**Goal:**To learn the math needed in order for a fun, fictional world to operate as it progresses from a simple barter economy to a money-based economy with a centralized, tax-based government.

**Skellig: A World of Islands**

Each player gets an island, or skellig--using an Irish word. Each player names their island and designs the island to their liking through sketches and drawings.

Each player selects or

**creates**an animal and a plant as their contribution to the barter economy. They will raise the animal either as livestock for food (e.g., goats) or as pets for sale (e.g., dogs). They will raise the plant as a crop to sell for either food (e.g., spinach) or decor (e.g., roses).

A central, larger island called

*Communio*is used for gatherings and other functions: market, theater, post office, library (the

*Wisdomary*), etc.

The island world of

*Skellig*is inspired by

*The Wizard of Earthsea*(see illustration).

**Health: The Driving Force of the Economy**

Players must eat a balanced diet to maintain their health, as measured by health points. They barter their products at the market and quickly discover that mathematically they need to use

**ratios**, as a goat is probably worth three chickens and a chicken is probably worth 20 tomatoes--for example.

**Good Math Improves Lives. Bad Math Kills!**

Problems arise on

*Skellig*that math can solve. For example, what is the most efficient route for the mail-deliverer to take when traveling among all the islands? Good math can improve the mail-deliverer's life.

If someone does not eat a balanced diet, their health points could go to zero. Bad Math Skills Kill!

If a bridge built between two islands is not strong enough, residents can die. Bad Math Kills!

**The**

*Wisdomary*(The Library)In the

*Wisdomary*resides five cherished books that a scribe regularly updates. Residents of

*Skellig*can suggest additions to any of these books at any time.

*: Interesting questions about math and problems of*

__The Book of Questions__*Skellig*that math may improve are written in this book.

__If one of the questions from__

*The Book of Hypotheses*:*The Book of*

*Questions*is carefully examined by a player and an educated guess made, this question and educated guess are written in

*The Book of Hypotheses.*

*If one of the hypotheses from*

__The Book of Conjectures:__*The Book of*

*Hypotheses*has been tested out with many cases and thus seems true, the hypothesis and tested cases are written in

*The Book of Conjectures*.

*If one of the conjectures from*

__The Book of Proofs:__*The Book of Conjectures*is proven to hold for all numbers or proven to be universally true, the conjecture and proof are written in

*The Book of Proofs.*

*If a new application is found for a conjecture in*

__The Book of Applications:__*The Book of Conjectures*or a proven truth in

*The Book of Proofs*, the application is written in

*The Book of Applications*.

Communal celebrations are held for additions to the last three books:

*The Book of Conjectures, The Book of Proofs,*and

*The Book of Applications.*

**The Mayor of the Islands (**

*the Skelligmeister*)The

*Skelligmeister*prepares and organizes the game and guides the continuity of events. The

*Skelligmeister*teaches the relevant math to the players so they can be productive citizens in

*Skellig*. Players refer to the

*Skelligmeister*by the title

*Meister*.