Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

## Making Sense of Mathematics Text

In this activity, explore different protocols for making sense of mathematical text that meet the needs of your students.

## Metronomes

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

## Mystery Operations

The computer makes up a mystery operation and you have to figure out what it is. Keep entering pairs of numbers for the computer to calculate and try to find the pattern in the answers the computer gives until you think you know what's going on.

## 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.

## People Patterns

Observe a line of people, discover a pattern and figure out who should come next. See if you can complete a pattern of 10 people before the penalty word "Pattern" is spelled out.

## Plot Plans and Silhouettes

Plot out a three-dimensional structure based on two-dimensional silhouettes. Look at the front and side view of figures and use a table to plot out the dimensions that mathematically represent the figures.

## 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.

## Quilts

Copy a quilt block made of 16 squares. Each block will have one of the four symmetry types: H, M, B, or S and you choose which you think it is.

## Representations of an Infinite Series

What are some different ways to represent the sum of consecutive powers of 1/2; that is, 1/2 + 1/4 + 1/8 + 1/16 + ..., etc? Explore physical, numeric, geometric and symbolic representations and consider how you represent math in your own mind.

## Representing Different Styles of Data

This activity explores how to interpret different styles of representing data, focusing on data related to the thinning ozone layer.

## 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.

Can you judge an object by its shadow? Use your mental rotation skills to determine if a shadow can be produced by a particular shape.

## 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.

## Syntax Store

The colors listed in the boxes represent different parts of speech: noun, verb, adjective, adverb, etc. Figure out which colors represent which part of speech and then use the colors to create proper sentences.

## Taxicab Treasure Hunt

To find a hidden treasure use taxicab geometry, a special kind of geometry that counts in city blocks. Pick an intersection, ask the computer how far it is to the treasure and get the distance using taxicab geometry.