AD.6: Find points of inflection of functions.
Created on: October 31, 2014
Website Address: https://library.curriki.org/oer/AD6-Find-points-of-inflection-of-functions
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TABLE OF CONTENTS
Curriki Calculus
- Curriki Project Based Geometry
- Curriki Calculus: Applications of Derivatives
- Curriki Calculus: Integrals
Curriki Project Based Geometry
- 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
Selling Geometry
- Selling Geometry Resources
- Curriki Geometry Tools and Resources
- Lesson -- Rotation
- The World Runs on Symmetry
- Lesson -- Dilations and Isometry
- Lesson -- Composition of Transformations
- Cool Math 4 Kids: Tessellations
- Tessellations.org
- Euclid
- About Cloze Notes
- What's the point of Geometry? - Euclid
- Selling Geometry Project Teacher Edition
- Selling Geometry Project Student Packet
Curriki Calculus: Applications of Derivatives
- 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
Designing a Winner
- Designing a Winner Resources
- Curriki Geometry Tools and Resources
- Problems -- Similarity
- Designing a Winner Teacher Edition
- Designing a Winner Student Edition
- Lesson -- Applying the sine and cosine ratios
- Equation of a tangent line
- Cabo SUP Challenge
- Similarity Tutorial
- ShowMe.com Reflection Videos
AD.6: Find points of inflection of functions.
Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f". Understand points of inflection as places where concavity changes.
Collection Contents
Concavity & Inflection Points
by Allen WolmerMooculus Calculus Textbook Sect 4.3 pp 71-73
Concavity & Inflection Points
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 11.1 pp 154-155The 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.
Concavity & Inflection Points Exercises
by Allen WolmerMooculus Calculus Textbook Exercises, Sect 4.3 p 74 (Ans p 248)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.8 Look for and express regularity in repeated reasoning.
Intervals of Concavity Exercises
by Allen WolmerThis 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.8 Look for and express regularity in repeated reasoning.
Concavity and Points of Inflection Exercises
by Allen WolmerThis 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.8 Look for and express regularity in repeated reasoning.
