## 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.

**Coins**

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 desmos.com/calculator or geogebra.org/graphing. 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**

**Rulers marked with centimeters**

**Scientific calculators**

**Scissors**

**Slips of paper**

**Slips with student names**

**Spreadsheet technology**

**Statistical technology**

**Stopwatches**

**Straightedges**

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.

**Tape**

**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.