| AP Calculus AB Applet Collection by Ken Schwartz | This collection contains applets that expand on the concepts explored in AP Calculus AB. It is a specialized collection, but many of the topics can be used in other classes as well. The collection is based in Geogebra and seperated by topics. |
| APPLETmaths | APPLETmaths is a small collection of applets with explorations of roots and angles within a circle. There are graphical representations of each topic and the appleta walk you through their thinking. The website is also linked to VISUALmaths which is a collection of video clips based on mathematics. |
| MSTE Online Resource Catalog | The Online Resource Catalog is a collection of applets divided into multiple subjects. They also have science applets that are helpful for creating cross-discipline lessons. Each of the subjects have an "Interactive" section and a "Lesson" section that have ideas for lessons. The interactive section is where the applets are linked. |
| Interactivate | This is a very large collection of applets ranging a wide variety of topics. The appsa are divided into sections and there is a filter along the top. Many of the applets are based on graphing, and there is a large section on probability as well. |
| Rossman/Chance Applet Collection (2021) | The Rossman/Chance is a large collection of applets related to probability and statistics. There are applets about ditributions, ANOVA, p-value, and some famous probability problems. The collection is organized into the sections Data Analysis, Probability, Statistical Inference, and Sampling Distribution Simulations. |
| Pascal's Triangle | This applet has multiple sections that teach the students about how Pascal's triangle is consturcted and more. The "Play Sums" options tells the students how it is created. There are multiple other ways to see properties as well and a description at the bottom of the page explains what each interactive element means. |
| Geogebra Pascal's Triangle | This applet allows the students to see a more extensive representation of Pascal's Triangle. The row slider allows the students to see a large amount of rows. There is also a button that shows multiples of n (n=# of rows) which can easily show a pattern for the students to investigate. |
| Pascal's Triangle Calculator | The calculator is helpful for when students need to work with a specific set of rows of the triangle. It allows the students to select some rows to see. It also allows them to see a specific number in a row if needed. |
| Coloring Multiples | This applet allows you to find and see the multiples of numbers in the triangle. As you go through the different options, you will be able to see patterns within the tirangle. |
| Pascal's Triangle Patterns in Geogebra | The Geogebra applet walks the user through many of the patterns that are found in Pascal's Triangle. It has visuals for each and a description that explains the pattern. |
| Comic | This is is a short comic that provides an interesting use of Pascal's Triangle that is used less often. It could lead to a discussion with students on how that application is possible. |
| Information Page | This page walks the user through some of the specific patterns that can be seen in Pascal's Triangle and explains them. It also delves into the relationship between the visual representation of the triangle and the formula it uses. |
| Video | This video is a quick instuctional video for Pascal's Triangle. It touches a little on the history of the triangle, the applications, and what mathematicians are still discovering about it. |
| Video 2 | This video explains Pascal's triangle in a very simple and precise way. Then, it explains how the triangle can help people understand the Binomial Theorem instead of just memorizing. |
| Related Applet | This applet allows the user to use a Galton Board and see how the Normal Distribution patten emerges. The link at the top of the page also explains how Pascal's Triangle is helpful for understanding that phenomenom. |
Questions for dicovery:
1. What changes do you notice on the graph as you make a bigger or smaller?
2. What changes do you notice on the graph as you make b bigger or smaller?
3. Put b=1. Then, put b=-1. What differences do you see between the two graphs? Try the same with a=1 and a=-1.
4. Put b=-1 and a=-1. How does this compare to g(x)? Why do you think this is?
Questions for dicovery:
1. What changes do you notice on the graph as you change the variance?
2. What changes do you notice on the graph as you change the mean?
3. Take a second to look at the Z-distribution while you change the other function.
Why do you think it is more common to do calculations on a Z-distribution?
4. What are some features of the graph that stay constant as you change the mean and variance?
Questions for dicovery:
1. Using the construction, how would you describe the height of the cone in terms of radius.
2. Using the construction, describe the height of the cyliner in terms of radius.
3. What do you find interesting about the relationship between the three objects?
4. Consider any crossection of the construction. What do you notice about the relationship between the crossection areas of each shape?
(Hint: Try getting a crossection of the middle or top. The three areas made by the cross sections of each shape have a special relationship.)
Questions for dicovery:
1. Continue the pattern on your own, does this work for all rows?
2. How do you think this pattern is helpful for mathematicians to know?
3. What do you find interesting about the pattern and how it is found?