Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/AD12-Model-rates-of-change-including-related-rates-problems

TABLE OF CONTENTS

- Curriki Project Based Geometry
- Curriki Calculus: Applications of Derivatives
- Curriki Calculus: Integrals

- Selling Geometry
- Designing a Winner
- What's Your Angle, Pythagoras?
- TED Talk: House of the Future
- The Art of Triangles
- How Random Is My Life?
- Introduction to Angles
- Lesson -- Drawing right triangles from word problems
- Accessing Curriki Geometry Projects
- Introduction to Curriki Geometry

- How Random Is My Life? Teacher Edition
- How Random Is My Life? Student Edition
- How Random Is My Life? Resources
- Curriki Geometry Tools and Resources

- Applications of Derivatives Table of Contents by Standard
- AD.1: Find the slope of a curve at a point.
- AD.2: Find a tangent line to a curve at a point and a local linear approximation.
- AD.3: Decide where functions are decreasing and increasing.
- AD.4: Solve real-world and other mathematical problems involving extrema.
- AD.5: Analyze real-world problems modeled by curves.
- AD.6: Find points of inflection of functions.
- AD.7: Use first and second derivatives to help sketch graphs.
- AD.8: Compare the corresponding characteristics of the graphs of f, f', and f".
- AD.9: Solve optimization real-world problems with and without technology.
- AD.10: Find average and instantaneous rates of change.
- AD.11: Find the velocity and acceleration of a particle moving in a straight line.
- AD.12: Model rates of change, including related rates problems.
- AD.13: Interpret a derivative as a rate of change in applications.
- AD.14 Geometric interpretation of differential equations via slope fields

- 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

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 7.5-7.8 pp 109-116The 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.

A Firefly Lectures video on this topic.Video duration: 10:17

A Firefly Lectures video on this topic.Video duration: 10:52

A Firefly Lectures video on this topic.Video duration: 9:58

A firefly Lectures video on this topic.Video duration: 8:36

A Youtube video on this topic. There may be some commercial content at the beginning.Video duration: 21:00

A Youtube video on this topic. There may be short commercial content at the beginning.Video duration: 28:41

A Youtube video on this topic. There may be short commercial content at the beginning.Video duration: 11:13

Calculus applet illustrating this topic. Security enabled Java required.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

Mooculus Calculus Textbook Exercises, Sect 8.3 pp 143-145 (Ans p 252)This set of exercises supports the following Standards of Mathematical Practice1 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.