Calculus Riemann Sums and Sigma Notation with Lesson Video (Unit 6)
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Description
Riemann Sums, Sigma Notation and Writing Area as a Limit Lesson:
Your AP Calculus students express the limit of a Riemann sum in integral notation and write integral notation as a limit of a Riemann sum.
What is included in this resource?
⭐ Guided Student Notes
⭐ Fully-editable SMART Board® Slides
⭐ Google Slides®
⭐ Homework/Practice assignment
⭐ Content quiz
⭐ Video Lesson Link for Distance Learning - Flipped Classroom models
⭐ Full solution set
Lesson Objective:
★ Express the limit of a Riemann sum in integral notation
★ Write integral notation as a limit of a Riemann sum
College Board® Topics:
Topic 6.3: Riemann Sums, Summation Notation, and Definite Integral Notation
College Board® Learning Objectives:
LIM-5: Definite integrals can be approximated using geometric and numerical methods.
LIM-5.B: Interpret the limiting case of the Riemann sum as a definite integral.
LIM-5.C: Represent the limiting case of the Riemann sum as a definite integral.
LIM-5.B.1: The limit of an approximating Riemann sum can be interpreted as a definite integral.
LIM-5.B.2: A Riemann sum, which requires a partition of an interval I, is the sum of products, each of which is the value of the function at a point in a subinterval multiplied by the length of that subinterval of the partition.
LIM-5.C.1: The definite integral of a continuous function f over the interval [a, b], is the limit of Riemann sums as the widths of the subintervals approach 0.
FUN-5.C.2: A definite integral can be translated into the limit of a related Riemann sum, and the limit of a Riemann sum can be written as a definite integral.
The unit includes:
1) Approximating Area With Riemann Sums
2) Sigma Notation and Riemann Sums
4) Properties of Definite Integrals
5) Antiderivatives & Indefinite Integration
6) The Fundamental Theorem of Calculus
7) Integration By Substitution
8) Integration of Transcendental Functions
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AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.
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