## Tangram Puzzle

Move, rotate and flip seven shapes to form a square. As you work, think about the geometry connections included in the task of making this tangram square.

## 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.

There are many sources of variation in data, including random error and bias. Observe the difference between error and bias in this line matching exercise.

Explore the concept of slope. Ask yourself why the slope between pairs of points would change or why it would stay the same.

## Three-Noodle Summary

Practice locating the median for odd and even data sets. Consider the information you can glean from a set of data even if you only have Min, Med and Max.

## The Towers Problem

Build as many different looking towers as is possible, each exactly four cubes high using two colors of Unifix® Cubes. Convince yourself and others that you have found all possible towers four cubes high and that you have no duplicates.

## Transforming a Circle

You can find the areas of different polygons by dissecting the polygons and rearranging the pieces into a recognizable simpler shape. Cut a circle into wedges and fit them together to form a crude parallelogram.

## Trigonomic Functions

Use a trigonometry calculator to explore the ratios of sides of a right triangle. Do the sine, cosine and tangent have maximum or minimum values?

## Units and Prefixes

Explore some common units and prefixes in the metric system. Then decide which metric units you would use to measure several displayed objects.

## Variation in Estimates

A computer can perform random sampling and estimation faster than you can. Use the computer to help you estimate a penguin population from computer-selected random samples.

## Working with the Mean Absolute Deviation (MAD)

The concept of the arithmetic mean and deviation from the mean can be graphically representated as a line plot. You will create a line plot to represent specified allocations of coins.