Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Each of three groups of students tried to figure out how five people can share eight cookies. Observe as the groups comes up with very different solutions.

## 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.

## Slicing Solids

A cross section is the face you get when you make one slice through an object. See how many shapes you can make when you cut different cross sections of a cube.

## Sorting Buttons

Buttons with various characteristics need sorting. Solve using one-circle, two-circle and three-circle Venn diagrams.

## 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.

## Subdividing Area

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.

## 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.

## 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.

## Tile Patterns

Drag tiles onto the grid in the pattern dictated by n^2+1. Write a function rule to express the total number of tiles you need to build the nth term.

## 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?

## A Typical Week

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?

## Unit Prices

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.