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.
To find the area of a shape, surround the shape with a rectangle, determine the areas of the rectangle and subtract the pieces of the rectangle that are outside the original shape. Use this geoboard to create shapes and determine their areas.
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.
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.
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.
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.
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.
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.
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.
Explore several representations of how you spend your time during a typical week and compare them to those of another teacher. Which representations are easier to compare?
Work with widgets and milk cartons to think about unit pricing problems and reflect on the various strategies you used to solve these problems. Then create your own unit pricing problem.
Which hexomino net wastes the least amount of paper and yields the most boxes per sheet? Comment on how concepts such as area, spatial visualization and relationships among geometric shapes are all involved in solving this problem.
How many valentines are exchanged if each of your 24 students gives a valentine to everyone else in the class? Think about how you would solve a similar problem for a school of 1,000 students.
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.
