Standard #: MAFS.912.C.4.1 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Use rectangle approximations to find approximate values of integrals.


Remarks


Example: Find an approximate value for using 6 rectangles of equal width under  the graph of between x=0 and x=3. How did you form your rectangles? Compute this approximation three times using at least three different methods to form the rectangles.

General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Level 1: Recall
Cluster: Integral Calculus - Understand that integration is used to find areas, and evaluate integrals using rectangular approximations. From this, develop the idea that integration is the inverse operation to differentiation — the Fundamental Theorem of Calculus. Use this result to find definite and indefinite integrals, including using the method of integration by substitution. Apply approximate methods, such as the Trapezoidal Rule, to find definite integrals. Define integrals using Riemann sums, use the Fundamental Theorem of Calculus to find integrals using antiderivatives, and use basic properties of integrals. Integrate by substitution, and find approximate integrals.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))


Printed On:4/27/2025 5:23:44 PM
Print Page | Close this window