Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)

For Teachers 9th - 10th
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook)

For Teachers 9th - 10th
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Activity
Wolfram Research

Wolfram Math World: Convergent Series

For Students 9th - 10th
This page gives a brief overview of convergence as it pertains to series. Somewhat difficult to understand if you are not already familiar with the topic. The site gives fundamental information pertaining to all series of converent...
Handout
Georgia State University

Georgia State University: Hyper Physics: Infinite Series

For Students 9th - 10th
Short site from Georgia State University Department of Physics and Astronomy explaining the infinite exponential 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.
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.
Article
Famous Scientists

Famous Scientists: Srinivasa Ramanujan

For Students 9th - 10th
A short biography about the Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.
Handout
Other

If Only Every Function Were a Polynomial

For Students 9th - 10th Standards
This site explains why not every function is a polynomial and discusses infinite series.
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
Wolfram Research

Wolfram Math World: Sine

For Students 9th - 10th
MathWorld provides graphs of the sine function, both 2-dimensional and 3-dimensional. Higher level mathematical applications given, including the hyperbolic sine function, representation of the sine function as an infinite sum as well as...
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
Wolfram Research

Wolfram Math World: Golden Ratio

For Students 9th - 10th
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
PPT
Sophia Learning

Sophia: Equations That Have Infinitely Many Solutions: Lesson 5

For Students 9th - 10th Standards
This lesson will demonstrate how to recognize when an equation has infinitely many solutions. It is 5 of 6 in the series titled "Equations that have Infinitely Many Solutions."
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Imaginary Exponents and Euler's Equation

For Students 9th - 10th
"What does it mean to have an imaginary exponent?" This site has an exceptional answer and explains it in two different ways
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.
Unit Plan
Cuemath

Cuemath: Sequences

For Students 9th - 10th Standards
A comprehensive guide for learning all about sequences with definitions, the types of sequences, examples of sequences, formulas for sequences, solved examples, and practice questions.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Sequences

For Students 9th - 10th
The lesson discusses sequences. Students learn about finite sequences, infinite sequences, and sequences with patterns. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher...
Interactive
Shodor Education Foundation

Shodor Interactivate: Tortoise and Hare Race

For Students 3rd - 8th
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Handout
Wolfram Research

Wolfram Math World: Convergence Tests

For Students 9th - 10th
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.
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.
Lesson Plan
Other

Ctte: Geometer's Sketch Pad Activities

For Teachers 9th - 10th
This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.
Handout
Mocomi & Anibrain Digital Technologies

Mocomi: Srinivasa Ramanujan Biography

For Students 1st - 8th
Interesting biographical information and famous quotes about Srinivasa Ramanujan, a famous mathematician.
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

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