Lesson Plan
Curated OER

BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
Worksheet
Curated OER

Worksheet 7

For Students 11th - Higher Ed
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Worksheet
Curated OER

Worksheet 11

For Students 6th - 8th
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
Lesson Plan
Other

Center for Technology and Teacher Education: Exploring Infinite Series

For Teachers 9th - 10th
This site is a lesson plan on the convergence of infinite series. This lesson combines algebraic and geometric interpretations of infinite series. Learners calculate partial sums, and prove ideas about convergence of specific infintie...
Lesson Plan
Texas Instruments

Texas Instruments: Exploring Infinite Series

For Teachers 9th - 10th Standards
In this activity, learners learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
Activity
Other

Seton Hall University: Series and Convergence

For Students 9th - 10th
This fantastic resource addresses many aspects of series and convergence. Uses interesting and helpful examples. Provides the option to follow links to proofs and answers to exercises. Also discusses Zeno's paradox of Achilles and the...
Activity
Cut the Knot

Cut the Knot!: Example of Convergent Infinite Series

For Students 9th - 10th
This site explains the sum of a simple convergent series using a geometric illustration.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Sequences and Series

For Students 9th - 10th Standards
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
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...
Activity
Texas Instruments

Texas Instruments: Ratio Test

For Teachers 9th - 10th
This activity will demonstrate the use of the ratio test to discuss the convergence of an infinite series.
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...
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
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.
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.