I.3: Interpret a Definite Integral as a Limit of Riemann Sums.
Created on: October 31, 2014
Website Address: https://library.curriki.org/oer/I3-Interpret-a-Definite-Integral-as-a-Limit-of-Riemann-Sums
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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
Curriki Calculus: Integrals
- Integrals Table of Contents by Standard
- I.1: Use Rectangle Approximations to Find Approximate Values of Integrals.
- I.2: Calculate the Values of Riemann Sums.
- I.3: Interpret a Definite Integral as a Limit of Riemann Sums.
- I.4: Understand the Fundamental Theorem of Calculus
- I.5: Use the Fundamental Theorem of Calculus.
- I.6: Understand and Use the Properties of Definite Integrals.
- I.7: Understand and Use Integration by Substitution.
- I.8: Understand and Use Riemann Sums and Trapezoidal Sums.
I.3: Interpret a Definite Integral as a Limit of Riemann Sums.
Interpret a definite integral as a limit of Riemann Sums.
Collection Contents
Riemann Sums
by Allen WolmerMooculus Calculus Textbook Sect 12.2 pp 202-206
Formal Definition of the Definite Integral
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 14.3 pp 200-201The 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.
Riemann Sums and Integrals
by Allen WolmerA Khan Academy video on this topic.Video duration: 4:25
Definite Integrals Defined w. Reimann Limit of Sums Example
by Allen WolmerA Youtube video on this topic.There may be short commercial content at the beginning.Video duration: 11:52
Definite Integral Limit of Riemann Sum Geometry I
by Allen WolmerA Youtube video on this topic.There may be short commercial content at the beginning.Video duration: 24:15
Riemann Sums Exercises
by Allen WolmerMooculus Calculus Textbook Exercises, Sect 10.3, p 177 (Ans p 253)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.
