Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/I4-Understand-the-Fundamental-Theorem-of-Calculus

TABLE OF CONTENTS

- 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.

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.

Mooculus Calculus Textbook Section 13.1 pp 208-213

A 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.

A Firefly Lectures video on this topic.Video duration: 11:07

A Math League of America video on this topic.Video duration: 11:45

Mooculus 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.

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.

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.