How Would A Baby Die From Aspiration

The game turns

Level: GS

Origin: This activity is an adaptation of game skyscraper that could be found in the journal "Tangent & games."

describes as found on the blog-notes Mathematical Coyote :

Another logical game: the game of the skyscraper. Each box contains a building of 10, 20, 30 or 40 floors (you can add higher buildings on larger grids). Buildings in the same row (row or column) all have different sizes. The information on the edges indicate the number of buildings visible on the same row by an observer at this location. For example, if a line contains the provision 20-40-30-10, two buildings are visible from the left (20 and 40), and three buildings are visible from the right (10, 30 and 40). The goal is to fill the grid. Here is a sample problem:

You can find the answer in the comments on the blog Coyote .

References: The adaptation presented here is based on the book by Dominique Valentin "Discovering the world with mathematics - the great Situations Section "Hatier (Towers p 115 to 128).

worked Skills:
- be aware that an object larger than another can hide it

- use digital information in a spatial framework

- take into account several constraints

Material:

- one colored towers of different heights in large and small format

- bands and grids problems (hardware student from Dominica with the work of Valentine and manufacturing)

- 1 balance sheet per student

procedure possible :
This activity can precede or follow a work on sudoku, there are commonalities in reasoning to implement.

1) Align 5 laps

- Discovery of the principle using major equipment (eg gymnastics):

"How to align the 5 towers of different sizes (1, 2, 3, 4 and 5 storeys) so that the student sees X 3 laps and student Y 2 towers? "

many tests, it moves at each end to see how many towers are visible, it adjusts ... It verbalizes to see why a tower is put in front of the largest, to see why 5 on the alignment of the most smallest to largest.

- Then we move to a smaller size in individual work, you must provide figures to reflect the 2 points of view and do not hesitate to encourage students to "get under the skin of each model and to move as they still need. Each note on its balance sheet with a cross the problems it has solved.

2) 9 laps Place on grid

- On a blank grid, without number, ask students to place the 9 laps so that no two identical towers on the same row or column. When this rule is well understood, it can go to the grids with numbers.

- Allow a person who will take the different places being resolved. Accompany the students, recalling that a great show in the first round and 3 orderly storage of the smallest to the largest.

3) 16 laps Place on grid

Principle but this is the same becomes much more difficult because at first many placements are possible in some areas and students have trouble differentiating the "safe position" of "possible positions. These grids are to be reserved for students more comfortable or to support particular.

All pupils with whom I worked have succeeded only alignments and placements of 9 laps after a longer or shorter period of ownership of the situation.