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Lesson Plan
Curated OER

Hotel Infinity

For Teachers 4th - 7th
Pupils investigate the concept of infinity. They read a story, discuss the concept of infinity from the story, and create an illustration of the hotel described in the story.
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Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 9th - 12th
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Lesson Plan
Curated OER

What is zero? What is infinity? Where they come from? (Senior, Mathematics)

For Teachers 2nd - 3rd
Students discuss and determine what is zero, what is infinity, and where do these numbers come from?
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Lesson Plan
Curated OER

Infinity

For Teachers 9th - 12th
Students engage in a lesson that is concerned with the concept of infinity as defined in a series by geometry. The lesson integrates the use of philosophy to help them comprehend how infinity can possibly mean while investigating the...
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Lesson Plan
Curated OER

Properties of Fractals

For Teachers 6th - 8th
Young scholars build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
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Lesson Plan
Google

Google for Education: Area of a Circle

For Teachers 9th - 10th
Students learn to derive the formula for the area of a circle. They learn to relate a circle to a parallelogram and rectangle while learning the concept of infinity as they imagine slicing an circle into infinitesimally small slices.
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Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
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Activity
Windstream

Ojk's Precalculus Study Page: Limits of Infinite Sequences

For Students 9th - 10th
A wonderful study tutorial explaining the limits of infinite sequences. There are theorems and examples.
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Website
University of Toronto (Canada)

University of Toronto Mathematics: Is There Really Such a Thing as "Infinity"?

For Students 9th - 10th
See how the existence of infinity depends on the context in which it is used. Offers a look at the concept of infinity from different view points.
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Unit Plan
TED Talks

Ted: Ted Ed: How Big Is Infinity?

For Students 9th - 10th
Explore the concept of infinity using the fundamentals of set theory in this animated video. [7:13]
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Unit Plan
TED Talks

Ted: Ted Ed: The Infinite Hotel Paradox

For Students 9th - 10th
The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What...
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Graphic
Math Medics

S.o.s. Math: Limits and Infinity

For Students 9th - 10th
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
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Graphic
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Infinite and Non Existent Limits

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding functions which approach infinity or have no limit. Students examine guided notes, review guided practice, watch instructional videos...
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eBook
Mathigon

Mathigon: Real, Irrational, Imaginary Numbers

For Students 9th - 10th Standards
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
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Handout
University of St. Andrews (UK)

University of St. Andrews: History of Set Theory

For Students 9th - 10th
This page, which is provided for by the University of St. Andrews, traces the history of Set Theory as well as the concept of infinity and the infinite set.
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Unit Plan
Khan Academy

Khan Academy: End Behavior of Polynomials

For Students 9th - 10th Standards
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
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Interactive
Math Slice

Math Slice: Math Match Game

For Students 9th - 10th Standards
Test your geometry aptitude using this interactive matching game. Match pictures and symbols to the correct definition. Answers are verified immediately. Winners can earn as much as 10,000 dollars and have their name posted for the day.
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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.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Derivate

For Teachers 9th - 10th
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
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Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]

For Students 9th - 10th
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
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Handout
Texas A&M University

Texas A&m Univ: Limits at Infinity Horizontal Asymptotes

For Students 9th - 10th
This site, created by a math professor at Texas A & M University provides notes about and defines different types of asymptotes.