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Short description

“Shepherd” is mathematics game that explains the linear function, its position on the coordinate plane. It also teaches graphing and analyzing linear functions.

Target audience

Grade 7-10

Topics covered

Linear functions, function graphs


Each player gets 5 dogs and 4 function graphs cards. Players make their moves using different available function graph cards. They need to move dogs on the game board to herd sheep following 3 possible strategies (rectangle, triangle and straight line). When all the sheep are herded, players count victory points and determine the winner.


Students learn graphing and analyzing linear functions.

Increased student involvement and concentration during the class

Skills learned

Strategic thinking

Communication skills


45 minutes

Number of players

Up to 6

Application possibilities

To introduce the subject before teaching linear functions

For review, after teaching linear functions

What is included?

Game board, 15 bonus cards, 30 game tokens - "dogs", 15 game tokens - "sheep", 49 game tokens - function graphs, rules of the game.


Rules of the game: 

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