Unit Overview:
The “Simulation Models” unit introduces students to
simulation and to the idea of probability distributions. Important
probabilistic concepts explored include the Law of Large Numbers,
the geometric distribution, the collector’s problem, and the
idea of independent events.
Simulation is the modeling of a probabilistic situation using random
devices such as coins, spinners, cards, tables of random digits,
or computers. Simulation is useful throughout instruction on probability.
Setting up a simulation helps students clarify their assumptions
about such things as whether trials are independent. Simulation
helps develop student’s intuition about probabilistic events.
And, perhaps most importantly, students who have been introduced
to simulation have a feeling of control over probability. They know
that they can get the answer to any probability problem that arises.
(Teachers Book; Math 1 Part B, Unit 7. Pg T483)
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Objectives:
• To design and carry out simulations in order to estimate
answers to questions about probability
• To use the law of Large Numbers to understand situations
involving chance
• To use tables of random digits in order o perform simulations
and to understand some properties of random digits
• To understand the concept of a probability distribution,
how an approximate probability distribution can be constructed using
simulation and used to understand situations involving chance.
(Teachers Book; Math 1 Part B, Unit 7. Pg T483)
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