Calculus Introduction to Riemann Sums
This activity is designed for AP Calculus AB, AP Calculus BC, Honors Calculus and College Calculus 1. It emphasizes the visualization of the Riemann sums, and how curves are partitioned.
✓ Task Cards
: There are 10 task cards with partitioned functions. Students are given the function, the interval, the number of partitions, and the method used to determine the partition. They analyze and determine which of four graphs matches these conditions. The methods of partitioning in this activity are right endpoint, left endpoint, and midpoint. Students are not finding the sum. Many of the examples can lead to good discussions as to why the wrong answers are not correct. The problems include a good mix or functions including polynomial, trig, square root, and absolute value functions.
✓ An Additional Handout
with problems for students to sketch partitions based upon the right endpoint, left endpoint, and midpoint methods. The handout can be used as enrichment, homework, group work, or as an assessment.
✓ All Answer keys including a QR version
of the Task Card answer key so this can be self checking. Students do not need to be on the internet to use the QR’s, but must have a device with a QR reader app installed.
✓ Student recording sheet.
-This is included in:
•Bundle of Activities for Area Under the Curve
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©2017 Joan Kessler (distancemath.com™). Please note - this resource is for use by one teacher only. Colleagues must purchase additional licenses or you may purchase licenses for them at a discount. Note: You may not upload this resource to the Internet in any form.