AD.3: Decide where functions are decreasing and increasing.
Created on: October 31, 2014
Website Address: https://library.curriki.org/oer/AD3-Decide-where-functions-are-decreasing-and-increasing
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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.3: Decide where functions are decreasing and increasing.
- Extrema
- Intervals of Increase and Decrease
- Increasing and Decreasing Functions
- Using the First Derivative to Determine Where a Function is Increasing and Decreasing to Determine Relative Extrema
- Extrema Exercises
- Intervals of Increase and Decrease Exercises
- Comparing a Function with its Derivatives Exercises
- Increasing and Decreasing Functions Exercises
Decide where functions are decreasing and increasing. Understand the relationship between the increasing and decreasing behavior of f and the sign of f'.
Collection Contents
Extrema
by Allen WolmerMooculus Calculus Textbook Sect 4.1, pp 64-66
Intervals of Increase and Decrease
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 10.6 pp 145-146The 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.
Increasing and Decreasing Functions
by Allen WolmerInstructional video from NROC/Hippocampus on increasing and decreasing functions from the Phoenix College Collection -Calculus 1.Video duration: 10:04
Instructional video from NROC/Hippocampus on Using the First Derivative to Determine Where a Function is Increasing and Decreasing to Determine Relative Extrema from the Phoenix College Collection-Calculus 1.Video duration: 6:02
Extrema Exercises
by Allen WolmerMooculus Calculus Textbook Exercises, Sect 4.1, p 67 (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.
Intervals of Increase and Decrease 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.
Comparing a Function with its Derivatives 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.7 Look for and make use of structure.
Increasing and Decreasing Functions 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.7 Look for and make use of structure.
