In Lesson 1 (a portion of which is included on this web site - see below), students examine various plans to limit population growth, simulating situations in which the probability of each outcome is 0.5. Students construct frequency tables and display corresponding histograms for geometric or waiting-time distributions.
Throughout the curriculum, interesting problem contexts serve as the foundation for instruction. As lessons unfold around these problem situations, classroom instruction tends to follow a common pattern as elaborated under Instructional Design.
We have provided
for your perusal a file containing the Simulation Models Table
of Contents and another containing sample material from Lesson 1.
In Course 2, students study the appropriate use of correlation and regression to describe bivariate association. Students continue to develop their ability to understand situations involving chance by using simulations and mathematical analysis to construct probability distributions and study the following topics: multiplication rule for independent events, geometric distributions, expected value, rare events, summation notation, and an introduction to binomial distributions.
In Course 3, students study survey methods, sampling, sampling distributions, relationships between a sample and a population, confidence intervals, and margin of error. In Unit 5, Patterns in Variation, students extend their understanding of measurement of variation, use the normal distribution as a model of variation, and are introduced to probability and statistical inference involved in the control charts used in industry for statistical process control.
In Course 4, students extend their understanding of the binomial distribution and how the binomial distribution is used in statistical inference to test a single proportion and to compare two treatments in an experiment.
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