I.4: Understand the Fundamental Theorem of Calculus
Created on: October 31, 2014
Website Address: https://library.curriki.org/oer/I4-Understand-the-Fundamental-Theorem-of-Calculus
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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
How Random Is My Life?
- How Random Is My Life? Teacher Edition
- How Random Is My Life? Student Edition
- How Random Is My Life? Resources
- Curriki Geometry Tools and Resources
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.5: Use the Fundamental Theorem of Calculus.
- The Fundamental Theorem
- Fundamental Theorem of Calculus
- The Antiderivative and Indefinite Integration
- The Antiderivative and Indefinite Integration, Additional Examples
- Definite Integrals and the Fundamental Theorem of Calculus
- How to Determine the Value of a Definite Integral on the Graphing Calculator
- Definite Integral Example 1
- Definite Integral Example 2
- Definite Integral: Calc (Graphing)
- Definite Integral: Calc (Nongraphing)
- Antiderivatives and Indefinite Integration
- FTC Evaluating Definite Integrals
- Fundamental Theorem of Calculus AP Style Problems
- The Fundamental Theorem Exercises
- Fundamental Theorem of Calculus Exercises
- Fundamental Theorem of Calculus - Derivatives Exercises
- Integration Power Rule Exercises
- Integration - Logarithmic Rule and Exponentials Exercises
- Integration - Trigonometric Functions Exercises
- Indefinite Integrals Exercises
- The Exponential Function Integral Exercises
- Arbitrary Powers; Other Bases Differentiation and Integration Exercises
I.4: Understand the Fundamental Theorem of Calculus
Understand the Fundamental Theorem of Calculus: Interpret the definite integral of the rate of change of a quantity over an interval as the accumulation of change of the quantity over the interval.
Collection Contents
The Fundamental Theorem
by Allen WolmerMooculus Calculus Textbook Section 13.1 pp 208-213
Fundamental Theorem of Calculus
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 16.1 pp 222-224The 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.
Fundamental Theorem of Calculus
by Allen WolmerA Firefly Lectures video on this topic.Video duration: 11:07
The Fundamental Theorem of Calculus
by Allen WolmerA Math League of America video on this topic.Video duration: 11:45
The Fundamental Theorem Exercises
by Allen WolmerMooculus Calculus Textbook Exercises, Sect 13.1 p 214 (Ans p 254)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.8 Look for and express regularity in repeated reasoning.
Fundamental Theorem of Calculus 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.
The Integral Function 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.
