rates problems.

- Mathematics > General
- Mathematics > Calculus

- Grade 11
- Grade 12

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Table of Contents

- Related Rates Problems
- Related Rates
- Related Rates: Intro and Theory
- Related Rates Example: Falling Ladder
- Related Rates Example: Water In Trough
- Related Rates Example: Fill Balloon With Air
- Related Rates in Calculus Part 1
- Related Rates Part 2 Linear vs Angular Speed
- Calculus Related Rates Example Volume of Cone
- Related Rates: Melting a Snowball
- Related Rates Exercises
- Rates of Change Per Unit Time Exercises
- Related Rates Exercises

Model rates of change, including related rates problems.

Mooculus Calculus Textbook Sect 8.3 pp 136-142

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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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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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Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

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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Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

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.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

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