Season 2 • Episode 13 • Polyominoes
0Polyominoes
Season 2
Episode 13 Time frame 1 period
Objectives :
•
Introdue the onept of polyominoes.•
Enumerate all polyminos and nd out their orders.Materials :
•
Dominoeswith mathematial symbols.•
Beamer.•
Lesson.1 – Enumerate the polyminoes 25 mins
The teaher explainstheonept ofpolyominoeswith abeamer.Then, workingingroups
of 4 or5, students have to enumerate all the triominoes, tetrominoesand pentominoes.
2 – Speed contest : find out the orders 25 mins
Stillworking ingroups, studentshavetond the order ofallthe triominoes,tetrominoes
and pentominoes. The rst team to omplete the task(or the most advaned at the end
of the hour)gets anA*, the seondanA and the thirda B. Aone minute malusis given
eah time someone in the group speaksFrenh.
3 – Buffer : the hexominoes Remaining time
Polyominoes
Season 2
Episode 13 Document Lesson
In rereationalmathematis, apolyomino is apolyform with the squareas itsbase form.
It is a onneted shape formed as the union of one or more idential squares in distint
loations on the plane, suh that every square an be onneted to every other square
through a sequene of shared edges (i.e., shapes onneted only through shared orners
of squares are not permitted).
Definition 1 Small polyominoes
A monomino is made of just one square, domino is made of two, a triomino of three and so on for tetrominoes, pentominoes, hexominoes, etc.
In this sequene, we will work on free polyominoes, that are onsidered dierent from
eah other aslong as none isa translation, rotation,orreetion of another.
Proposition 1 Numbers of small polyominoes
There are one free monomino, one free domino, two free triominoes, five free tetro- minoes and twelve pentominoes.
The 5free tetrominoes.
