Required Materials

Blank paper

Circular objects of different sizes

A collection of objects that are a circle or have a circular face. Examples include plates, cans, cookie tins, and hockey pucks. 


any fair two-sided coin

Colored pencils

Copies of blackline master

Graphing technology

Examples of graphing technology are: a handheld graphing calculator, a computer with a graphing calculator application installed, and an internet-enabled device with access to a site like or For students using the digital materials, a separate graphing calculator tool isn't necessary; interactive applets are embedded throughout, and a graphing calculator tool is accessible on the student digital toolkit page. 

Graph paper

Index cards

Internet-enabled device

Number cubes

cubes with sides numbered from 1 to 6

Objects for Tower of Hanoi

If not using the digital applet, each student could use a quarter, nickel, penny, and dime, and a piece of paper with 3 circles drawn on it. 

Paper bags

Pre-printed slips, cut from copies of the blackline master

Random number generator

Ribbon or string


Rulers marked with centimeters

Scientific calculators


Slips of paper

Slips with student names

Spreadsheet technology

Statistical technology



A rigid edge that can be used for drawing line segments. Sometimes a ruler is okay to use as a straightedge, but sometimes it is preferable to use an unruled straightedge, like a blank index card.


Tools for creating a visual display

Any way for students to create work that can be easily displayed to the class. Examples: chart paper and markers, whiteboard space and markers, shared online drawing tool, access to a document camera.

Tracing paper

Bundles of "patty paper" are available commercially for a very low cost. These are small sheets (about 5" by 5") of transparent paper.