In Geometry, students can sort attribute blocks by color and shape, build congruent and similar triangles by combining sides and angles, use a Geoboard to illustrate area and perimeter and investigate three-dimensional shapes, use geometric shapes to make patterns, use pentomino
and tangram combinations to solve problems, dynamically interact with and see the results of reflections, rotations, and translations transformations, and change variables and observe patterns from a graphing simulation.
For example, if we begin to play from a very simple initial configuration 'r' Pentomino
(see Figure 3, in the triangle) alone, through 70 time steps, we can see a lot of configurations of 'Life' in the grid, such as 'stable blocks' (see Figure 3, in the pentagon), 'blinkers' (see Figure 3, in the rectangle), 'gliders' (see Figure 3, in the ellipse) and so on.
is a geometric figure consisting of 5 unit squares, each square having at least one side in common with another square.
Any word with 5 different letters that can be king-graphed can have its lettered squares arranged in the shape of either the P or the X pentomino
. Here is the longest word we found for each graph (allowing sources beyond TWL06):
I asked the students to determine whether they had found a pentomino
that looked like the box that I had just cut open.
The 2-square domino can take only one shape but the tromino, tetromino, and pentomino
can assume a variety of forms.
Now next to each pentomino
write the perimeter and area of the pentomino
I realized that I had made a positive impact when we had a visitor in our class during a pentomino
(A puzzle may be described as an activity that one player can solve only by lucky random trial and error.) Otherwise, two, three or four people can play it as a competitive spatial game, rather like the classic Pentomino
game, placing pieces, one after the other, to occupy the spaces of the playing board, and the "heights" above the board.
. To form a pentomino
, put five squares together so that the squares meet only along full sides.