Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

## Figurate Numbers

Observe the geometric structure of numbers. Play with square and triangular figurate numbers on a graph and see the shapes that representative dot patterns can take.

## Galton Board

Use the Galton board to validate the Law of Large Numbers. Compare experimental and theoretical results to illustrate the Central Limit Theorem.

## Graphing Lab -- Moose Synthesizer Co.

To price his product and maximize his profit, Albert Moose needs to know all his costs and revenue. Assist Albert with his decision.

## Graphing Lab -- Skiing

Michael and friends are planning a skiing weekend. Show them how to afford it.

## Hypercube

Discover a fourth spatial dimension by using analogies (point, line and plane) from lower dimensions. Model objects of lower dimensions to gain understanding of a hypercube, which exists in the fourth dimension.

## Journal

Answer the journal prompts, including reflections from the workshops and your own classroom. The journal (requires a login) will save your entries for 120 days after you register. However, you can print or transfer your entries to your own computer.

## Metronomes

Compare the ticking of a metronome to a sine wave. Use interactive metronomes to explore the phenomenon of spontaneous synchronization.

## Networks

Learn about the different mathematical tools used to analyze and describe networks. Practice building networks that meet specific criteria.

## Numbers in Nature

Many Renaissance artists and architects used the concept of the golden mean which was thought to be visually pleasing. An Italian mathematician developed a series of numbers related to the golden mean; see if you can detect the pattern.

## Put Your Money to Work

One way to be sure you'll have enough money to live comfortably when you retire is to put your money in a savings account where it will collect interest. Find out how simple and compound interest can help your money grow and calculate your own savings.

## Robots

The owner of a factory has two expensive robots to automate a manufacturing process. Use the topological concept of a configuration space to coordinate their actions and maximize their efficiency on the manufacturing floor.

## Sampling the Electorate

As the pollster for candidate Higgins, you need to know how she is faring with different groups. Read her political profile, view the demographic profile of the city, decide on the groups to poll, review the results and learn about random sampling.

## Shotgun Sequencing

Understand how combinatorics is used in the "shotgun sequencing" of DNA. Create a directed graph to aid in sequencing of nucleotides.

## Sizing Up the Situation

It’s make or break time at the end of the campaign so you must read Ms. Higgins’ political profile, view the demographic profile of the city and decide how many people to poll out of the entire voting age population of 16,000 to get accurate results.

## Spatial Games

Learn how interactions of players, strategies, and outcomes can be illustrated as payoff matrices. Develop spatial models of Hawks versus Doves and Prisoner's Dilemma.

## Symmetry

Observe the parameters for symmetry groups using common motions, such as rotation and reflection. Experiment with wallpaper patterns to learn about requirements of a group.

## Who Says We're Alike?

You are working for candidate Fletcher. Read his political profile, view the demographic profile of the city, and decide which random sample increment to use when you conduct your first telephone poll of Republican women.