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Abalone
Abalone is a two-player strategy board game in which each player is represented by marbles of opposing colors. The objective is to push six of the opponent's marbles off the edge of the board. Some have called Abalone the “Game of the Decade,” it fortifies math, logic and reasoning skills by causing each player to logically plan each move. Abalone was invented in 1987 by Laurent Levi and Michel Lalet.
Suitable for: All ages
Resources: NetAbalone - http://netabalone.goto-games.com/
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Fire and Ice
Fire and Ice is an abstract strategy game that draws inspiration from Tic-Tac-Toe, but avoids the "Always ends in a draw" problem in some interesting ways. The main idea is to capture three islands in a row, by controlling three points in a row
on each. It's a strategic, move-and-place game with shifting strategies, that increases in complexity. The game was included on the Mensa Select list in 2003.Suitable for: All ages
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Nim
Nim is a two-player mathematical game of strategy in which players take turns removing objects from distinct heaps. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap.
Suitable for: All ages
Resources: Interactive Nim-like game, Pearls - http://www.freegames14.com/Pearls-before-Swine.game5850.html
Interactive Nim - http://www.kongregate.com/games/RicardoRix/nim?referrer=RicardoRix
Ultimate Nim: Binary Numbers and Subpiles in the Optimal Strategy for Nim -http://www.archive.org/search.php?query=Nim
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Rush Hour
Rush Hour is a game of strategy for one player, but students work really well in teams to solve the puzzles. There are puzzles in the levels of beginner, intermediate, advanced and expert. The object is to slide cars along the board to clear the way for the red car to leave the board. A fun, challenging game that really gets you thinking.
Suitable for: All ages
Resources: Online sample of the game - http://www.puzzles.com/products/RushHour/RHfromMarkRiedel/Jam.html
Rush Hour is also available as an iPhone and iPad app.
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Hive
Hive is a highly addictive strategic game for two players that is not restricted by a board and can be played anywhere on any flat surface. Hive is made up of twenty two pieces, eleven black and eleven white, resembling a variety of creatures each with a unique way of moving.
Suitable for: All ages
Resources: Play Hive Online - http://www.hivemania.com/play/?0 (Also available on the iphone & ipad.)
Hive Review - http://www.youtube.com/watch?v=hBtAHbaOawQ&feature=player_embedded
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Cathedral
CATHEDRAL is a two player strategy board game based around a battle for supremacy between two political factions (dark and light) within the walls of a Mediaeval City. Ancient cities were confined by walls for protection against enemies but as the population grew the limited space caused competition of another kind. This game represents that competition for living space within the city wall.
Suitable for: Grade 5 - Year 12
Resources: Cathedral Flash game - http://www.pbmcube.com/pbm3/games/cathedral
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Liars Dice
Liar's Dice is a dice game where each player is given five dice and cup to roll and hide them with. Players make successively higher declarations regarding the results of all the dice remaining in the game, e.g. "there are ten sixes". However, someone can always contest the bid. When that happens, all the dice are revealed and either the bidder or the caller loses dice, depending on who was correct. The last player with dice is the winner.
Suitable for: All Ages
Resources:

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Werewolf
Werewolf is a simple game for a large group of people (seven or more.) It requires no equipment besides some bits of paper; you can play it just sitting in a circle. I'd call it a party game, except that it's a game of accusations, lying, bluffing, second-guessing, assassination, and mob hysteria.