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FINAL PROJECT

ONLINE RESOURSES:

Geogebra Applets:

Mine:

Sine Transformation Applet [UPLOADED LATE]

Conics

Binomial and Geometric Distribution PMFs

Reimann Sums

Relating the Sine Function and the Unit Circle

Golden Rectangles & the Logarithmic Spiral

Polar & Cartesian Coordinates

Polar Equations and Parametric Form

ORIGINAL GEOGEBRA APPLET: Modeling Using the Sine Function


Geogebra Tube:

Polar Boat Game -Locate a boat on the screen in 2D polar coordinates. (This is interesting to me because I think it could be useful in introducing polar coordinates to students and explaining how they work.)

How To Draw Bezier Curves -Shows how to draw "Bezier curves," which are constructed based on a set of points. (This is interesting to me because I'd never heard of them before seeing this applet. They seem sort of like elipses or parabolas, but they are different than either one.)

Ultimate Projectiles Applet This applet shows projectile trajectories. It has several aspects that can be adjusted (equation values and what is/isn't shown). (This is interesting to me because not only could I show this to my math students to illustrate parabolas, but as a physics teacher I could make something like this that would also show the equations, and playing with it could help students to better understand projectile motion. It's also cool to me that gravity can be set to negative values making the projectiles accelerate upward -antigravity (or an electric field pulling a charged particle up)!)

Seven Circles Theorem -This illustrates a really cool theorem -when six circles are placed around a seventh, the three segments joining the points where opposite circles touch the inner circle are concurrent! (This is interesting to me because I wouldn't have guessed it and I am really interested now in why it works and how I could prove it.)

Roots of a Complex Number -This visually illustrates finding the nth root of a complex number (for n=2 through n=8). It is a really helpful way to visualize it and understand what finding the roots algebraically actually represents. It's also cool that it shows how values on the real axis the roots are just what you'd normally expect. (This applet interests me because students often think that imaginary numbers have no real-world meaning. This, along with an explanation of a couple things imaginary numbers can be used for, could be helpful in showing that imaginary numbers actually do represent something "real" in the non-mathematic sense of the word.)

The Dynamic Solar System With Elliptical Orbits -This shows a model of the solar system with the equations of the orbits, and can be animated over time. (This is interesting to me because I could use it to show students a real-life application of what they were learning about equations for ellipses. It is a good review of how ellipse equations work to figure out which equation goes with which planet / the comet.)

Other/Misc Applets:

Collections:
Java Applets on Mathematics -contains mainly geometry applets.
University of Rhode Island Math Applets -mainly calculus and precalculus topics.
IES "Manipula Math" applets -all types of Trigonometry applets.
Waves -applets related to waves and vectors and physics applications.
Probablility -virtual dice & spinner; also contains vector addition applet.

Specific Applets:
Graph Theory -test out different graphs to get an idea for what is req'd for a graph to be Hamiltonian.
Side-Angle-Side -construct triangles by specifying 2 side lengths and the angle between.
Limit of a Function -visualize the delta-epsilon definition of a limit.
Arithmetic and Geometric Sequences -practice distinguishing one from the other.
Elipses -see how changing various parameters effects elipses.

Video Resources:

I might tell students about these resources so that they would know some places they could go on their own to review or learn about a math topic.
I also might use a video from one of these sites in class once in a while if I found one with a really good explanation of a topic the class was about to cover.

Youtube Channels:
Khan Academy -videos covering a wide variety of math topics, useful for students in reviewing/studying.
Wow Math -also has videos reviewing many math topics, including many illustrative example problems.
Patrick JMT Tutorials -similar to the other two, but only for calculus.

Other:
Math Playground -videos about math topics through algebra and geometry.

Maxima:

As a teacher I might use this in class to show graphs of equations, solve problems, etc.
I might prepare what I wanted to show students before class and have it ready to pull up, depending on what it was. I would display what I was demonstrating with a projector.

Maxima -download Maxima here, use to graph equations, make calculations, etc.

Calculator Programming Resources:

I need to learn more about programs for calculators and this is a good way to start.
Some calculators that can be used on AP tests, etc. can be programmed to help solve certain types of problems more quickly, so it would be a good thing to know and be able to show students / help them with.

Calculator Programming -introduction to writing programs for TI calculators. After this I would search the internet for further, more in-depth tutorials.

Other Teacher Resources:

The first two links here would be helpful as a teacher for finding activities and teaching ideas related to the topics I was teaching while figuring out upcoming lesson plans.

InterActivate -contains lesson ideas that could be useful.
Henry Picciotto Site -contains lesson plans and activity ideas.

The link below is something that might be useful to have students do to prepare for standardized multiple-choice general math tests. It could be helpful in determing what topics they needed to review further.

Practice Test Questions -8th grade level, could be used by students to practice before required standardized tests.

This website could be useful for me as a teacher in reviewing probability distributions if I were teaching a statistics course:

Probability Distributions -summary of probability probability distribution theory and information on various specific distributions.