Applets & Technology Resources

Applets
Title Description
Derivate Allows one to enter different functions and see the derivative of the function at any given x-value.
The Derivative of a Function Like the first, you can plot a multitude of functions and see the derivative at any x-value. This one also shows the tangent line to the graph and how it changes as you move along the graph.
Derivatives In addition to what the first two applets do, this applet also shows the graph of the first derivative and the second derivative.
Identify the Derivative Function This applet allows you to practice matching the graph of a function to the graph of its derivative.
Intuitive Notion of the Limit This applet provides a look at limits and helps to visualize/practice limits, helpful in providing a foundation for derivatives

Classes of Applets
Title Description
Rossman/Chance Applet Collection A collection of applets covering various statistical topics. Applets are organized into categories relating to different concepts.
Illuminations Illuminations has various applets covering topics that range from Pre-K up to the 12th grade level. Available topics are number & operations, algebra, geometry, measurement, and data analysis & probability. Applets can be filtered by grade level and by topic.
StatKey StatKey has various statistical applets. Topics covered are descriptive statistics & graphs, sampling distributions, theoretical distributions, and more advanced randomization tests.
CauseWeb Cause has many different statistics applets. They're not as neatly organized into one place (as far as I could find) since Cause has a lot of other resources related to statistics education, but you can search "applet" in the search bar and find many options.
Shoder These applets appear to be clunkier, but the collection of applets cover a much larger range of topics. It is also more math focused than stats focused, though it still has many available statistics applets. Available topics are algebra, calculus, discrete, fractions, geometry, probability, statistics, and more.

Resources
Title Type Description
Derivatives for Beginners...Basic Introduction Video A video that provides a beginning, basic overview of derivatives
Derivatives: Definition and Basic Rules Website A website that provides an intro to derivatives with videos and examples to work through
The History of Calculus- a short documentary Video Provides a history of calculus and a background of how we came to know derivatives/conventions for derivatives
Breaking Math podcast: walk the Dog (Calculus: Chain Rule Podcast This podcast goes into derivatives using an analogy of walking your dog around a park.
Introduction to Derivatives Website A website with lots of graphs and examples to introduce derivatives.

Applet 1

Guiding questions
1. How does changing the value of a affect the graph?
2. How does changing the value of b affect the graph?
3. What happens when both a and b are positive? When one is negative? When both are negative?


Applet 2


Applet Guiding
1. Enter a variety of different functions and investigate each line individually, then the lines together.
2. What do you notice about the two lines as points A and B are very close together?
3. The line through points A and B is often called the "average rate of change". What might the line through just point A be?


Applet 3


The Sieve of Eratosthenes is a method to find all prime numbers less than a number n.
Questions
1. What are the prime numbers less than 49?
2. Note that you only have to test up to a certain point before there are only prime numbers remaining. What is the largest prime you had to test?
3. What is the relationship between the largest prime tested, p, and the number, n?
4. By convention, 1 is not considered a prime. Why might that be? If 1 were to be included in the sieve, what would happen?


Desmos Activity


Constructing Graphs