Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/AD9-Solve-optimization-real-world-problems-with-and-without-technology

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

- How to Determine Relative Extrema on the Graphing Calculator
- Optimization Problems
- Solving Optimization Problems
- Optimization: Example 1
- Optimization: Example 2
- Optimization: Example 3
- Optimization: Example 5 (harder)
- Derivatives Using TI Calculator
- Optimization: Maximizing Volume
- Optimization Exercises
- Some Max-Min Problem Exercises

AD.9: Solve optimization real-world problems with and without technology.

Instructional video from NROC/Hippocampus on how to determine relative extrema on the graphic calculator from the Phoenix College Collection-Calculus 1.Video duration: 4:08

A Math League of America video lecture on this topicVideo duration: 14:10

A Firefly Lectures video on this topicVideo duration: 8:33

A Firefly Lectures video on this topicVideo duration: 9:23

A Firefly Lectures video on this topicVideo duration: 7:45

A Firefly Lectures video on this topicVideo duration: 8:03

A Firefly Lectures video on this topicVideo duration: 12:28

A Firefly Lectures video on this topicVideo duration: 10:05

Animated applet; requires security enabled Java.

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.

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.