Cross the river
Hello mates!!
Today I want to share an activity to work with the term 'probability'.
To work with equiprobable and non-equiprobable events, we start with the following game whose final objective is to cross a river as shown in figure:
Description of the didactic material:
The central strip that is observed in Figure 1 represents a river and on each side twelve squares numbered from 1 to 12. For this game it is
They need 24 chips and two dice.
Instructions and objective of the game:
Two players must participate in this game; each of which has 12 chips. Each card must be placed in each of the twelve boxes (one card per box). The first player will throw two dice, add the points obtained in the upper faces of the same and will pass to the other side of the river the chip that is located in the box that has the number that has obtained when making the sum. Then the two dice will be thrown by the second player who must repeat the same process. This should continue until one of the players passes all his chips on the other side of the river. Is this possible? No, the goal of passing all the chips is not fulfilled for the first position, the river will never pass.
Proposal for the students:
In the first instance, the students are presented with the activity with the objective (impossible) that has been mentioned before. When they identify the impossibility of the proposal, the students will return to play looking for the same goal but now placing the chips where they want (from placing each one in one place to put them all in the same box). They will play the game several times so that they themselves can discover that there are positions from which it is easier to pass to the other side (higher probability of occurrence) and less probable or impossible positions.
Didactic objectives of the game:
The most important aspects dealt with in this game are those of non-equiprobability of events, impossible event and more or less probable event. You can also work the introduction to the graphic representation of the results obtained from the game, such as the histogram:
Today I want to share an activity to work with the term 'probability'.
To work with equiprobable and non-equiprobable events, we start with the following game whose final objective is to cross a river as shown in figure:
The central strip that is observed in Figure 1 represents a river and on each side twelve squares numbered from 1 to 12. For this game it is
They need 24 chips and two dice.
Instructions and objective of the game:
Two players must participate in this game; each of which has 12 chips. Each card must be placed in each of the twelve boxes (one card per box). The first player will throw two dice, add the points obtained in the upper faces of the same and will pass to the other side of the river the chip that is located in the box that has the number that has obtained when making the sum. Then the two dice will be thrown by the second player who must repeat the same process. This should continue until one of the players passes all his chips on the other side of the river. Is this possible? No, the goal of passing all the chips is not fulfilled for the first position, the river will never pass.
Proposal for the students:
In the first instance, the students are presented with the activity with the objective (impossible) that has been mentioned before. When they identify the impossibility of the proposal, the students will return to play looking for the same goal but now placing the chips where they want (from placing each one in one place to put them all in the same box). They will play the game several times so that they themselves can discover that there are positions from which it is easier to pass to the other side (higher probability of occurrence) and less probable or impossible positions.
Didactic objectives of the game:
The most important aspects dealt with in this game are those of non-equiprobability of events, impossible event and more or less probable event. You can also work the introduction to the graphic representation of the results obtained from the game, such as the histogram:
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