Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/AD4-Solve-real-world-and-other-mathematical-problems-involving-extrema

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

- General Sites
- Presentation and Communication Tools
- Common Core State Standards (CCSS)
- About Project-based Learning (PBL)
- Visible Thinking Routines
- Polls
- Teambuilding Exercises

- 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

- Maximum and Minimum Values of Curves and optimization
- Optimization
- Maximum-Minimum Problems: Business and Economics Applications, Part 1
- Maximum-Minimum Problems: Business and Economics Applications, Part 2
- Optimization Problems
- Extreme Values on Intervals
- Maximum & Minimum Vales and Optimization Exercises
- Relative Minima and Maxima Exercises
- Absolute Extrema Exercises
- Optimization Exercises
- Local Extreme Values Exercises
- Endpoint and Absolute Extreme Values Exercises

Solve real-world and other mathematical problems finding local and absolute maximum and minimum points with and without technology.

Mooculus Calculus Textbook Sect 9.1 pp 146-148, 9.2 pp 150-156

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 12.1-12.5 pp 174-184The 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.

Instructional video from NROC/Hippocampus on maximium-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.Video duration: 9:56

Instructional video from NROC/Hippocampus on maximum-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.Video duration: 4:50

MIT Open Courseware video lecture on this topic

Mathvids video on this topicVideo duration: 18:55

Mooculus Calculus Textbook Exercises, Sect 9.1 p 149 (Ans p 252), 9.2 p 157 (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.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

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.

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.

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.4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

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.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

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.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.