Applets & Internet Resources
| Title | Description |
| Rossman/Chance Applet Collection | This collection mainly focuses on applets exploring statistics. Topics include various sampling distribution stimulations, probability, goodness of fit and ANOVA. |
| NCTM Illuminations | The National Council of Teachers of Mathematics created this resource of applets for all grades. Topics include counting (K-2), modeling fractions, manipulating geometric solids, tessellations, etc. |
| Shoder Interactives | This collection covers a wide range of topics from geometry and graphds to calculus. It even has some applets on discrete math! |
| Falstad Math and Physics | This collection has a variety of math and physics topics, most of which are high-level like vector calculus and Fourier transformations. These applets display a lot of cool applications on mathematics, like quantum mechanics. |
| Beacon Learning Center | This collection has a large number of more elementary school centered topics explaining topics such as geometry, addition and division, measurement. Some of these topics extend into middle school math, such as statistics and graphing functions. |
| Title | Description |
| Factorize Applet | This applet displays graphically how to factorize numbers 1 - 50, students are able to construct rectangles whose area equal the number and determine diffrent ways to factor that number. |
| Euclidian Algorithm Calculator | This website shows the steps of the Euclidian Algorithm to calculate the greatest common divisor of any two numbers using modular arithmetic |
| Caesar Cipher II | This applet displays how arithmetic is used in cryptography to create cyphers. |
| Clock (Modular) Arithmetic | A fun applet that uses a clock visual to help students understand the concept of modular arithmetic. |
| The Nth Prime Page | This interactive website calculates the nth prime number and estimates the number of primes up until an input number using the prime-counting function. |
| Title | Type | Description |
| Prime Factors | Informational Page | This webpage explains why prime factors are important and teaches how to calculate the LCD and GCD |
| Prime Counting Function | Informational Page | An informational discription of how the prime-counting function works (a function that estimates the number of primes up to a certian n) |
| Fermat's Last Theorem | Podcast | A podcast explaining the journey to proving Fermat's Last Theorem, one of the most famous theorems in number theory. |
| XKCD Number Line | Comic | A comic poking fun at number theory and the numbers we do and don't study. |
| The Mathematics of Cryptography | Video | A short video explaining some of the basic math behind modern cryptography, especially modular arithmetic. |
Number Theory Intro Video
Applet 1: Sine Function Transformation
How do various values of b affect the period of sine?
Can you find values of a and b that half the period of sin(x) and increase the amplitude by a factor of 3?
Link to Applet
Applet 2: Inverse Functions
Click to reveal the graph of f inverse. Does f inverse pass the vertical line test? Is it a function?
By changing what f is, can you discover a way to ensure that a function's inverse is itself a function?
Link to Applet
Applet 3: 3d Solids
Which shape's volume grows the most with an increase in height? Which grows the least?
Under what conditions does a cylinder have a greater volume than a sphere with with the same radius? For a cone?
Link to Applet
Applet 4: Original GeoGebra Applet (RSA Encryption)
(step 4) What does relatively prime really mean? Why do we find the greatest common divisor when determining if two numbers are relatively prime?
(step 5) What's the best method you've found for finding e? A calculator could work, but I like considering the multiples of d. Is there a better way to find e?
(steps 6 - 8) What is the advantage of having a public encryption key and private decryption key? How does the theorem on step 8 relate to encrypting and decrypting a message?
Link to Applet