Assignments





Modular Multiplication Table

What do you notice about n*n in every table? Why are all the values in the far right and bottom edges of the table always equal to 0? What other patterns do you see?

Circumscribed Angles Applet

Find the measure of angle APB and derive a general formula.

Applet: 3D Solids Volume Applet

Questions to consider: When is the sphere the same height as the cone and the cylinder? Which 3D solid has the largest volume when they all have the same height and radius? How does the volume of the cone compare to the volume of the cylinder?


Applet: Rectangular and Polar Coordinates

Questions to consider: How could you find "r" from the rectangular coordinates of A? How could you find "alpha" from the rectangular coordinates of A? Is it possible to move point A while keeping alpha constant, how?


Sine Transformation Applet




Applets Collections Table

TitleDescription
Rossman/Chance This collection has loads of applets to experiment with probability, data analysis, and inferencing.
Didax From algebra tiles, to ten frames, and prime factor tiles, this collection has tools and virtual manipulatives that could be used for all ages.
StatKey StatKey is a collection of statistics applets. They have embedded data and so many options for calculating CI's, creating boxplots, and running hypothesis tests. You can manipulate the number of variables, etc.
Calculus This site has a whole bunch of applets demonstrating calculus concepts - instantaneous rates, tangent lines, limits, and continuity.
Pre-Algebra Collection This Geogebra collection has applets that allow students to experiment with all things linear equations: slope, rise over run, and distance on the coordinate plane.

Applets Table

TitleDescription
Coin Toss You can experiment with tossing between 1-8 coins, change the probability of success(heads) and count the number of successes.
Monty Hall This applet allows you to play the Monty Hall game and observe your wins and losses when you choose to switch or stay.
Modular Arithmetic This applet on Geogebra allows students to manipulate variables in the mod function and make inferences about how they are related and to discover the relationship.
Modular Multiplication on a Circle This applet allows you to manipulate the modulo and multiplier to show cool patterns created when doing modular multiplication and connecting the factors around a circle to their product.
Scatterplot and Summary This applet allows you to choose a data set between two qualitative variables and analyze the scatterplot, look at the mean and sd of each variable, and the correlation between the two.

Resources Table

TitleTypeDescription
Basics of Modular Arithmetic Video Describes what modular arithmetic is, goes into the definition and example problems.
Applications of Modular Arithmetic Video This video goes into four real world applications of modular arithmetic - valid credit card numbers, figuring out the day of the week a specific date was, etc!
Modular Arithmetic: The Queen Bee Podcast Goes into the applications of modular arithmetic, specifically in cryptography!
Modular Arithmetic: Driven by Inherent Beauty and Human Curiousity Informational Article This article describes the topic of modular arithmetic, its importance to mathematicians, and recent breakthroughs.
Modular Numbers and Cryptography Website This website provides pictures, descriptions, and examples of modular arithmetic - from different modular operations, to discussing public key cryptography.