Assignments Page

Geogebra Applets

Original Applet


Questions for Discovery
1) What method of approximation seems to be the most accurate with the lowest z?
2) When using the 1/2 circle approximation, why is the area of the sum multiplied by 2?
3) Using the 1/4 circle approximation and the right Riemann Sum, what value of z gives you the correct first 3 digits of pi?

Applet 3: 3D Solids


Questions for Discovery
1) What do you notice about the relationships between the formulas for each conic?
2) Set the radius of the cone equal to the height of the cone. Then, set the radius of the sphere to the same number. What do you notice about the volumes?
3) Set the radius of the cone equal to the radius of the cylinder. Then, set both the cone and the cylinder to the same height. What do you notice about the volume of each conic?

Applet 2: Linear Transformations


Questions for Discovery
1) What effect does changing the value of h have on f(x)?
2) What effect does changing the value of k have on f(x)?
3) What effect does changing the value of a have on f(x)?

Applet 1: Sine Function Transformation


Questions for Discovery
1) What effect does changing the value of b have on f(x)?
2) What effect does changing the value of a have on f(x)?
3) What happens to f(x) when the value of a is negative?

Original Video

Technology Enhanced Activity #1

Powerpoint
Class Activity Applet
Explanation Applet

Applet Collections

Title Description
Rossman/Chance Applet Collection This applet collection is a collection of applets that would be very helpful when teaching any statistics topics. The applets are organized by topic (sampling, probablility, statistical inference, etc).
Math Insight This applet collection is a bit harder to navigate because it just has pages of applets, but it is really cool because it includes all sorts of applets for all levels of math. It has everything from an applet that shows how to graph cartesian points on a plane (something you would most likely use in elementary school) to applets about Riemann sums (applets that you would use to teach a calculus class).
Applets Directory This applet directory contains applets that are mainly applicable to high school math courses. This collection is super useful because the applets are categorized into large topic categories such as algebra, fractions, functions, and more. Each category contains smaller topics inside of it. You can click on the topic that you would like to teach or learn more about and it takes you to a page with a possible lesson plan along with multiple applets that you could use.
Math Open Reference This collection of applets contains applets for K-12 math. This collection is extremely well organized- it contains larger categories with multiple topics within each category. For example, if we look at the Plane Geometry section, we can select the topic of triangles. Then, for each topic, there are tons of applets that relate to that topic. In our example of triangles, there are about 30 applets that do everything from discuss the types of triangles to the Pythagorean Theorem.
Antonija's Math Applets This collection is from a teacher who has published all of their applets that they have made to teach with. The applets are organized by topic and although there aren't as many of them, I liked these applets because they're all in Geogebra, are easy to use, and are highly interactive. They also pertain to high school math topics.

Applets

Title Description
Limits: Approaching Pi This applet approximates pi using 2 similar shapes and finding the area between the two shapes. It then shows that the limit as the number of sides approaches infinity approximates pi.
Estimation of Pi This applet approximates pi by dropping data points onto a circle inscribed within a square. The probablility of a data point landing in the circle is then used to approximate pi.
Circumference of a Circle and Pi This applet shows that the ratio of the circumference of a circle to its diameter equals pi.
Riemann Sum Approximation of Pi This applet shows how you can use the area of rectangles and Riemann sums to approximate the value of pi.
Digits of Pi This applet lets you discover that pi is infinite because you use a slider to find more and more digits of pi.

Resources

Title Type Description
Pi Encylcopedia Entry This encyclopedia entry gives overview information about pi as well as a brief history about the different groups of people that used it and how they discovered it.
A Brief History of Pi Video This video talks about the history of pi and how mathematicians all over the world approximated pi.
Real World Applications of Pi Blog This blog gives 10 main industries where pi is used and how it is used in those industries.
Planet Pi Poster This is a poster or an infographic that describes how NASA uses pi and asks readers to find information about a planet based off its circumference.
Person of Interest TV Show This is a clip from season 2 episode 11 of the show "Person of Interest." Mr. Finch describes pi to his students.