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Rice University

Rice University: Cynthia Lanius: Visualizing an Infinite Series

For Students 9th - 10th
This site explains the infinite series through visualization.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus With Theory

For Teachers 9th - 10th
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
Activity
Other

Old Dominion University: Calculus Animations W Mathcad

For Students 9th - 10th
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
Handout
Stanford University

Geometric Series

For Students 9th - 10th Standards
This resource has a short explanation of the geometric series.
Website
Mathematics Archives

Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents

For Students 9th - 10th
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
Activity
Math Medics

S.o.s. Math: The Geometric Series

For Students 9th - 10th Standards
The process of adding infinitely many numbers is at the heart of the mathematical concept of a numerical series. This lesson gives a tutorial on geometric series. Includes sample problems and solutions.
Activity
Other

Old Dominion University: Geometric Series

For Students 9th - 10th Standards
This site explains the geometric series. There is a link to the theory of the geometric theory.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sums of Infinite Geometric Series

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Calculating the sum of the values in an infinite geometric series
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sums of Infinite Geometric Series

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers identifying infinite geometric series for which a sum can be determined, and finding the sum.
Handout
University of St. Andrews (UK)

University of St. Andrews: Brook Taylor

For Students 9th - 10th
This University of St. Andrews page offers an excellent biography on Brook Taylor, an English mathematician and physicist (1685-1731.) Discusses his life and his contributions to these academic fields.
Activity
Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Activity
Math Notes and Math Tests

Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]

For Students 9th - 10th Standards
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Synthetic Division of Polynomials

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Using synthetic division to identify zeroes of polynomials